At a coffee shop, the first 100 customers'
orders were as follows.
What is the probability that a customer ordered
a medium given that he or she ordered a cold
drink?
Rounded to the nearest percent

The mean of the samples is 28.25.

The median of the samples is 28.5

The mode of the samples is 35

The standard deviation of the samples is 5.47.

The mean for highway mileage (mpg) for a sample of 8 different models of a car company is calculated as follows;

mean = (19 + 22, 26, 27, 30, 32, 35, 35)/8

mean = 28.25

The median is calculated as;

median = (27 + 30)/2 = 28.5

mode = 35 (it has the highest frequency)

∑(x - x')² = (19 - 28.25)²  +  (22 - 28.25)² + (26 - 28.25)² + (27 - 28.25)² + (30 - 28.25)²  + (32 - 28.25)² + (35 - 28.25)² + (35 - 28.25)²

∑(x - x')² = 239.5

S.D = √[(∑(x - x')² / N]

S.D = √(239.5/8)

S.D = 5.47

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The value of CE is 14.7 units.

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

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Answer:

Part A: C. The Backyard Bird Count benefits birds and scientists.

Part B: G. Unlike the Big Year, the goal is not to see who can count the most birds

Last part: H. Instead participants in this event work together to help bird experts get a good idea of how birds are doing

Answer:

1. "Big Year" birders have a list of important birds to see.

2. It is pretty hard to cheat your way to a record-breaking year, but in general, few are interested in cheating.

3. Such rewards are in being able to commit a year of your life to doing something you love.

Answer:

-19.8

Step-by-step explanation:

-9 * 2.2

Forget about the - for now.

Multiply 2.2 by 9

The answer is 19.8

So the when the signs are different the answer is always a negative number after multiplying.

So the answer automatically becomes -19.8

HOPE IT HELPED

Person 3's payment exceeded person 2's payment by $20.

To find out how much more person 3 paid than person 2, we need to calculate the amounts each person paid based on the given ratio and then compare their payments.

The ratio given is 1:2:3, which means that person 1 gets 1 part, person 2 gets 2 parts, and person 3 gets 3 parts of the total amount.

Step 1: Calculate the total number of parts in the ratio.

1 + 2 + 3 = 6

Step 2: Determine the value of one part.

$120 (total amount) divided by 6 (total number of parts) = $20

Step 3: Calculate the payments for each person based on the ratio.

Person 1: 1 part * $20 = $20

Person 2: 2 parts * $20 = $40

Person 3: 3 parts * $20 = $60

Therefore, person 3 paid $60, while person 2 paid $40. To find out how much more person 3 paid than person 2, we subtract the amount person 2 paid from the amount person 3 paid:

$60 - $40 = $20

Hence, person 3 paid $20 more than person 2.

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Answer:

B

Step-by-step explanation:

it is the only one where most of the data is concentrated in one place and not spread out

The value of the equation A = ( 2³ x 4 ) / 2 + 2 = 18

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A = 18

Substituting the values in the equation , we get

A = ( 2³ x 4 ) / 2 + 2   be equation (1)

On simplifying the equation , we get

2³ = 8

A = ( 8 x 4 ) / 2 + 2

A = 32/2 + 2

A = 16 + 2

The value of A = 18

Therefore , the value of A = 18

Hence , the equation is A = ( 2³ x 4 ) / 2 + 2

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The required radius of the circle is 10 cm.

The formula for the circumference C of a circle in terms of its radius r is given by:

C = 2πr

We are given that the circumference of the circle is 20π cm. So we can set this expression equal to 20π and solve for r:

20π = 2πr

Dividing both sides by 2π, we get:

r = 10

Therefore, the radius of the circle is 10 cm.

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Answer:

Solving gives us the result, x = 2, y = -1

Step-by-step explanation:

The system of equations is,

y = 2x-5

y=-2x+3

equating the two equations, we get,

(since y = y)

\(2x-5 = -2x + 3\\4x -5 = 3\\4x = 3+5\\4x=8\\x=8/4\\x=2\)

and then since y = 2x-5

\(y=2(2)-5\\y=-1\)

so, x =2, y = -1

The zeros of the function y = -5x - 7  is at x = -7/5

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change (slope) and b is the y intercept.

Given the equation:

y = -5x - 7

The zeros of the function is at y = 0, hence:

0 = -5x - 7

-5x = 7

Dividing through by -5 gives:

x = -7/5

The zeros of the function y = -5x - 7  is at x = -7/5

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Answer:

1040.12

Step-by-step explanation:

695.00

+475.75

=1,170.75

Subtract

24.00

34.21

8.92

60.00

3.50

= 130.63

695.00+475.75=1,170.75-130.63=1040.12

Answer:

\(V=1507.2\ feet^3\)

Step-by-step explanation:

Given that,

The diameter of a cone-shaped sawdust, d = 24 feet

Height of the sawdust, h = 10 feet

We need to find the volume of the pile. We know that the volume of a cone is given by :

\(V=\dfrac{1}{3}\pi r^2 h\)

Where

r is the radius of the sawdust, r = 12 feet

Put all the values,

\(V=\dfrac{1}{3}\times 3.14\times 12^2\times 10\\\\V=1507.2\ feet^3\)

So, the volume of the pile is equal to \(1507.2\ feet^3\).

Answer: -8<x> 2

Step-by-step explanation:

open circles indicate that the number shown is not included therefore x must lie in-between -8 and 2

i cant see anything but dashes..

Answer:

RECT is similar to SQUA since their corresponding angles are the same size, and the side lengths of RECT are three times the corresponding side lengths of SQUA (their corresponding sides are in the same ratio).

Step-by-step explanation:

In similar shapes:

Since RECT and SQUA are both rectangular, their corresponding angles are the same size.

If RECT is similar to SQUA then their corresponding sides will be in the same ratio:

\(\implies \sf RE:EC=SQ:QU\)

From inspection of the given diagram:

Substitute these values into the ratio:

\(\implies \sf 18:10.5=6:3.5\)

Therefore:

\(\implies \sf \dfrac{18}{10.5}=\dfrac{6}{3.5}\)

Cross multiply:

\(\implies \sf 18 \cdot 3.5 = 6 \cdot 10.5\)

\(\implies \sf 63=63\)

As the equation is true, this proves that RECT ~ SQUA.

Note: The side lengths of RECT are three times the corresponding side lengths of SQUA.

Answer:

Step-by-step explanation:

I believe its

(-2,-6)

Answer: C: 12-7x

Step-by-step explanation:

This expression is a good example of the difference of two squares, as 144 is the square of 12, while 49x² is the square of 7x.

Any difference of two squares \(a^2-b^2\) can be factored into the sum of their square roots times the difference of their square roots \((a+b)(a-b)\).

Let's factor our expression.

\(144-49x^2=(12+7x)(12-7x)\)

Out of all the options given, only \(12-7x\) is a factor. Hence, option C is correct.

Answer:

mean = 24

Step-by-step explanation:

the mean is calculated as

mean = \(\frac{sum}{count}\)

the sum of the data set is

sum = 12 + 13 + 15 + 28 + 28 + 30 + 42 = 168

there is a count of 7 in the data set , then

mean = \(\frac{168}{7}\) = 24

Answer:

83

Step-by-step explanation:

\( \frac{ - 332}{ - 4} = 83\)

Answer: 384 calories

Step-by-step explanation:

Answer:

7335

Step-by-step explanation:

Answer:

o is the answer as it passes through origin

Answer:

y-1= -1/3(x+3)

Step-by-step explanation:

y-y1=m(x-x1)

y-1=m(x+3)

the slope is rise over run

the slope is -1/3

Answer:

y - 1 = 3/2 (x + 3)

Step-by-step explanation:

To find the equation of a line parallel to the given line and passing through the point (-3, 1), we can use the point-slope form of a linear equation. The point-slope form is given by:

y - y₁ = m(x - x₁)

Where (x₁, y₁) is the given point and m is the slope of the line.

First, let's calculate the slope of the given line using the two points (-2, -4) and (2, 2):

slope = (y₂ - y₁) / (x₂ - x₁)

= (2 - (-4)) / (2 - (-2))

= 6 / 4

= 3/2

Since the line we want to find is parallel to the given line, it will have the same slope. Therefore, the slope (m) of the new line is also 3/2.

Now we can substitute the values into the point-slope form using the point (-3, 1):

y - 1 = (3/2)(x - (-3))

y - 1 = (3/2)(x + 3)

The equation in point-slope form of the line parallel to the given line and passing through the point (-3, 1) is:

y - 1 = 3/2 (x + 3)

Answer:

Step-by-step explanation:

Given the expression;

3/5 * 2/7

We are to find the product of bothh fractions

3/5 * 2/7

= (3*2)/(5*7)

= 6/35

Hence the correct result is 6/35 or StartFraction 6 Over 35 EndFraction

Answer:

A

Step-by-step explanation:

Answer:

The top left graph

Step-by-step explanation:

All the others are wrong

Answer:

the first one (top left)

go over however many numbers on the left side of the coordinate and up whatever is on the right its always x first y second

Step-by-step explanation:

Answer:

56 degrees

Step-by-step explanation:

Hope this helps

Answer:

124 degrees

Step-by-step explanation: I added them both together

Answer:

C. Yes, these statements have two non-overlapping hypotheses and compare a parameter to a value

Step-by-step explanation:

Hypothesis testing is a statistical method used for accepting or rejecting a statement in statistics. Hypotheses testing are of two types; the null and the alternative hypothesis. The former disproves a particular research statement while the latter (alternative hypothesis) accepts the proof of a statement. When a statement is accepted, it is known as an alternative hypotheses(HA) and when a statement is rejected, it is a null hypothesis (H0)

The statements in question are therefore valid pair of null and alternative hypotheses.

This statements are the hypothesis that compares a parameter to a value as shown;

H0: l = 9

HA: l < 9

H0 and HA are the hypothesis, I is the parameter and 9 is the value.

Based on the above explanation, it can be concluded that the statement above are valid pair of null and alternative hypothesis. They have two non-overlapping hypotheses and compare a parameter to a value.

Answer:

See below.

Step-by-step explanation:

I assume the fraction 3/5 is raised to the 3rd power.

I assume this is the given expression.

\( (\dfrac{3}{5})^3 \)

The base is 3/5    True

The base is 3     False

The exponent is 3    True

The expanded form is \( \dfrac{3}{5} \times \dfrac{3}{5} \times \dfrac{3}{5} \)       True

The expanded form is \( \dfrac{3 \times 3 \times 3}{5} \)     False

\( (\dfrac{3}{5})^3 = \dfrac{9}{15} \)      False

\( (\dfrac{3}{5})^3 = \dfrac{27}{125} \)      True

Answer:

the ratio will be 132 to 89

The ratio is 132 : 89.

A comparison of two quantities by division is called a ratio and the equality of two ratios is called proportion. A ratio can be written in different forms like x : y or x/y and is commonly read as, x is to y.

Ratio is the comparison of two quantities which is obtained by dividing the first quantity by the other. If a and b are two quantities of the same kind and with the same units, such that b is not equal to 0, then the quotient a/b is called the ratio between a and b. Ratios are expressed using the symbol of the colon (:). This means that ratio a/b has no unit and it can be written as a : b

Given:

Boys= 132

girls= 89

adults= 14

So,

the ratio of number of boys to number of girls is

= 132/89

=132 : 89

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The number of students who participated in the survey, based on the histogram showing the number of hours students watch television on the weekend, is 125.

A histogram is a pictorial or graphical representation of categorical data, proportional to the frequency of a variable and whose width is equal to the class interval.

The number of students who watched between 0 - 4 hours = 20

The number of students who watched between 5 - 9 hours = 40

The number of students who watched between 10 - 14 hours = 30

The number of students who watched between 15 - 19 hours = 20

The number of students who watched between 20 - 24 hours = 15

The total number of students who participated = 125

Thus, using the histogram, the total number of students who participated in the survey was 125.

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Where are the rectangles????