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Answer:

b = 4

Step-by-step explanation:

9514 1404 393

Answer:

  a ≈ 4.68

Step-by-step explanation:

The law of cosines tells you ...

  a² = b² +c² -2bc·cos(A)

  a = √(b² +c² -2bc·cos(A))

  a = √(5² +8² -2·5·8·cos(33°)) = √(25 +64 -80·0.83867) ≈ √21.906

  a ≈ 4.68

Answer:

a≈4.68

Step-by-step explanation:

have a good one!!!

Answer:

O length = 11 inches width = 12.5 inches

Step-by-step explanation:

Answer:

(-4,8)

(12,0)

(4,4)

Step-by-step explanation:

graph it

Answer:

22.7°

Step-by-step explanation:

22.714° to nearest 10th is 22.7

Answer:

Variance: 322.4479999999996

Standard Deviation: 17.956837137981722

Answer:

9

Step-by-step explanation:

7x-5+2x-1=9x-6

d/dx (9x-6)=9

Answer:

348

.................

Answer: D. The distribution of sample variances tends to be a normal distribution.

Step-by-step explanation:

The properties of the sampling distribution of the​ variance include:

• The expected value of the sample variance is equal to the population variance.

• The mean of the sample variances is the population variance.

• The sample variances target the value of the population variance.

Therefore, the option that isn't a property of the sampling distribution of the variance will be option D "The distribution of sample variances tends to be a normal distribution".

We should note that the sampling distribution came came in place as a result of the central limit theorem. The sample variance gives a true representation of the variance of the population as it is an unbiased estimator.

The one that does not demonstrate a property of variance's sampling distribution would be:

D). The distribution of sample variances tends to be a normal distribution.

The variance's sampling distribution property states that:

As per the question, the fourth statement does not exemplify one of its properties as the distribution displayed by sample variances is inclined towards normal distribution.

Thus, option D is the correct answer.

Learn more about "Variance" here:

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Answer:

[tex]Q' =(-4,-3)[/tex]

Step-by-step explanation:

Given

[tex]Q = (3,-4)[/tex]

Rotation = +270 degrees

Required

Determine the new coordinates of Q (i.e. Q')

When a point (x,y) is rotated +270° about the origin, the new coordinates is: (y,−x)

So:

[tex]Q = (3,-4)[/tex]

Where:

[tex]x = 3[/tex] and [tex]y = -4[/tex]

Q' will be:

[tex]Q' =(-4,-3)[/tex]

Answer:

7x - 8

Step-by-step explanation:

eight less than product of seven and X

seven and x = 7x

eight less than = - 8

put it all together = 7x - 8

Answer:

7x - 8

Step-by-step explanation:

product of seven and X

7 X x = 7x

8 less than it

7X - 8

This is because we're looking for something that is smaller than 7X by 8

Answer:

$1146.01

Step-by-step explanation:

The original amount is 100%. The account earns 3.25% per year, so after 1 year it is worth 100% + 3.25% = 103.25% of the original amount. Since the interest is compounded, after the second year, the account is worth 103.25% of the amount at the end of the first year.

$1,075 * 1.0325 * 1.0325 = $1146.01

Answer: Well if you do 325 ÷ 2/5 = 130. If you try process of elimination with the numbers you’d get the right answer! Like there’s no way you could do 325 - 2/5 cause you’d get 324.6, and adding it you’d get 325.4 so your only thing left to do is multiply :)

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

given:

b=5

c=8

6(b-3)+ c

6(5-3)+8

6(2)+8

12+8

20

other method

6(b-3)+c

6b-18+8

30-18+8

12+8

20

Answer:

20

Step-by-step explanation:

b is 5 and c is 8

so we can substitute them on the given equation

Answer:

Step-by-step explanation:

24/300 = 0.08 = 8%

Answer:

$0.58

Step-by-step explanation:

There are 8 pencils per package. To find the value of each pencil, divide the cost by 8

4.64/8 = $0.58

Answer:

$0.58

Step-by-step explanation:

unit means one, or the rate or price of each pencil. so if the total was 4.64, youd divide 4.64 by 8, which comes out to $0.58 per pencil

8/9 ÷ 4 = 8/36 as simplified as 2/9 in fraction form.

Answer:

8/36

Step-by-step explanation:

I divided  8/9 by 4

The graph has the same y Intercept as the line shown is y = 5x - 5.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We take two points from the graph as (-5, 0) and (0, -5)

So, the slope of line

slope = (-5 - 0)/ (0- (-5))

slope= -5 / 5

slope= -1

Using slope intercept form

y= mx+ b

y= -x+ b

Now, put x= -5 and y= 0 then

0 = -(-5)+ b

b= -5

So, the equation of line is

y= -x - 5

Here, the y intercept is -5.

So, the equation with same y intercept is

y = 5x - 5

Learn more about slope here:

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Answer:

m = 5/9

Step-by-step explanation:

rise = 5

run = 9

m = rise/run

m = 5/9

Answer:

m = 5/9

Step-by-step explanation:

Use the slope formula to find the slope m.

[tex]m = \frac{5}{9}[/tex]

Answer:

11: 1 tens, 1 ones      17: 1 tens, 7 ones     17 is greater number, it is greater by 6

Answer:

i want to drive alone but i am 15 and need to be 17

Step-by-step explanation:

Step-by-step explanation:

[tex] \tt{} \frac{24}{10} [/tex]

[tex] \tt{} \frac{24 \div 2}{10 \div 2} [/tex]

[tex]\tt{} \frac{12}{5} [/tex]

[tex]\tt{}2 \frac{2}{5} \: \: \: \: \: = 2.4[/tex]

Answer:

81 samples

Step-by-step explanation:

According to the empirical rule :

Possible values of the sample mean is within 3 standard deviations of the population mean :

μ ± 3 sd(x) ; sd(x) = standard deviation of sampling distribution.

3 * sd(x) = 1

sd(x) = 1/3

Recall:

Standard deviation of sampling distribution, sd(x)

sd(x) = σ / sqrt(n)

1/3 = 3 / sqrt(n)

Square both sides

1/9 = 9/n

Cross multiply :

n * 1 = 9 * 9

n = 81

Answer:

3

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

We are given r(x) and c(x).

p(x) = 8x - (3x + 12)

p(x) = 8x - 3x - 12

p(x) = 5x - 12

Done.

Answer:

There are 1240 students at Washington middle school.  

Step-by-step explanation:

Percentages and Portions

We can find portions of a whole by correctly managing the percentages of each part. We know 25% of all students at Washington middle school were on the honor roll. From that portion, 60% of the students are seventh graders. That means 40% of the 25% are eight graders, i.e. 40*25%=10% were from eight grade.

We have 10% of all students are 124, thus the number of students are 124/10%=1240

There are 1240 students at Washington middle school.  

Let's test the answer. 25% of 1240 students are on the honor roll, which is 310 students. 40% of 310 students are from 8th grade, 40%*310 = 124 as stated in the problem

Answer:

The answer is 3.4

Step-by-step explanation:

5 or more, round up

4 or less, round down

rounding 6

round up

so...

3.4

(-2, -7) and (-4, -9)

Answer:

3.4Oz

Step-by-step explanation:

Answer:

When you reflect a point of the x-axis you can apply:

(x,y) -> (x,-y)

Using this:

(2,-5) -> (2,5)

Since both the x and y places are positive, it is in quadrant 1.

Hope this helps!

Step-by-step explanation: