find the area of a trapezoid 9ft 8ft 5ft

Write slope intercept form general for the equation

y = mx + b

in this equation m = Y/X.

Y = y - y'

X = x - x'

then find m

m= (-7 -5)/ (-1 -2) = -12/-3 = 4

then equation becomes

y = 4x + b

b = y - 4x . Replace (x,y) = ( -1,-7)

b= -7 -4•(-1) = -3

Then finally eqaution of that line is

y = 4x -3

x=7x-21

Step-by-step explanation:

Answer:

times

21.12

28

I will pay 11.20 and get back .20 for the half(.5) of a drink box I can't buy

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Write the equation

\(\frac{3x-y}{3(x-y)}\)

Add the variables

\(\frac{3(5)-3}{3(5-3)}\)

Multiply 3 x 5

\(\frac{15-3}{3(5-3)}\)

Subtract the parentheses

\(\frac{15-3}{3(2)}\)

Subtract the numerator

\(\frac{12}{3(2)}\)

Reduce the fraction with 3

\(\frac{12}{3(2)} = \frac{4}{2}\)

Reduce the fraction again with 2

\(\frac{4}{2} = 2\)

And there's your answer of 2!

Answer:

y=3

Step-by-step explanation:

you just need to do 2 divided by 6

Answer:   y = -3/2x + 3

Step-by-step explanation:

3x + 2y = 6        First Isolate y by subtracting 3x from both sides  

-3x          -3x

   2y = -3x + 6       Now divide both sides by 2

  y = -3/2x + 3

Answer: 90 degrees

Step-by-step explanation: A circle is 360 degrees so since that is 1/4 you can divide

360/4 = 90 (: hope this helps

Answer:

90* x 4 = 360*

360* / 4 = 90*

Step-by-step explanation:

A circle has 360* all around.

In the angle that was drawn, it is 90*

The degrees for the space outside of 90* is x

x = ?                360* - 90* = 280*                 x = 280*

hope this helped

To find the value of x, we can set the two angle measures equal to each other and solve for x.

Given:

mZA = (4x - 2)°

mZB = (6x - 20)°

Setting them equal to each other:

4x - 2 = 6x - 20

Now, we can solve for x:

4x - 6x = -20 + 2

-2x = -18

Dividing both sides by -2:

x = -18 / -2

x = 9

Therefore, the value of x is 9.

Answer:

The answer is 9.

Step-by-step explanation:

We need to use the fact that the sum of the angles in a triangle is 180 degrees. Let A, B, and C be the three angles in the triangle. Then we have:

mZA + mZB + mZC = 180°

Substituting the given values, we get:

(4x - 2)° + (6x - 20)° + mZC = 180°

Simplifying the left side, we get:

10x - 22 + mZC = 180°

Next, we use the fact that angles opposite congruent sides of a triangle are congruent. Since we know that segment AC and segment BC are congruent, we have:

mZA = mZB

Substituting the given values and simplifying, we get

4x - 2 = 6x - 20

Solving for x, we get:

x = 9

Therefore, the value of x is 9.

The equation of the line is  \(3x-y+5=0\).

Given,

Point (x,y)=(1,8)

Slope = 3

Equation of line can be determined by slope-intercept form,

Equation is in the form \(y=mx+c\)

Where, m= slope

then,

\(y=3x+c\)

Substituting the point in equation to find 'c',

\(8=3(1)+c\\\\8=3+c\\\\5=c\)

the equation of the line becomes

\(y=3x+5\\\\3x-y+5=0\)

Thus, the equation of the line is \(3x-y+5=0\).

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Answer:

Since the computed value of t= -4.654 does not fall in the critical region we therefore accept the null hypothesis . We conclude that there is sufficient evidence to indicate a difference in the means time served for fraud is less than that for firearms offenses.

Step-by-step explanation:

Fraud                                        Firearm

15.2      9.2                              20.1          15.7

11.2       15.8                             20.4          9.8

7.2         5.2                             13.1           13.5

7.7         4.9                            20.7           23.1

7.4        9.8                            10.4            22.2            

∑ 93.6                                             169                    

Fraud  (X1i)²                                      Firearm(X2j)²

231.04      84.64                           404.01          246.49

125.44      249.64                          416.16          96.04

51.84        27.04                            171.61           182.25

59.29       24.01                            428.49           533.61

54.76        96.04                            108.16           492.84

∑1003.79                                                  3079.66          

We formulate the null and alternative hypothesis as

H0: μ1 - μ2 ≤ 0 i.e. the fraud meantime is less than that for firearms offenses.

Ha: μ1-  μ2  > 0  i.e. the fraud meantime is greater than that for firearms offenses.

We set the significance level at ∝= 0.01

The test statistic, if  H0 is true , is

t=  x1`1- x`2/ Sp√1/n1+ 1/n2

which has a student t- distribution with ν= n1+ n2 -2 = 18 degrees of freedom

The critical region consists of all t- values which are greater than or equal to  t> t(0.01)(18)= 2.522

Computations :

X1`= ∑X1i/n1 = 93.6/10= 9.36

X2`=∑X2j/n2=169/10 = 16.9

∑( X1i- x`1)² = ∑X1i²- (∑X1i)²/n1

= 1003.79 - 876.096/10

= 100.379- 87.6096

=12.7694

∑( X2j- x`2)² = ∑X2j²- (∑X2j)²/n2

= 3079.66 - 28561/10

= 3079.66- 2856.1

=223.56

Sp²= 12.7694+223.56/18= 13.129

Sp = √13.129 =3.623

t= 9.36-16.9/ 3.623√0.1+0.1

t= -7.54/ 1.62

t= -4.654

Conclusion: Since the computed value of t= -4.654 does not fall in the critical region we therefore accept the null hypothesis . We conclude that there is sufficient evidence to indicate a difference in the means time served for fraud is less than that for firearms offenses.

The meantime served for fraud is less than that for firearms offenses.

Step-by-step explanation:

Count numbers

There are six numbers that counted in

Thousands and tens

The number is 357476 which is three hundred and fifty seven thousands, four hundred and 76

To find the answer you cancel 35 and remains with 7 the other numbers 4 and 6 you turns them into zeros and remain with seven

Thousands and tens is the answer of placing a value of two sevens.

Answer:

Step-by-step explanation:

5

1. Number of athletes did not own any of the three items = 259 - 228

= 31.

2. Number of athletes own a convertible and a TV but not a store = 44 - 9

= 35.

3. Number of athletes own a convertible or a TV = 110 + 91 - 44

= 157.

4. Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

5. Number of athletes owned at least one type of item = 259 - 31

= 228

6. Number of athletes own a TV or a store, but not a convertible = 13 + 34 +71

= 118.

The number of athletes did not own any of the three items need to subtract the number of athletes who own at least one item from the total number of athletes surveyed.

Total number of athletes surveyed = 259

Number of athletes own at least one item = 110 + 91 + 120 - 15 - 43 - 44 + 9 = 228

Number of athletes who did not own any of the three items = 259 - 228 = 31.

The number of athletes who owned a convertible and a TV but not a store need to subtract the number of athletes who own all three items from the number of athletes who own a convertible and a TV.

Number of athletes who own a convertible and a TV = 44

Number of athletes who own all three items = 9

Number of athletes who own a convertible and a TV but not a store = 44 - 9 = 35

The number of athletes who owned a convertible, or a TV need to add the number of athletes who own a convertible to the number of athletes who own a TV and then subtract the number of athletes own both a convertible and a TV.

Number of athletes who own a convertible or a TV = 110 + 91 - 44

= 157.

The number of athletes owned exactly one type of item need to add up the number of athletes who own a convertible only the number of athletes own a TV only and the number of athletes who own a store only.

Number of athletes own a convertible only = 110 - 15 - 9 = 86

Number of athletes own a TV only = 91 - 44 - 9 = 38

Number of athletes own a store only = 120 - 15 - 43 - 9 = 53

Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

The number of athletes who owned at least one type of item can use the result from part (1).

Number of athletes who owned at least one type of item = 259 - 31

= 228

The number of athletes who owned a TV or a store but not a convertible need to subtract the number of athletes who own all three items, and the number of athletes own a convertible and a TV from the number of athletes own a TV or a store.

Number of athletes own a TV or a store = 91 + 120 - 43 - 9 = 159

Number of athletes own a TV or a store not a convertible = 13 + 34 +71

= 118.

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Answer:

h=2(R-4)

h=2R-8

h+8=2R

h+8/2=R

so...R=h+8/2

Answer:

h+8/2

Step-by-step explanation:

h=2R-8

h+8=2R

h+8/2=R

R=h+8/2

To determine the key terms refer to in the following conducted study in a local community will be as follows:

a. voted, didn't vote, voted will be variable.

b. a group of voters in the community who voted, randomly selected will be sample.

c. the number of eligible voters who actually plan to vote will be population.

d. the number of eligible voters in the study who actually plan to vote statistic.

e. the attendance of a single voter will be data

f. all eligible voters in the comunity will be parameter.

Any quantity calculated from sample values and taken into consideration for statistical purposes is referred to as a statistic (singular) or sample statistic. A population parameter estimate, a sample description, or a hypothesis evaluation are examples of statistical purposes. Statistics are expressed as the average (or mean) of sample values.

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Answer:

We accept Hₐ   there is enough evidence to claim that the incidence of ASD is bigger in this state than it is nationally

Step-by-step explanation:

The population follows a binomial distribution, and the fact that

p₀ = 1205/32600 = 0,03696       and then q₀  = 1-0,03696 = 0,9630

And both

p₀*n = 0,03696*32600 = 1205 > 10

q₀*n = 31395 > 10

The binomial distribution can be approximate to a Normal Distribution, then we need to develop a one tail test ( to the right) to evaluate if the claim " There is sufficient data to show that the incident rate is higher in the mentioned state than the national one.

Therefore:

Hypothesis Test                    H₀    ⇒    p₀ = p

Alternative Hypothesis        Hₐ   ⇒     p₀ > p

p is the population proportion mean

p = 1/88  =  0,011

We must test having a very wide Confidence Interval since the matter we are trying is public health then we choose CI = 95 %

CI = 95 %     α = 5 %    α = 0,05    

Critical value for 0,05  is from z-table  z(c) = 1,64

We compute z(s)

z(s) =( p₀ - p )/ √ p₀*q₀/n

z(s) = 0,03696 - 0,011 / √ (0,03696*0,9630)/ 32600

z(s) =  0,02596* 180,55/ √ 0,0356

z(s) = 4,687 / 0,189

z(s) = 24,9

Comparing  z(s) and z(c)   24,9 > 1, 64

z(s) is out of the acceptance region and we have to reject H₀

We accept Hₐ   there is enough evidence to claim that the incidence of ASD is bigger in this state than it is nationally

Answer:

Step-by-step explanation:

First Use Negative Power Rule: Which is, \(x^-a=\frac{1}{x^a}\)

Then you simplfiy, and your answer will be \(\frac{1}{y^7}\)

Therefore, your answer is \(\frac{1}{y^7}\)

According to the solving the linear system only have one solution:

(-0.6, 1.6)

Linear systems are equation systems in which variables are never multiplied with one another but only with constants and then summed. Linear systems are employed to describe both stationary and non - stationary inter-variable relationships.

Linear equations are used in real-world situations in which there is an unknown number or identity, such as computing mileage rates or projecting profit. In most real-world scenarios, mental computations are employed instead of sketching a line graph.

Given equation are:

y = (2/3)x + 2

6x - 4y = -10

Substituting equation 1 into 2 we get:

6x - 4[(2/3)x + 2] = -10

6x - (8/3)x - 8 =  -10

(10/3)x = -10 + 8

10x = -6

x = (6/10)

x = -0.6

Substitute x = -0.6 into either Equation 1 or Equation 2 to work out 'y.

y = \(\frac{2}{3}\)(- 0.6) + 2 = 1.6

According to the solving the linear system only have one solution:

(-0.6, 1.6)

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Answer:

38,500 pounds

Step-by-step explanation:

1 ton = 2000 pounds

Answer:

8 hours

Step-by-step explanation:

The equation is 2.25X + 3.50 = 21.50

X represents the unknown amount of hours she worked. 2.25 is the cost per hour. 3.50 is the fee she charges for every gig. That fee only happens once a gig so naturally it wasn't the number x was placed with.

2.25X + 3.50 = 21.50

2.25X + 3.50 - 3.50 = 21.50 - 3.50

2.25X = 18

2.25X = 18

2.25 2.25

X = 8

Answer:

first term is 3.................

Answer:

Hope this helps ;) don't forget to rate this answer !

Step-by-step explanation:

To solve this problem, we need to perform the indicated operations in order. The first step is to simplify the expressions inside the parentheses.

(3x7 + 7x5 - 3x² + 7) + (x7 - 3x5 + 2x³ + 3)

= (21x + 35x - 3x² + 7) + (7x - 15x + 2x³ + 3)

The next step is to combine like terms within each parentheses:

= (21x + 35x - 3x² + 7) + (7x - 15x + 2x³ + 3)

= (56x - 3x² + 7) + (-8x + 2x³ + 3)

Finally, we can add the two expressions:

= (56x - 3x² + 7) + (-8x + 2x³ + 3)

= 56x - 3x² - 8x + 2x³ + 3 + 7

= 56x - 3x² - 8x + 2x³ + 10

The final answer is 56x - 3x² - 8x + 2x³ + 10.

If you have any specific questions or need assistance, feel free to ask, and I'll do my best to provide a helpful response within the scope of my training

As an AI language model my understanding of subjects and skills is based on the information and data available to me up until my last training update in September 2021. I can provide accurate and comprehensive responses within the limits of my training, but please keep in mind that I may not have knowledge of events or developments that have occurred after that cutoff date.

With a wide range of general knowledge, I can understand and generate responses on various topics such as science, history, literature, mathematics, and more. I can also assist with specific skills like writing, editing, brainstorming ideas, offering explanations, and providing recommendations.

However, it's important to note that while I strive to be helpful, I am still an AI and may not always provide perfect answers. I do not possess personal experiences or opinions, and I am not able to perform physical actions. My responses are generated based on patterns and examples from my training data.

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.

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

Answer:

A.

Step-by-step explanation:

Let's think of this as a clock.  We can see that the 2 lines start in the same place, around 3 o'clock.  Next, one of the line segments shifts down to around 6 o'clock.  Next, it shifts to about 9 o'clock.  Logically, the next step (in a clock) would be 12 o'clock, making A the correct choice.

We can also just use a regular circle, with one of the line segments moving 90 degrees each time.

Hope this helps! :)

Answer:

58

Step-by-step explanation:

All three angles of a triangle have to add up to 180. Given this we can do the following problem:

180-34-88 = 58

Answer:

Luke has earned $9 in interest after one year.

Step-by-step explanation:

To calculate how much money Luke has earned in interest after one year, we can use the formula for simple interest:

I = P * r * t

where:

I is the interest earned

P is the principal (the initial amount of money)

r is the interest rate expressed as a decimal

t is the time period in years

In this case, we have:

P = $600 (the initial amount of money)

r = 0.015 (1.5% interest rate expressed as a decimal)

t = 1 (one year)

Plugging these values into the formula, we get:

I = $600 * 0.015 * 1 = $9

Therefore, Luke has earned $9 in interest after one year.

For more help:

Here are the steps to calculate how much money Luke has earned in interest after one year:

Step 1: Identify the given information

Read the problem carefully and identify the relevant information. In this case, we are told that Luke checks his bank account and finds that he has $600 in it. We are also given that he is earning 1.5% interest per year on this account.

Step 2: Identify the formula to use

The formula for simple interest is:

I = P * r * t

where:

I is the interest earned

P is the principal (the initial amount of money)

r is the interest rate expressed as a decimal

t is the time period in years

In this case, we are given the values of P, r, and t, so we can use this formula to calculate the interest earned.

Step 3: Plug in the values

Now we can plug in the values that we identified in Step 1 into the formula from Step 2.

I = P * r * t

I = $600 * 0.015 * 1

Simplifying the right-hand side:

I = $9

Step 4: Interpret the answer

The final answer is $9, which represents the interest earned by Luke on his $600 bank account after one year.

Hope this helps, if not I'm sorry. If you need more help (or have questions) feel free to ask me! :]

Answer:

B. false

because the sum of interior angles of a triangle is 180°

this one is 63+37+59=159

If a sophomore was chosen yesterday, the probability that a sophomore will be chosen again today is 3/10.

Given, number of students name put into the hat = 20

total number of freshmen in the class = 12

total number of sophomore in the class = 6

total number of juniors in the class = 2

we are asked to determine the probability that the sophomore will be selected the second day also = ?

Calculating a situation's probability allows us to determine its likelihood. Absolute certainty in forecasting is challenging in many situations. With its help, we are only able to anticipate the likelihood, or chance, that an event would occur.

from the given data,

n(s) = 20

n(A) = 6 ⇒ as the name selected in the first day is put back in the hat.

⇒ P(A) = n(A)/n(s)

P(A) = 6/20

P(A) = 3/10

hence the probability that the another day again a sophomore will be chosen is 3/10.

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