An unknown distribution has a mean of 80 and a standard deviation of 12. A sample size of 95 is drawn randomly from the population.
Find the probability that the sum of the 95 values is less than 7,450. (Round your answer to 4 decimal places)

Considering the concepts of parallel lines and alternate interior angles, it is found that Mitch created diagram C.

Parallel lines are lines that never intersect. For this problem, lines l and k are parallel, that is, they are the horizontal lines.

When two parallel lines are crossed by a transversal, the alternate interior angles are between the two parallel lines, one in each side.

Since 1 and 2 are alternate interior angles, Mitch created diagram C.

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Answer:

38.13 m²

Step-by-step explanation:

area of triangle = 1/2 base × height

                          = 1/2 × 4 × 3

                          = 6 m²

Area of rectangle = length ×  width

                             = 6 × 3

                             = 18m²

Area of semi circle = 180/360 × π × radius²

                               = 180/360 × 3.14 × 3²

                               = 14.13 m²

Add all the areas together

6 + 18 + 14.13 = 38.13

Answer:

95 + (15 x n)  n = number of people attending

Step-by-step explanation:

the Price will vary based on how many people attend the wedding, so if the variable n represents the number of people attending you only need to times that by 15$ and then add the original 95$

The scale copy of a shape is the resulting shape when the original shape is dilated. Possible scaled rectangles of rectangle A are 12cm by 8cm and 48cm by 32cm .

It is required to find the measurements that could be the dimensions of rectangle B.

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.

Given :

Length=6 cm

width=4cm

According to given question we have,

Divide the length and the width of the rectangle we get=

k=Length/width

k=6/4

k=1.5

This means that a scaled copy of rectangle A must have a value of 1.5

when the dimensions are divided.

Possible rectangles are:

A. 12cm by 8cm

Divide the length and the width of the rectangle we get,

k=12/8

k=1.5

B. 48cm by 32cm

Divide the length and the width of the rectangle we get,

k=48/32

k=1.5

Therefore, the scale copy of a shape is the resulting shape when the original shape is dilated. Possible scaled rectangles of rectangle A are 12cm by 8cm and 48cm by 32cm .

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Answer:

3/12 or 1/4 in simplest fraction form

Step-by-step explanation:

Slope is given by the formula rise/run

Here rise = 3, run = 12  

So slope = 3/12 = 1/4

The amount will be $141647.55.

we need to use the present value of an annuity formula:

the formula used to determine the present value factor of an annuity is:

present value annuity factor = [1 - 1/(1 + i)ⁿ ] / i

we must divide this into 2 parts:

the first part will deal with the $19,00 monthly payment

the second part deals with the $38,000 monthly payment

i = 9.75% / 12 = 0.8125%

n (first part) = 36

n (second part) = 24

the PV annuity factor for first part = [1 - 1/(1 + 0.8125%)³⁶ ] / 0.8125% = 31.1043

the PV annuity factor for second part = [1 - 1/(1 + 0.8125%)²⁴ ] / 0.8125% = 21.7251

loan = ($219,00 x 31.1043) + ($38,00 x 21.7251)//(1 + 0.8125%)³⁶ = $59092.17 + $82555.38 = $141647.55

hence we get the amount as $141647.55

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The region represented by the inequality in vertex form is the inequality in the last option y ≥ -(x - 50)² + 625.

Let's assume that the equation is y = a(x - h)² + k

y = a(x - 50)² + 625

Put the point (61,504) in the equation

⇒ 504 = a(61 - 50)² + 625

⇒ 504 = a(11)² + 625

⇒ 504 = 121a + 625

⇒ 121a = -625 + 504

⇒ 121a = -121

⇒ a = -1

y = -(x - 50)² + 625

Hence the inequality is  y ≥ -(x - 50)² + 625.

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Answer:

b

Step-by-step explanation:

earned at the end of one year? How much interest would you have earned compounded annually after 2 years?

Get the first year interest. Also, calculate the second year interest then add it to the first to get total interest after 2 years.

Remember: Interest - Principal x Rate x Time

Answer:

3 because everything is minus

Answer:

I legit don't remember lol

Answer:

57.3

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{10 \dfrac{2}{3}\times 5\dfrac{3}{8}}[/tex]

[tex]\mathsf{= \dfrac{10\times3 + 2}{3}\times\dfrac{5\times8 + 3}{8}}[/tex]

[tex]\mathsf{= \dfrac{30 + 2}{3} \times \dfrac{40 + 3}{8}}[/tex]

[tex]\mathsf{= \dfrac{32}{3}\times \dfrac{43}{8}}[/tex]

[tex]\mathsf{=\dfrac{32\times43}{3\times 8}}[/tex]

[tex]\mathsf{= \dfrac{172}{3}}[/tex]

[tex]\mathsf{= 57\dfrac{1}{3}}[/tex]

[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{57\dfrac{1}{3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer: -30

Step-by-step explanation:

Answer:

the answer would be -30!!!

Step-by-step explanation:

i took the quiz.

Answer:

11.5

Explanation and Check part below

Hope this helps :)

Step-by-step explanation:

x stands for an unknown value, so we will put the x next to the 6 to solve the equation.

6x = 69

--- ---- <------ fraction bar/divide

6 6

x = 11.5

Check:

6 (11.5) = 69

69 = 69

True statement.

Using it's concepts, we have that:

Hence:

A relation represents a function when each value of the input is mapped to only one value of the output.

From this graph, we have that each value of x is mapped to only one value of y, that is, there are no vertically aligned points, hence the relation is a function.

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Step-by-step explanation:

As we know that the value of Complementary angle is always 90°

9x° + 6° + 3x° = 90°

12x° + 6° = 90°

12x° = 90° - 6

12x° = 84°

[tex]x° = \frac{84°}{12°} \\ [/tex]

x° = 7°

☘️☘️☘️ ...

Answer:

Monday.

Step-by-step explanation:

total money = the cost of one day x the number of students

$64 > $52 > $36

$64 is the greatest, so the correct answer is monday.

Answer:

(n ÷ 4) + 6 = 8

Step-by-step explanation:

Pretty sure I answered this before, but here you go.

Quotient means The answer when you divide' So we are working in the division.

n ÷ 4 is the division part

It says 'and' which can also mean addition. So we add 6. So far our equation is: (n ÷ 4) + 6 (Brackets are needed as we are dividing n by 4 and not dividing n by 4+6)

Lastly it says the answer must be 8 so we add that at the end. So the answer is:

(n ÷ 4) + 6 = 8

Answer:

1)

D) -5<x≤-2

R) 0<y≤3

2)

D) 1≤x≤5

R)2≤y≤4

Step-by-step explanation:

(Only in 7th so might be wrong)

1)

D) -5<x≤-2

R) 0<y≤3

2)

D) 1≤x≤5

R)2≤y≤4

look at the range of where the x and y is at (1-2 included = 1<x≤2)

Answer:

f(8) = -208

Step-by-step explanation:

Apply 8 into the equation

f(8) = -3(8)² - 2(8)

      = -192 - 16

      = -208

8 will be your x value since it's implied within the question itself.

Answer:

-208

Step-by-step explanation:

Given function:

[tex]\text{f}(x)=-3x^2-2x[/tex]

To find f(8), substitute x = 8 into the function:

[tex]\begin{aligned}\text{f}(x) & =-3x^2-2x\\\implies \text{f}(8) & =-3(8)^2-2(8)\\& =-3(64)-2(8)\\& =-192-16\\& = -208\end{aligned}[/tex]

Therefore, f(8) = -208.

The required Length is 10cm.

What is length?

220 / 14 gives us 15.

You have to understand that this means 15 whole 14 cm pieces and a Length of 1 piece.

thus 14 * 15 = 210

So 220- 210 = 10

where you know 220- 210 is< 15

Hence, The correct Length is 10cm.

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Answer:

B. 306

Step-by-step explanation:

using pemdas you would do parenthesis, exponents, multiplication or division whatever comes first, and lastly addition or subtraction whatever comes first.

Answer: B

Step-by-step explanation:

Answer:

option c is correct....

No, 12 17 and 14 19 determined ratio are not proportional.

If two ratios depict the same connection, they are said to be proportionate. By writing two ratios as fractions and then reducing them, one may determine if they are proportionate. Your ratios are proportional if the reduced fractions are equal.

We can observe that 17 and 19 are prime numbers,

So, 12 : 17 cannot be simplified further,

Neither 14 : 19 can be simplified.

⇒ 12 : 17 ≠ 14 : 19

∴ We can say that 12 17 and 14 19 determined ratio are not proportional.

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The amount paid for the refrigerator is $740.25.

From the information, the sale price of a new refrigerator is $705 and sales tax is figured at 0.05 times the price.

The price of the refrigerator will be:

= $705 + (0.05 × $705)

= $705 + $35.25

= $740.25

Therefore, the amount paid for the refrigerator is $740.25

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Answer:

4

shirts at Bixby's costing

$

11.50

would cost

XXX

4

×

$

11.50

=

$

46

If

5

shirts at Baxter's cost the same as

4

shirts at Bixby's,

5

shirts at Baxter's would cost

$

46

and

1

shirt at Baxter's would cost

$

46

5

=

$

9.20

a) The length of the side AB is approximately 11.276 meters.

b) The area of the base of the pyramid is approximately equal to 6.161 square meters.

c) The volume of the pyramid is equal to 16.429 cubic meters.

a) The picture shows a pyramid with a triangular base, the triangle has one obtuse angle and the length of the side AB can be found by the law of the sine:

6 / sin 110° = AB / sin 30°

AB = 6 × (sin 30° / sin 110°)

AB ≈ 3.193 meters

The length of the side AB is approximately 11.276 meters.

b) First, find the length of the side AC:

6 / sin 110° = AC / sin 40°

AC = 6 × sin 40° / sin 110°

AC ≈ 4.104 meters

Second, determine the area of the triangular base by Heron's formula:

s = 0.5 · (AC + BC + AB)

s = 0.5 · (4.104 m + 6 m + 3.193 m)

s = 6.649 m

A = √[s · (s - AC) · (s - BC) · (s - AB)]

A = √[6.649 · (6.649 - 4.104) · (6.649 - 6) · (6.649 - 3.193)]

A ≈ 6.161 square meters

The area of the base of the pyramid is approximately equal to 6.161 square meters.

c) The volume of the pyramid can be found by using the following expression:

V = (1 / 3) · A · h

Where:

If we know that A ≈ 6.161 square meters and h = 8 meters, then the volume of the pyramid is:

V = (1 / 3) · (6.161 m²) · (8 m)

V = 16.429 m³

The volume of the pyramid is equal to 16.429 cubic meters.

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The domain of the function g ( x ) = √ x − 3 / x − 11 is R - 11.

Inputs are assigned outputs by functions. The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.

Consider the function y = f(x), which has the independent variable x and the dependent variable y. A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.

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Answer:

5

Step-by-step explanation:

750ml= 25 fluid oz each glass is 5oz

5/25=5oz