The line plot displays the number of roses purchased per day at a grocery store.

A horizontal line starting at 0 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 10. There are two dots above 1 and 4. There are three dots above 2 and 5. There are 4 dots above 3.

Which of the following is the best measure of variability for the data, and what is its value?

The IQR is the best measure of variability, and it equals 3.
The IQR is the best measure of variability, and it equals 9.
The range is the best measure of variability, and it equals 3.
The range is the best measure of variability, and it equals 9.

Answer: The answer is A.

Step-by-step explanation:

Seems the most appropriate, but I’m not sure.

Take the risk.

The amount it cost for Yvonne to go to college is = $40,000

The number of years to complete college= 5 years

Yvonne salary per year = $45,000

For 5 years her salary = 45,000

4.5 years = X

Make X the subject of formula,

X = 45,000 × 4.5/5

X = 202,500/5

X =$ 40,000

Therefore, the amount it cost for Yvonne to go to college is = $40,000.

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Answer:

7/10= y/ 100

Well the answer is

y=70

With a mean of $32,500 and a standard deviation of $2,500. The z-score for a sales associate who earns $37,500 is 2.

The z-score, also known as a standard score, is a measure of how many standard deviations a given value is from the mean. It is used to standardize the data and make it easier to compare and interpret. The formula for the z-score is:

z = (x - μ) / σ

where x is the value of interest, μ is the mean, and σ is the standard deviation.

In this case, the mean annual salary for sales associates from a particular store is $32,500 and the standard deviation is $2,500. We want to find the z-score for a sales associate who earns $37,500. Plugging in the values, we get:

z = ($37,500 - $32,500) / $2,500 = 2

This means that the sales associate's salary is 2 standard deviations above the mean.

Interpreting the z-score can help us understand how unusual or typical a given value is in comparison to the mean. In this case, a z-score of 2 indicates that the sales associate's salary is relatively high compared to the mean, but it is not an extremely high salary.

We can use a standard normal table to find the proportion of the data that falls below a given z-score, or to find the corresponding value for a given proportion of the data.

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Answer:

1. Their ages are:

Steve's age = 18

Anne's age = 8

2. Their ages are:

Max's age = 17

Bert's age = 11

3. Their ages are:

Sury's age = 19

Billy's age = 9

4. Their ages are:

The man's age = 30

His son's age = 10

Step-by-step explanation:

1. We make the assumption that:

S = Steve's age

A = Anne's age

In four years, we are going to have:

S + 4 = (A + 4)2 - 2 = 2A + 8 - 2

S + 4 = 2A + 6 .................. (1)

Three years ago, we had:

S - 3 = (A - 3)3

S - 3 = 3A - 9

S = 3A - 9 + 3

S = 3A – 6 …………. (2)

Substitute S from (2) into (1) and solve for A, we have:

3A – 6 + 4 = 2A + 6

3A – 2A = 6 + 6 – 4

A = 8

Substitute A = 8 into (3), we have:

S = (3 * 8) – 6 = 24 – 6

S = 18

Therefore, we have:

Steve's age = 18

Anne's age = 8.

2. We make the assumption that:

M = Max's age

B = Bert's age

Five years ago, we had:

M - 5 = (B - 5)2

M - 5 = 2B - 10 .......................... (3)

A year from now, it will be:

(M + 1) + (B + 1) = 30

M + 1 + B + 1 = 30

M + B + 2 = 30

M = 30 – 2 – B

M = 28 – B …………………… (4)

Substitute M from (4) into (3) and solve for B, we have:

28 – B – 5 = 2B – 10

28 – 5 + 10 = 2B + B

33 = 3B

B = 33 / 3

B = 11

If we substitute B = 11 into equation (4), we will have:

M = 28 – 11

M = 17

Therefore, their ages are:

Max's age = 17

Bert's age = 11.

3. We make the assumption that:

S = Sury's age

B = Billy's age

Now, we have:

S = B + 10 ................................ (5)

Next year, it will be:

S + 1 = (B + 1)2

S + 1 = 2B + 2 .......................... (6)

Substituting S from equation (5) into equation (6) and solve for B, we will have:

B + 10 + 1 = 2B + 2

10 + 1 – 2 = 2B – B

B = 9

Substituting B = 9 into equation (5), we have:

S = 9 + 10

S = 19

Therefore, their ages are:

Sury's age = 19

Billy's age = 9.

4. We make the assumption that:

M = The man's age

S = His son's age

Therefore, now, we have:

M = 3S ................................... (7)

Five years ago, we had:

M - 5 = (S - 5)5

M - 5 = 5S - 25 ................ (8)

Substituting M = 3S from (7) into (8) and solve for S, we have:

3S - 5 = 5S – 25

3S – 5S = - 25 + 5

-2S = - 20

S = -20 / -2

S = 10

Substituting S = 10 into equation (7), we have:

M = 3 * 10 = 30

Therefore, their ages are:

The man's age = 30

His son's age = 10

The two unit rates that represent the given recipe are:

A unit rate is a rate in which the denominator is 1. In the given recipe, we can express two unit rates as follows:

Milk per egg:

The recipe uses 2 tablespoons of milk for every 3 eggs. To express this as a unit rate, we can divide both sides by 3 to get the amount of milk used per egg, hence, the unit is 2/3 tablespoons of milk per egg

Eggs per milk:

We can express the recipe in terms of eggs per tablespoon of milk. To do this, we can divide both sides by 2 to get the number of eggs per tablespoon of milk, hence, the unit is 3/2 eggs per tablespoon of milk

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Answer:

35 more preferred white

Step-by-step explanation:

Black 18% * 250 = 18/100 * 250 = 45

White 32%*250 = 32/100 * 250 = 80

The  difference is 80 - 45 = 35

The surface area of the triangular prism is 313.47 cm².

Given is a triangular prism, we need to find the surface area,

A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces. The rectangular faces are referred to as the lateral faces, while the triangular faces are called bases. The bases are also called the top and the bottom (faces) of the prism.

Triangular Prism Meaning: A triangular prism is a 3D polyhedron with three rectangular faces and two triangular faces. The 2 triangular faces are congruent to each other, and the 3 lateral faces which are in the shape of rectangles are also congruent to each other. Thus, a triangular prism has 5 faces, 9 edges, and 6 vertices. Observe the following image of a triangular prism in which l represents the length of the prism, h represents the height of the base triangle, and b represents the bottom edge of the base triangle.

so, the surface area of a triangular prism =

perimeter × length + 2 × base area

So,

SA = (4.5+7.2+9) × 8.1 + 2 × 8.1 × 9

= 167.67 + 145.8

= 313.47

Hence the surface area of the triangular prism is 313.47 cm².

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Answer:

See below.

Step-by-step explanation:

We are asked to simplify the equation.

First, we should Combine Like Terms.

Combining Like Terms is adding terms that are alike.

For example, 4x and 11x are like terms since there's no differences than the coefficient, which can be different.

Let's combine like terms for this problem now.

Combine Like Terms:

\(\frac{2}{5} x+ 7 - \frac{2}{3} x -15\\\\\frac{2}{5} x - \frac{2}{3} x = \frac{6}{15} x - \frac{10}{15} x=-\frac{4}{15} x\\\\7 - 15 = -8\)

We should have;

\(- \frac{4}{15} x - 8\)

This will be our final answer.

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Answer:

i guess it is 54-11+7 , the second one

(a) Clicks Width of Door (inches)

1 3.3

2 3.63

3 3.99

4 4.39
(b) The function is y = 3  (1.1)ˣ.

(c) It would take about 15 clicks of the zoom-in button to make the door approximately 3 feet wide on the screen.

(d) It would take about 12 clicks of the zoom-out button to transform the display of the door from 3 feet wide back to a width of approximately 3 inches.

(a)

Clicks Width of Door (inches)

1 3.3

2 3.63

3 3.99

4 4.39

(b) Let x be the number of clicks and y be the width of the door on the screen. Then, we can write the algebraic rule as:

y = 3  (1.1)ˣ

(c) To make the door approximately 3 feet wide on screen, we need to convert 3 feet to inches, which is 36 inches. Then, we need to solve for x in the equation:

3 (1.1)ˣ = 36

Dividing both sides by 3, we get:

(1.1)ˣ = 12

Taking the logarithm of both sides (with base 1.1), we get:

x = log(12) / log(1.1) ≈ 14.7

So, it would take about 15 clicks of the zoom-in button to make the door approximately 3 feet wide on the screen.

(d) To transform the display of the door from 3 feet wide back to a width of approximately 3 inches, we need to find the number of clicks of the zoom-out button that will result in a width of approximately 3 inches. We can use the same formula as before, but with the initial width of 36 inches (since we are zooming out):

36 (0.9)ˣ = 3

Dividing both sides by 36, we get:

(0.9)ˣ = 1/12

Taking the logarithm of both sides (with base 0.9), we get:

x = log(1/12) / log(0.9) ≈ 11.5

So, it would take about 12 clicks of the zoom-out button to transform the display of the door from 3 feet wide back to a width of approximately 3 inches.

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The function g(x) = x² + 4x has a: A. minimum.

The minimum value occur at x = -2.

The function's minimum value is -4.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

For the given quadratic function g(x) = x² + 4x, we have:

a = 1, b = 4, and c = 0

Axis of symmetry, Xmax = -b/2a

Axis of symmetry, Xmax = -(4)/2(1)

Axis of symmetry, Xmax = -2

Next, we would determine vertex as follows;

g(x) = x² + 4x

g(-2) = -(-2)² + 4(-2)

g(-2) = -4.

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The statement second a higher percentage of 7th graders than 8th graders prefer English and statement third a higher percentage of 8th graders than 7th graders prefer Math/Science are correct.

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.

We can find conditional relative frequency as:

For first cell:

= 38/116

= 0.327

= 32.75% (refer attached picture)

Similarly, we can find for other cells.

A higher percentage of 7th graders than 8th graders prefer English and History, while a higher percentage of 8th graders than 7th graders prefer Math/Science.

Thus, the statement second a higher percentage of 7th graders than 8th graders prefer English and statement third a higher percentage of 8th graders than 7th graders prefer Math/Science are correct.

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Answer:

Step-by-step explanation:

This is a test of 2 population proportions. Let 1 and 2 be the subscript for the occupants not wearing seat belts and occupants wearing seat belts. The population proportion of occupants not wearing seat belts and occupants wearing seat belts would be p1 and p2 respectively.

P1 - P2 = difference in the proportion of occupants not wearing seat belts and occupants wearing seat belts.

The null hypothesis is

H0 : p1 = p2

p1 - p2 = 0

The alternative hypothesis is

Ha : p1 > p2

p1 - p2 > 0

it is a right tailed test

Sample proportion = x/n

Where

x represents number of success

n represents number of samples.

For occupants not wearing seat belts,

x1 = 31

n1 = 2823

P1 = 31/2823 = 0.011

For occupants wearing seat belts,

x2 = 16

n2 = 7765

P2 = 16/7765 = 0.0021

The pooled proportion, pc is

pc = (x1 + x2)/(n1 + n2)

pc = (31 + 16)/(2823 + 7765) = 0.0044

1 - pc = 1 - 0.0044 = 0.9956

z = (P1 - P2)/√pc(1 - pc)(1/n1 + 1/n2)

z = (0.011 - 0.0021)/√(0.0044)(0.9956)(1/2823 + 1/7765) = - 0.0089/0.00145462023

z = 6.81

From the normal distribution table,

p < 0.00001

0.00001 < 0.05, we would reject the null hypothesis.

Therefore,

b. Since p <α, we conclude that this data shows that seat belts are effective in reducing fatalities

The nominal return on an investment doesn’t consider the effect of inflation on purchasing power. If the inflation rate is positive, the real return will be less than the nominal return on an investment.

What is inflation?

In simple words continuing to rise in general price is regarded as inflation. There is a different kind of inflation, for example; The increase in price due to an increase in the aggregate of goods and services compared to aggregate supply is called demand-pull inflation.

If the inflation rate is positive, the actual return will be less than the nominal return on investment.

Therefore, In order to complete the statement, The nominal return on an investment doesn’t consider the effect of inflation on purchasing power. If the inflation rate is positive, the real return will be less than the nominal return on an investment.

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Answer:

The REAL RETURN on an investment considers the effect of inflation on purchasing power. If the inflation rate is positive, the nominal return will be

GREATER THAN the real return on an investment.

Step-by-step explanation:

Answer: y=-5/2x+13

Step-by-step explanation:

Since we are given the slope, we can plug it into our equation and use the point given to find the y-intercept.

y=mx+b

y=-5/2x+b

-2=-5/2(6)+b

-2=-15+b

b=13

Now that we know the y-intercept, we can complete the equation.

y=-5/2x+13

Answer: 20.71

Step-by-step explanation:

Answer:

a) 1/2, b) = - sqrt(3) / 2

Step-by-step explanation:

a) Let A = 120 degree, B = 180 degree

Using cosine sum is cos(120+180) = cos(120)*cos(180) - sin(120)* sin(180)

which will give you 1/2

b) Let A = 360, B = 60 degree

Using sine difference: sin(360-60) = sin(360) cos(60) - cos(360) sin (60)

gives you -sqrt(3)/2

Cos (300°) using the cosine sum identity is 1/2.

sin (300°) using the sine difference identity is √3/2.

Trigonometric ratios are the ratios which is described for two sides of a right angled triangle.

The main three trigonometric ratios are sine, cosine and tangent functions.

Part A :

The cosine sum identity is,

cos (A + B) = cos (A) cos (B) - sin (A) sin (B)

We can write cos (300°) as,

cos (300°) = cos (180° + 120°)

                  = cos (180°) cos (120°) - sin (180°) sin (120°)

sin (180°) = 0 and cos (180°) = -1

So,  cos (300°) = -cos (120°) = -(-1/2) = 1/2

Part B :

Sine difference identity is,

Sin (A - B) = sin (A) cos (B) - cos(A) sin (B)

We can write sin (300°) as,

sin (300°) = sin (360° - 60°)

                = sin (360°) cos(60°) - cos(360°) sin (60°)

                = - sin (60°)

                = -√3 / 2

Hence the value of Cos (300°) using the cosine sum identity is 1/2 and the sin (300°) using the sine difference identity is √3/2.

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Using the area of a circle, it is found that the area of the grass that will be watered is given by:

B. 800/9 pi ft^2

The area of a circle of radius r is given by:

\(A = \pi r^2\).

In this problem, a rotating sprinkler head sprays water as far as 20 feet, hence the radius is of r = 20 ft.

It covers a central angle of 80º, while an entire circle has 360º, hence the area of grass that will be watered corresponds to 80/360 = 2/9 of the area of the circle.

Hence the watered area in ft² is given by:

\(A = \frac{2}{9}\pi (20)^2 = \frac{800\pi}{9}\)

Which means that option B is correct.

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Answer:

B. 800/9 pi ft^2

Step-by-step explanation:

Answer:

48 reindeer

Step-by-step explanation:

the 5 part of the ratio relates to 60 moose , then

60 ÷ 5 = 12 ← value of 1 part of the ratio

then

4 × 12 = 48 ← number of reindeer

Answer:

RADIUS

==================================

PROBLEM

Mary’s bicycle wheel has a circumference of 226.08 cm². What is its radius?

SOLUTION

We can solve this problem using the circumference formula in which π stands for ( 3.14 ), C stands for circumference itself and r stands for radius.

\bold{Formula \: || \: C = 2πr}Formula∣∣C=2πr

\tt{226.08 = 2(3.14) r}226.08=2(3.14)r

'Now to find the radius,Substitute 226.08 for c which is circumference in the formula.

\begin{gathered} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{C = 2πr} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{226.08 = 2(3.14)\red{r}} \\ \\ \: \: \: \: \: \: \: \: \large \tt{ \frac{226.08}{6.28} = \cancel\frac{6.28 \red{r}}{6.28} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\tt\green{C = 36}}\end{gathered}

C=2πr

226.08=2(3.14)r

6.28

226.08

=

6.28

6.28r

C=36

To check:

\begin{gathered} \small\begin{array}{|c|}\hline \bold{circumference }\\ \\ \tt{C = 2πr} \\ \tt{C = 2(3.14) (36\:cm) } \\ \tt{C = 2(113.04\:cm) } \\ \underline{\tt \green{C = 226.08\:cm }} \\ \hline \end{array} \end{gathered}

circumference

C=2πr

C=2(3.14)(36cm)

C=2(113.04cm)

C=226.08cm

FINAL ANSWER

If Mary's Bicycle has a circumference of 226.08 cm then the radius is 36.

\boxed{ \tt \red{r = 36}}

r=36

==================================

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Answer:

1 = 0.56
2 = ‭0.43‬
3 = ‭0.55‬
4 = ‭0.49‬

5 = 0.70

Step-by-step explanation:

I not sure

Answer:

Expanded Notation Form:

6.34

=

6

+

0.3

+

0.04

Expanded Factors Form:

6.34

=

6 ×

1

+

3 ×

0.1

+

4 ×

0.01

Expanded Exponential Form:

6.34 =

6 × 100

+

3 × 10-1

+

4 × 10-2

The total number of pennies you have at the end are 2^26 pennies

Imagine, at the first day  have only one penny. Then tomorrow  have 2 pennies, next day have 4 (2x2), next day have 8 (4x2), next day have 16 (8x2) and so forth.

Geometric Sequence

A geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio

It looks like geometric sequence  (the ratio between the number of pennies that  from the 2nd day and the 1st day is 2)

So, by using geometric sequence theorem  can total those pennies until day 27

S (total pennies at day-27) = (1)(2^27-1) / 2-1 = 2^26 pennies

So, have 2^26 pennies.. a big number of pennies=))

The formula is: S = a( r^n-1) / r-1

a= the number of pennies that have got at the 1st day

n= number of days  spent to collect those pennies)

r= the ratio of the number of pennies

2^26 pennies

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Answer: 2x2 + 1000 x 1000 = 1000004

Step-by-step explanation: you add on 5 0's to the one and 2x2 = 4 so add on the 4 also

Answer:

1000004

Step-by-step explanation:

First we do can separate it into the parentheses: (2*2) + (1000*1000)

= 4 + 1000000

= 1000004

The value of the required missing angle is;

m<JKM = 35°

We know from geometry that the sum of angles in a triangle sums up to 180 degrees.

Now, we are trying told that in the given Triangle that the angle m<J = 55 degrees.

We also see that the angle <KMJ is equal to 90 degrees becasue it is a right angle.

Thus to find the angle m<JKM, we can write the name expression as;

m<JKM = 180 - (90 + 55)

m<JKM = 35°

Thus that's the value of the required missing angle.

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Answer:

19

Step-by-step explanation:

y = 2(5) + 9

Answer:

Show the figure

Step-by-step explanation:

Answer:

The range is 16 years old

41 -25=16

Answer:

There is a correlation between age and 3-point percentage.

Step-by-step explanation:

I got it right on imagine math.

Answer:

Step-by-step explanation:

To answer these questions, we need to use the standard normal distribution, which is a normal distribution with a mean of 0 and a standard deviation of 1. We can convert the original distribution to the standard normal distribution using the formula:

z = (x - μ) / σ

where z is the standard normal score, x is the original value, μ is the mean, and σ is the standard deviation.

To find the probability that a given 1-ml sample will contain at most 100 bacteria, we need to find the area under the normal curve to the left of 100. We can calculate the z-score for 100 as:

z = (100 - 85) / 9 = 1.67

Using a standard normal table or a calculator, we can find that the area to the left of 1.67 is 0.9525. Therefore, the probability of a 1-ml sample containing at most 100 bacteria is 0.9525.

To find the probability that a given 1-ml sample will contain at least 75 bacteria, we need to find the area under the normal curve to the right of 75. We can calculate the z-score for 75 as:

z = (75 - 85) / 9 = -1.11

Using a standard normal table or a calculator, we can find that the area to the right of -1.11 (which is the same as the area to the left of 1.11) is 0.8665. Therefore, the probability of a 1-ml sample containing at least 75 bacteria is 0.8665.

To find the probability that a given 1-ml sample will contain between 90 and 95 bacteria, we need to find the area under the normal curve between the z-scores for 90 and 95. We can calculate the z-scores as:

z1 = (90 - 85) / 9 = 0.56

z2 = (95 - 85) / 9 = 1.11

Using a standard normal table or a calculator, we can find that the area to the left of 0.56 is 0.7123 and the area to the left of 1.11 is 0.8665. Therefore, the area between 0.56 and 1.11 is:

0.8665 - 0.7123 = 0.1542

Therefore, the probability of a 1-ml sample containing between 90 and 95 bacteria is 0.1542.

To find the probability of a 1-ml sample containing below 70 or above 100 bacteria, we need to find the area under the normal curve to the left of 70 and the area to the right of 100, and add them together. We can calculate the z-scores for 70 and 100 as:

z1 = (70 - 85) / 9 = -1.67

z2 = (100 - 85) / 9 = 1.67

Using a standard normal table or a calculator, we can find that the area to the left of -1.67 is 0.0475 and the area to the right of 1.67 is 0.0475. Therefore, the probability of a 1-ml sample containing below 70 or above 100 bacteria is:

0.0475 + 0.0475 = 0.095

Therefore, the probability of a 1-ml sample containing below 70 or above 100 bacteria is 0.095.