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3 years ago

[ Please help ] The graph of a function f(x) is shown below.

Mathematics

1 answer:

Slav-nsk [51]3 years ago

6 0

we know that

Domain:

Domain is all possible values of x for which any function is defined

For finding domain from any graph , firstly we will find smallest x-value and then largest x-value of curve

and that would be domain

Here , we have

smallest x-value is -3

but there is a hole at x=-3

so, function is not defined at x=-3

largest x-value is 1

so, domain would be

$-3$ .................Answer

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Answer:

3(x+y+3)

Step-by-step explanation:

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3 years ago

Help anyone can help me do this question,I will mark brainlest.

lakkis [162]

Circumference of a circle = 2πr

So,

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2 years ago

Read 2 more answers

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!

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3 years ago

A storage container for oil is in the shape of a cylinder with a diameter of 10 feet and a height of 17 feet. Which measurement

Archy [21]

Answer:

Step-by-step explanation:

use Area=pi * $r^{2}$

diameter is 2 * r

so r = 5

pi * $5^{2}$ = 78.5398

Area * height = volume

78.5398 * 17 = 1335.18

the cylinder holds about 1335 $ft^{3}$

5 0

2 years ago

2. A statistics student plans to use a TI-84 Plus calculator on her final exam. From past experience, she estimates that there i

Anarel [89]

Answer:

P(≥1 working) = 0.9936
She raises her odds of completing the exam without failure by a factor of 13.5, from 11.5 : 1 to 155.25 : 1.

Step-by-step explanation:

1. Assuming the failure is in the calculator, not the operator, and the failures are independent, the probability of finishing with at least one working calculator is the complement of the probability that both will fail. That is ...

... P(≥1 working) = 1 - P(both fail) = 1 - P(fail)² = 1 - (1 - 0.92)² = 0.9936

2. The odds in favor of finishing an exam starting with only one calculator are 0.92 : 0.08 = 11.5 : 1.

If two calculators are brought to the exam, the odds in favor of at least one working calculator are 0.9936 : 0.0064 = 155.25 : 1.

This odds ratio is 155.25/11.5 = 13.5 times as good as the odds with only one calculator.

_____

My assessment is that there is significant gain from bringing a backup. (Personally, I might investigate why the probability of failure is so high. I have not had such bad luck with calculators, which makes me wonder if operator error is involved.)

7 0

3 years ago