What is the value of x? Enter your answer in the box.

The equation formed after the transformations is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

The parent function in this problem is defined as follows:

\(f(x) = \sqrt{x}\)

For the vertical shrink by a factor of 1/6, the function is multiplied by 1/6, hence it is given as follows:

\(g(x) = \frac{1}{6}\sqrt{x}\)

For the translation left 3 units, we have that x -> x + 3, hence:

\(g(x) = \frac{1}{6}\sqrt{x + 3}\)

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The statement that is not consistent with the display of the graphs of the z-distribution and of the z-distribution is given as follows:

The critical value for the t-distribution with this degrees of freedom will be less than 0.68.

The graph shows two curves, given as follows:

The z-distribution curve is more centered around the mean, meaning that most it's sample means will be closer to the mean than for the t-distribution.

Along the tails, the t-distribution curve is higher, meaning that it has a higher percentage of sample means around the tails and a higher critical value.

The critical value of 0.68 is for values one standard deviation for the mean for the z-distribution, while for the t-distribution it is higher, hence it is the false statement.

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Answer:

g(x) + 4 = x

g(x) = x - 4 which is probably the answer you should submit.

Step-by-step explanation:

Givens

f(x) = x

g(x) +4 = f(x)  

Comment

f(x) and g(x) are forms of y or z. What they mean is that whatever x is on the left, it will be make the same on the right. It is just a short hand to help you in defining the y value.

If you want to move down, The y value is the one to notice. Notice that it is not intuitive. If you want to go down the sign on y + 4 = x is the equation you use. It is the exact opposite of what you think it should be. The graph below should help you.

The red line is f(x)  = x

The blue line is g(x) + 4 = x.

The blue line can be written as g(x) = x - 4 which would be more inetuitive.

The margin of error for the 90% confidence interval is 3.

To find the margin of error for a 90% confidence interval, we can use the formula:

Margin of Error = (Upper Limit - Lower Limit) / 2

Given the confidence interval (72, 78), where 72 is the lower limit and 78 is the upper limit, we can substitute these values into the formula to calculate the margin of error.

Margin of Error = (78 - 72) / 2

Margin of Error = 6 / 2

Margin of Error = 3

Consequently, the 90% confidence interval's margin of error is 3.

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Answer:

Oldest to newest:

10^-35, 10 ^-10, 0

Step-by-step explanation:

Scientific notation

To figure out the power of 10 think "how many places do I move the decimal point?"

When the number is 10 or greater the decimal point moves to the left, and the power of 10 is positive.

When the number is smaller than 1 the decimal point moves to the right, so the power of 10 is negative.

Answer:

The selection of the two marbles are dependent because the selection of the pink marble changes the probability that a green marble is drawn next.

If the pink marble had been put back into the bag, the selection of the two marbles would have been independent

======================================================

Explanation:

The key phrase to focus on here is "This marble is placed on a table". It implies that we do not put it back into the bag, and also implies we don't put in a replacement either. Hence we consider this scenario as "no replacement".

In no replacement situations, we always have dependent events. The second selection depends on the first one.

The probability of picking green is 6/11 because there are 6 green out of 5+6 = 11 total. But if we picked a pink one first and didn't put it back, then the 11 drops to 10 and we get 6/10 = 3/5 as the new probability.

In other words,

Because this probability changes, it's sufficient evidence to say the event of picking green on the second selection is dependent on the first selection of selecting pink.

If the marble had been put back, then we'd revert back to the original state of the bag. That would mean the chances of green would stay at 6/11. Therefore, situations with replacement lead to independent events.

Answer:

<UST = 66 degrees

Step-by-step explanation:

<RST - <RSU = <UST

121 - 55 = 66

Answer:

The weight that does not round to 2.46 pounds is C 2.454 pounds.

Step-by-step explanation:

Based on the given information, the weights of the four similar packs of tomatoes are as follows:

Malcolm rounds the weights to the nearest hundredth pound. To round to the nearest hundredth pound, we look at the digit in the hundredths place. If it is 5 or greater, we round up the digit in the tenths place. If it is less than 5, we leave the digit in the tenths place as it is. Therefore, we can obtain the rounded weights as follows:

From the above rounded weights, we see that Pack C rounds to 2.45 pounds and does not round to 2.46 pounds. Therefore, the weight that does not round to 2.46 pounds is C 2.454 pounds.

Answer:

1

Hope I helped

Answer:

3h33j333jj3

Step-by-step explanation:b3n3n3nn3n33

Answer:

486 square inches

Step-by-step explanation:

Answer: Show the table

Step-by-step explanation:

SHow the table

Answer: x= 3500+ x^2

Step-by-step explanation:

x^2 is the formula for an exponential number. Add 3500 because that’s what you started with and then just add x^2

Answer:

y = 4 - 4x

Step-by-step explanation:

Step 1: Write equation

12x + 3y = 12

Step 2: Subtract 12x on both sides

3y = 12 - 12x

Step 3: Divide both sides by 3

y = 4 - 4x

Answer:

12x + 3y = 12

3y=12-12x

y=(12-12x)/3=3(4-4x)/3=4-4x

P Q P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q

T T T T T F F F F F T    T

F T T F F T T T T T F    F

P F T F F T T T T T F     F

-P T T F F T T T T T F     F

-Q T T T T F T F F F T     T

-P V -Q T T F F T T T T T F

-P -> Q T T F F T T T T T F

-P -> -Q T T F F T T T T T F

P <-> Q T T T T F T T T T F

Here is a more detailed explanation of how I filled out the table:

P | Q : This column is simply the truth value of P and Q. If P and Q are both true, then the entry in this column is T. If P is true and Q is false, then the entry in this column is F. If P is false and Q is true, then the entry in this column is F. And if P and Q are both false, then the entry in this column is T.

P V Q : This column is the truth value of P or Q. If P is true, then the entry in this column is T. If Q is true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.

P ^ Q : This column is the truth value of P and Q. If P and Q are both true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.

P -> Q : This column is the truth value of P implies Q. If P is true and Q is false, then the entry in this column is F. And if P is false or Q is true, then the entry in this column is T.

-P : This column is the negation of P. If P is true, then the entry in this column is F. And if P is false, then the entry in this column is T.

-Q : This column is the negation of Q. If Q is true, then the entry in this column is F. And if Q is false, then the entry in this column is T.

-P V -Q : This column is the truth value of not P or not Q. If P and Q are both true, then the entry in this column is F. If P and Q are both false, then the entry in this column is T. And if P or Q is true, then the entry in this column is T.

-P -> Q : This column is the truth value of not P implies Q. If P is true and Q is false, then the entry in this column is T. And if P is false or Q is true, then the entry in this column is F.

-P -> -Q : This column is the truth value of not P implies not Q. If P and Q are both true, then the entry in this column is T. If P is false or Q is false, then the entry in this column is T. And if P is true and Q is true, then the entry in this column is F.

P <-> Q : This column is the truth value of P if and only if Q. If P and Q are both true or P and Q are both false, then the entry in this column is T. And if P and Q have different truth values, then the entry in this column is F.

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Answer: C

Step-by-step explanation:

Answer:

(i)Here ∠HGB=∠AGE(vertically opposite angles)

∠HGB=110

∘

Now, for parallel lines l and m, with transversal t.

∠HGB+∠GHD=180

∘

(Angles on the same side of the transversal are supplementary)

110

∘

+∠GHD=180

∘

∠GHD=180

∘

−110

∘

=70

∘

(ii)For parallel lines l and m with transversal a

∠AIE=∠CJI (corresponding angles)

⇒x=100

∘

Answer:

5 and 24

Step-by-step explanation:

1) replace the x's with 125 | c(x)=120+4(125)/(125)

620/125=5 simplify numerator

x=5

2) replace c(x) with 9 | 9=120+4x/x

9x=4x+120 multiply both sides by x

9x-4x=4x+120-4x subtract both sides by -4x

5x=120 divide both sides by 5

x=24

so, it costs about 5 dollars per book when 125 are printed

and, if it costs 9 dollars per book, 24 should be printed

The given function for the cost of printing is a linear function that has a

fixed (set up) cost and a variable cost component.

The correct responses are;

Reasons:

Given that the function for the cost of printing x books is; c(x) = 120 + 4·x, we have;

1. The cost of printing 125 books is c(125) = 120 + 4 × 125 = 620

2. The amount the author plans to charge per book = $9

The number of books, n, that should be printed is given as follows;

\(\displaystyle 9 = \mathbf{ \frac{120 + 4 \times n}{n}}\)

Which gives;

9·n = 120 + 4·n

9·n - 4·n = 120

5·n = 120

\(\displaystyle n = \frac{120}{5} = \mathbf{24}\)

The number of books that should be printed, n ≥ 24 books

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A. Yes, the data justifies a function because there is no repeating x values.

B. The relation f(x) = 2x + 13 has a greater value at x = 7

C. The value of x when f(x) = 75 is; 31

A) The general formula for equation of a line in slope intercept form is;

y = mx + b

where;

m is slope

b is y-intercept

Slope is;

m = (y₂ - y₁)/(x₂ - x₁)

m = (5 - 2)/(6 - 5)

m = 3

Let us test the first coordinate;

2 = 3(5) + b

2 = 15 + b

2 - 15 = b

-13 = b

so the equation is : y = 3x - 13

B) When x = 7, we have;

y = 3(7) - 13

y = 21 - 13

y = 8

Let us now test for when  f(x) = 2x + 13 to get;

f(x) = 2x + 13, when x = 7

f(7) = 2(7) + 13

f(7) = 14 + 13

f(7) = 27

the function has a greater value for f(x) = 2x + 13

C. f(x) = 2x + 13

when f(x) = 75

Thus;

75 = 2x + 13

75 - 13 = 2x

62 = 2x

62/2 = x

31 = x

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Answer:

D. 1/3​

Explanation:

In the bag, there are one red, one yellow, and one green ball.

Number of yellow ball = 1

Total number of balls = 3

Thus, the probability that Shelley will choose the yellow ball out of the bag:

T

Answer: D

Step-by-step explanation: There is 3 balls, lets say that is 3/3, and a yellow ball is 1, which is 1/3

The amount that you will have in 3 years, given the interest rate and the amount won, is 1, 195, 618. 17 currency units

To find the amount earned in three years as a result of your lottery being invested, use the future value formula which is:

= Amount won x ( 1 + periodic  rate ) ^ number of periods

Periodic rate :

= 6 % / 4 quarters per year

= 1. 5 %

The number of periods is:

= 3 years x 4 quarters per year

= 12 quarters

The amount you will have in 3 years is:
= 1,000,000 x ( 1 + 1. 5 %) ¹²

= 1, 195, 618. 17 currency units

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Answer:

-8

Step-by-step explanation:

Slope = (y1-y2) / ( x1-x2)

            = ( f-4) / (-8 - -6)      =  6

                  (f-4) / -2    = 6

                    f-4 = -12

                     f = - 8

Answer:

f = -8

Explanation:

Find slope:

\(\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{\triangle y}{\triangle x} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points\)

Here given:

Inserting into slope formula:

\(\sf \rightarrow \dfrac{4-f}{-6-(-8) } = 6\)

\(\sf \rightarrow \dfrac{4-f}{2 } = 6\)

\(\sf \rightarrow 4-f = 12\)

\(\sf \rightarrow -f = 12-4\)

\(\sf \rightarrow -f =8\)

\(\sf \rightarrow f =-8\)

Answer:

The probability that a randomly selected individual with an undergraduate degree from UC Riverside will have a starting salary of $34,000 to $46,000 is 0.7699.

Step-by-step explanation:

Let X denote the starting salaries of individuals with an undergraduate degree from UC Riverside.

It is provided that, \(X\sim N(\$40,000,\ \$5,000^{2})\)

Compute the value of P (34000 < X < 46000) as follows:

\(P (34000 < X < 46000)=P(\frac{34000-40000}{5000}<\frac{X-\mu}{\sigma}<\frac{46000-40000}{5000})\\\\=P(-1.2<Z<1.2)\\\\=P(Z<1.2)-P(Z<-1.2)\\\\=0.88493-0.11507\\\\=0.76986\\\\\approx 0.7699\)

Thus, the probability that a randomly selected individual with an undergraduate degree from UC Riverside will have a starting salary of $34,000 to $46,000 is 0.7699.

Answer:

1/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

The given figure has a perimeter of 10 lines, each 1 unit long.

If the perimeter is 30 for the new figure, then the scale factor is 3, because 30 is 3 * 10

Answer: (6x+1)(7x+3)

Step-by-step explanation:

Step-by-step explanation:

a quadratic

use sum factor pattern

42x^2+25x+3

=42x^2+18x+7x+3

common factor

6x(7x+3)+7x+3

rewrite in factored form

(6x+1)(7x+3)

Answer:

216 feet

Step-by-step explanation: Just do 27 x 96 to get 2592 inches and then convert that to feet and you get 216 feet

Answer:

about 221 or exactly 220.1 feet

Step-by-step explanation:

1 foot = 12 inches

27 5/8 inches = 2. 30 feet

2.30 feet * 96 steps = 220.1 feet

I'm pretty sure this is how its supposed to go if you meant 5/8 feet with it!

Answer:

4. 1), 2), 4) are true

5. x = 7

Step-by-step explanation:

In question 4.

1), 2), and 4) are true

Triangles ABD and CBD are congruent by AAS. Then by CPCTC, 1) and 4) are true. 2) is true by definition of altitude and all right angles are congruent.

5.

Your drawing is good.

Since IF is a median, then IE = IG = (1/2)GE

IE = (1/2)GE

x + 6 = (1/2)(3x + 5)

2x + 12 = 3x + 5

-x = -7

x = 7

Answer:

Your answer is 140 degree

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Answer:

The correlation is 0.373 . There is a moderate positive linear association between Dollars and Satisfaction.

Step-by-step explanation:

Given the data:

Dollars Satisfaction

70.99 32

76.01 34

67.24 27

69.33 17

67.59 23

74.06 29

76.04 25

72.63 31

68.01 26

67.98 31

Using technology, the Pearson correlation Coefficient calculator ; we can obtain the Pearson correlation Coefficient is 0.3729

Interpretating this value, a correlation Coefficient value of 0.3729 is positive, this means a positive linear relationship exists between the values. Also 0.3729 is closer to 0 than 1 ; this mean that the strength of their relationship is moderate to weak .

Hence, a correlation Coefficient value of 0.3729 means that a weak positive relationship exists between dollar and satisfaction