Find the height and area of the polygon. Round your answer to the nearest thousandths (Use exact values until the end).

Answer:

0.336

Step-by-step explanation:

Here the mean is 83 min and the standard deviation is 33 minutes.  Note that

1 standard deviation above the mean comes out to (83 + 33) minutes, or 116 minutes.  So 97 minutes is above the mean and below 1 standard deviation above the mean.

What is the probability that the interval is BELOW 97 minutes?  If we find this, subtracting it from 1.000 results in the desired probability.

Using the Distribution key on my TI 83 Plus calculator, I get:

normalcdf(-100,97, 83,33) = 0.664.  

Subtracting this from 1.000 results in 0.336.

Tthe probability that a randomly selected time interval between eruptions is longer than 97 minutes is thus 0.336.

Answer:

6  cm.

Explanation:  6

cm.

Explanation:

Since they've given use the area of the triangle, we can use the area formula to find the base of the triangle.

The formula to find the area of a triangle is:

a = 1 2 h b

→ ( h = height ,  b= base )

We know:

a = 24 h = 8

So we can substitute them in and find  

Multiply by sides by 2 and then divide:

The base of the triangle is  

6 cm. -step explanation:

Answer:

62

Step-by-step explanation:

15+15+10+10+6+6= 62

Answer:

7) x=15.2643

8)  x=21.33

Step-by-step explanation:

7) 8²+13²=c²

64+169=c²

233=c²

c²=√233

c=15.2643

8) 11²+x²=24²

121+x²=576

x²=576-121

x²=455

x=√455

x=21.33

Answer:

The desired dot product is -1

Step-by-step explanation:

To find the dot product of the given vectors, multiply the magnitudes of the 'i' and 'j' terms together, separately, and then add the results:

dot product of u and v = (-4)(2) + (7)(1) = -8 + 7 = -1

The desired dot product is -1

Answer:

50 seconds.

Step-by-step explanation:

Hope this helps!

Answer:

50 seconds.

Step-by-step explanation:

If it takes 1 meter per second.

50 meter = 1 × 50 seconds

= 50 seconds.

Answer:

3  1/3

Step-by-step explanation:

Answer:

It is 47.5 or 47 1/2

Step-by-step explanation:

The formula for volume of a prism is base x height.

The base is the area of the rectangle at the bottom. The area of a rectangle is, of course, length times width, so 2.5 x 4=10.

So, the base is 10.

Now, the second part of the formula is height.

The height is 4.75.

Now, do the formula: Base x height : 10 x4.75

The answer is 47.5.

Don't report me lol. I promise it is correct.

Answer:

I need 5 Brainliest before I can become Ace

Step-by-step explanation:

Answer:

A+B=180°(linear pair)

a+ 52°=180°

a=180°-52°

a=128° is your answer

Given:

The matrix equation is:

[tex]\begin{bmatrix}-18&3&5\end{bmatrix}-C=\begin{bmatrix}-22&1&12\end{bmatrix}[/tex]

To find:

The value of matrix C.

Solution:

Let [tex]A=\begin{bmatrix}-18&3&5\end{bmatrix},B=\begin{bmatrix}-22&1&12\end{bmatrix}[/tex]. Then the given equation can be rewritten as

[tex]A-C=B[/tex]

[tex]-C=B-A[/tex]

[tex]C=-(B-A)[/tex]

[tex]C=A-B[/tex]

On substituting the values of the matrices, we get

[tex]C=\begin{bmatrix}-18&3&5\end{bmatrix}-\begin{bmatrix}-22&1&12\end{bmatrix}[/tex]

[tex]C=\begin{bmatrix}-18-(-22)&3-1&5-12\end{bmatrix}[/tex]

[tex]C=\begin{bmatrix}-18+22&2&-7\end{bmatrix}[/tex]

[tex]C=\begin{bmatrix}-4&2&-7\end{bmatrix}[/tex]

Therefore, the correct option is C.

Answer: C

Step-by-step explanation: [ 4 2 -7 ]

Answer:D

Step-by-step explanation:

The situations that would result in the smallest standard deviation of p is; The population proportion p ≠ 0.5, and the sample size is n.

The formula for the standard deviation here is;

SD = √(n(p(1 - p))

Now, for the standard deviation to be maximum, it means that p = 0.5 and as such 1 - p will also be 0.5.

However, for Standard deviation to be smallest, then it means that p ≠ 0.5.

Secondly, for the sample size, it will have to remain as n and not 2n because when we say 2n, we are increasing the sample size which will in turn increase the standard deviation.

Read more about standard deviation at;

Answer: 6x-15

Step-by-step explanation: 3 times 2x equals 6x and 3 times -5 equals 15, which makes 6x-15

Answer:

6x-15

Step-by-step explanation:

Distributive property means that you would be distributing.

So, 3 · 2x = 6x

3 · -5 = -15

You cannot simplify any further, so the final answer is 6x - 15.

Let me know if you need further clarification, and if this helped, feel free to award a Brainliest :P

Answer:

$1.50

Step-by-step explanation:

If you do cost per quantity you would get $9 over 6 visits. Then you divide both sides by 6 because to get to one by 6 it's 6 so when you divide both sides by 6 you would get 1.5 over 1 and all you do is add a zero because you're dealing with money

Hope this helps :)

Answer:

H0 : μ = 3.2

H1 : μ > 3.2

1.982

We fail to reject the Null ;

There is no significant evidence to conclude that the mean replacement time under the new contractor takes longer than the usual average time.

Step-by-step explanation:

μ = average time taken by the previous contractor. ; μ = 3.2

H0 : μ = 3.2

H1 : μ > 3.2

Sample size, n = 12 ;

X = 6.2 7.1 5.4 5.5 7.5 2.6 4.3 2.9 3.7 0.7 5.6 1.7

xbar = Σx / n = 53.2 / 12 = 4.43

Standard deviation, s ; using a calculator :

s = 2.15

B.)

The test statistic :

(xbar - μ) ÷ (s / sqrt(n))

(4.43 - 3.2) ÷ (2.15 / sqrt(12))

1.23 ÷ 0.62065

= 1.982

C.)

Decision Region :

If Pvalue < α ; Reject the null

α = 0.05

Pvalue :

P(x < 1.982) = 0.9762

0.9762 > 0.05 ; Hence, we fail to reject the Null

There is no significant evidence to conclude that the mean replacement time under the new contractor takes longer than the usual average time.

Not sure if you accidentally typed 600 instead of 60, but the answer should be 60º

explanation:

angles in a triangle sum to 180º, as shown by the triangle on the right (45+75+60=180)

so the missing angle E would be 60º

Answer:

in 2hrs =  -6°C

in 5hrs = -15°C

in half an hr = -1.5°C

Step-by-step explanation:

in an hr, the temperature falls by 3°C = 0 -3 = -3°C

in 2hrs = 2*-3°C = -6°C

in 5hrs = 5*-3°C = -15°C

in half an hr = 0.5 * -3°C = -1.5°C

Step-by-step explanation:

Answer:

Wouldnt the temperture go up or down.. if its going up when in 2 hours the temperture would be at 6 degree and for 5 hours its would be at  15 degrees.

Step-by-step explanation:

3+2 5+3

Answer:

$18.51

Step-by-step explanation:

23.42×.21= 4.91 then 23.42-4.91= your sale price which is $18.51

Answer:

It is the 3rd one 9/5y+9.

Answer:

2 * 2 * 5 * 5

Step-by-step explanation:

100 = 2 * 50

       = 2 * 2 * 25

       = 2 * 2 * 5 * 5

Answer:

hfcfkyhgctyirkgt,ckcikkccy

Step-by-step explanation:

Answer:

Step-by-step explanation:

12 : 16

Both have 4 in common

3 : 4

72 : 96

Both have 12 in common

6 : 8

Both have 2 in common

3 : 4

So both the ratios are equivalent

Answer:

ANSWER : 4

Step-by-step explanation:

hello :

tanA=7/2    means : A= tan^-1 (7/2) =74°

9514 1404 393

Answer:

Step-by-step explanation:

  40/8+3^2+(15-7)*2 . . . . given

The order of operations tells you to start by evaluating expressions in parentheses. Here, that is the subtraction of 7 from 15.

  40/8 +3^2 +8*2 . . . . (15-7) = 8

Then you evaluate exponential terms.

  40/8 +9 +8*2 . . . . . 3^2 = 9

Then perform multiplication and division, left to right. Here, division is first, then multiplication.

  5 +9 +8*2 . . . . . divide 40/8 = 5

  5 +9 +16 . . . . . . multiply 8*2 = 16

Finally, perform addition and subtraction, left to right.

  14 +16 . . . . add 5+9

  30 . . . . . . . add 14+16

Answer:

it is 8

Step-by-step explanation:

Answer:

12 tapes and 20 CDs were sold.

Step-by-step explanation:

Since a music store had a sale on tapes and CDs, and tapes were on sale for $ 5 each and CDs were on sale for $ 7, and during the sale, 32 tapes and CDs were sold, and the cash receipts from the sale of the tapes and CDs, before taxes, were $ 200, to determine the number of CDs and tapes sold during the sale, the following calculation must be performed:

7 - 5 = 2

32 x 5 = 160

200 - 160 = 40

40/2 = 20

32 - 20 = 12

12 x 5 + 20 x 7 = X

60 + 140 = X

200 = X

Therefore, 12 tapes and 20 CDs were sold.