find the measure of the indicated angle, GIVE STEPS PLEASE!!

The fifth number is 120

the fifth number can be calculates as follows

mean = [tex]\frac{sum of each value in the population}{number of values in the population}[/tex]

so the sum of the number is mean x number of values

sum of the 4 number = 70 x 4 = 280, while,

sum of the 5 number = 80 x 5 = 400

so the fifth number = 400 - 280 = 120

so, the fifth number is 120

Learn more about mean at

https://brainly.com/question/21800892

#SPJ1

Rajiv chose to make a cardboard box of length 7 cm from the given cardboard available.

It is given that the amount of cardboard available is 245 cm.  Therefore, the box's surface area will be less than or equal to 245 cm².

We are given that the box does not have any lid. Hence, the box is made up of 5 squares.

Let the length of one side of the box be x cm.

We know, that the surface of the area of a regular cube is

6a².

That means,

no. of squares X square of the length.

Hence, the surface area of the box is 5x².

Therefore from the given problem, we get that

5x² ≤ 245

or, x² ≤ 245/5

or, x² ≤ 49

49 is a perfect square of 7. Hence assuming Rajiv makes the largest possible box,

the length of the side he chose is 7 cm.

To learn more about surface area visit

https://brainly.com/question/15476432

#SPJ4

Answer: -8

Step-by-step explanation:

The line has a slope of 1/8, so the x increases by 8 for every 1 the y increases, and vice versa for a decrease.

The difference between the x coordinates 8 and -8 is 16. We then need to divide this by 8, because the x increases by 8 for every 1 the y increases, and we need to find the increase/decrease in y.

16/8 = 2

We need to subtract 2 from -6, giving us our answer, -8.

Y in the expression represents the range of the function. Option A is correct.

Given that,
In the expression y = 12- 4x, what y = 3 represents in the function, is to be determined.

Range, it is the set of values that come out to an outcome for a certain mathematical operation.

here,
y = 12 - 4x
where, 12 = intercept , -4 = rate,
when y = 3 implies that, at the value of x, the outcome of the equation is 3 or it is said to be range.

Thus, Y in the expression represents the range of the function. Option A is correct.

Learn more about the range here:

https://brainly.com/question/12239390

#SPJ1

Answer:

The answer is -256

Step-by-step explanation:

-4+-4=-8

-8+-8=-16

-16+-16=-32

-32+-32=-64

-64+-64=-128

-128+-128=-256

Hope this helps :)

When  you transform row score into a set of z- score, you are able to compare the score of both distribution. When you compare the scores you can allow one to have a mean of 0 and standard deviation 01. A z- score let us see how many standard deviation away from the mean an element lies.

Z- score: It is a numerical measurement that describes a value's relationship to the mean of a group of values and is measured in terms of standard deviation from mean.

Raw score: A raw score is unaltered measured. For example:- if there is a test in a class and someone for 75 out of 100, 75 would be there raw score.

Transform a set a raw scores into  a set of z score:

Lets understand the importance of transforming  raw scores into  a set of z score with the help of an example.

For admission in PG program students need to appear  in the entrance exam which held in two batches. John appeared in both the exams and he scored 160 out of 200 in paper A and 145 out of 185 on paper B.

Solution: we needs to find the z score corresponding to each paper in order to compare them.

paper A: Score obtained : 160

              Average score: 155

              Standard Deviation: 10

Paper B: Score obtained: 145

               Average obtained: 135

                Standard deviation: 08

Using the Z- score formula:

             Z = (x - μ) /α

Using the above Z score formula to calculate z score for given raw score values:

z score for Paper A =  ( 160-155)÷ 10    

Z score for paper B = ( 145 - 135 ) ÷ 1.25

While Evaluating based on z score, we can say that John performed relatively better in paper B as compared to paper A.

Learn more about Raw Score:

https://brainly.com/question/29022735

#SPJ4

The base of the Eiffel Tower in Frank's model is 4 inches.

A ratio indicates the number of times one number contains another.

Given, the height of the Eiffel Tower is 984 feet and the width at its base is 328 feet.

The ratio of height to base of the Eiffel Tower is given by:

984/328

=3

Therefore, the ratio of height to base for Frank's model should also be 3, Which is given by:

12/(base)=3

12/3=base

4 = base

Hence, the base of the Eiffel Tower in Frank's model is 4 inches.

To learn more about ratios, click here:

https://brainly.com/question/13419413

#SPJ1

If Netflix would like to estimate the proportion of their current subscribers who would pay extra for a premium membership including access to more movies and tv shows. The number of  subscribers they must  sample to obtain this interval is: b) 385.

Using this formula to find the number of  subscribers  they must sample to obtain this interval

n≥ (zσ/2 ÷ 2ME)²

Where:

n= Sample =?

zσ = Z-score for 95% confidence interval = 1.96

ME = margin of error = 0.05

Let plug in the formula

n≥ [1.96 / 2(0.05)]²

n≥ [1.96 / 0.1]²

= (19.6)²

= 384.16

=385 (Rounded)

Therefore the correct option is B.

Learn more about sample here:https://brainly.com/question/24466382

#SPJ1

The complete question is:

Netflix would like to estimate the proportion of their current subscribers who would pay

extra for a premium membership including access to more movies and TV shows. To do

this, they plan to calculate a 95% confidence interval to estimate the proportion. They

would like a margin of error of .05. How many subscribers must they sample to obtain this

interval?

a) 1537

b) 385

c) 192

d) 10

Answer:

Two points A(x,y) B(x₂,y₂) or One point A(x,y) and gradient(slope).

Step-by-step explanation:

Answer:

  b. Square -2

Step-by-step explanation:

You want to know the first step in evaluating 1/2 |2x² - 3| for x = -2.

The Order of Operations tells you the first step is to evaluate expressions inside the innermost grouping symbols. Here, that means you want to evaluate the expression 2x² - 3.

Once you have identified that expression, you start by evaluating terms with exponents. That term here is x². When x=-2, the first step is to square -2.

__

Additional comment

After you get x² = 4, then you evaluate the product 2(4) = 8, and then the difference 8 -3 = 5. Then the absolute value is determined |5| = 5, and finally the product with 1/2: (1/2)(5) = 5/2.

The correct option is option b. It can be obtained by following the order of operation BODMAS.

What is the order of operation?
To solve any mathematical expression, the BODMAS rule is used. The full form of BODMAS is Bracket Order DIvision Multiplication Addition Subtraction. It can be simplified as, to solve the Mathematica expression first open all brackets, then powers, then division, then multiplication, then addition, and finally subtraction.

Now, consider the following expression:

1/2 |2x² - 3|

Now, substitute -2 for x in the above expression.

1/2 |2(-2)² - 3|

In the above expression there is no bracket hence the next step is solve power of -2.

Hence, the first step of solving the above expression is square -2.

Hence, the correct option is b. It can be obtained by following the order of operation BODMAS.

Learn more about BODMAS from the following link:

https://brainly.com/question/24383445

#SPJ1

Answer:

One Solution

Step-by-step explanation:

5(3x+2)-2=4(4x-3)

15x + 10 - 2 = 16x - 12

15x + 8 = 16x - 12

15x = 16x - 20

-x = -20

x = 20

The required line is y = 1.5·x + 2 which represents line K.

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

The given coordinate of two points on the line are;

(-2, 5) and (0, 2)

Line K is the line about which line L is reflected.

The coordinates of the point's image (x, y) after a reflection about

the y-axis is the point (-x, y).

Therefore, the coordinates of the points on the line K are;

(-2, 5) → (2, 5)

(0, 2) → (0, 2)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = 2, y₁ = 5

x₂ = 0, y₂ = 2

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 5 = (5 - 2)/(0 -2)[x -2]

⇒ y - 5 = -3/2(x-2)

⇒ y = 1.5·x + 2

Therefore, the required line is y = 1.5·x + 2 which represents line K.

To learn more about the transformations click here :

https://brainly.com/question/28029674

#SPJ1

Answer:

B)  f(5) = 8

Step-by-step explanation:

Remainder Theorem

When a polynomial f(x) is divided by (x − c) the remainder is f(c).

Therefore, if f(x) is divided by (x - 5) the remainder is f(5).

As the remainder is 8, then f(5) = 8.

Answer:

f(5) = 22; f(9) = 34

Step-by-step explanation:

f(5) = 3(5) +7

f(5) = 22

f(9) = 3(9) +7

f(9) = 34

There are ΔABC and ΔXYZ triangles that are congruent due to the SAS congruence postulate.

Two triangles are said to be congruent if their corresponding sides and angles are equal.

As per the given question,

In ΔABC and ΔXYZ,

Side BC = Side YZ

m∠C = m∠Z

Side AC = Side XZ

According to SAS, two triangles are congruent if the two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.

Thus, both triangles are congruent.

Hence, there are ΔABC and ΔXYZ triangles congruent due to the SAS congruence postulate.

Learn more about congruent triangles here:

brainly.com/question/4364353

#SPJ1

No. of concert the stadium host to  earn the revenue of 200000 is 8.

acc to our question-

hence,No. of concert the stadium host to  earn the revenue of 200000 is 8.

learn more about unitary method click here:

brainly.com/question/24587372

#SPJ4

Using linear regression, it is found that:

a) The equation is: y = -0.00408x + 16.

b) The interpretation of each coefficient is:

The linear regression equation is obtained inserting the points given on the table at the end of the answer in a linear regression calculator.

Then the equation will have the following format of a linear function:

y = mx + b.

In which the coefficients are as follows:

The points are given as follows:

(0, 16), (242, 14.8), (519, 14.1), (698, 13.5), (825, 12.7), (1009, 11.6).

Using the calculator, the equation is:

y = -0.00408x + 16.

The problem is given by the image at the end of the answer.

More can be learned about linear regression at https://brainly.com/question/22992800

#SPJ1

The cost of one knife is £ 5.52.

Given, one knife is equal to three times spoon.

Let the cost of knife be x, and cost of spoon be y.

x=3y. ------(1)

9 spoons and 12 knives costs £82. 80, which can be written as

9(spoons)+12(knife)=£82. 80

9y+12x=£82. 80

9y+12(3y)=£82. 80

9y+36y=£82. 80

45y=£82. 80

y=£82. 80/45

y=£ 1.84

The cost of one spoon is £1.84.

We have to find the cost of one knife, we can substitute the value of y in equation 1 to get the cost of one knife.

x=3(1.84)

x=5.52.

Therefore, the cost of one knife is £5.52.

To learn more on cost here:

https://brainly.com/question/28367774#

#SPJ4

Corrected Question

A knife is three times the cost of a spoon.  9 spoon and 12 knives cost £82. 80 work out the cost of one knife.

Answer:

v=53 degrees

Step-by-step explanation:

So since 180 degrees in tri, v-23+2v+v-9=180

Plus 23 and 9: 4v=212

v=53 degrees

The 99 percent confidence interval for the mean score of all subjects lies greater than 63.464 and less than 78.936.

Given:

No. of samples (n)= 16

df = n-1 = 16 -1 = 15

The mean score is 71.2

The standard deviation = 10.5.

So, from the t-distribution of critical values table through the above-mentioned details. We get the values:

Alpha / 2 = 0.005

z = 99/100 + 0.005 = .99 + .005 = .995

Sample mean = xbar = 76.2

t = 2.947

The formula for standard error = E = value of t (at z, and df) / S.D./sqrt(n)

i.e. E = 2.947 x 10.5 / sqrt 16 = 7.736

I = 71.2 +/- E =  71.2 +/-  7.736

99 percent confidence interval - 71.2 +/- 7.736

Adding both sides 7.736 for range. We get,

63.464 < u < 78.936

To learn more about t-distribution visit: https://brainly.com/question/14860724

#SPJ4

Answer:

$8551.56

Step-by-step explanation:

In the equation

[tex]A=P(1+\frac{r}{n})^(nt)[/tex],

P is the principal (in this case, the amount loaned to Erica), r is the interest rate, n is the number of times compounded per year (12 in the problem since there are 12 months in a year), and t is the time in years.

By plugging in our principal, rate (converted to a decimal), compounding periods and time, we have:

[tex]A=5300(1+\frac{0.08}{12})^(12*6)\\ A=5300(\frac{151}{150})^(72)\\ A=8551.561=8551.56[/tex]

The probability of getting 2 white balls is 2/11.

What is probability?

The ratio of good outcomes to all possible outcomes of an event is known as the probability. It has a range from 0 to 1.

Probability(Event) = Favorable Outcomes / Total Outcomes

Main body:

total balls = 5+6 =11

1st try:

P(white balls) = 5/11

2nd try:

as there is no replacement,

no. of white balls = 4

total balls =10

P( white ball) = 4/10

Now multiplying both the result = (5/11)*(4/10)

P( WHITE BALLS) = 2/11

Hence answer is 2/11.

to learn more about probability click on the link below

https://brainly.com/question/24756209

#SPJ4

Table C, which depicts the link between the quantity of books and the overall cost, is therefore the appropriate table.

Given,

7 books cost $89.25 in a bookstore.

Here, we need to locate the table that shows how the quantity of books and the overall cost relate to one another.

We must first determine the price of one book in order to determine the cost of the specified number of books.

To do that, we must divide the sum by the total number of books, from which we may calculate the price of a single book.

That works out to $89.25 for 7 books.

Consequently, the price of one book is,

=> $89.25/7

=> $12.75.

Consequently, based on the provided tables,

Cost of 8 books =  $102 (8 x 12.75).

Cost of 9 books =  $114.75 (9 x 12.75).

Table C, which depicts the link between the quantity of books and the overall cost, is therefore the appropriate table.

Learn more about cost of books here;

https://brainly.com/question/29227481

#SPJ1

Answer:

D

Step-by-step explanation:

D   the premium you pay is your bill for insurance

The.maximum number of gigabytes Meena can use while staying within her budget is 5 gigabytes

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal.

They are denoted by the symbols ≥ < > ≤.

Let the maximum gigabytes be x.

The inequality to illustrate the information will be:

38 + 3x < 55

Collect like terms

3x < 55 - 38

3x < 17

Divide

x < 17/3

x < 5 2/3

The maximum gigabytes is 5.

Learn more about inequalities on;

brainly.com/question/25275758

#SPJ1

From given report, on average college women gain more weight than college men during their first year of college.

In this question, we ahve been given a study is conducted to show that college women, on average, gain more weight than college men during their first year of college.

The study is completed and reports a p-value of 0.001

We need to write the conclusion for above situation.

We can see that the results are statistically significant.

And from given p-value, we can say that on average college women gain more weight than college men during their first year of college.

Therefore, on average college women gain more weight than college men.

Learn more about p-value here:

https://brainly.com/question/14790912

#SPJ4

The first figure is an example of a solid polyhedron,

Name of the bases: PONMQ, KJIHL

Name of the faces: HINM, IJON, JKPO, KPQL, LNMQ.

Name of the edges: HI, IN, MN, MH, LH, LQ, QM, LK, KP, PQ, KJ, JO, OP, JI, IN, ON

Name of the vertices: H, I, J, K, L, M, N, O, P, Q.

what is a solid polyhedron?

If all of the sides of a 3-dimensional solid are flat, it is a polyhedron. Soccer balls, prisms, bricks, houses, and pyramids are all real-world polyhedrons. These shapes all have flat sides. If a shape has any curved sides, it is no longer a polyhedron.

As the definition of the solid polyhedron says that if any shape has any curved sides, then it cannot be a solid polyhedron.

The second figure has curved surface, so it can't be a solid polyhedron.

Hence, the first figure is an example of a solid polyhedron,

Name of the bases: PONMQ, KJIHL

Name of the faces: HINM, IJON, JKPO, KPQL, LNMQ.

Name of the edges: HI, IN, MN, MH, LH, LQ, QM, LK, KP, PQ, KJ, JO, OP, JI, IN, ON

Name of the vertices: H, I, J, K, L, M, N, O, P, Q.

To learn more about solid polyhedrons, visit:

https://brainly.com/question/24324783

#SPJ1

The missing length indicated for 3 and 4 are The value of x is 28, the value of x is 18

What is triangle similarity rule?

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal, and their corresponding angles are congruent. Triangle resemblance is indicated here by the symbol "~"

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.

Similar figures are described as items with the same shape but varying sizes, such as two or more figures. A hula hoop and the wheel of a bicycle are two examples of things whose shapes are similar to one another.

1. As we can see all the sides belongs to the same right-angled triangle

Therefore, ratio of similar sides will be equal

i.e.

[tex]\frac{12}{15} = \frac{x}{35}\\\\x=\frac{12}{15}(35)[/tex]

x=28

2. As we can see all the lines with red arrows are parallel to each other

Therefore, the corresponding angles will be equal

i.e.

[tex]\frac{8}{24}=\frac{x}{54}[/tex]

[tex]x=\frac{8}{24}(54)[/tex]

x = 18

Learn more about triangle similarity rule from the link below

https://brainly.com/question/22472034

#SPJ1

The number of hours Jason needs to work to earn $294.50 is 19 days which was found by using the given data.

Given: Jason's pay is directly proportionate to the number of hours he works at his job. Jason works 12 hours a day and makes $186.

Number of hours he needs to work to earn $294.50 is given as

= (12 × 294.50)/186

= 19

Therefore, the number of hours Jason needs to work to earn $294.50 is 19 days.

Learn more about proportion here:

https://brainly.com/question/19994681

#SPJ13

[tex]\tan \theta=\frac{7}{16} \\ \\ \theta=\arctan(7/16) \approx 24^{\circ}[/tex]