If x = 7 units, y = 2 units, and h = 9 units, find the area of the trapezoid shown above using decomposition.
A.
81 square units
B.
99 square units
C.
63 square units
D.
72 square units

Answer:

2(x - 4)(x + 4) = 0

x = {-4, 4}

Step-by-step explanation:

2x² - 32 = 0

factor out 2

2(x² - 16) = 0

This is a difference of squares

Factor

2(x - 4)(x + 4) = 0

x = {-4, 4}

Answer:

Step-by-step explanation:

Hope it helps you!!

Answer:

22.5

Step-by-step explanation:

13 square root 3 equals that

Answer:

4p^3-3 jejeieooejejenjekeoeoeo

Answer: B. 10

-5C3 or 5 choose 3 refers to how many combinations are possible from 5 items, taken 3 at a time. To calculate combinations, we will use the formula nCr = n! / r! ... * (n - r)!, where n represents the total number of items, and r represents the number of items being chosen at a time.

-10 is the total number of all possible combinations for choosing 3 elements at a time from 5 distinct elements without considering the order of elements in statistics & probability surveys or experiments. The number of combinations for sample space 5 CHOOSE 3 can also be written as 5C3 in the format of nCr or nCk.

Step-by-step explanation: Hope this help :D

Answer:

13

Step-by-step explanation:

9514 1404 393

Answer:

  B, C, D

Step-by-step explanation:

In this diagram, all of the acute angles are congruent. Those are angles 2, 4, 6, and 75°. Similarly, all of the obtuse angles are congruent. They are supplementary to the acute angles, so we have angles 1, 3, (x-15)°, and 5 all have measure 180° -75° = 105°.

This means x = 105° +15° = 120°.

The true statements are ...

  B. angle 2 = angle 6

  C. x = 120°

  D. angle 1 and angle 6 are supplementary

Answer:

A

Step-by-step explanation:

Edge

The option A, O minimum value = 1; maximum value = 6 is correct.

We have given that,

Using the extreme value theorem, what are the minimum and maximum values of f(x).

Extreme Value Theorem An important application of critical points is in determining possible maximum and minimum values of a function on certain intervals.

Therefore, The option A, O minimum value = 1; maximum value = 6 is correct.

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Answer:

Exponents are important in math because they allow us to abbreviate something that would otherwise be really tedious to write. If we want to express in mathematics the product of x multiplied by itself 7 times, without exponents we'd only be able to write that as xxxxxxx, x multiplied by itself 7 times in a row.

Step-by-step explanation:

Answer:

B. solid B

Step-by-step explanation:

solid a surface area: 150

solid b surface area: 184

Answer:

mmmmm

Step-by-step explanation:

Answer:

6000 milligrams

Step-by-step explanation:

trust

Answer:

option A

A(-2,-3)

Step-by-step explanation:

make y subject of formula

x+2y=-8

2y=-8-x

y=(-8-x)/2

y=-4-x/2

when x=-2

y=-4-(-2)/2

=-4-(-1)

=-4+1

=-3

(-2,-3) is an ordered pair

Answer:

Step-by-step explanation:

area=16×8+1/2×3×6

=128+9

=137 sq. ft.

Answer:

C

Step-by-step explanation:

The scale on both the x and y axes has 1 unit divide into 4 parts.

Then 1 part is one quarter of 1 , that is 0.25 and 2 parts = 0.5

The point with coordinates (0.25, - 0.5 ) is point C

Answer:

The father is 42 years old and the son is 12 years old.

Step-by-step explanation:

Since three years ago the sum of the ages of father and his son was 48 years, and three years hence father's age will be three times that of his are his, to find the present ages of the father and his are his, the following calculations must be performed:

F + S = 48

F + 6 + S + 6 = 3S

34 + 14 = 48 /// 34 + 6 = 40 --- 14 + 6 = 20 (x 3 = 60)

38 + 10 = 48 /// 38 + 6 = 44 --- 10 + 6 = 16 (x 3 = 48)

40 + 8 = 48 /// 40 + 6 = 46 --- 8 + 6 = 14 (x 3 = 42)

39 + 9 = 48 /// 39 + 6 = 45 --- 9 + 6 = 15 (x 3 = 45)

39 + 3 = 42

9 + 3 = 12

Therefore, the father is 42 years old and the son is 12 years old.

Answer:

A 95% confidence interval for a population mean is computed from a sample of size 400. Another 95% confidence interval will be computed from a sample of size 100 drawn from the same population. Choose the best answer to fill in the blank: The interval from the sample of size 400 will be approximately _______as the interval from the sample of size 100.

Answer:

um what

Step-by-step explanation:

Answer:

29 beads

Step-by-step explanation:

Red beads: 10

Green beads: 10 - 5 = 5

Yellow beads: 10 + 4 = 14

Add, 10 + 5 + 14 = 29

Albert has 29 total beads

Have a wonderful day! :)

Answer:

okay

Step-by-step explanation:

Answer:

[tex](a)\ Mean = 80kg[/tex]

[tex](b)\ Median = 76kg[/tex]

[tex](c)\ Mode = 61kg[/tex]

Step-by-step explanation:

Given

[tex]Data:105kg, 53kg ,76kg ,91kg ,120kg ,61kg ,55kg ,98kg ,61kg[/tex]

[tex]n = 9[/tex]

Solving (a): The mean

This is calculated using:

[tex]\bar x = \frac{\sum x}{n}[/tex]

[tex]\bar x = \frac{105kg+53kg +76kg +91kg +120kg +61kg +55kg +98kg +61kg}{9}[/tex]

[tex]\bar x = \frac{720kg}{9}[/tex]

[tex]\bar x = 80kg[/tex]

Hence:

[tex]Mean = 80kg[/tex]

Solving (b): The median

[tex]Data:105kg, 53kg ,76kg ,91kg ,120kg ,61kg ,55kg ,98kg ,61kg[/tex]

Arrange in ascending order

[tex]Data: 53kg ,55kg, 61kg ,61kg,76kg ,91kg ,98kg , 105kg,120kg[/tex]

[tex]n = 9[/tex]

So, the position of the median element is:

[tex]Median = \frac{n+1}{2}th[/tex]

[tex]Median = \frac{9+1}{2}th[/tex]

[tex]Median = \frac{10}{2}th[/tex]

[tex]Median = 5th[/tex]

The 5th element is 76kg

Hence:

[tex]Median = 76kg[/tex]

Solving (c): The mode

In the given data

[tex]Mode = 61kg[/tex]

Because it has a frequency of 2 (the highest), others have 1

Answer:

Option 3

Step-by-step explanation:

Given data set is,

{(1.5, 1), (2.5, 3), (3, 3), (3, 5), (3.5, 5), (4.5, 7), (5, 7), (5, 9), (5.5, 9), (6.5, 11), (7.5, 13)}

By using linear regression calculator,

Equation of the linear function will be,

y = 2x - 2

Therefore, Option 3 will be the correct option.

Answer:

-20/3 = -6.666

51/4 = 12.some

Odd integers between -6.66 to 12..

= -5,-3,-1,1,3,5,7,9,11

:)

The odd integers in between−20/3 and 51/4 are -5,-3,-1,1,3,5,7,9,11 so it is nine.

An integer is a whole number irrespective of the sign that the integer is all whole numbers that are going from 0 to infinite or 0 to minus infinite.

Integer ; ....-2 , -1 , 0 , 1 , 2 , .....

Integers are non-decimal numbers and all integers are rational numbers.

Given the two numbers,

−20/3 = -6.67

51/4 = 12.75

So integers in between −20/3 and 51/4 are ;

-5,-4,-3,-2,-1,1,2,3,4,5,6,7,8,9,10,11,12

Now odd integers out of them are;

-5,-3,-1,1,3,5,7,9,11

Hence "The odd integers in between−20/3 and 51/4 are -5,-3,-1,1,3,5,7,9,11 so it is nine".

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Answer:

141.37 m^2

Step-by-step explanation:

V = (pi)r^2h

V = (3.14)(3 m)^2(5 m)

V = 141.37 m^2

Answer:

Pay your loan payments on time, every time.

Step-by-step explanation:

The other answers either hurt or have no effect on your credit score.

The option 2 and 3 is right get a good credit score. Avoid the options 1 and 4.

To get a good credit score, you should follow these steps:

Pay your loan payments on time, every time: Timely payments are one of the most crucial factors in building a good credit score. Consistently paying your bills and loans on or before the due date shows lenders that you are a responsible borrower.

Don't apply for credit excessively: Each time you apply for new credit, a hard inquiry is made on your credit report, which can temporarily lower your score. Applying for multiple credit accounts in a short period may signal financial instability to lenders.

Avoid options 1 and 4:

Paying credit card and loan payments late: Late payments negatively impact your credit score and show a lack of responsibility in managing credit.

Going above your credit limit: Maxing out your credit cards or going above the credit limit can harm your credit score as it indicates a higher risk of defaulting on your debts.

Hence, the option 2 and 3 is right get a good credit score. Avoid the options 1 and 4.

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Answer:

The p-value of the test is 0.0062 < 0.05, which means that this is sufficient evidence that students are using more than just reading comprehension to answer this question

Step-by-step explanation:

The investigators reasoned that if questions were measuring knowledge or memory rather than just RC, students would answer questions at a higher rate than chance (20%, since there were 5 choices for each question).

This means that at the null hypothesis, we test that the proportion is the probability of answering correctly by change, that is 20%. So

[tex]H_0: p = 0.2[/tex]

At the alternate hypothesis, we test that the proportion is above 20%, that is:

[tex]H_a: p > 0.2[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.2 is tested at the null hypothesis:

This means that [tex]\mu = 0.2, \sigma = \sqrt{0.2*0.8} = 0.4[/tex]

Suppose that on one question, 30 out of 100 examinees answered the question correctly.

This means that [tex]n = 100, X = \frac{30}{100} = 0.3[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.3 - 0.2}{\frac{0.4}{\sqrt{100}}}[/tex]

[tex]z = 2.5[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion above 0.3, which is 1 subtracted by the p-value of z = 2.5.

Looking at the z-table, z = 2.5 has a p-value of 0.9938

1 - 0.9938 = 0.0062

The p-value of the test is 0.0062 < 0.05, which means that this is sufficient evidence that students are using more than just reading comprehension to answer this question

Answer:

Graph A. not a function

Graph B. is a function

Mapping A. is a function

Mapping B. not a function

Table A. not a function

Table B. is a function

Answer:

a graph. not a function

b graph.function

a table. not a function

b table. function

maaping a. function

mapping b. not a function

Step-by-step explanatio n:

mark me brainelst plz

Answer:

C(0,6)

Step-by-step explanation:

1) find the length of the base of the triangle

AB = 7-3 = 4

2) find the the height of the triangle

A = (base x height)/2

A x 2 = base x height

height = (A x 2)/base

height = (12 x 2)/4 = 6

3) find the equation of the line that passes threw the points AB

the two points have the same y so the equation of the line is

y = 0

4) use the formula of the distance between a point and a line to find C

|ax+by+c|/√a^2 + b^2 = distance

x = 0  

y = 6

C (0,6)