Question 24 of 25 If f(x) = 3* + 10 and g(x) = 2x - 4, find (f+9). O A (f+g)(x) = 5x + 6 B. (f+g)(x) = 3x - 2x+14 O C. (f+ g)(x) = 3* + 2x + 6 O D. (f+ g)(x) = -3% - 2x - 14​

Answer: whole number is 5 and remainder is 2

Step-by-step explanation:

six goes into 32 5 times to get 30

32-30=2

Answer:

Explained below.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

[tex]\mu_{\hat p}=p[/tex]

The standard deviation of this sampling distribution of sample proportion is:

[tex]\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}[/tex]

A random sample of n = 658 items is sampled randomly from this population.

As the sample size is large, i.e. n = 658 > 30, the Central limit theorem can be applied to approximate the sampling distribution of sample proportion by a Normal distribution.

Compute the mean and standard deviation as follows:

[tex]\mu_{\hat p}=0.61\\\\\sigma_{\hat p}=\sqrt{\frac{0.61(1-0.61)}{658}}=0.019[/tex]

(a)

Compute the probability that the sample proportion is greater than 0.63 as follows:

[tex]P(\hat p>0.63)=P(\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}>\frac{0.63-0.61}{0.019})\\\\=P(Z>1.05)\\\\=1-P(Z<1.05)\\\\=1-0.85314\\\\=0.14686\\\\\approx 0.1469[/tex]

(b)

Compute the probability that the sample proportion is between 0.60 and 0.66 as follows:

[tex]P(0.60<\hat p<0.66)=P(\frac{0.60-0.61}{0.019}<\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}<\frac{0.66-0.61}{0.019})\\\\=P(-0.53<Z<2.63)\\\\=P(Z<2.63)-P(Z<-0.53)\\\\=0.99573-0.29806\\\\=0.69767\\\\\approx 0.6977[/tex]

(c)

Compute the probability that the sample proportion is greater than 0.592 as follows:

[tex]P(\hat p>0.592)=P(\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}>\frac{0.592-0.61}{0.019})\\\\=P(Z>-0.95)\\\\=P(Z<0.95)\\\\=0.82894\\\\\approx 0.8289[/tex]

(d)

Compute the probability that the sample proportion is between 0.57 and 0.60 as follows:

[tex]P(0.57<\hat p<0.60)=P(\frac{0.57-0.61}{0.019}<\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}<\frac{0.60-0.61}{0.019})\\\\=P(-2.11<Z<-0.53)\\\\=P(Z<-0.53)-P(Z<-2.11)\\\\=0.29806-0.01743\\\\=0.28063\\\\\approx 0.2806[/tex]

(e)

Compute the probability that the sample proportion is less than 0.51 as follows:

[tex]P(\hat p<0.51)=P(\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}<\frac{0.51-0.61}{0.019})\\\\=P(Z<-5.26)\\\\=0[/tex]

Answer:

What is the question?

Step-by-step explanation:

I'll see if I ca help

Answer:

yeha i would be happy to help but wheres the qoution i will wdit my answer and give you answer of your quotion

Answer:

x = 8

Step-by-step explanation:

-10x+6=-74

-10x=-74-6

-10x=-80

x=-80/-10

x=8

Answer:

The answer is x=8

Step-by-step explanation:

If you need me to explain let me know

Answer:

Exact Form: 5/28

Decimal Form: 0.17857

Answer:

x+2

Step-by-step explanation:

Use any letter for a variable. X is the most common.

let's say x is Jameson. To show he got 5 more, add x by 5

x+5

Hope this helps

Answer:

2+n=?

Step-by-step explanation:

Because we do not know the amount Jared gave him and we do not know the total amount either.

Answer:

[tex]-\frac{11}{6} , \frac{5}{6}[/tex]

The equation has two solutions.

Answer:

19

Step-by-step explanation:

He gets 6 wrong and 19 correct

Answer:

108 blocks.

Step-by-step explanation:

Joe's grandmother lives 36 blocks away from Joe.

Joe rode two thirds of the way to the house is 2/3 * 36= 24 blocks.

Then he rode back to his house (1 - 2/3) * 36= 12 blocks.

Then Joe rode back to grandma's house= 36 blocks.

Then he rode straight home= 36 blocks.

Total number of blocks he rode is 24+12+36+36= 108 blocks.

Answer:

Alice's salary is 1.56 times Wally's salary

Step-by-step explanation:

Let Wally's salary = x

Alice's salary = x + 56% of x

                     = x + 0.56x

                    = 1.56x

                    = 1.56 * Wally's salary

Answer:b

Step-by-step explanation:

Answer:

Group A is a Control Group

Step-by-step explanation:

Answer:

(-6,-6) I think that A is correct

Answer:

y= 11x -5

Step-by-step explanation:

Answer:

9 or more

Step-by-step explanation:

the simplified form of (3x²y³/z³)³ is 27 * x⁶ * y⁹ / z⁹. the correct option is A

To simplify the expression (3x²y³/z³)³, we need to apply the power of a power rule. In this rule, we raise each term inside the parentheses to the power outside the parentheses.

So, let's simplify step by step:

(3x²y³/z³)³ = 3³ * (x²)³ * (y³)³ / (z³)³

Simplifying further:

3³ = 27

(x²)³ = x²⁽³⁾ = x⁶

(y³)³ = y³⁽³⁾ = y⁹

(z³)³ = z³⁽³⁾ = z⁹

Combining all the simplified terms, we have:

27 * x⁶ * y⁹ / z⁹

Therefore, the simplified form of (3x²y³/z³)³ is 27 * x⁶ * y⁹ / z⁹. the correct option is A. This expression represents the original expression after raising each term inside the parentheses to the power of 3 and combining them into a single term.

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Step-by-step explanation:

a)P( a customer has to wait more than 4 minutes )=P(X>4)=e-4/2.5 =0.202

b)probability that a customer is served within the first minute =P(X<1)=1-e-1/2.5 =0.3297

c) here 99th percentile corresponding value =-2.5*ln(1-0.99)=11.51 minutes ~ 12minutes

Answer:

a) 0.2018

b)0.329

c)x=5

Step-by-step explanation:

We are given that This process can be described using an exponential probability density function with a mean of 2.5.

So, [tex]\lambda = 2.5[/tex]

[tex]f(x)=\frac{1}{\lambda}e^{-\frac{1}{\lambda} x}[/tex]

Where x>0 , [tex]\lambda[/tex] > 0

a) Find the probability that a customer has to wait more than 4 minutes.

[tex]P(X>4)=\frac{1}{\lambda} \int\limits^{\infty} _{4} {e^{\frac{-1}{\lambda} x} \, dx[/tex]

[tex]P(X>4)=1-(1-e^{\frac{-4}{\lambda}})\\P(X>4)=e^{\frac{-4}{2.5}}\\P(X>4)=0.2018[/tex]

b)Find the probability that a customer is served within the first minute.

[tex]P(0<x<1)=1-e^{\frac{-1}{2.5}}=0.329[/tex]

c)The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she doesn't want to give away free hamburgers to more than 1% of her customers. What number of minutes should the advertisement use?

[tex]P(X>x) \leq 0.01\\e^{\frac{-x}{2.5}} \leq 0.01\\\frac{-x}{2.5} \leq log (0.01)\\x=-2.5 \times log (0.01)\\x=5[/tex]

Answer:

3) Trapezoid

It has 4 sides and 2 of the sides are parallel

Answer:

A rhombus

Step-by-step explanation:

The definition of parallel lines is two or more lines that never intersect, are on the same plane, and are the same distance apart no matter what point you measure from.  The sides of a rhombus are parallel and the top and bottom of the shape are parallel to each other.

Answer: 5.3125

Step-by-step explanation: To convert a mixed number to a decimal, first you’ll have to drop the 5. Next, convert 5/16 to a decimal by dividing 5.000 by 16, which is 0.3125. Lastly, add 5 and 0.3125 to get a final answer of 5.3125.

Answer:

The solution of the system of equations will be:

[tex]y=-12,\:x=-3[/tex]

Step-by-step explanation:

Given the system of equations:

[tex]\begin{bmatrix}y-2x=-6\\ y-4x=0\end{bmatrix}[/tex]

Isolate [tex]y[/tex] for [tex]y-2x=-6[/tex], [tex]y=-6+2x[/tex]

[tex]\mathrm{Subsititute\:}y=-6+2x[/tex]

[tex]\begin{bmatrix}-6+2x-4x=0\end{bmatrix}[/tex]

[tex]\begin{bmatrix}-6-2x=0\end{bmatrix}[/tex]

Isolate x for [tex]-6-2x=0[/tex], [tex]x=-3[/tex]

[tex]\mathrm{For\:}y=-6+2x[/tex]

[tex]\mathrm{Subsititute\:}x=-3[/tex]

[tex]y=-6+2\left(-3\right)[/tex]

[tex]y=-12[/tex]

Therefore, the solution of the system of equations will be:

[tex]y=-12,\:x=-3[/tex]

Answer:

He deposited $100

Step-by-step explanation:

67 + 33 = 100

Hope this helps! Please mark brainliest!

Answer:

Step-by-step explanation:

The equation for the line in slope-intercept form will be y = 10x + 20.

Given is that Marissa's dance studio charges a monthly fee, plus a fixed amount per class.

Assume that the equation of the line in the slope - intercept form as -

y = mx + c

At [x] = 0, [y] = 20.

So, the [y] intercept will be -

[c] = 20.

and slope of the line will be -

m = (40 - 30)/(2 - 1)

m = 10/1

m = 10

So the equation will be -

y = 10x + 20

Therefore, the equation for the line in slope-intercept form will be y = 10x + 20.

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Answer:

• $19.26

Step-by-step explanation:

Answer:

19.26

Step-by-step explanation:

Explanation

7% = 7/100 = 0.07

1 in formula before represents the 18 dollars.

Formula

18*(1 +  7/100)

18 (1 + 0.07)

18(1.07)

19.26

She will have to pay 19.26 dollars.

Answer:

The reasons and the statements are given as follows;

1. Parallelogram ABCD             [tex]{}[/tex]                 Given

2. BT = TD            [tex]{}[/tex]                 Diagonals of parallelogram bisect each other

3. ∠1 = ∠2            [tex]{}[/tex]                  Vertically opposite angles

4. BC ║ AD             [tex]{}[/tex]               Definition of parallelogram

5. ∠3 = ∠4            [tex]{}[/tex]                  If lines are parallel then alternate interior

                                               angles are equal

6. Triangle BET congruent to Triangle DFT by ASA

7. ET = T_F             [tex]{}[/tex]                  CPCTE

Step-by-step explanation:

Statement             [tex]{}[/tex]                 Reason

1. Parallelogram ABCD          The given quadrilateral

2. BT = TD Based on the properties of a parallelogram, the parallelogram diagonals bisect each other

3. ∠1 = ∠2  Vertically opposite angles formed by two intersecting lines are equal

4. BC ║ AD By definition, the opposite sides of a parallelogram are parallel

5. ∠3 = ∠4  Based on the property of equality of the alternate interior angles of two parallel lines

6. Triangle BET congruent to Triangle DFT by Angle-Side-Angle rule of congruency

7. ET = T_F by Congruent Parts of Congruent Triangles are Equal, CPCTE, postulate.

The reasons that matches the statements in the two-column proof is shown in the table attached in the image below.

Recall:

Given parallelogram ABCD, and also, we know that EF contains T, to prove that ET = FT, establish that:

ΔBET ≅ ΔDFT by the ASA Congruence Theorem, then demonstrate that ET = FT by the CPCTE Theorem.

Therefore, the reasons that matches the statements in the two-column proof is shown in the table attached in the image below.

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Answer:

x=1

Step-by-step explanation:

1+1-1=1

1+1=2

2=1=1

Answer:

[tex]x=Any\ real\ number[/tex]

Step-by-step explanation:

[tex]x+1-x=1\\1=1\\As\ x\ just\ gets\ canceled\ x\ can\ take\ any\ real\ values.[/tex]

Answer:

The rate of change in the submarine's elevation is 26.0 feet per second.

Step-by-step explanation:

She begins 151 feet below sea level

Thus, her initial point is y₁ = 151 feet below sea level

i.e. at t₁=0 seconds, y₁ = 151 feet below sea level

After descending for the 3 seconds, she is 229 feet below sea level.

Thus, her second point is y₂ = 229 feet below sea level after 3 seconds

i.e. at t₂=3 seconds, y₂ = 229 feet below sea level

The rate of change is basically the slope. Thus, the rate of change can be obtained by taking the slope.

slope = rate of change = (y₂ - y₁)/(t₂ - t₁)

                                      = (229 - 151) / (3 - 0)

                                       = 78/3

                                       = 26.0

Therefore, the rate of change in the submarine's elevation is 26.0 feet per second.

Answer: x2+3x−4

Step-by-step explanation: there is no like terms

Answer:

5x-4: x2+3x-4

2x+3x-4

5x-4