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2 years ago

This is a graph of the function g(x) =-3x+2. Determine the domain value when th

Mathematics

1 answer:

lord [1]2 years ago

4 0

Range = -4= g(x)

Therefore, g(x) = -3x+2

or, -4=3x +2

or, 3x= -4-2

or, 3x= -6

or, x= -6/3 = -2

OPTION A is the correct answer.

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A country's population in 1994 was 184 million. in 1997 it was a 190 million. estimate the population in 2015 using the exponent

cestrela7 [59]

Answer:

107.82

Step-by-step explanation:

5 0

3 years ago

At the beginning of the week, Paloma opened a new box of 100 coffee creamers. Sixty-seven coffee creamers were used during the w

Sergio [31]

The answer would be 100 - 67 = 33

8 0

3 years ago

Read 2 more answers

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

yan [13]

Answer:

138.16 in²

Step-by-step explanation:

The surface area SA of the cone is the sum of the base area B and the lateral area LA. The lateral area is half the product of the circumference and the slant height. The radius is half the diameter, so is 4 inches.

SA = B + LA

= πr² + (1/2)(2πrh) . . . . where h is the slant height

= (πr)(r +h)

Filling in the numbers, you have ...

SA = (3.14)(4 in)(4 in + 7 in) = 3.14×(44 in²) = 138.16 in²

7 0

3 years ago

What is the scale factor from Figure 2 to Figure 1?

Luda [366]

Answer:

Step-by-step explanation:

Each of the lines lengths multiply by 3.

6 0

2 years ago

A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. Someone in the res

Alexus [3.1K]

Answer:

Step-by-step explanation:

Hello!

So you have a new type of shoe that lasts presumably longer than the ones that are on the market. So your study variable is:

X: "Lifetime of one shoe pair of the new model"

Applying CLT:

X[bar]≈N(μ;σ²/n)

Known values:

n= 30 shoe pairs

x[bar]: 17 months

S= 5.5 months

Since you have to prove whether the new shoes last more or less than the old ones your statistical hypothesis are:

H₀:μ=15

H₁:μ≠15

The significance level for the test is given: α: 0.05

Your critical region will be two-tailed:

$Z_{\alpha /2} = Z_{0.025}= -1.96$

$Z_{1-\alpha /2} = Z_{0.975}= 1.96$

So you'll reject the null Hypothesis if your calculated value is ≤-1.96 or if it is ≥1.96

Now you calculate your observed Z-value

Z=<u>x[bar]-μ</u> ⇒ Z=<u> 17-15 </u> = 1.99

σ/√n 5.5/√30

Since this value is greater than the right critical value, i.e. Zobs(1.99)>1.96 you reject the null Hypothesis. So the average durability of the new shoe model is different than 15 months.

I hope you have a SUPER day!

5 0

3 years ago