The lines graphed below show the amounts of water in two tanks as they
were being filed over time.

Which tank shows a proportional relationship between the amount of
water, in gallons, and the time, in minutes?

Answer:

20

Step-by-step explanation:

Answer:

2/10 = 20%

Step-by-step explanation:

Answer:

The answer is: D) 34

Answer:

Step-by-step explanation:

Answer:

d = 126, z = 28

Step-by-step explanation:

The angle with the variable is diagonal from the 105 degree angle. In this case, that means that they are equivalent. So, 105+21 = 126. d = 126 :)

Answer:

21

Step-by-step explanation:

2^3=8

7x6=42

42x8=336

336/ (10.6+5.4)

336/ 16= 21

Answer 21

Answer:

125.66cm

Step-by-step explanation:

Answer:

64.9 cm

Step-by-step explanation:

Area of a sector is

[tex]A=\pi r^{2} (\frac{angle}{360} )[/tex]

r is 8 and the angle measure is 120

[tex]A=\pi 8^{2} (\frac{120}{360} )\\A=62\pi (\frac{120}{360} )\\A=64.93[/tex]

or 25.5 inches ? The question has the radius measured in cm, but asks for the answer in inches. So depending on how the actual question is worded, the answer will change.

64.9cm is equal to about 25.5 inches

Answer:

By the Central Limit Theorem, the distribution of ¯ x is approximately normal with mean 187 and standard deviation 2.05.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes 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.

The lengths of adult males' hands are normally distributed with mean 187 mm and standard deviation is 7.1 mm.

This means that [tex]\mu = 187, \sigma = 7.1[/tex]

Suppose that 12 individuals are randomly chosen.

This means that [tex]n = 12, s = \frac{7.1}{\sqrt{12}} = 2.05[/tex]

What is the distribution of ¯ x?

By the Central Limit Theorem, the distribution of ¯ x is approximately normal with mean 187 and standard deviation 2.05.

9514 1404 393

Answer:

  no

Step-by-step explanation:

Put 2 where x is and see if you get a true statement.

  1/2(2) -4 = 5

  1 -4 = 5

  -3 = 5 . . . . . . False

2 is not a solution to the equation.

__

The solution is x=18.

Answer:

need more information to answer the question

Answer:

$14400

Step-by-step explanation:

Given data

Principal= 6000

Time= 14 years

Rate= 10%

Let us use the simple interest expression to find the final amount

A=P(1+rt)

substitute

A=6000(1+0.1*14)

A=6000(1+1.4)

A=6000*2.4

A=$14400

Hence based on a simple interest model the final amount is $14400

Answer:

This is the order:

1. 3x

2. 3x + 8

3. x^2

4. x^2 + 6

5. 4^x

6. 4^x + 3

(I numbered them only so it would be easier to refer to them)

Step-by-step explanation:

Why is Equation #2 greater than Equation #1?

This is because the equations are the same, except that the second equation is shifted up by eight units. This means that its value is always going to be eight units greater.

This same reasoning applies to Equations 3&4 and 5&6.

Why is Equation #3 greater than Equation #2?

This is because a certain value multiplied by three (even with eight added) will soon be overtaken by that value squared. For example, let's make x= 5

3(5) + 8 = 23

(5)^2 = 25

As you can see, the equation x^2 is already greater in value than 3x + 8.

Why is Equation #5 greater than Equation #4?

This is because a certain value squared will soon be overtaken by 4 to the power of that value. For example, let's make x= 2

(2)^2 + 6= 10

4^2 = 16

As you can see, the equation 4^x is already greater in value than x^2 + 6.

Hope this helps! :)

Answer:

1. 3x

2. 3x + 8

3. x^2

4. x^2 + 6

5. 4^x

6. 4^x + 3

Step-by-step explanation:

Answer:

≈ 0.52

Step-by-step explanation:

P( head ) = 2/3 , P( tail ) = 1/3

when a head is tossed ; Gambler A wins $1

when a tail is tossed : Gambler B wins $1

Determine the P( Gambler A wins the game ) if he starts with I dollars

Assuming I = $1

n = 5

p ( head ) = P( winning ) = 0.66

p( losing ) = 0.33

applying the conditional probability in Markov which is ;

Pₓ = pPₓ₊₁ + (1 - p) Pₓ₋₁

P( 1) = 0.66P₂ + 0.33P₀

resolving the above using with Markov probability

P( 1 ) = 0.51613

hence the probability of Gambler A winning the game if he starts with $1

≈ 0.52

Answer: = 6

Step-by-step explanation: Hope this help :D

Answer:

We reject the Null and conclude that at α = 0.1, the is enough evidence to support th claim that miles per gallon has improved between 2017 and 2019

Step-by-step explanation:

This is a paired t test:

H0 : μx - μy = 0

H1 : μx - μy > 0

The test statistic :

dbar / (Sd/√n)

d = Xi - Yi

d = 2.4, 0.3, 1.7,3,-0.2, 1.1, -0.5, -3.2, 1.4, 2, 1.6, 2.2

dbar = Σd / n = 11.8 / 12 = 0.983

Sd = Σ(d - dbar)²/ (n - 1) = 1.685 (calculator)

Hence,

Test statistic = 0.983 / (1.685/√12)

Test statistic = 0.983 / 0.4864176

= 2.021

Using the test statistic score, we could obtain the Pvalue using the Pvalue FROM Tscore calculator :

Degree of freedom, df = n - 1 = 12 - 1 = 11

Pvalue(2.021, 11) = 0.03415

α = 0.1

Pvalue < α ; We reject the Null and conclude that at α = 0.1, the is enough evidence to support th claim that miles per gallon has improved between 2017 and 2019

9514 1404 393

Answer:

  B.  3.5

Step-by-step explanation:

The given range is 20 ± 7. The empirical rule tells you 95% of scores will fall within μ ± 2σ. We know μ = 20, so 2σ = 7. That is σ = 7/2 = 3.5.

The standard deviation is 3.5.

Answer:

1. (multiple choice) 5

2. (written answer) 3 hrs

Step-by-step explanation

who asked the question but they put two different questions on top of eachother. anyways, the answers are right, I just did them on edge and came back to help

Answer:

3 hours

Step-by-step explanation:

It's an important part of weather reports because it indicates the likelihood of precipitation, dew, or fog.

Answer:

its important because is part of the weather changes and climate temperatures

Answer:

117

Step-by-step explanation:

=(3)×[19+{15+8-3}]

=3×[19+{23-3}]

=3×[19+20]

=3×39

=117

Answer:

0.2835 = 28.35% probability that exactly two of them require warranty repairs.

Step-by-step explanation:

For each TV, there are only two possible outcomes. Either they require warranty repairs, or they do not. The probability of a TV requiring warranty repairs is independent of any other TV, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

10% require repair to be done under the warranty during the first year service.

This means that [tex]p = 0.1[/tex]

A particular dealership sells 18 such TV per week.

This means that [tex]n = 18[/tex]

a) What is the probability that exactly two of them require warranty repairs?

This is [tex]P(X = 2)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{18,2}.(0.1)^{2}.(0.9)^{16} = 0.2835[/tex]

0.2835 = 28.35% probability that exactly two of them require warranty repairs.

Answer:

[tex]f(x) =3 * (4)^x[/tex]

Step-by-step explanation:

Given

[tex](x_1, y_1) = (1,12)[/tex]

[tex](x_2, y_2) = (0,3)[/tex]

Required

The function of the graph (exponential function)

An exponential function is represented as:

[tex]f(x) = ab^x[/tex]

For [tex](x_1, y_1) = (1,12)[/tex], we have:

[tex]12 = a * b^1[/tex]

[tex]12 = a * b[/tex]

[tex]12 = a b[/tex]

For [tex](x_2, y_2) = (0,3)[/tex]

[tex]3 = a * b^0[/tex]

[tex]3 = a * 1[/tex]

[tex]3 = a[/tex]

[tex]a = 3[/tex]

Substitute: [tex]a = 3[/tex] in [tex]12 = a b[/tex]

[tex]12 = 3 * b[/tex]

Divide both sides by 3

[tex]4 = b[/tex]

[tex]b =4[/tex]

So, we have:

[tex]f(x) = ab^x[/tex]

[tex]f(x) =3 * (4)^x[/tex]

Completion of question:

The Demon Drop at Cedar point in Ohio takes riders to the top of the tower and drops them 60 feet. A function that approximates this ride is h=-16^t2 + 64t + 60 where h is the height in feet and t is the time in seconds. About how many seconds does it take for riders to drop to the ground?

Answer:

4.78 s

Step-by-step explanation:

Given the equation :

h = - 16^t2 + 64t + 60

Using the quadratic formula ; where

a = - 16 ; b = 64 ; c = 60

Dropping to the ground, h = 0

16^t2 + 64t - 60 = 0

-b ± (√b²- 4ac) / 2a

-64 ± (√64²- 4(-16)(60)) / 2(-16)

-64 ± (√7936) / - 32

(-64 ± 89.08) / - 32

(-64 + 89.08) / - 32 = - 0.783 OR

(-64 - 89.08) / - 32 = 4.78

Reject the negative

t = 0.783 seconds

Answer:

3(x-9)=40

Step-by-step explanation:

Because distributive property is when you doe something that is in parenthesis. and it's in parenthesis.

Answer:

52 in^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

3h<-12

Answer:

3h [tex]\geq[/tex] -12

Step-by-step explanation:

"3 multiplied by a number h" = 3h // "Is at least" = [tex]\geq[/tex] // -12 = -12

Combine these and you get 3h [tex]\geq[/tex] -12

Answer: 28.4

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Basically count each doubt that is on the number line with a value greater than 450

Answer:

11 trouts

Step-by-step explanation:

Count the dots that are after the 450-gram mark.

Trouts that weigh 452 = 5

Trouts that weigh 454 = 2

Trouts that weigh 456 = 2

Trouts that weigh 458 = 1

Trouts that weigh 460 = 1

Then, add everything up.

5 + 2 + 2 + 1 + 1 = 11

So, 11 trouts weigh more than 450 grams.

Have a wonderful day!

Answer:

n=-559

Step-by-step explanation:

Answer:

n=-559

Step-by-step explanation:

you need to get n by itself so you subtract 184 from both side n=-375-184 then simplify it to n= -559 leaving you with the answer.

hope this helped