Answer:
1)0.2502
2)0.475
3)0.003505
Step-by-step explanation:
Total No. of question n= 10
There are four choices in each question
So, Probability of success [tex]p = \frac{1}{4}[/tex]
Probability of failure q = [tex]1- \frac{1}{4}=\frac{3}{4}[/tex]
We will use binomial over here
[tex]P(X=x)=^nC_r p^r q^{n-r}[/tex]
1)
[tex]P(X = 3)=^{10}C_3 (\frac{1}{4})^3 (\frac{3}{4})^7\\P(X = 3)=\frac{10!}{3!7!} (\frac{1}{4})^3 (\frac{3}{4})^7\\P(X = 3)=0.2502[/tex]
2) [tex]P(X > 2)=1-P(X\leq 2)[/tex]
P(X>2)=1-(P(X=0)+P(X=1)+P(X=2))
[tex]P(X>2)=1-(^{10}C_0 (\frac{1}{4})^0 (\frac{3}{4})^{10}+(^{10}C_1 (\frac{1}{4})^1 (\frac{3}{4})^9+^{10}C_2 (\frac{1}{4})^2 (\frac{3}{4})^8)[/tex]
[tex]P(X>2)=1-((\frac{1}{4})^0 (\frac{3}{4})^{10}+(\frac{10!}{1!9!} (\frac{1}{4})^1 (\frac{3}{4})^9+\frac{10!}{2!8!} (\frac{1}{4})^2 (\frac{3}{4})^8)[/tex]
P(X>2)=0.475
3)
[tex]P(X\geq 7)=P(X=7)+P(X=8)+P(X=9)+P(X=10)\\\\P(X\geq 7)=^{10}C_7 (\frac{1}{4})^7 (\frac{3}{4})^{3}+(^{10}C_8 (\frac{1}{4})^8 (\frac{3}{4})^2+^{10}C_9 (\frac{1}{4})^9 (\frac{3}{4})^1+^{10}C_{10} (\frac{1}{4})^{10} (\frac{3}{4})^0\\\\P(X\geq 7)=\frac{10!}{7!3!} (\frac{1}{4})^7 (\frac{3}{4})^{3}+\frac{10!}{8!2!} (\frac{1}{4})^8 (\frac{3}{4})^2+\frac{10!}{9!1!} (\frac{1}{4})^9 (\frac{3}{4})^1+\frac{10!}{10!0!}(\frac{1}{4})^{10} (\frac{3}{4})^0\\\\P(X\geq 7)=0.003505[/tex]
10a^2b^0 for a=–3, b=–8
Answer:
90Step-by-step explanation:
Substitute a = -3 and b = -8 to the expression 10a²b⁰:
10(-3)²(-8)⁰ = 10(9)(1) = 90
a⁰ = 1 for any real number
Answer:
90
Step-by-step explanation:
10a^2b^0
Let a=–3, b=–8
10 (-3)^2 ( -8)^0
10 * 9 *1
90
a cylinder made of metal has radius of 18 cm and height 40 cm if melted how many smaller cylinders of radius 2 cm and height 5 cm can be made
Answer:
648
Step-by-step explanation:
Volume of a cylinder =Pi× r²×h
volume of the cylinder before melted
v=Pi×18²×40
v=40715.04cm³
Volume of the smaller cylinder
v=Pi×2²×5
v=62.83
40715.04÷62.83
=648.019
=648 small cylinder can be made
The grocery store sells cantaloupes for $4.50 per pound. Write a function c to
represent the cost for the number of pounds of cantaloupes bought, p.
Answer:
the equation is c=4.50p
Step-by-step explanation:
How to estimate the sum of using different methods. 187,176,154,207
Answer:
tuff
guess you will fail
Step-by-step explanation:
A falcon flew 70 miles in 3 hours. What was the speed of the falcon?
speed = distance over time
1 mile = 1609 meters.
Answer:
37543.3333333 meters per hour
Step-by-step explanation:
How does 5(x - 3) = 7x ÷ 2 become 10(x - 3) = 7x?
a.) Division Property
b.) Addition Property
c.) Multiplication Property
d.) Subtraction Property
Choose the fraction that goes in the blank 1/2< <4/5
Answer:
What are the answer choices?
Step-by-step explanation:
What is the relationship between x and 86?
Answer:
C
Step-by-step explanation:
the answer is C because they are on alternate sides and they are on the exterior meaning the outside.Answer:
alternate exterior angles
Step-by-step explanation:
Which is a perfect square?
Answer:
2 by 2
Step-by-step explanation:
or 4 by 4 I think I mean that would be mine
Answer:
The perfect squares are the squares of the whole numbers: 1 4 9 16 25 36 49, 64, 81, 100 Here are the square roots of all the perfect squares from 1 to 100. 1
Step-by-step explanation:
Approximately how many litres is 70 fluid ounces?
Use the conversion 20 fluid ounces = 1 pint and 1 3|4 pints = 1 litre
The value of 70 fluid ounces in liters would be, 2.065 liters
Used the concept of measurement unit that states that,
A measurement unit is a standard quality used to express a physical quantity. Also, it refers to the comparison between the unknown quantity with the known quantity.
To change 70 fluid ounces in liters.
Since we know that,
1 fluid ounce = 0.0295 liters
Hence, change the units of 70 fluid ounces in liters,
1 fluid ounce = 0.0295 liters
70 fluid ounce = 70 × 0.0295 liters
= 2.065 liters
So, we get;
70 fluid ounce = 2.065 liters
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Jill runs 3/4 of a mile, and
Amy runs 2/3 of a mile.
How far did Jill and Amy
run combined?
Answer:
1 1/5 mile
Step-by-step explanation:
3/4 + 2/3 = 9/12 + 8/12 = 17/12 = 1 1/5
4х + 1 cm
3х – 2 cm
Simplified
Answer:
x= -3
Step-by-step explanation:
4x+1=3x-2
4x-3x=-2-1
x={-3}
In other words it’s....?
Answer:
ummmmmwm whatttt
Step-by-step explanation:
vbbbbhh
As you can see, he uses one square for Stage 1, three squares for Stage 2 and six for Stage 3.
How many squares should he use for the sixth stage?
Answer:
15 square for six stage
Answer:
21
Step-by-step explanation:
stage 1: 1
stage 2: 3
stage 3: 6
the pattern is that the number of squares increases everytime by the stage number it is. for example stage 2 has 3 squares. to find stage 3 you start off with 3 squares (from stage 2), and add the stage number (stage 3). 3+3=6 so stage 3 has 6 squares.
stage 4: 10 (6+4)
stage 5: 15 (10+5)
stage 6: 21 (15+6)
In the game of roulette, a wheel consists of 38 slots, numbered 0, 00, 1, 2, ..., 36. To play the game, a metal ball is spun around the wheel and allowed to fall into one of the numbered slots. The slots numbered 0 and 00 are green, the odd numbers are red, and the even numbers are black. To simulate outcomes from spinning the wheel, a researcher used the integer distribution to randomly generate 1000 numbers from 1 to 38, where 37 represents 0 and 38 represents 00.
Required:
a. What is the probability that the metal ball lands on green or red?
b. What is the probability that the metal ball does not land one green?
Answer:
hkkkkkkkkv
Step-by-step explanation:
khvvvvvvvvvvvvvvv
i cant find the answer to 2 1/4 times 1/6?.. can someone help a kid out
Answer:
0.375 or 3/8
Step-by-step explanation:
calculator :)
Help ASAP
Find the difference
(2x + 6) - (7x + 3).
(2x + 6) - (7x+3)
= 2x + 6 - 7x - 3
=2x - 7x + 6 - 3
= -5x + 3
Answer:
The answer is (-5x + 3).
Step-by-step explanation:
On a field trip, there are 3 adults for every 46 students. Which graph models a relationship with the same unit rate?
Evaluate the expression when b= 2.
12 - b =
Answer:
Well, if b = 2, then 12 - b = 10
Step-by-step explanation:
hope this helps, lol! <3
Which ordered pairs are on the graph of 7x - y = 2?
(-3, -19)
(-1,-9)
(0, -2)
(1, 9)
(3,23)
Answer:
i think it is (0,-2). y=mx+b
(-1,-9) and (0, -2) lie on the graph of 7x - y = 2.
What is a graph in 2 - dimension?A graph in two dimension is the set of points which relates two variables according to a give equation in two variables.
Given,
7x - y = 2
Therefore, the points which satisfy this equation lie on the graph of the equation.
In case of (-1,-9)
7(-1) - (-9) = 2
-7 + 9 = 2
Which is true.
Similarly for (0,-2)
7(0) - (-2) = 2
0 + 2 = 2
Which is true.
Hence, (-1,-9) and (0, -2) lie on the graph of 7x - y = 2.
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The graph shows the relationship between the United States dollar and the euro, the currency of the European Union, in December 2011. Part A: What is the constant of proportionality shown in the graph? *
The graph is missing, so i have attached it;
Answer:
Constant of proportionality = 0.75
Step-by-step explanation:
From the graph attached, we are given 3 coordinate points of (x, y) namely;
(120, 90), (250, 187.5), (400, 300)
Now, constant of proportionality for each coordinate point is simply;
k = y/x
Thus, for first coordinate point (120, 90),
k1 = 90/120
k1 = 0.75
For 2nd coordinate point (250, 187.5),
k2 = 187.5/250
k2 = 0.75
For third coordinate point (400, 300),
k3 = 300/400
k3 = 0.75
From each of the 3 points, we can see the constant of proportionality is the same and equal to 0.75.
How do you do this question?
Answer:
Divergent
Step-by-step explanation:
an = 3 sin(2/n)
Choose bn = 3 (2/n).
Using Limit Comparison Test:
lim(n→∞) an / bn
= lim(n→∞) [3 sin(2/n)] / [3 (2/n)]
= lim(n→∞) [sin(2/n)] / (2/n)
= 1
The limit is greater than 0, and bn diverges, so an also diverges.
5. The total number of people who went to Disneyland this weekend was
6,405. If the ratio of boys to girls is 7 to 9 for those that attended, what was
the TOTAL number of boys and girls that went to Disneyland this weekend?
Show your work or explain your thinking.
Answer:
2,802 boys and 3,693 girls went to Disneyland this weekend
Step-by-step explanation:
System of Equations
Let's call:
b = Number of boys who went to Disneyland this weekend.
g = Number of girls who went to Disneyland this weekend.
The first condition states there was a total of 6,405 people who went to Disneyland this weekend, thus:
[tex]b+g=6,405\qquad\qquad [1][/tex]
The second condition states that the ratio of boys to girls is 7 to 9. This can be written as:
[tex]\displaystyle \frac{b}{g}=\frac{7}{9}\qquad\qquad [2][/tex]
To eliminate denominators, multiply [2] by 9g:
[tex]\displaystyle (9g)\frac{b}{g}=(9g)\frac{7}{9}[/tex]
Simplify:
[tex]9b=7g\qquad\qquad [3][/tex]
From [1]:
[tex]b=6,405-g[/tex]
Substituting into [3]
[tex]9(6,405-g)=7g[/tex]
Operating:
[tex]57,645-9g=7g[/tex]
Simplify:
[tex]16g=57,645[/tex]
Solve:
[tex]g=57,645 / 16 \approx 3,603[/tex]
Take the approximate value:
g=3,603
Find b:
[tex]b=6,405-3,603=2,802[/tex]
2,802 boys and 3,693 girls went to Disneyland this weekend
Note: Due to the nature of the problem, the results had to be rounded to the nearest integer. This condition makes the ratio not being exactly as required.
Which quadratic equation gives the area A of the rectangle in square feet given its width in w feet
Given: (10,900) (20,1600)
Answer: 2nd choice on Ed
Step-by-step explanation:
Answer:
B
2400ft
Step-by-step explanation:
helpp meeee will award brainliest
the circumference of the circle is 23 inches what is the radius of the circle?
Answer:
The radius is 3.66 if you need to round it would be 3.70.
Step-by-step explanation:
r= c/2[tex]\pi[/tex]
23/2pi= 3.66
The radius of the circle for the circumference of the circle is 23 inches is,
⇒ r = 3.66 inches
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
We have to given that;
The circumference of the circle is 23 inches.
Now, We know that;
The circumference of the circle = 2πr
Where, r is radius of the circle.
Hence, We get;
⇒ 2πr = 23
⇒ πr = 23/2
⇒ 3.14 × r = 11.5
⇒ r = 11.5 / 3.14
⇒ r = 3.66 inches
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evaluate the function when x = 5
P(x) = -3 + 4x
Answer:
P(x) = 17
Step-by-step explanation:
P(5) = -3 + 4(5) <- Substitute X
P(5) = -3 + 20 <- Multiply
P(5) = 17 <- Combine Like Terms
Answer:
P(5)=-3+4(5)
P(5)=-3+20
P(5)=17
An object is moving at a speed of 32 yards per hour. Express this speed in feet per day.
Answer
2304 feet per day
Step-by-step explanation:
The object will move 2304 feet per day.
What is speed ?Speed is the distance an object moves in per unit of time.Speed is a scaler quantity because in speed the direction is not specified.
According to he given question an object is moving at a speed of 32 yards per hour.
We know 1 yard is = 3 feet.
∴ 32 yards is = 3×32 = 96 feet.
So, the object is moving at a speed of 96 feet per hour.
We also know that 24 hours is = 1 day.
The object moves 96 feet hour.
∴ The will move (96×24) feet per day.
= 2304 feet per day.
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Fill in the blanks. a. A relative-frequency distribution is to a variable as a __________ distribution is to a random variable. b. A relative-frequency histogram is to a variable as a __________ histogram is to a random variable.
Answer:
a. A relative-frequency distribution is to a variable as a ___probability_______ distribution is to a random variable. b. A relative-frequency histogram is to a variable as a _____probability_____ histogram is to a random variable.
Step-by-step explanation:
Probability is a type of mathematics which deals with numerical descriptions of how likely an event would occur, or how likely it is that a the occurrence would be true. The probability of an event is usually between 0 and 1,
where 0 represent impossibility and 1 represents the chance of it occurring.
a. A relative-frequency distribution is to a variable as a frequency distribution is to a random variable.
b. A relative-frequency histogram is to a variable as a frequency histogram is to a random variable.
The relative frequency of an event is defined as the number of times that the event occurs during experimental trials, divided by the total number of trials conducted.
A frequency distribution is an overview of all distinct values in some variable and the number of times they occur.
If there are many data points and we would like to see the distribution of the data, we can represent the data by a frequency histogram or a relative frequency histogram.So, a. A relative-frequency distribution is to a variable as a frequency distribution is to a random variable.
b. A relative-frequency histogram is to a variable as a frequency histogram is to a random variable.
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-cz+6z= tz+83
solve for z
Answer:
z = 83 /( -c+6-t)
Step-by-step explanation:
-cz+6z= tz+83
Subtract tz from each side
-cz+6z -tz= tz-tz+83
-cz+6z- tz=83
Factor out a z
z( -c+6-t) = 83
Divide by ( -c+6-t)
z( -c+6-t)/( -c+6-t) = 83 /( -c+6-t)
z = 83 /( -c+6-t)