What is the vertex of the graph of
y = 2(x + 6)^2 – 2?
O A. (2.6)
O B. (-6,2)
O C. (-6, -2)
O D. (6,-2)​

Answer:

7 hours and 15 minutes

Step-by-step explanation:

8 - 3/4 = 7 1/4 hours

Answer:

x+56

Step-by-step explanation:

The product of two numbers is the result you get when you multiply them together. And refers to addition.

Hi there!

[tex]\large\boxed{y = 12, x = 3}[/tex]

The two trapezoids are similar, so we can determine a common scale factor:

OL/UR = NM/TS

9/3 = 6/2

3 = 3

Trapezoid ONML is 3x larger than UTSR, so:

RS = 4, LM = y

3RS = LM

3 · 4 = y = 12.

Find x using the same method:

3UT = ON

3(2x+1) = 4x + 9

6x + 3 = 4x + 9

2x = 6

x = 3.

Answer:

938 millibars

Step-by-step explanation:

please mark me as brainlist..

Answer:

Every book is 8 dollars but you have to subtract 10, so like this:

Step-by-step explanation:

p(x) = 8x - 10 Lets say you sell 2 books

p(2) = 8(2) - 10

p(2) = 16 - 10

p(2) = 6  You would make 6 dollars.

Answer:

Step-by-step explanation:

cos θ=8/17

sin θ=√(1-cos²θ)=√(1-(8/17)²)=√(1-64/289)=√((289-64)/289)=√(225/289)=15/17

Answer:

a) 0.1496 = 14.96% probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day.

b) Capacity of 252.6 cubic feet per second

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 100 cfs (cubic feet per second).

This means that [tex]m = 100, \mu = \frac{1}{100} = 0.01[/tex]

(a) Find the probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimal places.)

We have that:

[tex]P(X > x) = e^{-\mu x}[/tex]

This is P(X > 190). So

[tex]P(X > 190) = e^{-0.01*190} = 0.1496[/tex]

0.1496 = 14.96% probability that the demand will exceed 190 cfs during the early afternoon on a randomly selected day.

(b) What water-pumping capacity, in cubic feet per second, should the station maintain during early afternoons so that the probability that demand will exceed capacity on a randomly selected day is only 0.08?

This is x for which:

[tex]P(X > x) = 0.08[/tex]

So

[tex]e^{-0.01x} = 0.08[/tex]

[tex]\ln{e^{-0.01x}} = \ln{0.08}[/tex]

[tex]-0.01x = \ln{0.08}[/tex]

[tex]x = -\frac{\ln{0.08}}{0.01}[/tex]

[tex]x = 252.6[/tex]

Capacity of 252.6 cubic feet per second

Answer:

Step-by-step explanation:

C

Answer:

650,000,000 student ID numbers are possible if the letters cannot be repeated.

Step-by-step explanation:

The order in which the digits or letters are placed is important, which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

2 letters from a set of 26(permutations, as letters cannot be repeated).

6 digits, each with 10 possible outcomes.

How many student ID numbers are possible if the letters cannot be repeated?

[tex]T = 10^6 \times \frac{26!}{24!} = 650000000[/tex]

650,000,000 student ID numbers are possible if the letters cannot be repeated.

Answer:

Step-by-step explanation:

The late but fast train traveled for 2 hours while the slow but early train traveled for 6 hours.

              SPEED       TIME     DISTANCE

SLOW EARLY       r           6          d

FAST LATE      r+124         2          d

Catchup means each train traveled equal distance

Answer:

75%

Step-by-step explanation:

[tex] \frac{27}{36} \times 100\%[/tex]

Answer:

The Standard Deviation is a measure of how spread out numbers are.

Its symbol is σ (the greek letter sigma)

The formula is easy: it is the square root of the Variance. So now you ask, "What is the Variance?"

Variance

The Variance is defined as:

The average of the squared differences from the Mean.

To calculate the variance follow these steps:

Work out the Mean (the simple average of the numbers)

Then for each number: subtract the Mean and square the result (the squared difference).

Then work out the average of those squared differences. (Why Square?)

Step-by-step explanation:

Answer:

3.5 x 8 = 28 in²

Answer:

do you have a photo of the figure?

Answer:

13 units

Step-by-step explanation:

Answer:

v = 196.25

Step-by-step explanation:

v = 3.14*r^2*h

v = 3.14*5^2*2.5

v = 196.25

Answer:

35 and 13

Step-by-step explanation:

Sum: 35 + 13 = 48

Difference: 35 - 13 = 22

From the passage given, it can be deduced that the thing that surprised Monique when Priya came was B. Priya is by herself.

From the information given in the passage, it can be deduced that Monique was a cool person who doesn't like noise.

She was alone with her bottle of water when Priya came to her. Normally, Priya was the star of the girl's swim team and always had people around her. On this occasion, she was alone by herself and this surprised Monique.

Learn more about passages on:

https://brainly.com/question/25950911

Answer

Step-by-step explanation:

priya is by herself

Answer:

1/8

Step-by-step explanation:

   (5/6) × (3/20)

=  (5*3) / (6*20)

= 15/120

= 3/24

= 1/8

A sample size of approximately 9909 components is needed to estimate the true proportion of defective components within 2.5 percentage points with 99% confidence.

To estimate the true proportion of defective components with a desired level of confidence and precision, we can use the formula for sample size determination in a proportion estimation problem.

The formula is given by:

n = (Z²  p  (1-p)) / E²

Where:

- n is the required sample size,

- Z is the Z-value corresponding to the desired confidence level (in this case, 99% confidence),

- p is the estimated proportion of defective components from the initial sample (20/300 = 0.0667),

- (1-p) is the estimated proportion of non-defective components,

- E is the desired margin of error (2.5 percentage points = 0.025).

Determine the Z-value corresponding to a 99% confidence level. The Z-value can be obtained from a standard normal distribution table or using statistical software. For a 99% confidence level, the Z-value is approximately 2.576.

Substitute the values into the formula:

n = (2.576² * 0.0667 * (1-0.0667)) / (0.025²)

n = (6.641 * 0.9333) / 0.000625

n = 6.194 / 0.000625

n ≈ 9908.8

Therefore, a sample size of approximately 9909 components is needed to estimate the true proportion of defective components within 2.5 percentage points with 99% confidence.

More can be learned about proportions at;

brainly.com/question/24372153

#SPJ4

Answer:

I need help in math too so

Answer:

120 units²

Step-by-step explanation:

A= [tex]\frac{a+b}{2}[/tex]×h

A= [tex]\frac{15+15}{2}[/tex]×8

A= [tex]\frac{30}{2}[/tex]×8

A= 15×8

A= 120

Answer:

Her total harvest over the

first 5 years that she owns the farm is 11277 kg

Step-by-step explanation:

Maggie is starting a small farm. In her first year, she harvests 90.000 kilograms of kale.

As she gets better at planting, fertilizing and pest control,

each year her harvest increases by 3%.

So,

In First year

She owns 90,000 kg

In Second year

She owns 90,000 kg and her harvest is increases by 3%.

i.e.,

90000 × 3 ÷ 100 = 2700

So, The increase in 90,000 kg kale is 2,700

Now,

90,000 + 2,700 = 92,700 kg

In Third year

She owns 92,700 kg and her harvest is increases by 3%.

i.e.,

92700 × 3 ÷ 100 = 2781

So, The increase in 92,700 kg kale is 2781

Now,

92,700 + 2,781 = 95,481 kg

In Fourth year

She owns 95,481 kg and her harvest is increases by 3%.

i.e.,

95481 × 3 ÷ 100 = 2846

So, The increase in 95,481 kg kale is 2846

Now,

95,481 + 2,846 = 98,345 kg

In Fifth year

She owns 98,354 kg and her harvest is increases by 3%.

i.e.,

98354 × 3 ÷ 100 = 2950

So, The increase in 98354 kg kale is 2950

Now,

98354 + 2950 = 101,295 kg

Now,

In First five years She owns

2700 + 2781 + 2846 + 2950 = 11277 kg

Thus, her total harvest over the first 5 years that she owns the farm is 11277 kg

-TheUnknownScientist

Answer:

An equation in standard form is -x^2-15=0.

Step-by-step explanation:

-x^2=15

-x^2-15=0

ax^2+bx+c=0

-x^2-15=0

Answer:

1. 16

2. 36.62 in

Step-by-step explanation:

For the first one:

If you don't want to read the explanation go to the next section in bold

We are told that the triangles are similar.

We are told that the side lengths of the smaller triangle measure 7,4 and 9

And we are told that the longest side of the similar triangle measures 36

Given this information we need to find the other side lengths.

Because the triangles are similar each side length will share similar ratios. Note that the ratios must be between the two longest side, the two medium length sides and the two shorter sides

Because we are given the longest side length of the similar triangle and the longest side length of the smaller triangle we can set up a proportion to find the other side lengths.

The proportion can be found by dividing the longest side length of the larger triangle (36) by the longest side length of the smaller triangle (9)

proportion = [tex]\frac{36}{9} or4[/tex]

So the ratio to the side lengths of the triangle is 4 to 1

Now that we have created a proportion we can find the other side lengths.

Once again this information is not needed. If you don't want to read it go to the next section in bold.

For the medium length side:  [tex]\frac{4}{1} =\frac{x}{7}[/tex] ( remember x = missing side length)

multiply each side by 7

4 * 7 = 28

x/7 * 7 = x

x = 28

For the shorter side: [tex]\frac{4}{1} =\frac{x}{4}[/tex] ( once again x = missing side length )

multiply each side by 4

4 * 4 = 16

x/4 * 4 = x

x = 16

So we can conclude that the side length of the shortest side is 16

For the second one

This problem is like the other one.

The only difference is we are already given the ratio

( note that the ratio is width to height )

16 : 9

Given the proportion and the height (20.6) of the other flat screen tv we need to find the width

To do so we set up an equation using the ratio:

let x = width

[tex]\frac{16}{9} =\frac{x}{20.6}[/tex]

using cross multiplication

16 * 20.6 = 329.6

9 * x = 9x now we have 9x = 329.6

step 2 divide each side by 9

9x / 9 = x

329.6/9 = 36.62

we're left with x = 36.62

Meaning that the width of the other flat screen tv is 36.62 in

Answer:

34

Step-by-step explanation:

Step-by-step explanation:

so fill in 88 where the x is so

y = 0.9 (88) - 1

y = 78.2

Answer:

The midpoint of this line segment is (-1.5, -4.5).

Step-by-step explanation:

In finding the midpoint of a line segment we are actually averaging the x- and y-coordinates of the endpoints:

                                             -2 -1

x-coordinate of midpoint = --------- = -3/2 = -1.5

                                                 2

                                              -4 -5

y-coordinate of midpoint = ---------- = -4.5

                                                   2

The midpoint of this line segment is (-1.5, -4.5).

Answer:

b

Step-by-step explanation: