The percentage of children who spend over 10 hours per day unsupervised will be 0.005%.
What is Z-score?A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,
We have been Given that the average time that is unsupervised is 3 hours and the standard deviation is 1.8 hours. The percentage of children who spend over 10 hours per day unsupervised can be calculated as,
P(X>10) = 1 - P(X<10)
= 1 - P(Z< 3.889)
= 1 - 0.99995
= 0.00005
Hence, The percentage is 0.005%.
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The complete question is
Suppose 4-year-olds in a certain country average 3 hours a day unsupervised and that most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.8 hours and the amount of time spent alone is normally distributed. We randomly survey one 4-year-old living in a rural area. We are interested in the amount of time the child spends alone per day. What percent of the children spend over 10 hours per day unsupervised?
Hi , please help ( see images)
This is a word problem and the value of the unknown number is equal to 5.5.
We can write algebraically the second question as 3(x - 1).
Simplifying fully 15xy ÷ 15xy = 1/y
Word problems in mathematicsWord problems are mathematical problems which involves the use of ordinary words, instead of mathematical symbols.
Let us represent the unknown number with the letter x so that we derive the equation;
2x - 2 = 9
we add 2 from both sides of the equation
2x - 2 + 2 = 9 + 2
2x = 11
divide through by the coefficient of x which is 2
2x/2 = 11/2
x = 5.5.
Using x as the unknown, we can write the statement in the second question as 3(x - 1).
15xy ÷ 15xy = 1/y
Therefore, the value of the unknown number for the word problem is equal to 5.5
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Answer:
in order from last to first
3y
(x-1)3
x2-2=9
Step-by-step explanation:
(I also included the image for your previous question))
what is 1 1/2 cups divided by 2?
The 1 1/2 cups divided by 2 is 0.75 cups
Division is the opposite of multiplication. If 3 groups of 4 are multiplied by 12, then dividing 12 into 3 equal groups yields 4 in each group when divided.
Dividend: The dividend is the number that is being divided in the division process.
Divisor: The number by which the dividend is being divided by is called the divisor.
Quotient: The quotient is a result obtained in the division process.
Remainder: Sometimes, we cannot divide things exactly. There may be a leftover number. That leftover number is called the remainder.
The relationship between these four parts can be expressed as follows:
Dividend = Divisor x Quotient + Remainder
The main purpose of sharing is to see how many equal groups form, or how many people belong to each group, when sharing equitably.
In the above example, to divide the 12 donuts into 3 similar groups, we need to place 4 donuts in each group. So dividing 12 by 3 gives 4.
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PLSSS DO IT NOW QUICK STEP BY STEP EXPLANATION>….!!!
-Jake .Kim ,and lee share some money in the ratio 1:3:6
Kim gets $9 more than Jake
How much does Lee get?
Answer:
$30
Step-by-step explanation:
What is a ratio?A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare numbers, and you can compare them using division.
If the ratio is Jake: Kim: Lee, and the amounts are 1: 3: 6, we can use this ratio to solve for the amount of money Lee will get if Kim gets $9 more than Jake:
5: 15: 30How did we get this ratio?Well, in order to get this ratio, we need to multiply each number in the original ratio by 5.
1 × 5 = 53 × 5 = 156 × 5 = 30Therefore, Kim will get $15, which is $9 more than Jake's amount, which is $5. Lee has $30.
What are the initial and final potition respectively
The initial position is the starting point, and the final position is the endpoint.
We proceed to explain the initial and final position:
The initial position is the starting point or location of an object before any movement or displacement occurs. It is often denoted as x0 or xi. The final position is the ending point or location of an object after it has undergone movement or displacement. It is often denoted as xf.For example, if an object starts at the 2 meter mark (initial position) and moves 3 meters to the right, its final position would be at the 5 meter mark.
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A cone with a volume 1,780.38 and a height of 7. What is the radius
Answer:
15.585 is the radius of the cone
What is the domain and range of R(c)
The domain of the function; R (c) as required is; [0, 150].
The range of the function; R (c) as required is; [0, 450].
Which intervals represent the domain and range of the function?As evident in the task content; the given function is; R (c) = 3c and the class has a maximum of 150 bags to sell.
In Essence, the possible values of c are such that; 0 ≤ c ≤ 150.
The domain is therefore; [0, 150].
Hence, the range is; 3(0) ≤ R(c) ≤ 3(150).
Ultimately, the range of the function is; 0 ≤ R (c) ≤ 450.
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PLS HELP PLSSSSSSSSS
Answer:
If r = 2 units and h = 13 units, what is the surface area of the cylinder shown above?
C. 188.4 square units.Step-by-step explanation:
You're welcome.
Find the length of AC
The length of the side AC of the right-angled triangle is equal to 24cm by comparison using the trigonometric ratio of sine of angle B.
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
Considering the right-angled triangles ABC and DBC, we shall evaluate for the length AC using the trigonometric ratio of sine for the angle B° to derive an equation as follows:
For ∆ABC;
sin B = AC/BC {opposite/hypotenuse}
For ∆DBC;
sin B = 24cm/BC {opposite/hypotenuse}
thus;
AC/BC = 24cm/BC
Therefore, by comparison using the trigonometric ratio of sine for the angle B, we have the length of AC equal to 24cm.
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scientists determined that the equation y=0.5x+26 models the amount of shoreline at the beach, y, in feet, x decades after 1950. Which statement is true based on the model
The shoreline is reduced by 0.5 feet every 10 years. Then the correct option is A.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A group of scientists studied the amount of erosion at a beach. The scientist determined that the equation is given below.
y = -0.5 x + 26
Hence, The shoreline is reduced by 0.5 feet every 10 years. Then the correct option is A.
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scientists determined that the equation y=0.5x+26 models the amount of shoreline at the beach, y, in feet, x decades after 1950. Which statement is true based on the model
The shoreline is reduced by 0.5 feet every 10 years.
The shoreline is increased by 0.5 feet every 10 years.
The shoreline is reduced by 26 feet every 10 years.
The shoreline is increased by 26 feet every 10 years.
Which digits are missing from this equation?
3. 58 × 100[(3 × 1) + (5 × 0. 1) + (8 × 0. 01)] × 100
= (3 × ) + (5 × ) + (8 × )
= 358
The digits missing from the equation are 100, 10 and 1 respectively. The solution has been obtained by using the concept of algebraic equation.
What is algebraic equation?
If a mathematical phrase has variables, constants, and algebraic operations, it is said to be "algebraic" (addition, subtraction, etc.). The expression must contain the equals sign and satisfy the algebraic equation.
We are given an expression as
3. 58 × 100[(3 × 1) + (5 × 0. 1) + (8 × 0. 01)] × 100
On multiplying, we get
= (3 × 100) + (5 × 10) + (8 × 1)
= 358
Hence, the digits missing from the equation are 100, 10 and 1 respectively.
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Square root of 2.75?
Answer: 1.65831239518
Step-by-step explanation:
The square root of 2.75 is defined as the only positive real number such that, multiplied by itself, it is equal to 2.75.The square root of 2.75 can be written as
(2.75)1/2. So,(2.75)1/2 = (1.6583123951777 × 1.6583123951777)1/2(2.75)1/2 = [(1.6583123951777)2]1/2(2.75)1/2 = (1.6583123951777)2/2(2.75)1/2 = (1.6583123951777)1Thus,√2.75 = 1.6583123951777
significant figures include only the certain digits of a measurement. True or False?
The statement that significant figures include only the certain digits of a measurement is False
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
Statement: significant figures include only the certain digits of a measurement
The above statement is false
This is so because significant figures refer to the digits in a measurement that are certain or known with confidence, plus the first uncertain or estimated digit.
The addiitonal uncertain digit implies that the statement is false
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In the Normal model N(100, 15) from Exercise 10, what cutoff value bounds
the highest 5% of all IQs?
the lowest 30% of the IQs?
the middle 80% of the IQs?
The highest 5% of all IQs in the N(100, 15) Normal model are bounded by a value of 124.68, while the lowest 30% are bounded by a value of 92.64. The middle 80% of IQs are bounded by values between 80.77 and 119.23.
In the Normal model N(100, 15):
The highest 5% of all IQs are bounded by a z-score of 1.645, which corresponds to a value of 100 + (1.645 * 15) = 124.68. This means that an IQ of 124.68 or higher is in the top 5% of all IQs in this model.
The lowest 30% of the IQs are bounded by a z-score of -0.524, which corresponds to a value of 100 + (-0.524 * 15) = 92.64. This means that an IQ of 92.64 or lower is in the lowest 30% of all IQs in this model.
The middle 80% of the IQs are bounded by z-scores of -1.282 and 1.282, which correspond to values of 100 + (-1.282 * 15) = 80.77 and 100 + (1.282 * 15) = 119.23, respectively. This means that IQs falling between 80.77 and 119.23 are in the middle 80% of all IQs in this model.
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The total area under the frequency polygon for a continuous random variable equals 1? True or False
The given statement "The total area under the frequency polygon for a continuous random variable equals 1" is true because the total area under the frequency polygon is a measure of the probability of the variable and the probability of a continuous random variable is always equal to 1
Frequency polygons are graphical representations of a continuous random variable. The total area under the frequency polygon for a continuous random variable is a measure of the probability of the variable. In this problem, we are asked if the total area under the frequency polygon for a continuous random variable equals 1.
The answer is true. The total area under the frequency polygon for a continuous random variable indicates the probability of the variable. Since the probability of a continuous random variable is always 1, the total area under the frequency polygon also equals 1.
Therefore, it is true that the total area under the frequency polygon for a continuous random variable equals 1.
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what is 23 out of 25 as a percentage
Answer:
92%
Step-by-step explanation:
Match each transformation of function fwith a feature of the transformed function.
domain of (0, ∞)
x-intercept of (-2, 0)
vertical asymptote of x =
j(x) = f(x+3)
g(x) = -f(x − 3)
h(x) = 3 f(x) - 3
range of (-3, ∞)
3
When we transform function f, the resulting transformed function may have certain features that are different from the original function.
⇒ g (x) = - f(x-3) is vertical asymptote of x=3
⇒ j (x) = f(x+3) is x-intercept of (-2,0)
⇒ h (x) = 3f(x) - 3 is domain of (0, ∞)
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
Given function is;
⇒ f(x) = log x
Hence, we get;
g(x) = -f(x+3)= - log(x+3)
g(x) =-f(x-3) is vertical asymptote of x = 3.
j (x) = f(x+3) = log (x+3)
Then, j(x) = f(x+3) is x-intercept of (-2,0)
Domain: As (0,∞),{x | x>0}
h(x) = 3f(x)-3 is domain of (0, ∞)
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The complete question is shown in figure.
a mug slides across a horizontal counter with initial speed v. it slides off the 0.86 m high counter and lands 1 m from the base. what was its initial speed?
slides off the 0.86 m high counter and lands 1 m from the base. what was its initial speed ⇒ Ø = 56.87˚ beneath the horizontal
A. Suppose the horizontal component of the velocity is vx and the vertical is vy.
At first at t=0 (as the mug leaves the counter) the components are v0x and v0y.
v0y = 0 since the customer slides it horizontally so applied force is in the x component as it were.
The equations for horizontal and vertical shot movement are:
x = x0 + v0x t
y = y0 + v0y t - 1/2 g t^2 = y0 - 1/2 g t^2
Setting the beginning to be the end corner of the counter so that x0=0 and y0=0, thus:
x = v0x t
y = - 1/2 g t^2
Given esteem are: x=1.50m and y=-1.15m (y is negative since mug is going down)
1.50m = v0x t - - - - > v0x= 1.50/t
-1.15m = - (1/2) (9.81) t^2 - - - - - > t =0.4842 s
Working out for v0x:
v0x = 3.10 m/s
B. v0x is constant since there could be no other horizontal forces so, v0x=vx=3.10m/s
vy can be calculated from the recipe:
vy = v0y + at where a=-g (negative since going down)
vy = - gt = - 9.81 (0.4842)
vy = - 4.75 m/s
Presently to get the point beneath the horizontal, tan(90-Ø) = - vx/vy
tan(90-Ø )= 3.1/4.75
Ø = 56.87˚ beneath the horizontal
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Which graph represents the linear equation y = −5x − 4?
a graph of a line that passes through the points negative 2 comma 5 and 0 comma negative 3
a graph of a line that passes through the points negative 4 comma negative 1 and 0 comma negative 2
a graph of a line that passes through the points negative 1 comma 1 and 0 comma negative 4
a graph of a line that passes through the points negative 4 comma 3 and negative 2 comma negative 3
The linear equation y = -5x - 4 has a slope of -5 and a y-intercept of -4. Therefore, the correct graph should be a straight line with a slope of -5 and a y-intercept of -4.
Out of the four given options, the graph of a line that passes through the points (-1, 1) and (0, -4) represents the linear equation y = -5x - 4. To see why, we can use the two given points to find the slope of the line:
slope = (change in y) / (change in x) = (-4 - 1) / (0 - (-1)) = -5
The y-intercept is -4, so the equation of the line can be written in slope-intercept form as y = -5x - 4.
Therefore, the graph that represents the linear equation y = -5x - 4 is the graph of a line that passes through the points (-1, 1) and (0, -4).
Answer:
The linear equation y = -5x - 4 has a slope of -5 and a y-intercept of -4. Therefore, the correct graph should be a straight line with a slope of -5 and a y-intercept of -4.
Out of the four given options, the graph of a line that passes through the points (-1, 1) and (0, -4) represents the linear equation y = -5x - 4. To see why, we can use the two given points to find the slope of the line:
slope = (change in y) / (change in x) = (-4 - 1) / (0 - (-1)) = -5
The y-intercept is -4, so the equation of the line can be written in slope-intercept form as y = -5x - 4.
Therefore, the graph that represents the linear equation y = -5x - 4 is the graph of a line that passes through the points (-1, 1) and (0, -4).
Step-by-step explanation:
please help!! performance task: vector operations
Draw u - v + w.
Based on the above, the graph of the resultant vector is shown in the image attached (x-axis).
What is the graph about?We must do a sum of vectors during the graph creation process before drawing the resulting vector.
Thus, while looking at the attached graph, we can claim that the vectors are:
w = <1, 5>
u = <-3, 1>
v = <4, -3>
So, the sum = u - v + w
Note also that in the sum of the vectors we need to add and subtract the correspondent parts and it will be:
u - v + w
= <-3, 1> - <4, -3> + <1, 5>
= <-3 - 4 + 1, 1 + 3 + 5>
= <-6, 9>
Therefore, Based on the above, the graph of the resultant vector is shown in the image attached (x-axis).
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what is log base 2 calculator
A log base 2 calculator calculates the logarithm of a number with respect to base 2.
A tool that helps in calculating a number's logarithm in relation to base 2 is a log base 2 calculators. A base must be increased to the logarithm, or exponent, in order to yield a given number.
The base in this situation is 2, and the exponent to which 2 must be increased in order to equal the supplied number is the logarithm. The base-2 logarithm offers a measure of the number of bits necessary to express a particular amount, making it important in computer science, information theory, and other fields that need computations involving binary integers.
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Fill in the table for y=4x+2
Answer:
x = -2 | y = -6
x = 1 | y = 6
x = 2 | y = 10
Step-by-step explanation:
What is 20% of 2000?
Answer:
Step-by-step explanation:
of is *
20% is 1/5
1/5 *2000= 2000/5= 400
You choose between red, blue, yellow, or green wallpaper and purple or yellow carpet. Find the total number of possible outcomes when you select one color of wallpaper and one color of carpet.
Answer: there are 8 outcomes
Step-by-step explanation:
1: red wallpaper and purple carpet
2: blue wallpaper and purple carpet
3: yellow wallpaper and purple carpet
4: green wallpaper and purple carpet
5: red wallpaper and yellow carpet
6: blue wallpaper and yellow carpet
7: yellow wallpaper and yellow carpet
8: green wallpaper and yellow carpet
How much water should be added to 14 mL of 14% alcohol solution to reduce the concentration to 7%?
We need to add approximately 14.86 mL of water to 14 mL of 14% alcohol solution to reduce the concentration to 7%.
First, let's figure out how much alcohol is in the first 14 mL of the 14% alcohol solution.
Alcohol is equal to 0.14 x 14 (14%) times 14%, or 1.96 mL.
We need to add water so that the amount of alcohol stays the same while the overall volume grows in order to lower the concentration to 7%.
Assume that x mL of water needs to be added.
The volume of the solution will be (14 + x) mL with the addition of x mL of water, while the amount of alcohol will remain at 1.96 mL.
The equation for the ultimate concentration can be written as follows:
1.96 mL / (14 + x) mL = 0.07
When we find x and simplify, we get:
x = (1.96 mL / 0.07) - 14 mL
x ≈ 14.86mL
In order to lower the concentration to 7%, we must therefore add around 14.86 mL of water to 14 mL of 14% alcohol solution.
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Oak City High School ordered jerseys to sell at the
opening game. The school paid $9.25 each for
225 jerseys. Each jersey sold for $15.75. The
school sold 165 jerseys. What percent of the
jerseys did NOT sell? Round to the nearest
percent.
Answer: Percent of the jerseys that did not sell is 27% (approx).
Step-by-step explanation: No. of jerseys sold = 225
No. of jerseys not sold =165
Thus, the percentage of jerseys sold = 165/225 *100 = 73.33333%
percentage of jerseys not sold = 100-73.33 = 26.67% =27%
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Mrs. Mack is looking at the blueprints for a new factory. On the blueprint, the factory floor is a rectangle with a length of 0.3 meter and a width of
0.25 meter. The factory will be built by using a scale factor of 140.
Mrs. Mack wants to know the area of the factory floor. She decides to do this by first determining the dimensions of the factory floor.
What will be the length of the factory floor?
Enter your answer in the box
Answer:
42 meters
Step-by-step explanation:
The length of the factory floor will be 42 meters. This is found by multiplying the length of 0.3 meters by the scale factor of 140, which yields 42 meters.
Answer:
42 meters
Step-by-step explanation:
its correct :)
Hannah is getting balloons for her father's birthday party. She wants each balloon strain to be 12 ft long. At the party store string is sold by the yard. If Hannah wants to get 48 balloons how many yards of string was she need.
Explanation:
1 balloon needs 12 ft of string.
48 balloons need 48*12 = 576 ft of string.
Divide by 3 to convert from feet to yards. This is because 1 yard = 3 ft.
576 ft = 576/3 = 192 yards
a cylinder is sliced such that the cross section is parallel to its bases. what is the shape of the cross section?RectangleCircleTriangleTrapezoid
The shape of the cross section is circle from the following option given.
A cylinder has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes.
When a cylinder is sliced parallel to its bases, the shape of the cross section will be a circle. This is because the bases of a cylinder are circular, and any plane that is parallel to the bases will intersect the cylinder in a circle of the same radius as the bases. Therefore, regardless of the position of the slice, the shape of the cross section will always be a circle.
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Suav deposits $450 every quarter into an account earning a quarterly interest rate of 2.225%. How much would he have in the account after 10 years, to the nearest dollar?
Suav deposits $450 every quarter into an account earning a quarterly interest rate of 2.225%. After 10 years, he would have $7,395 in the account to the nearest dollar.
The formula for calculating the future value (FV) of an investment is: FV = PV(1 + r/n)nt, where PV is the present value, r is the interest rate per period, n is the number of compounding periods per year, and t is the number of years.
In this problem, PV is $450, r is 2.225%, n is 4 (quarters in a year), and t is 10 years. Plugging these values into the formula gives us:
FV = 450(1 + 0.02225/4)4*10 = 450(1.0055625)40 = 450(2.7326) = $7,395
Therefore, after 10 years, Suav would have $7,395 in the account to the nearest dollar.
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how many millions are in billions
Answer:
1000 millions are in a billion
Step-by-step explanation:
1 million can be written as 1000000 (6 zeros)
1 billion can be written as 1000000000 (9 zeros)
the difference in the zeros is three and 1000 has three zeros so we can say,
1000000 x 1000 = 1000000000
their zeros are basically added together.