A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1487 and the standard deviation was 314. The test scores of four students selected at randon
1870, 1250, 2170, and 1390. Find the z-scores that correspond to each value and determine whether any of the values are unusual.

There are  181440 number of different 10 letter words , (real or imaginary) that can be formed from the given letters   .

In the question ,

it is given that ,

the letters are X, W, C, V, R, Z, W, U, M, A ,

since the total number of letters = 10 ,

So , 10 letter can be arranged in 10! ways = 362880 ways

and we can also see that the letter W is repeated 2 times

So it can be arranged in 2! ways = 2 ways .

So , the total number of different 10 letters words that can be formed is calculated by dividing total number of possible arrangements by arrangement of each repeated letter ,

that is ,

= 362880 / 2

= 181440  .

Therefore  , There are 181440 number of different 10 letter words (real or imaginary)that can be formed from the given letters   .

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The simplified expression for the given word problem is 3y + 7/2.

When addition, subtraction, multiplication, division, and other mathematical operations are performed on variables and constants, the result is a mathematical statement known as an algebraic expression.

An algebraic expression is composed of various parts. To better comprehend the idea of Variables, Constants, Terms, and Coefficients of any algebraic equation.

According to the given word problem

5 times y = 5y

5 times y plus the quantity of y and 7 = 5y + y + 7

one-half of 5 times y plus the quantity of y and 7 = 1/2(5y + y + 7)

So, simplify the expression now, we get

1/2( 5y + y + 7) = 1/2(6y +7)

= 1/2 × 6y + 1/2 × 7

= 3y + 7/2

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An equation that can be used to find the amount of time Hiroshi spends on his math homework would be 1/4(30 + 60 + x) = x

In this question, Hiroshi spends 30 minutes on history homework, 60 minutes on English homework, and x minutes on math homework.

So,  his total homework time would be,

(30 + 60 + x)minutes

Also, we have been given One fourth of his total homework time is spent on math.

We need to find an equation that can be used to find the amount of time Hiroshi spends on his math homework.

So, we get an equation,

1/4(30 + 60 + x) = x

Therefore, an equation that can be used to find the amount of time Hiroshi spends on his math homework would be 1/4(30 + 60 + x) = x

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Answer:

c

Step-by-step explanation:

The total number of hours Donna used driving is 3 2/21 hours

A rate is a special ratio in which the two terms are in different units. For example, For 1 hour Donna is using 7/10 gallons of fuel while driving.

The two quantities there are time in hours and the quantity of fuel used in gallons.

If Donna used 7/10 gallon for 1 hour

then 1 gallon will last for 1÷7/10= 1× 10/7= 10/7

Therefore for 2 1/6 gallon = 10/7×2 1/6= 10/7×13/6

= 3 2/21 hours

Therefore the total number of hours used driving with 2 1/6 gallons is 3 2/21

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Answer:

0.1364 miles per minute

Step-by-step explanation:

time = pace × distance

time = pace time per unit distance × distance

distance = time / pace

distance = time / pace time per unit distance

pace = time / distance

pace time per unit distance = time / distance

speed = distance / time

speed distance per unit time = distance / time

For the given number of loaves of white and brown bread , the inequality representation of the problem is given by (x + y ) ≤ 900.

As given in the question,

Types of bread baked in bakery = 2 types

Let x represent the number of loaves of white bread

And y represent the number of loaves of brown bread

Total number of loaves which can be stored in the store room is less than or equal to 900.

For the given situation representation of inequality is given by:

x + y ≤ 900

Therefore, for the given number of loaves of white and brown bread , the inequality representation of the problem is given by (x + y ) ≤ 900.

The complete question is :

Betty's bakery bakes white bread and brown bread. The loaves of bread are then stored in a store room that can house only 900 loaves. The loaves are baked during the day, and in the evening they are delivered to convenience stores. At all times, the number of loaves in the store room must be less than or equal to 900. Part A Assuming x to be the number of loaves of white bread and y to be the number of loaves of brown bread, how would the problem be represented in the form of an inequality?

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The integers that would make the inequality true is the set of integers less than 20.

From the question we are to determine the integer that would make the given inequality true

The given inequality is

x - 4 < 16

To determine the integer that would make the inequality true, we will solve the inequality for the variable x

Solving the inequality

x - 4 < 16

Add 4 to both sides of the inequality

x - 4 + 4 < 16 + 4

x < 20

Hence, the solution to the given inequality is x < 20. All integers less than 20 will make the inequality true.

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Answer: 23/100

Step-by-step explanation: You would automatically just round it to .23. With any fraction you put it over 100. 23/100 then divide by a factor but for this one there is no simplified fraction so 23/100

The required expression for the Sarah's travel is y = 5 + 3h.

Given that,
Which equation models the total distance, D, Sarah travels after hiking additional h hours is to be determined.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

here,
Sarah is hiking on a trail near her home. She traveled 5 miles before stopping for a break. After the break, Sarah plans on increasing her speed to 3miles per hour.
Let the total distance hike by Sarah be y,
According to the question,
y = 5 + 3h

Thus, The required expression for the Sarah's travel is y = 5 + 3h.

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The value of k in 10 × 10 = [tex]10^k[/tex] is k = 2

The equation is give

10 × 10 = [tex]10^k[/tex]

The equation is defined as the mathematical statement that represent the two algebraic expression with an equal sign. The equation will no contain the inequality signs like greater than, less than etc..

The power of a number is the base number is raised to the exponent

Here the equation is

10 × 10 = [tex]10^k[/tex]

10 is the base number and k is the exponent.

We know that,

10 × 10 = [tex]10^2[/tex]

The value of k = 2

Here 2 is the exponent of base number 10

Hence, The value of k in 10 × 10 = [tex]10^k[/tex] is k = 2

The complete question is:

What is the value of k in 10 × 10 = [tex]10^k[/tex] ?

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Answer:

Step-by-step explanation:

y= 1/7 - x/7

Answer:

y = 1/7 - x/7

Step-by-step explanation:

4(7y + x) = 4             Distribute the 4 to 7y and x

28y + 4x = 4            Subtract the 4x on both sides

28y = 4 - 4x            To get 'y' by itself divide 28 on both sides

y = 4/28 - 4x/28      You can simplify the 4/28 since 4 goes into 28 7 times

y = 1/7 - x/7

Considering the area of a square, the measure of how close to the ideal length should each tile be controlled is of:

A. 0.098 cm.

The area of a square of side length s is given by the square of the side length, hence the equation is:

A = s².

For a floor with area of 625 cm², the side length is:

s² = 625

s = square root of 625

s = 25 cm.

Considering the error tolerance, the possible areas are given as follows:

The side length for the smallest area would be of:

s² = 620

s = square root of 620

s = 24.90 cm.

The side length for the largest area would be of:

s² = 630

s = square root of 630

s = 25.098 cm.

The smallest difference, from the side lengths with tolerance to the standard side length, is of:

25.098 - 25 = 0.098 cm.

Meaning that option A is the correct option.

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For 10m long ladder whose foot is leaning against a vertical wall and from the base of the wall it is 6m away then height of the wall at a point ladder reaches is equal to 8m.

As given in the question,

Wall , ladder and base forms a right angled triangle

Length of the ladder leaning against the wall is hypotenuse = 10m

Distance between the ladder and base of the wall is base= 6m

Let us consider 'h' be the height of the wall is altitude.

Wall , ladder and base forms a right angled triangle

Using Pythagoras theorem we have,

(Hypotenuse)² = (Base)² + (altitude)²

⇒10² = 6² + h²

⇒100 =36 +h²

⇒h² =100 -36

⇒h² =64

⇒h = 8m

Therefore, for 10m long ladder whose foot is leaning against a vertical wall and from the base of the wall it is 6m away then height of the wall at a point ladder reaches is equal to 8m.

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Frankenstein, Victor feels, for the first time in a long time, a sense of joy and calm,  An award for creating the monster causes these feelings.

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Frankenstein, Victor feels, for the first time in a long time, a sense of joy and calm,  An award for creating the monster causes these feelings.

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Answer:

A is shown in the attached image.

B. 5/6

C.  P(A or B)

Step-by-step explanation:

B. 1/2 + 2/3 - 1/3 = 5/6 or 3/6 + 4/6 - 2/6 = 5/6

C. P(A or B) = 5/6. P(A) + P(B) - P(A and B) = 5/6. Therefore, P(A) + P(B) - P(A and B) = P(A or B).

Step-by-step explanation:

why ? the same pattern your saw yourself, as the handwritten numbers indicate.

it is 1:118.

event on the left is multiplied by 118 to create the numbers on the right.

We have to label a graph with the following points: (1,3), (4,2), (0,5), and (5,1).

All the points (and only those points) which lie on the graph of the function satisfy its equation. Thus, if a point is on te graph of a function, then it must also satisfy the function.

To plot the graph with the points follow all the steps given below;

Points are (1,3) , (4,2) , (0,5),and (5,1).

Step1 The coordinate of the graph are; (1,3) , (4,2) , (0,5),and (5,1).

Step2 Plot the coordinate 1 on the x-axis and 3 on the y-axis.

Step3 Plot coordinate 4 on the x-axis and 2 on the y-axis.

Step4  Plot the coordinate 0 on the x-axis and 5 on the y-axis.

Step5 Plot the coordinate 5 on the x-axis and 1 on the y-axis.

Step6 Then Draw a line with the help of the scale and meet all the points.

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Regarding the hypothesis tested in this problem, it is found that:

a) The test statistic is: t = 0.49.

b) The p-value is: 0.6297..

c) The null hypothesis is not rejected, as the p-value is greater than the significance level.

d) It appears that the students are legitimately good at estimating one minute, as the sample does not give enough evidence to reject the null hypothesis.

The test statistic of the t-distribution is given by the equation presented as follows:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which the variables of the equation are given as follows:

The value tested at the hypothesis is:

[tex]\mu = 60[/tex]

From the sample, using a calculator, the other parameters are given as follows:

[tex]\overline{x} = 62.47, s = 19.2, n = 15[/tex]

Hence the test statistic is obtained as follows:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{62.47 - 60}{\frac{19.2}{\sqrt{15}}}[/tex]

t = 0.49.

The p-value is obtained using a t-distribution calculator, with a two-tailed test, as we are testing if the mean is different a value, in this case 60, with:

Hence the p-value is of 0.6297.

Since the p-value is greater than the significance level of 0.01, the null hypothesis is not rejected, attesting to the ability of the students to estimate one minute.

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Answer:

whats the problem

Step-by-step explanation:

Answer:

i think it is 18

Step-by-step explanation:

because if he brought 6 for $18 and it was in sale for $3 that means there is no tax

Answer:

a lot less because 0.4 is not fully of 100%

Step-by-step explanation:

Answer:

52 is 0.4% of 130. You would expect the number to be a lot greater than 52

Step-by-step explanation:

If the number we are trying to find is x, we have to use the equation x*0.4=52 which can be rewritten as 52/0.4=x

If you solve that, you get 130.

The number is expected to be a lot greater than 52 because 0.4 is almost 0.5 and that would mean doubling 52 so the number would be almost double 52. That means it would be a lot greater.

The box must be added with 7 cubic feet of sand

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also be defined as the capacity of an object.

It is measured in cubic units.

The volume of a box is length × width × height

represent the original length, width and height by x ,y ,z respectively

This shows that the volume of the original box= x× y× z = 1cubic foot

when the original length, width and height are doubled to give the new dimensions

Therefore the new length,width and height will be 2x, 2y and 2z

the volume of the new formed box = 2x×2y×2z

= 8xyz

XYZ= 1cubic foot

therefore 8xyz = 8cubic feet

since there is 1 cubic foot of sand in the box already,

then( 8-1)cubic feet = 7cubic feet will be added.

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The image point of (-8, 1) after the transformation D₂ о R180° is equal to (16, -1).

Given that,

The point is (-8,1)

We must locate the point's picture. ​

In Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has the coordinates (-x, -y).

We have the following for a 2 scale factor dilation: ​

Point A (-8, 1)  

= (-8 × 2, 1 × 2)  

= Point A'  is (-16, 2)

By applying a rotation of 180° to the given point, the coordinates of its image is given by:

(x, y)→(-x, -y)

Points A' = (-16, 2)

Points A' = (-(-16), -(1)) = (16, -1).

Therefore, The image point of (-8, 1) after the transformation D₂ о R180° is equal to (16, -1).

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Option D. The sample space when one marble is to be chosen is given as S =  {green, blue, yellow, orange, purple, red}

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results. Discrete or finite sample spaces are those that have a finite number of outcomes.

The sample space here have been listed based on the colors of the marbles that was presented in the question that we have here.

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Answer:

OPTION D is not correct I took the test and its B

Step-by-step explanation:

also here is a picture

The term that defines a circle is "all coplanar points equidistant from a given point". Then the correct option is D.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The definition of the circle is written as "A circle is a shape comprising of all places in a plane that are at a given separation from a given point, the middle."

The circle is a two-dimensional shape.

The term that defines a circle is "all coplanar points equidistant from a given point". Then the correct option is D.

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Answer: D) all coplanar points equidistant from a given point

Step-by-step explanation:

Answer: The correct mean weekly grocery expense for Taylor is $62.51

How to find mean of a discrete data?

Suppose the data values be .

Then, their mean is evaluated as:

where n = number of observations.

For the given condition, Taylor recorded the weekly expenses for 12 weeks. Therefore, we get n = 12

Let the real weekly expenses for Taylor be

Let  observation is misinterpreted as T

Then, the mean of that misinterpreted set of data would be

Since we're given that:

Therefore, we get the mean of original weekly expenses as:

Therefore, the correct mean weekly grocery expense for Taylor is $62.51

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Step-by-step explanation:

If she wants to find the rate at which she burned calories on day 8. C'(8) is: B. 8.75 calories per day

First step is to find the upper and lower values for the burned calories on day 8.

Upper value (C'(8) =  405 - 386 /2

Upper value C'(8) = 19/2

Upper value C'(8) = 9.5

Lower value C'(8) = 386 -370/2

Lower value C'(8) = 16/2

Lower value C'(8) = 8

Now let find C'(8)

C'(8) = 9.5+8/2

C'(8) = 17.5/2

C'(8) = 8.75 calories per day

Therefore the correct option is B.

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She made sales of =$61,200.00

acc to our  question-

Step-by-step explanation:

1.5% = 0.015 , 4% = 0.04 , 5% = 0.05

16,000 × 0.015 = $240.00

$25,000 × 0.04 = $1,000.00

$2,250.00 - ($240.00 + $1,000.00) = $1,010.00

$1,010.00 ÷ 0.05 = $20,200.00

$20,200.00 + $25,000.00 + $16,000.00 = $61,200.00

hence,She made sales of =$61,200.00

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