The table shows the number of hours spent practicingsinging each week in three samples of 10 randomlyselected chorus members.Time spent practicing singing each week (hours)Sample 1 45873 56 579 Mean = 5.9Sample 2 68 74 5 4 8 4 5 7 Mean = 5.8Sample 3 8 4 6 5 6 4 7 5 93 Mean = 5.7Which statement is most accurate based on the data?O A. A prediction based on the data is not completely reliable, becausethe means are not the same.B. A prediction based on the data is reliable, because the means ofthe samples are close together.O C. A prediction based on the data is reliable, because each samplehas 10 data points.D. A prediction based on the data is not completely reliable, becausethe means are too close together.

Answer:

15 Hours

Step-by-step explanation:

259miles = 7 hours

555miles = x

Cross Multiply

259x = 555×7

259x = 3885

Divide Both sides by 259

x = 3885 ÷ 259

x = 15 hours

It would take the driver 15 hours to get to Atlanta

The budget is 20000 times greater.

Mathematics' fundamentals are arithmetic operations. Addition, subtraction, multiplication, and division are the main operations that make up this concept. The phrase "mathematical operations" also refers to these.

The math operation of subtracting two integers reveals the difference between them. The '-' sign is used to indicate it. In math, subtraction is the process of taking one number away from another to determine what is left over after something has been taken away. Rational number operations are equivalent to those performed on whole numbers. The main distinction is that rational numbers take the form p/q, where p and q are integers and q is not equal to 0. It is necessary to take the LCM of the numerators when adding or subtracting two rational integers.

Here we are discussing the four basic rules of arithmetic operations for all real numbers.

Company A = $2 × [tex]10^{4}[/tex]e

Company B = $ 5 × [tex]10^{8}[/tex]

The difference = $2 × [tex]10^{4}[/tex]

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There are 10 digits from 0 to 9.

First digit 10 ways

Second digit 10 ways

Third digit 10 ways

Fourth digit 10 ways

Hence the total outcomes =10000

Selecting the correct access code on the first try given favorable outcomes =1.

Hence the probability of randomly selecting the correct access code on the first try is 0.0001.

The probability of not selecting the correct access code on the first try=1-The probability of selecting the correct access code on the first try

The probability of not selecting the correct access code on the first try=1-0.0001

Hence the probability of not selecting the correct access code on the first try=0.9999.

The alternate interior angles theorem states that, when two parallel lines are cut by a transversal, the resulting alternate inferior angles are congruent.

In this case:

The ratio of the volume of cube B to the volume of cube A is 1/64

The volume of cube A is 8^3 = 512 cubic inches

The volume if cube B is 2^3 = 8 cubic inches

The ratio of the volume of cube B to the volume of cube A is:

8/512 = 1/64

Solution:

For this case we know that the width is given by:

w = 6x +8

The lenght is given by:

l= 12x +16

And the perimeter would be given by:

P= 2l +2w = 2(12x+16)+ 2(6x+8)= 24x+32 +12x+16=36x + 48

And then the ratio would be:

Given:

The expression for g(f(x)) is,

Substitute x=-9 in the above expression.

Thus, the final value of the expression is -72.

The given points are (5, 1) and (-3, 17).

First, we have to find the slope using the following formula.

Where,

Let's use the coordinates above to find the slope.

The slope is -2.

Now, we use the point-slope formula to find the equation.

Let's use the same coordinates x_1 and y_1, and the slope m = -2.

Now, we solve for y to express the equation in slope-intercept form.

we have the equation

using a graphing tool

see the attached figure

The area of the right angled triangle as well as that of the isosceles triangle is calculated as

Area = 1/2 (b * h)

The explanation is logical, observe the right angled triangle (the one on the left) and you'll see that the length covered by the height (labelled as h) is not the entire width covered by the base (labelled as b) unlike what you have in a rectangle or square. Its only logical to multiply the base by half of the height, otherwise you might end up calculating the area of a rectangle.

That applies to all triangles in general, the area is calculated as

we are given a table of inputs and ouputs of a function. We notice that each output is obtained by multiplying the input by -4:

Therefore, the right answer is A.

To be able to determine which among the coupon gives a lower price, let's determine what is 45% of $73 so that we could compare it with the $30 rebate. The highest amount among the two coupons will give you a lower price.

Let's determinte the 45% of 73:

Coupon A gives you $32.85 dollar off of a $73 Jacket.

Coupon A will give you a lower price compared to Coupon B. The price of the jacket will be $2.85 lesser than using Coupon B.

n = number of nickels

d = number of dimes

1 nickel = 5 cents

1 dime = 10 cents

total number of 21 coins:

n + d = 21

Total value = $1.70

5n + 10 d = 170

Divide by 100

0.05n + 0.10 d = 1.70

Answer:

n + d = 21

0.05n + 0.10 d = 1.70

We have that the scale factor is 5, then, the dilation is an enlargement.

Then, the new lengths are:

therefore, A'C' =25.

Finally, the dilations don't affect the angles, therefore, angle A remains with the measure of 37°

We will have the following:

Since the rectangles are similar, that means their sides are proportional.

Since the bigger rectangle has a base of 24cm and the smaller one's base is 20cm, the proportion the sides hold is

This means the sides of the larger rectangle are 1.2 times larger than those of the smaller one.

The area of the small rectangle is 80cm². Since

where b is the lenght of the base and h is the lenght of the height, then

So the height of the small rectangle will be 4cm. But as we previously deduced, the height of the larger rectangle will be 1.2 times larger than that of the smaller one, so it's height will be

And so, its are is

We can confirm this because

which is the proportion the areas of the rectangles hold.

Answer:

Explanation:

Given the below system of linear inequality;

The graph of the linear inequality y < 3 will be a graph with a dashed line with a y-intercept of 3 since the inequality is not with an equal sign as seen below;

The graph of the 2nd linear inequality y >= -5 will be a graph with a solid line with a y-intercept of -5 since it has both the inequality sign and an equality sign as seen below;

The calculation of the coefficient of determination, or R² rounded to three decimal places is 0.080.

The coefficient of determination, R², is a statistical measurement that determines the proportion of variance in the dependent variable that the independent variable can explain.

In other words, R² shows how well the actual data is approximated by the regression line.

R-Squared (R²) is widely used to predict future outcomes and for hypothesis testing because it provides information about the goodness of fit of the statistical model.

x         y

61      48

95     76

97     82

101    95

115    118

The total sum of squares (SST) = 2640.8

The sum of squares of regression (SSR) = 2429.8

R² = 1 - SSR/SST

R² = 1 - 2429.8/2640.8

R² = 1 - 0.92

R² = 0.080

R² = 8%

Thus, with R² = 8%, we can conclude that the y values are only accountable for 8% of the variation in x.

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Given:

Total student = 4

Joe, Sofia, Hayden, and Bonita.

Find-:

Probability he draws Sofia then Joe.

Explanation-:

Probability: Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

The formula of probability:

For Sofia.

Total number of possible outcomes = 4

Favorable outcomes for Sofia = 1

So probability for Sofia :

After the first student set it aside.

For Joe.

Total number of possible outcomes = 3

A favorable outcome for Joe = 1

So probability for Joe.

So probability for Sofia then joe is:

If the value of B increases, the period of the function decreases, and the frequency of the function increases. When the value of B is negative, the graph of the function reflects over the y-axis.

Let the tangent function be f(z) = tan (Bz)

The period exists [tex]$P=\frac{\pi}{|B|}$[/tex]

The frequency exists [tex]$F=\frac{1}{P}=\frac{|B|}{\pi}$[/tex].

The period exists inversely proportional to B, therefore, as B increases, the period decreases.

Frequency exists inversely proportional to the period, therefore, as the period decreases, the frequency increases.

When B is negative, we get f(z) = tan -Bz = f(-z), therefore, the function exists reflected over the y-axis, as the graph at the end of the answer shows, with f(z) exists red(B positive) and f(-z) exists blue(B negative).

As the value of B increases, the period of the function decreases, and the frequency of the function increases. When the value of B exists negative, the graph of the function reflects over the y-axis.

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Tim should order approximately 6 pizza.

Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on. One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction. Mathematicians use addition, subtraction, multiplication, and division as their four fundamental arithmetic operations. The division is one of these four operations that we employ most frequently in our daily work. It involves dividing a huge group into equally sized smaller units. Divide 25, for instance, by 5.

Given Data

Number of employees = 22

Slice of pizza one should get = 1/4

Dividing 22 by 1/4

[tex]\frac{22}{4}[/tex]

5 and [tex]\frac{1}{2}[/tex]

Tim should order approximately 6 pizza.

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All the zeros of following function f(x)=x4−8x2−9 are 3, -3, i, -i

A number x that reduces the value of a function f to 0 is known as its root in mathematics: f(x) = 0.

Roots are actual objects since polynomials are functions as well.

Every polynomial with complex coefficients has at least one (complex) root, according to the fundamental theorem of algebra.

f(x)=x4−8x2−9

You should set (x4 - 8x2 - 9) to 0.

x4−8x2−9=0

Learn what x's value is.

Put u=x2 in the equation's place.

As a result, applying the quadratic formula will be straightforward.

u2−8u−9=0

Consider the equation x2+bx+c.

Write out the factored form (u-9)(u+1) = 0.

The answer is the set of all numbers that add up to (u9)(u+1)=0.

u=9,−1

If u=x2 has a genuine value, change it to x2=9,  x2= -1

In the case of these equations, x = +3, -3, and  -i, +i .

The whole solution is made of of the solution's positive and negative components.

x4- 8x2- 9 = 0 has a solution.

is x=3,−3, i,−i

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In order to graph g(x) with the graph of f(x), first we need a translation of 3 units to the right, because of the term f(x - 3)

Then, we need a translation of 4 units down, because of the term -4.

So the movements are: translations of 3 units right and 4 units down.

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

The equation of a circle is given as :

comparing with the given equation:

we have that:

CONCLUSION:

From the detailed explanation, we can see that the correct answer is:

Hello!

First, let's analyze the figure and write each side:

Analyzing it, we don't have enough information yet to calculate the tangent (because we don't know the measurement of P).

So, let's calculate the opposite side (by Pithagoras):

As we know the opposite side, we can calculate the tangent of P, look:

Curiosity: using the trigonometric table, this value corresponds to approximately 13º.

The tangent of P is 0.225.

Remember that 40%=0.4.

Per sweater, the profit is

$26 of profit per sweater.

Finally, for the eight sweaters, the total profit is

$208 is the profit for 8 sweaters

to find the distribution of

rewrite 32 as an addition

rewrite the product

distribute the 9

Answer:

x = 21

Explanation:

Figure A is a scaled version of figure B. This means that the ratio between any two sides must be the same for both figures.

It follows then

which just means that the ratio f sides 27 with 45 must be the same as the ratio between side x and 35. Why? Because these two sides are the same across the two figures and therefore their size with respect to each other must not change.

Now to find the value of x, we simply need to solve for x.

We do this by multipying both sides by 35: