You rented the car for 10 days.
Mathematical word problemLet's begin by setting up the equation to solve for the number of days:
Total rental cost = (daily rental cost + CDW fee) x number of days + gasoline cost
We know that the daily rental cost is 37.45, and the CDW fee is 19.40, so we can substitute those values into the equation:
646.50 = (37.45 + 19.40) x number of days + 78
Simplifying the equation:
646.50 = 56.85 x number of days + 78
Subtracting 78 from both sides:
568.50 = 56.85 x number of days
Dividing both sides by 56.85:
number of days = 10
Therefore, You rented the car for 10 days.
More on mathematical word problems can be found here: https://brainly.com/question/29251834
#SPJ1
Select the values that make the inequality v ≥ 3 true.
(Numbers written in order from least to greatest going across.)
Answer:
The inequality v ≥ 3 can be satisfied by any number greater than or equal to 3, such as 4, 5, 6.7 etc. The smallest value that will make the inequality true is 3 itself. As long as the number chosen for v is greater than or equal to three then it will satisfy the given equation and make it true.
Step-by-step explanation:
The values that make the inequality v ≥ -3 make true are -3, -2.99, -2.9, and 0.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
We have the inequality v ≥ -3.
Here the inequality shows that the value is equal to greater than -3.
1. -11 < -3.
2. -8 < -3
3. -6 < -3
4. -4< -3
5. -3.1< 3
6. -3.01 < -3
7. -3.001 < -3
8. -3 = -3
9. -2.999 > -3
10. -2.99 > -3
11. -2.9 > -3
12. 0 > -3
Learn more about Inequality here:
https://brainly.com/question/30231190
#SPJ2
3 divided by 5/3 i need help and i need longer
Answer: 1.8
Let's put our whole number and fraction side by side so we can visualize the problem we're trying to solve:
3 ÷
5
3
The trick to working out 3 divided by 5/3 is similar to the method we use to work out dividing a fraction by a whole number.
All we need to do here is multiply the whole number by the numerator and make that number the new numerator. The old numerator then becomes the new denominator. Let's write this down visually:
3 x 3
5
=
9
5
So, the answer to the question "what is 3 divided by 5/3?" is:
9
5
Sometimes, after calculating the answer we can simplify the resulting fraction down to lower terms. In this example though 9/5 is already in it's lowest possible form.
If you made it this far you must really love your fractions and dividing whole numbers by them. Hopefully this simple guide was easy for you to follow along and you can now go forth and divide more whole numbers by as many fractions as your heart desires.
Convert 3 divided by 5/3 to Decimal
One last little calculation before you go. It's common to want to express your result as a decimal and, to do that, all you need to do is divide your numerator by your denominator:
9
5
= 1.8
Q1: Use the image to determine the type of transformation shown.
Preimage of polygon ABCD. A second image, polygon A prime B prime C prime D prime to the right of the first image with all points in the same position.
Reflection across the x-axis
90° clockwise rotation
Horizontal translation
Vertical translation
the correct answer is a reflection across the x-axis.
How to solve questions?
Based on the given image, the type of transformation shown is a reflection across the x-axis.
A reflection is a transformation that flips a figure over a line of reflection, in this case, the x-axis. The resulting image is a mirror image of the original figure, with corresponding points on either side of the line of reflection equidistant from it.
In the given image, polygon ABCD is the preimage, and polygon A'B'C'D' is the resulting image. We can see that the two polygons are mirror images of each other across the x-axis. For example, point A in the preimage is reflected across the x-axis to point A' in the resulting image, which is directly below point A. Similarly, point B in the preimage is reflected to point B', point C to C', and point D to D'.
A 90° clockwise rotation would result in a different orientation of the polygon, where point A would move to the position of point B, point B to C, point C to D, and point D to A. A horizontal or vertical translation would result in a shift of the polygon in the respective direction, which is not the case here.
Therefore, the correct answer is a reflection across the x-axis.
To know more about polygon visit :-
https://brainly.com/question/26583264
#SPJ1
Substitute the supplied value and simplify both sides of the equation, if necessary. Then decide if the supplied value is or is not a solution.
m + 2(m + 1) = 14 {4}
The supplied value 4 is a solution to the equation m + 2(m + 1) = 14.
Is the supplied value {4} a solution to the given equation?To solve the equation m + 2(m + 1) = 14 for the supplied value of m = 4, we substitute the value of m into the equation and simplify both sides of the equation.
First, we replace every occurrence of m in the equation with 4:
m + 2(m + 1) = 14
Substitute m with 4
4 + 2(4 + 1) = 14
The parentheses around (4 + 1) indicate that we need to add 4 and 1 together first, before multiplying by 2. This gives us:
4 + 2(5) = 14
We simplify further by performing the multiplication:
4 + 10 = 14
14 = 14
Therefore, when we substitute m = 4 into the equation, we get a true statement. Therefore, 4 is a solution to the equation.
Learn more about equations here: https://brainly.com/question/9236233
#SPJ1
You pick a card at random. 2 3 4 What is P(prime)?
The probability of picking a prime number is 2/3 or approximately 0.667.
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
Out of the given options of 2, 3, and 4, only 2 and 3 are prime numbers. Therefore, the probability of picking a prime number is:
P(prime) = number of prime options / total number of options
P(prime) = 2/3
So the probability of picking a prime number is 2/3 or approximately 0.667.
To learn more about probability from the given link:
https://brainly.com/question/30034780
#SPJ1
In a large population of students, 60% feel like they can do better in their math class. In a random sample of 5 students, what is the probability that at least 2 students feel like they can do better in their math class?
0.0870
0.2304
0.3174
0.6826
0.9130
The probability that at least 2 students feel like they can do better in their math class is E. 0.9130.
How to calculate the probabilityTo find the probability that at least 2 students feel like they can do better, we need to calculate P(X >= 2). This can be done using the cumulative distribution function (CDF) of the binomial distribution:
P(X >= 2) = 1 - P(X < 2) = 1 - P(X = 0) - P(X = 1)
Using the binomial probability formula, we can calculate:
P(X = 0) = (5 choose 0) * 0.6^0 * 0.4^5 = 0.01024
P(X = 1) = (5 choose 1) * 0.6^1 * 0.4^4 = 0.07680
Therefore,
P(X >= 2) = 1 - 0.01024 - 0.07680 = 0.91296
Rounding this to four decimal places, we get: 0.9130
Therefore, the answer is option E: 0.9130.
Learn more about probability on
https://brainly.com/question/13604758
#SPJ1
Use the power-reducing formulas to rewrite the expression in terms of first powers of the cosines of multiple angles.
sin^8(x)
The answer for the given expression is =1/128[35-56cos2x+28cos4x-8cos6x+cos8x]
What is trignomatric functions?
All trigonometric identities are built upon the foundation of the six trigonometric ratios. Some of their names are sine, cosine, tangent, cosecant, secant, and cotangent. The adjacent side, opposite side, and hypotenuse side of the right triangle are used to define each of these trigonometric ratios.
What is multiple angles?
If angle A is taken as a given, then many angles are 2A, 3A, 4A, etc. The many angle formulas employ the double and triple angles formulas. Sine, cosine, and tangent are the often utilised trigonometric functions for the multiple angle formula.
Answer is attached as a image must check:
To know more about tangent visit:
https://brainly.com/question/14022348
#SPJ1
We can rewrite sin⁸x in terms of first powers of the cosines of multiple angles as:
sin⁸x = 1/128 (35 - 4cos²x + 40cos⁴x - 64cos⁶x + cos⁸x)
What is power reducing formula?Trigonometric functions raised to powers can be rewritten using double-angle, half-angle, and Pythagorean identities in power lowering formulas. Equations can be made simpler using them, and trigonometric expressions can be precisely determined.
We can use the power-reducing formulas to rewrite sin⁸x in terms of cosines of multiple angles as follows:
sin²x = 1 - cos²x (first power-reducing formula)
sin⁴x = (sin²x)² = (1 - cos²x)²
= 1 - 2cos²x + cos⁴x (second power-reducing formula)
sin⁶x = (sin⁴x)(sin²x)
= (1 - 2cos²x + cos⁴x)(1 - cos²x)
= 1 - 3cos²x + 3cos⁴x - cos⁶x (third power-reducing formula)
sin⁸x = (sin⁶x)(sin²x)
= (1 - 3cos²x + 3cos⁴x - cos⁶x)(1 - cos²x)
= 1 - 4cos²x + 6cos⁴x - 4cos⁶x + cos⁸x
Now we can substitute the expression for sin⁸x into the given expression and simplify it:
1/128 (35 - 56 cos2x + 28 cos4x - 8 cos6x + cos8x)
= 1/128 (35 - 56(2cos²x-1) + 28(4cos⁴x-3cos²x) - 8(8cos⁶x-8cos⁴x+cos²x) + cos⁸x)
= 1/128 (35 - 112cos²x + 56 + 112cos⁴x - 84cos²x - 64cos⁶x + 64cos⁴x - 8cos²x + cos⁸x)
= 1/128 (35 - 4cos²x + 40cos⁴x - 64cos⁶x + cos⁸x)
Therefore, we can rewrite sin⁸x in terms of first powers of the cosines of multiple angles as:
sin⁸x = 1 - 4cos²x + 6cos⁴x - 4cos⁶x + cos⁸x
= 1/128 (35 - 4cos²x + 40cos⁴x - 64cos⁶x + cos⁸x)
Learn more about power reducing formulas on:
https://brainly.com/question/29586028
#SPJ1
Twenty points! Please help with my Precalc!!
Explain how the special angles are used to find the coordinates points around the Unit Circle and how you find the sine, cosine, and tangent values of the special angles using the Unit Circle.
Answer:
Step-by-step explanation:
The Unit Circle is a circle with a radius of 1 unit that is centered at the origin of a coordinate plane. It is often used in trigonometry to understand the relationships between angles, coordinates, and trigonometric functions such as sine, cosine, and tangent.
Special angles in trigonometry are angles that have commonly used values for their trigonometric functions. These special angles are 0 degrees, 30 degrees, 45 degrees, 60 degrees, and 90 degrees, and their corresponding angles in radians (which are the preferred units for angles in the Unit Circle). These angles have well-defined coordinates on the Unit Circle, and their sine, cosine, and tangent values can be easily determined.
To find the coordinates of points on the Unit Circle for special angles, we can use the following steps:
Start with the angle in radians. For example, if we are finding the coordinates for the angle of 30 degrees, we convert it to radians by multiplying by the conversion factor pi/180 (since there are pi radians in 180 degrees): 30 degrees * (pi/180) = pi/6 radians.
Identify the coordinates on the Unit Circle that correspond to the angle in radians. For example, for an angle of pi/6 radians, we know that it is located in the first quadrant of the Unit Circle, and the coordinates of the point where the angle intersects the Unit Circle are (cos(pi/6), sin(pi/6)).
Use the values of cosine and sine for the special angle from trigonometric tables or from memory. For example, the cosine of pi/6 radians is sqrt(3)/2, and the sine of pi/6 radians is 1/2.
Substitute the cosine and sine values into the coordinates of the Unit Circle. For example, for the angle of 30 degrees or pi/6 radians, the coordinates on the Unit Circle are (cos(pi/6), sin(pi/6)) = (sqrt(3)/2, 1/2).
Use the tangent function to find the tangent value of the special angle. The tangent function is defined as the ratio of sine to cosine: tan(theta) = sin(theta) / cos(theta). For example, for the angle of pi/6 radians, the tangent value is (sin(pi/6)) / (cos(pi/6)) = (1/2) / (sqrt(3)/2) = 1/sqrt(3).
In summary, special angles in trigonometry are used to determine the coordinates of points on the Unit Circle, and the sine, cosine, and tangent values of these special angles can be found using trigonometric tables or from memory, and then applied to the Unit Circle to determine the coordinates and trigonometric function values for these angles.
Find the value of x
The value of 'x' in the given figure is 14.73.
The given figure is a Right-angled triangle.
According to the Pythagorean Theorem, the square of the hypotenuse is equal to the sum of squares of the adjacent side and the opposite side.
In the given figure,
Hypotenuse is 19.
The adjacent side is 12.
The opposite side is x.
Now, we have to find the value of x.
According to the theorem,
19² = 12²+x²
361 = 144+x²
x² = 361 - 144
x² = 217
x = √217
x = 14.73
Therefore, the value of 'x' in the given figure is 14.73.
To know more about the Pythagorean Theorem, click on:https://brainly.com/question/14930619
A ball is hit from the ground. When the ball has traveled a horizontal distance of d d meters, its height, h , h , in meters, can be modeled by the function h ( d ) = − 1 125 d 2 + d . h ( d ) = − 1 125 d 2 + d . What is the horizontal distance from the point where the ball is hit to the point where the ball lands on the ground? Enter your answer in the space provided.
Answer:
Step-by-step explanation:
when h=0
0=-1125d²+d
1125d²-d=0
d(1125d-1)=0
d=0
or 1125d-1=0
d=1/1125 meters
What is the area of a rectangular picture frame with twenty inches in length, and a width of fifteen inches?
The area of the rectangular picture frame with twenty inches in length, and a width of fifteen inches is 180inches.
Given length of the rectangular picture frame = 20inches
Given width of the rectangular picture frame = 15inches
The formula for finding the area of a rectangular frame is the multiplication of both length and width = Length x Width
So, the area of the given rectangular picture frame = 20 x 15 = 180 inches
From the above explanation, we can conclude that the area of the given rectangular frame with length of 20 inches and the width of 15 inches is 180 inches.
To know more about the area of the rectangle,
https://brainly.com/question/19634537
What is the length of RP
The zero product property's assistance. The RP measures 14 cm in length.
What is the Length?The length of a thing refers to its size or length measured from end to end. Or, to put it a different way, it is the larger of a geometrical shape's upper two or three dimensions.
(x+x+2) * (x+2) = (4+6)*4
Conjoin similar terms
(2x+2)(x+2)=10*4
2(x+1)(x+2) = 40
Divide by 2
(x+1)(x+2) = 20
FOIL
x²+2x+x+2=20
x²+3x+2=0
Subtract 20
x²+3x-18=0
Factor
(x +9) (x-6) = 0
Utilising the zero sum property
x+9=0 x-6 =0
x= -9 x=6
The length cannot be negative, hence
x=6
RP = x+2+x
= 6+2+6
= 14
To know more about zero sum property , visit:
https://brainly.com/question/12844119
#SPJ1
What is an equation of the line that passes through the points
(
5
,
−
6
)
(5,−6) and
(
−
5
,
−
4
)
(−5,−4)?
Answer:
y= -1/5x-5
Step-by-step explanation:
You can use the slope formula and the slope intercept form which is y=mx+b.
In •A find CE if BA=7.35.
The value of CE is 14.7 units.
What if the diameter of a circle?The diameter of a given circle is a straight line which passes through the center of the circle and divides it into two equal semi-circles.
So that in the given circle with center A, we have;
CE = BD (diameter of a given circle)
BA = EA = CA = DA (radius of a given circle)
CE is the diameter of the circle, and BA is the radius, so that;
CE = 2*BA
= 2*7.35
= 14.7
CE = 14.7
Learn more about the diameter of a circle at https://brainly.com/question/28162977
#SPJ1
If f(x)=⎧⎩⎨⎪⎪2x−3x2x+5ifififx≤−4−4
, what is f(4)
?
A. 5
B. 16
C. function is not defined for this value
D. 9
The function is defined piecewise, and 4 does not fall under any of the conditions where the function is defined. Therefore, the function is not defined for x=4.
So the answer is C, "function is not defined for this value."
Answer:
9
Step-by-step explanation:
You have 7 people in a work group if you each worked 38 hours last week how many total hours worked by the group
Answer:
266
Step-by-step explanation:
36 hours x 7 people.
Hope this helps...
Please mark me brainliest.
Answer: 266 hours
Step-by-step explanation:
38 x 7 = 266 hours. Each worker worked 38 hours, and there are 7 people. So, multiply worker by time.
Hey can you please help me because I don’t understand this question
The area of the shaded region is 88π square inches.
What is the area of the circle?To find the area of the shaded region, we need to subtract the area of the inner circle (with a radius of 9 inches) from the area of the outer circle (with a radius of 13 inches).
The area of a circle is given by the formula A = πr^2, where r is the radius.
Area of outer circle = π * (13²) = 169π square inches
Area of inner circle = π * (9²) = 81π square inches
Area of shaded region = Area of outer circle - Area of inner circle
= 169π - 81π
= 88π square inches
So, the area of the shaded region is 88π square inches.
To know more about area here:
https://brainly.com/question/25292087
#SPJ1
See text below
A ring-shaped region is shown below. Its inner radius is 9 in, and its outer radius is 13 in.
9 in
13 in
Find the area of the shaded region.
Use 3.14 for π. Do not round your answer.
2
in2
X
G
HELP ASAP if ur good with non-linear and increasing lines and choose 2 of the letter A,B,C,D,E
(Please see the picture!)
Extra points nd brainlist!
Answer:
B and D
Step-by-step explanation:
A and C are linear because they are going in a straight line. E is going downwards, so it is decreasing. That leaves B and D, which have exponential growth.
Help guys come on I believe in you tell me answer
Answer:
a) 3/4
b) 21/4
Step-by-step explanation:
To find the scale factor from A to B take any side of B and divide it by the corresponding side of A
The ratio will be the same for all sides
We have
scale factor = 3/4
We see that the sides 9 and 12 are also in this ratio: 9/12 = 3/4
a) So scale factor from A to B is 3/4
b) w of shape B corresponds to the side with length 7 in shape A
The ratio of w to 7 must be equal to the scale factor
So w/7 = 3/4
w = 7 x 3/4
w = 21/4
Given the graph of the function f(x) below, use a right Riemann sum with 4 rectangles to approximate the integral ∫51f(x)dx.
The right Riemann sum of [tex]\int_1^5f(x).dx[/tex] with 4 rectangles of the function f(x) is 6 square units.
we have to find the area of the function from 1 to 5.
we have to use 4 rectangles.
So, the width of the each rectangle is = (5 - 1)/4 = 4/4 = 1 unit
The figure will be
The right Riemann sum with 4 rectangles will be given by
= [1*5 + 1*4 + 1*0 + 1*(-3)] square units
= (5 + 4 + 0 - 3) square units
= 6 square units.
Hence, the required right Riemann sum is 6 square units.
To know more about Riemann sum here
https://brainly.com/question/29275224
#SPJ1
The question is incomplete. The complete question will be -
"Given the graph of the function f(x) below, use a right Riemann sum with 4 rectangles to approximate the integral [tex]\int_1^5f(x).dx[/tex]."
Company A charges a $125 annual fee plus $7 per hour car share fee.
Company B charges $110 plus $10 per hour. What is the minimum number of
hours that a car share needs to be used per year to make company A a better
deal?
OA. 9
B. 6
O C. 5
D. 11
I saw this problem somewhere and tried to solve it, but it didn't work. Here is the problem; Suppose you have a ruler whose length is infinite, to measure a line of length: 3x + 15y = 12y - 45
Write a function and call it ω, and get the line length per ruler with the function
The function ω that gives the length per ruler for the line 3x + 15y = 12y - 45 is:
ω(x) = √(2)
How do we calculate?rewrite the equation of the line as:
3x - 3y = -45
The line has a slope of:
m = 3/3 = 1
We choose two points on the line with integer coordinates:
Point 1: (0, 15)
Point 2: (15, 30)
d = √t((x2 - x1)^2 + (y2 - y1)^2)
Substituting the coordinates of the two points, we get:
d = √((15 - 0)^2 + (30 - 15)^2)
d = √(225 + 225)
d = √t(450)
d = 15√(2)
Length per ruler = (distance between points) / (total length of line)
3x + 15((3/2)x + 15) = 12((3/2)x + 15) - 45
we simplify this equation, we get:
3x + (45/2)x + 225 = (18/2)x + 180 - 45
Combining like terms, we get:
(57/2)x = 0
Solving for x, we get:
x = 0
Substituting this value of x into the expression for the total length of the line, we get:
y = (3/2)x + 15
y = 15
Length per ruler = (15√(2)) / 15
Length per ruler = √(2)
Learn more about integer coordinates: at: https://brainly.com/question/31026996
#SPJ1
Find the volume of the figure. For calculations involving , give both the exact value and an approximation to the nearest hundredth of a unit. Let d = 10 and h = 18.
________ ft3 ≈ _________ft3
Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.
Explain about the shape of cylinder:A cylinder is three-dimensional. It's not a flat thing. There are parallel circular bases in this shape. These bases have a curved face affixed to them. A cylinder in this instance has three faces. Along both end of a curved face, which rounds back to the face's origin, are two spherical bases.
Given that-
diameter d = 10 ftRadius r = 10/2 = 5 ftHeight h = 18 ftVolume of cylinder = πr²h
Volume of cylinder = 3.14 *5²*18
Volume of cylinder = 3.14*25*18
Volume of cylinder = 1413 ft³
Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.
Know more about the cylinder:
https://brainly.com/question/23935577
#SPJ1
Two runners run in different directions, 60° apart. Alex runs at 5m/s, Barry runs at 4m/s. Barry passes through X 3 seconds after Alex passes through X. At what rate is the distance between them increasing at the instant when Alex is 20 metres past X?
Answer:
Draw a picture of Angkor Wat
all the fifth grade students go outside for exercise. one-half of the students are on the soccer fields. One-fourth of the students are on the basketball courts. One-eight of the students are jogging around the track. Twelve of the students are tossing footballs to each other. How many fifth grade students are outside for exercise? How many students are playing each sport? Show all your mathematical thinking
Answer: 96 fifth grade students outside for exercise. 48 students playing soccer, 24 students playing basketball, 12 students jogging around the track, and 12 students tossing footballs.
Step-by-step explanation:
Let x be the total number of fifth grade students.
- 1/2x are on the soccer fields
- 1/4x are on the basketball courts
- 1/8x are jogging around the track
- 12 students are tossing footballs
x = 1/2x + 1/4x + 1/8x + 12
x = 4/8x + 2/8x + 1/8x + 12
x = 7/8x + 12
1/8x = 12
x = 12*8
x = 96
Therefore, there are 96 fifth grade students outside for exercise.
Soccer fields: 1/2x = 1/2 * 96 = 48 students
Basketball courts: 1/4x = 1/4 * 96 = 24 students
Jogging around the track: 1/8x = 1/8 * 96 = 12 students
Tossing footballs: 12 students (as given in the problem)
There are 48 students playing soccer, 24 students playing basketball, 12 students jogging around the track, and 12 students tossing footballs.
Answer:
96 students in general
Step-by-step explanation:
I drew an Euler circle to make it more clear. so we can see that 1/8 class = 12
so 1/4 class is 12×2=24
1/2 class is 12×4=48
12+12+24+48=96
I hope this helped
A right cylinder has a radius of 4 and a height of 11. What is its surface area?
OA. 152
units²
OB. 120 units²
OC. 88 units²
O D. 60 units²
The closest option among the given options is option B: 120 units².
What is cylinder?
A cylinder is a three-dimensional geometric shape that consists of two parallel circular bases of the same size and shape, and a curved lateral surface connecting the bases.
The formula for the surface area of a right cylinder is:
SA = 2πr² + 2πrh
where r is the radius and h is the height.
Substituting the given values, we get:
SA = 2π(4)² + 2π(4)(11)
SA = 2π(16) + 2π(44)
SA = 32π + 88π
SA = 120π
Using the approximation π ≈ 3.14, we can calculate the surface area to be:
SA ≈ 120(3.14)
SA ≈ 376.8
Therefore, the closest option among the given options is option B: 120 units².
To learn more about cylinders from the given link:
https://brainly.com/question/16134180
#SPJ1
Find the geometric mean of 5 and 320.
A. 35
B. 40
C. 45
D. 50
Answer: 40
Step-by-step explanation:
math
Lanzamos 1000 veces un dado de 6 caras. Calcula la probabilidad de obtener entre 400 y 500 veces un 6.
La probabilidad de obtener entre 400 y 500 veces un 6 en 1000 lanzamientos es de 0.
Calculando la probabilidadEste es un problema de distribución binomial con una probabilidad de éxito del evento (obtener un 6 en un lanzamiento de un dado de 6 caras) de 1/6.
Podemos utilizar una aproximación normal para la distribución binomial si el número de ensayos es grande y la probabilidad de éxito es moderada.
La aproximación normal para una distribución binomial se define como:
Z = (X - μ) / σ
donde X es el número de éxitosμ es el valor esperado de Xσ es la desviación estándar de X.El valor esperado de X es:
μ = n * p = 1000 * 1/6 = 166.67
La desviación estándar de X es:
σ = √(n * p * (1-p)) = √(1000 * 1/6 * 5/6) = 11.79
x = 400: z = (X - μ) / σ = (400 - 166.67) / 11.79 = 19.79
x = 500: z = (X - μ) / σ = (500 - 166.67) / 11.79 = 28.27
La probabilidad de obtener entre 400 y 500 éxitos se puede calcular utilizando la tabla de distribución normal estándar o una calculadora de probabilidad normal.
P(400 ≤ X ≤ 500) = P(19.79 ≤ z ≤ 28.27) = 0
Por lo tanto, la probabilidad de obtener entre 400 y 500 veces un 6 en 1000 lanzamientos es de aproximadamente 0.
Read more about probability at
https://brainly.com/question/251701
#SPJ1
What is the best type of graph for the data set below?
The best type of graph for the data set below is a bar graph. So the correct option is A.
Describe bar graphThe pictorial representation of data which is generally grouped, in the form of vertical or horizontal rectangle-shaped bars is called a bar graph. In this type of graph, the length of bars is a representation of the measure of data. They are also called bar charts. In statistics, bar graphs are one of the ways of data handling.
Statistics is the collection, presentation, analysis, organization, and interpretation of data observations. There are various methods for the representation of this statistical data. These can be tables, bar graphs, pie charts, histograms, frequency polygons, etc.
There are three main characteristics of bar graphs. These are:
It helps in comparing the different sets of data among different groups.
The relationship using two axes is shown where the categories are on one axis and the values are on the other axis.
Major changes in data over time are shown.
Therefore the correct option is A.
To more about graphs, visit:
brainly.com/question/8644324
#SPJ1
The complete question is:
Can someone please help me?
Answer:i think it is c
Step-by-step explanation: