What is the opposite of -5.

a) The probability of a randomly selected diner waits less than 8 minutes for a table is 0.4

b) The probability of a randomly selected diner waits more than 1.5 minutes is 0.925

Given, wait times of between 0 and 20 minutes at a local restaurant follow a uniform distribution.

The probability density function of a uniform distribution is given by

f(x) = {1/(b-a)} where a ≤ x ≤ b

where a = 0 and b = 20

Therefore, the probability density function of f(x) = 1/20 for 0 ≤ x ≤ 20

For the  probability that a randomly selected diner waits between 2 and 7.5 minutes for a table, we need to find the area under the curve from x = 2 to x = 7.5

∴ P(2 ≤ x ≤ 7.5) = ∫₂⁷.⁵(1/20) dx

= 5.5/20 ⇒ 0.275

a) We need to find the area under the curve from x = 0 to x = 8

∴ P(x < 8) = ∫₀⁸(1/20) dx

= 8/20 ⇒ 0.4

b) We need to find the area under the curve from x = 1.5 to x = 20

∴ P(x > 1.5) = ∫₁.₅²⁰(1/20) dx

= 18.5/20 ⇒ 0.925

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The equation of the line in slope-intercept form is y = -5x

From the question, we have the graph that can be used in our computation

On the graph, we have the following points

(0, 0) and (-1, -5)

Start by calculating the slope using

Slope = (y₂ - y₁)/(x₂ - x₁)

Where,

(x, y) = (0, 0) and (1, -5)

So, we have

Slope = (-5 - 0)/(1 - 0)

This gives

Slope = -5

The equation of the line is then calculated as

y= Slope * (x - X) + Y

So, we have

y = -5 * (x - 0) + 0

Evaluate

y = -5x

Hence, the equation is y = -5x

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The excel statement to estimate the test average of these 4 grades is -

An average is the sum of many numbers divided by the total of numbers. It is also known as the arithmetic mean.

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tan 49° = x/55

tan Θ = opposite/adjacent

x - opposite

55 cm - adjacent

The quarts of water needed for 9 quarts of grape juice is 18 quarts of water .

The amount of grape juice needed for 15 / 4 quarts of water is 1 7/8.

The amount of water needed for 100 quarts is  66 2/3 quarts.

The amount of grape juice needed for 100 quarts is 33 1/3 quarts.

The first step is to determine the ratio between the ingredients needed for sparking grape juice.

Ratio of sparking water to grape juice - 1 1/2 : 2/4

When expressed in its simplest form, the ratio becomes - 1 1/2 : 1.2

This means that there are twice the amount of water is needed for 1 quart of grape juice.

Quarts of sparking water needed for 9 quarts of grape juice = 9 x 2 = 18 quarts of sparking water

Grape juice needed for 15/4 quarts of sparking water = 15 / 4 ÷ 2

15 / 4 x 1/2 = 15 / 8 = 1 7/8

Let a represent the quarts of grape juice that would be used to make 100 quarts of punch.

Let a represent the quarts of sparking water that would be used to make 100 quarts of punch.

a + 2a = 100

3a = 100

a = 100 / 3

a = 33 1/3

Quarts of sparking water needed = 100 - 331/3 = 66 2/3 quarts

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Answer:

What kind of question is it?

The additional information required to prove  that ΔXYZ and ΔFEG are congruent is  ∠Z ≅ ∠G and XZ ≅ FG or ∠Z ≅ ∠G and XY ≅ FE. So option 1 and 5 are correct.

Here in the figure it is given that ∠F and ∠X are congruent. To prove the triangle is congruent we have to prove that either two sides including the angles are congruent or another angle and included side is congruent.

When ∠Z ≅ ∠G and XZ ≅ FG, two angles and included sides are congruent, so triangles are congruent.

∠Z ≅ ∠G and ∠Y ≅ ∠E , we can not apply ASA, since three angles are mentioned

XZ ≅ FG  and ZY ≅ GE , Two sides are given, ASA cannot be applied, we need two angles

XY ≅ EF and ZY ≅ FG, is not possible.

∠Z ≅ ∠G and XY ≅ FE, one corresponding side and two angles are equal, so ΔXYZ ≅ ΔFEG according to ASA.

So, the correct answer is option 1 and option 5.

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The complete question is as follows and image is given below

What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS? Check all that apply.

∠Z ≅ ∠G and XZ ≅ FG

∠Z ≅ ∠G and ∠Y ≅ ∠E

XZ ≅ FG and ZY ≅ GE

XY ≅ EF and ZY ≅ FG

∠Z ≅ ∠G and XY ≅ FE

Answer:

1 and 5 are correct

Step-by-step explanation:

Answer:

72$

Step-by-step explanation

How to insert in a calculator 90-20%= 72

How to take 20% from a price

Divide the original price by 5. 18

Subtract this new number from the original one. 90 - 18

The number you calculated is the discounted value. 90 - 18 = 72

Answer:

\( \boxed{ \tt{j} = \boxed{\tt 13.5}}\)

Step-by-step explanation:

Given equation:

\( \sf \cfrac{j}{ \tt3} = \tt 4.5\)

To find:

Value of x

Solution:

\( \implies\sf \cfrac{j}{ \tt3} = \tt 4.5\)

Multiply both sides by 3:

\(\sf \implies \cfrac{j}{3} \times 3 = 4.5 \times3\)

Use cancellation method to cancel LHS :

\( \sf \implies \cfrac{j}{ \cancel3 \: {}^{1} } \times \cancel3 \: {}^{1} = 4.5 \times 3 \: \: \)

\(\sf \implies{j} \times 1 = 4.5 \times 3\)

\(\sf \implies{j} = 4.5 \times 3\)

Now Multiply the RHS(4.5 and 3):

\( \sf \implies{j} = \boxed{13.5}\)

We're done!

Hence , the value of j would be 13.5 .

\( \rule{225pt}{2pt}\)

I hope this helps!

Let me know if you have any questions.

Answer:

6

Step-by-step explanation:

(-7, 2)

STEP - BY - STEP EXPLANATION

What to find?

The solution to the given the system of equations .

Given:

To solve the above system of equations, we will follow the steps below:

Step 1:

Multiply through equation (1) by 4

Step 2

Multiply through the second equation by 5.

Step 3

Using substitution method to solve.

Make x the subject of formular.

Step 4

Substitute equation(4) into equation (2).

Step 5

Open the parenthesis.

Step 6

Collect like term.

Step 7

Divide both-side of the equation by 15.

Step 8

Substitute y=2 into equation (4) to determine the value of x.

Hence, x =-7 and y=2.

Therefore, the solution in ordered pair is (-7, 2)

SOLUTION

From the question

And a poster is in a shape of a rectangle. The area of a rectangle is measured as

So, the expression for the area of the poster becomes

Hence the answer is

Answer:

its 99

Step-by-step explanation:

because it is the middle of your set after you arrange them in order from least to greatest

\(\mathrm{\frac{\#\:of\:miles}{\#\:of\:hours}=\frac{5}{1\frac{1}{2}}}\)

First off, we have to convert 1 and half hours to minutes

1 hour = 60 mins

1 and a half is half of 1, which is 60 ÷ 2 = 30, then plus 1 hour, which is 60. So 60 + 30 = 90.

So we have:

\(\frac{5}{90}\)

Since we converted minutes to hours on one side of the equation, we have to do the same on the other side of the equation.

1 hour = 60 mins

6 hours would be 60 × 6 = 360 minutes

Now we can set up a variable, \(m\), as to how far it will take in miles.

\(\frac{5}{90}=\frac{m}{360}\)

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Nextly, we solve for \(m\)

\(\frac{5}{90}=\frac{m}{360}\)

Step 1: Multiply 10 to both sides

\(10\cdot[\frac{5}{90}]=[\frac{m}{360}]\cdot10\)

10 and 90. Cancel the zeros. We are left with 9, so \(\frac{5}{9}\)

360 and 10. Cancel the zeros. We are left with 36, so \(\frac{m}{36}\)

So we have \(\frac{5}{9}=\frac{m}{36}\)

Step 2: Multiply 36 to both sides

\(\frac{36m}{36}=\frac{5\cdot \:36}{9}\)

\(20\)

Therefore, Goerge could walk 20 miles in 6 hours.

By using function notation, you should write an equation or expression for each statement as follows;

The temperature at 12 p.m ⇒ f(12).

The temperature was the same at 9 a.m. and at 4 p.m ⇒ f(9) = f(16).

It was warmer at 9 a.m. than at 6 a.m ⇒ f(9) > f(6).

Some time after midnight, the temperature was 24 degrees Celsius. ⇒ f(t) = 24.

In Mathematics, a function simply refers to a mathematical expression which can be used for defining and showing the relationship that exist between two or more variables in a data set.

This ultimately implies that, a function typically shows the relationship between input values (x-values or domain) and output values (y-values or range) of a data set, as well as showing how the elements in a table are uniquely paired (mapped).

For the statement, "The temperature was the same at 9 a.m. and at 4 p.m." we have:

4 p.m = 12 + 4 = 16

In function notation, we have:

f(9) = f(16) or f(16) = f(9)

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Answer:

3+3+6+5+3=20

Step-by-step explanation:

3+3=6

6+6=12

12+5=17

17+3=20

Answer:

(3x3)+6+5

Step-by-step explanation:

3 times 3 is 9

9 plus 6 is 15

15 plus 5 is 20

Answer: I think the answer is 5.3x + 1.7

Answer:

A. 17

Step-by-step explanation:

The angles are adjacent, meaning they are congruent. So you will set (5x + 6) equal to 91

(5x + 6) = 5x + 6

5x + 6 = 91

5x + 6 - 6 = 91 - 6

5x = 85

5x / 5 = 85 / 5

x = 17

Answer:

Answer 3.0/528 claudiasai 88-2n + 2927,25,23,21,19- 2 difference- 2n + 29-2 x (1 ) + 29 =27-2 x (3) +29 =23

Step-by-step explanation:

Write a recursive formula for each sequence. 3. 1, 6, 11, 16, ... SOLUTION: ... Check for a common ratio by dividing each term by the term that precedes it. = 3 ;. = 3 ; ... 19. 100, 80, 64, 51.2, ... SOLUTION: Subtract each term from the term that follows it. ... Patrick thinks that the sequence can be written as a recursive formula​.

Answer:

\(a_{n}\) = 27 - 8n

Step-by-step explanation:

There is a common difference between consecutive terms, that is

11 - 19 = 3 - 11 = - 8

This indicates the sequence is arithmetic with nth term

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 19 and d = - 8 , then

\(a_{n}\) = 19 - 8(n - 1) = 19 - 8n + 8 = 27 - 8n ← general rule

Answer:

2x - 13

Step-by-step explanation:

If x represents the greater number, then the other number is x - 13. The sum of these two numbers is:

x + (x - 13) = 2x - 13

The \(n\)-th term \((n\ge1)\) in the series is evidently

\(\dfrac{2n-1}{(2n-1)!} = \dfrac{2n-1}{(2n-1)(2n-2)!} = \dfrac1{(2n-2)!}\)

By the ratio test, the infinite series converges, since

\(\displaystyle \lim_{n\to\infty} \left| \frac{\frac1{(2(n+1)-2)!}}{\frac1{(2n-2)!}}\right| = \lim_{n\to\infty} \frac{(2n-2)!}{(2n)!} = \lim_{n\to\infty} \frac1{2n(2n-1)} = 0 < 1\)

daisy will received 30 on her 5th birthday

Answer:

x =8

Step-by-step explanation:

Answer:

112°

Step-by-step explanation:

The sum of the interior angles of a triangle is 180°

Let x = unknown angle

⇒ 34 + 34 + x = 180

⇒ 68 + x = 180

⇒ x = 180 - 68

⇒ x = 112°

Other angle be y

Apply angle sum property

\(\\ \rm\hookrightarrow 34+34+y=180\)

\(\\ \rm\hookrightarrow 2(34)+y=180\)

\(\\ \rm\hookrightarrow 68+y=180\)

\(\\ \rm\hookrightarrow y=112\)

Answer: 28

Step-by-step explanation:

Because BD ⊥ AC we can conclude that AB is equal to CB so we can set them equal to each other in an equation.

7x = 5x + 8

2x = 8

x = 4

Because X is 4 we can fill it into CB's expression.

5(4) + 8

20 + 8

28

Answer:

Cost of each cord = $7.5

Step-by-step explanation:

Given:

Discount rate = 30% = 0.30

Amount save by Lisa = $9

Number of charger = 4

Find:

Cost of each cord

Computation:

Total cost of 4 charger =  Amount save by Lisa[1/Discount rate]

Total cost of 4 charger =  9[1/0.30]

Total cost of 4 charger =  $30

Cost of each cord = Total cost of 4 charger / Number of charger

Cost of each cord = $30 / 4

Cost of each cord = $7.5