What is the measure of

Answer:

Smaller

Step-by-step explanation:

Example: say the original size is 100

increasing 100 by 1/5 is the same as increasing 100 by 20, so the new size is 120

reducing 120 by 1/5 is the same as reducing 120 by 24, so now the new size is  96.

100>96

Answer:

2 units

Step-by-step explanation:

Given data

The points are  (2, 3) and (2, 5)

x1= 2

y1= 3

x2= 2

y2= 5

substitute into the distance between two points formula

d=√((x_2-x_1)²+(y_2-y_1)²)

d=√((2-2)²+(5-3)²)

d=√(2)²)

d=√4

d= 2 units

Hence the length is 2 units

Answer:

7.5

Step-by-step explanation:

The perimeter of the regular pentagon will be 7.5 units.

All the sides of the regular polygon are congruent to each other. The perimeter of the regular polygon of n sides will be the product of the number of the side and the side length of the regular polygon.

P = (Side length) x n

The sides of the regular polygon are 3(x - 1) and (5x - 6). Then the value of the variable x will be

3(x - 1) = 5x - 6

3x - 3 = 5x - 6

2x = 3

x = 1.5

Then the side length of the regular pentagon will be

Side = 3(1.5 - 3)

Side = 3 (0.5)

Side = 1.5

Then the perimeter of the regular pentagon will be

P = 5 x 1.5

P = 7.5 units

The perimeter of the regular pentagon will be 7.5 units.

More about the perimeter of the regular polygon link is given below.

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Answer:

dog

Step-by-step explanation:

Answer:

5 inches

Step-by-step explanation:

"perimeter of 32"

a+b+c = 32

a ≤ b ≤ c

"medium side is 7 more than the short side"

b = a+7

"longest side is 3 times the length of the shortest side

c = 3a

Substitution

a + (a+7) + (3a) = 32

5a = 25

a = 5 inches

To be able to solve clearly this problem, the best thing to do is to plot the graph (see attached pic). From the graph we can see that the points form a trapezoid.

The base is formed by the segment connecting point A and point B.

While the two heights: shorter one by the segment connecting points A and D, and the longer one by the segment connecting points B and C.

The formula for area of trapezoid is given as:

A = b (h1 + h2) / 2

Where,

b = base of the trapezoid  = 3 – (-4) = 7

h1 = shorter height = 2 – (-2) = 4

h2 = longer height = 2 – (-5) = 7

Therefore the area is:

A = 7 (4 + 7) / 2

A = 77 / 2

A = 38.5

Convert 27% to the equivalent decimal 0.27. Multiply 16 by 0.27 to get 4.32. Use estimation to check the answer by choosing the friendly percent 25%. 25% of 16 is equal to 16 ÷ 4 = 4. The answer is reasonable.

4.32

Answer:

I think Your best answer would be 117 yards.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Combine like terms.Like terms have same variable with same exponent

4x³ + 6x - 7 + 3x³ - 5x² - 5x + 9 = 4x³ + 3x³ - 5x² + 6x - 5x  - 7 + 9

                                                  = 7x³ -5x² + x + 2

Answer:

[tex]Total\ Rotation = 225^{\circ}[/tex]

Step-by-step explanation:

Given

See attachment for nut

Required

Determine the angle of rotation

The total angle in the nut is:

[tex]\theta = 360^{\circ}[/tex]

An octagonal nut has 8 sides. So, each rotation is:

[tex]Each\ Rotation=\frac{360^{\circ}}{8}[/tex]

[tex]Each\ Rotation=45^{\circ}[/tex]

From position 8 to 5, there are 5 movements.

So, the total rotation is:

[tex]Total\ Rotation = Each\ Rotation * Moves[/tex]

[tex]Total\ Rotation = 45^{\circ} * 5[/tex]

[tex]Total\ Rotation = 225^{\circ}[/tex]

Answer:

Step-by-step explanation:

I added a screenshot of the graph hope it helps

Answer:

We can be 95% certain that the sample mean will fall within $44.87 and $46.93

Step-by-step explanation:

Empirical Rule:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

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.

Population:

Mean $45.90, standard deviation $10.31.

Sample:

By the Central limit theorem, mean $45.90, standard deviation [tex]s = \frac{10.31}{\sqrt{400}} = \frac{10.31}{20} = 0.5155[/tex]

Which interval can the branch manager be 95% certain that the sample mean will fall within?

By the Empirical Rule, within 2 standard deviations of the mean. So

45.90 - 2*0.5155 = $44.87

45.90 + 2*0.5155 = $46.93

We can be 95% certain that the sample mean will fall within $44.87 and $46.93

Answer:

6

Step-by-step explanation:

10, 10, 10, 10, 10, 10. Those are 6 tens

Answer:

The inequality is always true.

True

(づ￣ ³￣)づ

is that algebra?

A:C

Step-by-step explanation:

Answer:

2 2/5

Step-by-step explanation:

3 pizzas are equal to 24 slices. if there 10 each person can get 2.4 or 2 2/5

Answer:

3/10 of the pizza is given to each person

Step-by-step explanation:

total number of people= 10

number of pizzas=3

as a fraction, this would be 3/10

you can also use this as 30 out of 100 if that's easier to understand.

Hope this helps ༼ つ ◕_◕ ༽つ

Answer:

21+x

Step-by-step explanation:

Because this does not equal anything, we can't solve for x. Instead, we can just simplify the equation. Since there is a + sign to the left of the parentheses, it shows that we do not need to distribute.

13+(x+8)

21+x

Hope this helps!! Have a nice day ^^

Answer:

First off you would distribute the invisible positive 1 to the x and 8

Then you will get 13+x+8

Last add 13 and 8 to get 21

Your final answer is 21+x

Step-by-step explanation:

Answer:

75:25:100

Step-by-step explanation:

step 1= 3+1+4=8

step 2= 200/8=25

step 3= 25 x 3=75

25 x 1= 25

25 x 4=100

The price will be $148. $185 - 20% =$148.

Answer:

Commutative Property of Multiplication

I hope this helps you :D

Commutative

The commutative property tells us that two addition and multiplication sentences are equal no matter the order.

For example:

3+4=4+3

6 x 5= 5 x 6

Hope this helps. Please give brainiest.

Answer: 52

Step-by-step explanation:

is that all there is to it? just simply adding up 12 + 32 + 8, adding up the number of women who took the survey? if so, the answer is 52.

The number of tourists who visited the city at the end of February that year is 4x.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The number of tourists visiting the city doubles every month, which means the number of tourists at the end of January is 2 times the number of tourists at the beginning of January, or 2x.

Similarly, the number of tourists at the end of February is 2 times the number of tourists at the end of January, or 2(2x) = 4x.

Therefore,

The number of tourists who visited the city at the end of February that year is 4x.

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Answer:

1

Step-by-step explanation:

Given :

Mean, μ = 4

Standard deviation, s = 0.8

Sample size, n = 30

The distribution is independent.

Z = (x - μ) / s /sqrt(n)

Probability that downtime period is between 1 and 5

P(1≤ x ≤ 5) :

[(x - μ) / (s /sqrt(n))] ≤ Z ≤ [(x - μ) / (s /sqrt(n))]

[(1 - 4) / (0.8 /sqrt(30))] ≤ Z ≤ [(5 - 4) / (0.8 /sqrt(30)]

[-3 / 0.1460593] ≤ Z ≤] 1 / 0.1460593]

P(-20.539602 ≤ Z ≤ 6.8465342)

P(Z ≤ 6.8465342) - P(Z ≤ - 20.5396)

P(Z ≤ 6.8465342) = 1 (Z probability calculator)

P(Z ≤ - 20.5396) = 0 (Z probability calculator)

1 - 0 = 1

Answer:

The amount of sale is approximately 5714.

Step-by-step explanation:

Let x be the sales made that will result to the same salary and let y be the same weekly salary.

We can represent both salaries as follows:

300 + 0.04x = y

100 + 0.075x = y

Subtracting the second equation from the first, we have:

200 – 0.035x = 0

0.035x= 200

x = 200/0.035

x ≈ 5714.

Therefore, the amount of sale is approximately 5714.