The graph of the function g(x) is a transformation of the parent function f(x)=x².
Which equation describes the function g?

​a) g(x)=(x+4)²
b) ​g(x)=x²+4​
c) g(x)=x²−4
d) g(x)=(x−4)²

Answer:

8.17307692308

Step-by-step explanation:

7,488 divided by 416 is 18 (:

Answer:

Step-by-step explanation:

Each installment is 1/12 of a yearly income:

Annual salary=32000

Monthly salary

Answer:

a) A sample of 385 must be taken.

b) The 95% confidence interval for the proportion of workers who have changed jobs within the past year is (0.1216, 0.2784).

c) A sample of 246 is needed.

Step-by-step explanation:

Question a:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

Absence of preliminary data:

This means that we use [tex]\pi = 0.5[/tex], which is when the largest sample will be needed.

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

How large a sample must be taken to ensure that a 95% confidence interval will specify the proportion to within ±0.05?

A sample of n must be taken.

n is found when [tex]M = 0.05[/tex]. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.05\sqrt{n} = 1.96*0.5[/tex]

Dividing both sides by 0.05

[tex]\sqrt{n} = 1.96*10[/tex]

[tex](\sqrt{n})^2 = (19.6)^2[/tex]

[tex]n = 384.16[/tex]

Rounding up,

A sample of 385 must be taken.

Question b:

In a sample of 100 workers, 20 of them had changed jobs within the past year.

This means that [tex]n = 100, \pi = \frac{20}{100} = 0.2[/tex]

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 - 1.96\sqrt{\frac{0.2*0.8}{100}} = 0.1216[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 + 1.96\sqrt{\frac{0.2*0.8}{100}} = 0.2784[/tex]

The 95% confidence interval for the proportion of workers who have changed jobs within the past year is (0.1216, 0.2784).

Question c:

Same procedure as question a, just with [tex]\pi = 0.2[/tex]

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 1.96\sqrt{\frac{0.2*0.8}{n}}[/tex]

[tex]0.05\sqrt{n} = 1.96\sqrt{0.2*0.8}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.2*0.8}}{0.05}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.2*0.8}}{0.05})^2[/tex]

[tex]n = 245.8[/tex]

Rounding up

A sample of 246 is needed.

Answer:

(4, -7) thats the largest maximum

Answer:

Step-by-step explanation:

70

Answer:

The wingspan of a pelican is 1 8/15 feet longer than the wingspan of an eagle.

(1 whole 8/15 feet)

Step-by-step explanation:

We'll need to find a common denominator for the fractions. 15 is the lowest number divisible by both 5 and 3, so we'll use 15. For this problem, it's also easier to convert to improper fractions, in my opinion.

Pelican:

8 1/5 = 41/5

41/5 x 3/3 = 123/15

Eagle:

6 2/3 = 20/3

(20/3) x (5/5) = 100/15

Find the difference:

123/15 - 100/15 = 23/15 = 1 8/15

Please let me know if you have questions.

Answer: I think its A?

Step-by-step explanation:

Answer: B

Step-by-step explanation:

The prime numbers here are outcomes 2, 3, and 5.

Therefore, we must add the frequency numbers for these prime numbers:  

                36 + 44 + 30 = 110

Out of 200 dice rolls, 110 were prime numbers. This can be represented as:

              110/200 = 11/20 (fraction form)

                             = 0.55 (decimal form)

Therefore, the answer is b. 0.55

Answer:

2(8a+5)

Step-by-step explanation:

To factor means to find a number that can divide all the terms in the expression and leave whole number quotients. The factor is written outside the bracket while the quotients are written inside the bracket. In the question, 2 can divide both 16a and 10 giving 8a and 5. This is how the answer was obtained.

Answer:

Step-by-step explanation:

Given

Absolute value is always positive:

Answer:

6

Step-by-step explanation:

Seeing that the two students are running aside from

each other. We can add the speeds together.

We can also subtract 10 feet from our goal of 1870

they are already feet apart.

1870ft / (150+1650) ft per min

we are left with our answer 6

Hope this helps!

Answer:

5.96 minutes :)

Answer:

[tex] \frac{1}{2} + \frac{10}{12} \: = \: \boxed{\frac{4}{3}} [/tex]

Explanation:

[tex] \frac{1}{2} + \frac{10}{12} \: = \: \frac{1 × 6}{2 × 6} + \frac{10}{12} \: = \: \frac{6}{12} + \frac{10}{12} \: = \: \frac{6 + 10}{12} \: = \frac{16}{12} \: = \: \frac{16 ÷ 4}{12 ÷ 4} \: = \: \frac{4}{3}[/tex]

[Multiply the numerator and denominator by the common denominator so that both denominators are the same]

[Add the numerators together]

[Reduce the fractions and simplify by a common denominator until the denominator or numerator cannot be divided evenly]

is there supposed to be an image?? (comments, ill give answer if not, im

just confused)

Answer:

(-5,7) 2nd          (8.5,-4) 4th       (0,5) y-axis

Step-by-step explanation:

Answer:

Angle 3 is greater than angle 4

TrUsT mE

Answer:

2nd option..... Angles 3 and 4 are complementary Angles.

Answer:

x=11

Step-by-step explanation:

You do 38/3x+3 and 19/x+7 and then cross mulitply and get 57x+57=38x+266. Then yoy subtract 57 from 266 and get 57x=38x+209. Now you have to subtract 38 from 57 and then answer will be 19. So now you have 19x=209. Finally you divide 209 by 19 and get x=11. Good luck!

Answer:

Y= -72

Step-by-step explanation:

I dont know if that was the answer needed

Answer:

28.27

Step-by-step explanation:

3.14 x 9

is how to do this problem

Add all the times together:

10 + 25 + 15 = 50 minutes total.

For the ratio divide the time for weights by total time:

25/50 which reduces to 1/2

The ratio is 1/2

Answer:

15:50 = 3:10

3:10 is the answer

The correct answer is A.

The area of the square with a side length of 19 meters is 361 square meters.

To determine the area of a square, you multiply the length of one side by itself.

In this case, the side length is given as 19 meters.

To calculate the area of a square, you can use the formula:

Area = side length × side length

Area = 19 meters × 19 meters

Area = 361 square meters

So, the area of the square with a side length of 19 meters is 361 square meters.

For such more questions on area

https://brainly.com/question/25292087

#SPJ8

(3)^-2 (27)

the answer is C) 3

Answer:

x = 7

Step-by-step explanation:

Find the point on the graph that has the y-value of 8. Determine its x-value.

Answer:

1845/15=123

Step-by-step explanation:

Step-by-step explanation:

I don't now just paiattention to the problem that willed be more like it thx

Answer:

the answer is actually study and you would know

Step-by-step explanation:

Answer:

3 and 19

Step-by-step explanation:

Answer:

23.16 punces

Step-by-step explanation:

6x3.86=23.16

Answer: 23.16 ounces

Step-by-step explanation:

If there are 6 candy bars that each weigh 3.86 ounces, you need to add up all of the weights to find the total pack weight. 6*3.86=23.16

*If by any chance you need your answer to be in pounds, divide the answer by 16 (16 ounces in a pound). 23.16/16= 1.45 pounds

Answer:

I think 3 hours

Answer:

2/6 in 2 hours

Step-by-step explanation:

Step-by-step explanation:

area of traingle formed on right= 1/2*base*height

=1/2*5*6

= 15mi²

Answer/Step-by-step explanation:

As the input increases by 1, the output decreases by 4. The missing number for the Input is 6, and the missing number for output is -17.

Answer15 y-int. (sety=0) 5%-15 (set x=0) x=3. 13,0).

Step-by-step explanation: