The figure is made by attaching semicircles to each side of an 11-ft-by-11-ft
square. Find the area enclosed by the figure. Use 3.14 for pi

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]

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:

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

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:

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

Answer: these are the y intercepts NOT IN LEAST TO GREATEST ORDER JUST IN THE ORDER OF THE QUSTION

0,7

0,0.7

0,-5

0,2

Step-by-step explanation:

Answer:

these are the y intercepts NOT IN LEAST TO GREATEST ORDER JUST IN THE ORDER OF THE QUSTION

0,7

0,0.7

0,-5

0,2

Step-by-step explanation:

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:

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:

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:

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

Step-by-step explanation:

Answer:

See step by step explanation

Step-by-step explanation:

Q = 875  + 6 * Adv. expenditure + 15* Income - 5 * Product price

A.- As we can see each unitary change (in thousands of $) in Income, will mean an increase of  15 $ (thousands ) in the demand function, the highest impact in Q

C.- The regression model is capable of explaining  92 % of the variation in Q due to the predictors.

D.- If the price is increased by 10 $ demand will decrease in 50

Answer:

its F

Step-by-step explanation:

because 1+1 is AxB is 21

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:

Step-by-step explanation:

Answer:

11+k=29

Step-by-step explanation:

So "more than" means addition.

let's solve this for fun

11 + k =29

k = 29-11

k= 18

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:

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 = 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:

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:

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

Why buying a house is a better investment than renting an apartment is: B. Mortgage payments increase the homeowner's equity.

Why buying a house can tend to be better investment compared to renting an apartment is because of mortgage.

When a person pay  for the mortgage, the person debt or loan balance will decrease and on the other hand the person  homeowner equity will tend to increase.

Therefore the correct option is B.

Learn more about Why buying a house is a better investment  here:https://brainly.com/question/2505246

#SPJ1

Answer:

32, 16, 8, 4, 2, 1

Explanation:

The geometric mean can be represented by [tex] \sqrt[n]{x_{1} • x_{2} • x_{3} • .. x_{n}} [/tex].

Which is the mean of the product of n numbers, used to find the average of a geometric progression.

Don't get confused by geometric mean, it is only asking you about the next numbers in the geometric sequence given the first and sixth term.

The explicit rule for a geometric sequence can be modeled by:

[tex] a_{n} = a_{1} • r^{n-1} [/tex]

Where [tex] a_{n} [/tex] is the nth term, [tex] a_{1} [/tex] is the first term in the sequence, n is the term number, and r is the common ratio.

Since we already know the first term, [tex] a_{1} [/tex] will simply be 32.

Since we know it's geometric, there will be an exponential relationship, which means that we will use the geometric mean to find the common ratio.

There are 6 total terms, r is raised to the n – 1 so 6 – 1 = 5, and that will be the degree of this root.

[tex] \sqrt[5]{\frac{a_{6}}{a_{1}}} [/tex] =

[tex] \sqrt[5]{\frac{1}{32}} [/tex] =

[tex] \frac{1}{2} [/tex].

Therefore: [tex] r = \frac{1}{2} [/tex].

Using all the information we have, we can find the explicit rule:

[tex] a_{n} = a_{1} • r^{n-1} [/tex]

[tex] a_{n} = a_{1} • r^{n-1} [/tex] →

[tex] \boxed{a_{n} = 32 • (\frac{1}{2})^{n-1}}[/tex]

________________________________

We can test that this works by substituting the number location of the term you want to find.

For instance:

[tex] a_{1} = 32 • (\frac{1}{2})^{1-1} [/tex]

[tex] a_{1} = 32 • (\frac{1}{2})^{0} [/tex]

[tex] a_{1} = 32 • 1[/tex]

[tex] a_{1} = 32 [/tex]

[tex] a_{6} = 32 • (\frac{1}{2})^{6-1} [/tex]

[tex] a_{6} = 32 • (\frac{1}{2})^{5} [/tex]

[tex] a_{6} = 32 • \frac{1}{32} [/tex]

[tex] a_{6} = 1 [/tex]

Answer:

one and 1/6 cups (1 1/6)

Step-by-step explanation:

2/3 + 1/2

TOTAL means addition.

To add 2/3 and 1/2, we must first find the lowest common denominator (LCD).

The denominator of 2/3 is 3.

The denominator of 1/2 is 2.

Now, we list the multiples of the denominator and find the lowest multiple they have in common.

3: 3, 6, 9, 12, 15

2: 2, 4, 6, 8, 10

The lowest number they have in common is 6.

Second, we change the denominators to 6.

In 2/3, to make 3 into 6, we have to multiply it by 2.

Since we're multiplying the denominator by 2, the numerator will be multiplied by 2 as well.

2/3 x 2/2 = 4/6

Now we do the same for 1/2.

1/2 x 3/3 = 3/6

Now, we add the new fractions.

4/6 + 3/6 = 7/6

7/6 = 1 1/6 (one and 1/6 cups).

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

You would use the Distributive property to make the left side the same as the right side.

5(w+12) = 5w + 60

Multiply the 5 by each term inside the parenthesis.

5w +60 = 5w +60

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:

2(x+9)≤4x

Step-by-step explanation:

2x+18≤4x

-18       -18

2x≤4x-18

-4x  -4x

-2x≤18

/-2  /-2

x≥9