All categories

2 years ago

Write an equation to represent the function.

Mathematics

1 answer:

svet-max [94.6K]2 years ago

5 0

Answer:

f(x) = 50 + 25(x - 1)

Step-by-step explanation:

Let's write an equation to represent the function that will allow Damon to calculate the cost of his video game membership service:

Lifetime membership fee = $ 50

First video game is free

Then any video game purchased after = $ 25.

Let x to represent the total cost of the video game membership service, in consequence we can write the equation this way:

f(x) = 50 + 25(x - 1)

If x = 1, then f(1) = 50 + 0 = 50
If x = 2, then f(2) = 50 + 25 = 75
If x = 5, then f(5) = 50 + 100 = 150

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What is the second factor when 0.200 is written scientific notation

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Answer:

2*10^-1

Step-by-step explanation:

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3 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=x[bar]-μ ⇒ Z= 17-15 = 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

Find the value of x 36 4 18 3

Zanzabum

Answer:

D:3

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

What is the remainder when 19x^2 + 15x + 12 is divided by x - 2?

Aleksandr-060686 [28]

Answer:

R = 118

Step-by-step explanation:

Given

Represent the polynomial with P and the divisor with D

$P = 19x^2 + 15x + 12$

$D = x -2$

Required

Determine the remainder

We start by equating the divisor to 0

i.e.

$D = 0$

$x - 2 = 0$

$x = 2$

Substitute 2 for x in the polynomial.

This gives remainder (R)

$R = 19*2^2 + 15*2 + 12$

$R = 19*4 + 15*2 + 12$

$R = 76 + 30 + 12$

$R = 118$

Hence, the remainder is 118

8 0

2 years ago

A water storage tank is in the shape of a hemisphere (half a sphere). If the radius is 20 ft, approximate the volume of the t

otez555 [7]

Answer:

The approximate volume of the tank is $V=16,747\ ft^{3}$

Step-by-step explanation:

we know that

The volume of a hemisphere (water storage tank) is equal to

$V=\frac{4}{6}\pi r^{3}$

we have

$r=20\ ft$

assume

$\pi =3.14$

substitute

$V=\frac{4}{6}(3.14)(20)^{3}$

$V=16,747\ ft^{3}$

7 0

3 years ago