Find the MEAN
Sandra's scores on the first 5 tests were 87%, 92%, 76%, 92%, and 89%.

Answer:

Denis's total sales that week were $ 6,422.22.

Step-by-step explanation:

Since Dennis Hampton earns a straight commission of 7% on sales of $ 5,000 or less and 9% on sales in excess of $ 5,000, if one week Dennis had a gross pay of $ 578, to determine what were his total sales for that week the following calculations must be performed:

7 = 578

100 = X

100 x 578/7 = X

57,800 / 7 = X

8,257.14 = X

9 = 578

100 = X

100 x 578/9 = X

57.800 / 9 = X

6,422.22 = X

Therefore, Denis's total sales that week were $ 6,422.22.

Answer:

x = 66°

Step-by-step explanation:

unmarked angle = x because it is an isosceles triangle.

The sum of all three interior angles of any triangle = 180°

So:

2x + 58° = 180°

2x = 122°

x = 66°

Answer:

I think its a

Step-by-step explanation:

The box plot in option A is right-skewed or in other words positively skewed.

A box plot is a graphical representation of the distribution of a dataset, particularly picturizing its center, spread, and potential outliers. It is also used to find the skewness in the distribution.

It is also known as a box-and-whisker plot.

The given data points are 10, 20, 30, 40, 50, 60.

As the number of observations, n = 6, is even, the following formula will be used to find the median:

[tex]Med(X) = \dfrac{X_\frac{n}{2}+X_\frac{n}{2} _+_1 }{2}[/tex],

where X is the random variable such that X ∈ [10, 60].

[tex]X_\frac{n}{2} = X_\frac{6}{2} = X_3 = 30\\X_\frac{n}{2}_+_1 = X_\frac{6}{2}_+_1 =X_{3+1} = X_4 = 40[/tex]

[tex]Med(X) = \dfrac{30 + 40 }{2}[/tex]

              [tex]= \dfrac{70}{2} \\= 35[/tex]

It is clear that the whiskers of the box plot in Figure A are shifted right to the median, 35.

Thus, the box plot in option A is right-skewed.

Learn more about Box Plot here:

https://brainly.com/question/9827993

#SPJ4

Answer:

X = 8

Step-by-step explanation:

Kindly check the image below for the relationship between two segments in a circle that intersect

A * B = C * D

This relationship is important to understand when trying to solve for x in this type of problem

Now imagine that A = 15 B = x C = 10 and D = 12

Now we want to create an equation

( Using the relationship )

15 * x = 12 * 10

Now we solve for x using basic algebra

12 * 10 = 120

15x = 120

* divide each side by 15 *

15x/15 = x

120 / 15 = 8

we're left with x = 8

Answer:

9:59

Step-by-step explanation:

Answer:

C) 9:59

Step-by-step explanation:

Now 9:29

in 30 min 9:59

Answer:

2(21/pi)=d

Step-by-step explanation:

The formula for a circumference is C=2(pi)(r) in this case we know our circumference is 42 meters so 42=2(pi)(r), we must leave our radius by itself so we divide by 2 to get 21=pi(r) we then also divide by pi which will get us 21/pi=r and we know that the diameter is double of the radius so we just double which will then be 2(21/pi)=d

Answer:

Mean: 20

Median: 21

Mode: 14

Range: 16

Answer:

the median is 21. the mode is 14 and the range is 16

Step-by-step explanation:

Answer:

[tex]y = 4.5x[/tex]

Step-by-step explanation:

Given

The attached table

Required

The table equation

The table shows a linear relationship.

So, we calculate the slope (m) first

Using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) =(2,9)[/tex]

[tex](x_2,y_2) =(6,27)[/tex]

So, we have:

[tex]m = \frac{27 - 9}{6 - 2}[/tex]

[tex]m = \frac{18}{4}[/tex]

[tex]m = 4.5[/tex]

Next, the equation is calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = 4.5(x - 2) + 9[/tex]

Open bracket

[tex]y = 4.5x - 9 + 9[/tex]

[tex]y = 4.5x[/tex]

Answer:

[tex]n(A \cup B) = 6[/tex]

Step-by-step explanation:

In Venn sets, we have that:

[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)[/tex]

In which n is the number of elements that each set contains.

In this question:

[tex]n(A) = 8, n(B) = 9, n(A \cap B) = 6[/tex]

So

[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B) = 8 + 9 - 6 = 17 - 6 = 11[/tex]

So

[tex]n(A \cup B) = 6[/tex]

Answer:

Heron's formula (sometimes called Hero's formula), named after Hero of Alexandria, gives the area of a triangle when the length of all three sides are known. Unlike other triangle area formulae, there is no need to calculate angles or other distances in the triangle first.

Answer:

D. 116

Step-by-step explanation:

Let the grasshoppers with a white marking be 2x.

Let the grasshoppers without a white marking be 3x.

2x + 3x = 290

5x = 290

x = 290 / 5

x = 58

The grasshoppers with a white marking

= 2x

= 2 ( 58 )

= 116

Answer:

c

Step-by-step explanation:

im on plato just passed the test

Answer:

11/3, 9/5, 9/5 , 2/3 , 1/3 , -1/3.1 , -1/3

Answer:

Step-by-step explanation:

Given:

Principal = $14000

Rate of interest = 10% compounded semiannually.

Time = 11 years.

To find:

The accumulated value of the given investment.

Solution:

Formula for amount or accumulated value after compound interest is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is the principal values, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.

Compounded semiannually means interest compounded 2 times in an years.

Putting [tex]P=14000,r=0.10,n=2,t=11[/tex] in the above formula, we get

[tex]A=14000\left(1+\dfrac{0.10}{2}\right)^{2(11)}[/tex]

[tex]A=14000\left(1+0.05\right)^{22}[/tex]

[tex]A=14000\left(1.05\right)^{22}[/tex]

[tex]A\approx 40953.65[/tex]

Therefore, the accumulated value of the given investment is $40953.65.

Answer:

A = $41,867.06

A = P + I where

P (principal) = $14,000.00

I (interest) = $27,867.06

Step-by-step explanation:

Given: Investment = $14,000 Annual Rate: 10% compounded semiannually = 11 year

To find: The accumulated value of an investment

Formula: [tex]A = P(1 + \frac{r}{n}) ^n^t[/tex]

Solution: First, convert R as a percent to r as a decimal

r = R/100

r = 10/100

r = 0.1 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 14,000.00(1 + 0.1/12)(12)(11)

A = 14,000.00(1 + 0.008333333)(132)

A = $41,867.06

Henceforth:

The total amount accrued, principal plus interest, with compound interest on a principal of $14,000.00 at a rate of 10% per year compounded 12 times per year over 11 years is $41,867.06.

Step-by-step explanation:

we do this because when you start multiplying your 2nd digit you would put the zero to signifie that you started a mother digit.

if this is not what your looking for then sorry

Answer: x=6  x=5

Step-by-step explanation:

Answer:

take hints and don't be confused on such question

Answer:

5y - 2x = 8

Step-by-step explanation:

First off we have to find the y-intercept with : b = y-mx

[tex]b=2-(\frac{2}{5})(1)[/tex]

[tex]b=\frac{10}{5}-\frac{2}{5}[/tex]

[tex]b=\frac{8}{5}[/tex]

now we have the point slope form

[tex]y=\frac{2}{5}x+\frac{8}{5}[/tex]

Multiply both sides by 5

[tex]5y=2x+8[/tex]

Subtract 2x from both sides

[tex]5y-2x=8[/tex]

Answer:

55

Step-by-step explanation:

straight lines are always 180.

[tex]180=125+x\\180-125=125+x-125\\55=x[/tex]

9514 1404 393

Answer:

  $4717.30

Step-by-step explanation:

Assuming the interest is capitalized only at the start of repayment, the accrued interest is ...

  I = Prt

  I = ($29,300)(0.0322)(4 +1) = $4717.30

The accrued interest is $4717.30.

Answer:

0.0918 = 9.18% probability that the mean pH measurement of these four specimens is greater than 8.2

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean 8 and standard deviation 0.3.

This means that [tex]\mu = 8, \sigma = 0.3[/tex]

Sample of 4:

This means that [tex]n = 4, s = \frac{0.3}{\sqrt{4}} = 0.15[/tex]

What is the probability that the mean pH measurement of these four specimens is greater than 8.2?

This is 1 subtracted by the pvalue of Z when X = 8.2. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{8.2 - 8}{0.15}[/tex]

[tex]Z = 1.33[/tex]

[tex]Z = 1.33[/tex] has a pvalue of 0.9082

1 - 0.9082 = 0.0918

0.0918 = 9.18% probability that the mean pH measurement of these four specimens is greater than 8.2

Answer:

Step-by-step explanation:

If you add up all the male and female categories, the total is 400

the number of females between 22 and 39 is 51

P(22 - 39)  = 51 / 400

P(22 - 39) = 0.1275

I think the answer you want is 51/400

Answer:

x = 5

Step-by-step explanation:

[tex]\frac{4.5}{7.5}[/tex] = [tex]\frac{3}{x}[/tex]

cross multiply

4.5x = 7.5(3)

4.5x = 22.5

divide

x = 5

Answer:

4/6

Step-by-step explanation:

Make 1/3 into 6 as its denominator.

1 x 2 = 2

3 x 2 = 6

Black beans fill up 2/6 of the bag.

Red beans fill up 2/6 of the bag.

Find out what is the fraction both bags fill up altogether.

2/6 + 2/6 = 4/6

Answer:

64

Step-by-step explanation:

a² + 2ab + b²

→ Identify the value of a

a = 1

→ Find b using a

-16 ÷ ( 2 × 1 ) = -8

→ Square the b term

( - 8 )² = 64

Answer:

She can only spend 300 of her monthly salary on rent.

Step-by-step explanation:

Answer:

at least 2 angles are congruent

Step-by-step explanation:

isoseles triangles have two congruent opposite angles such as 70 70 40