Please help and fast......

Given f(2) = 3, f'(2) = 4, 8(2) = -2, and g'(2) = -4. Find<br> h'(2) if h(x) = f(x) x g(x).

Shtirlitz [24]

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6 0

3 years ago

In an instant lottery, your chances of winning are 0.1. if you play the lottery five times and outcomes are independent, the pro

lesya692 [45]

The probability that you lose all five times will be 0.59.

<h3>How to calculate the probability?</h3>

From the information given, the chances of winning are 0.1. Therefore, the chance of losing will be:

= 1 - 0.1 = 0.9

Therefore, the probability that you lose all five times will be:

= 0.9 × 0.9 × 0.9 × 0.9 × 0.9

= 0.59

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

6 0

2 years ago

After a game, Coach Jones wants to serve punch to the players on her soccer team. She will mix 2 quarts of ginger ale and 1 gall

Zinaida [17]

The answer would be 24 8-ounce cups.

First you would find how many quarts over all she has which is 6, then multiply that by 32(which is the amount of ounces are in a quart), then you would get 192 which you divide by 8 to find the total amount of cups you would have which is 24.

6 0

3 years ago

A machine, when working properly, produces 5% or less defective items. Whenever the machine produces significantly greater than

vovikov84 [41]

Answer:

The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.

Step-by-step explanation:

A machine, when working properly, produces 5% or less defective items.

This means that the null hypothesis is:

$H_0: p \leq 0.05$

Test if the percentage of defective items produced by this machine is greater than 5%.

This means that the alternate hypothesis is:

$H_a: p > 0.05$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.05 is tested at the null hypothesis:

This means that $\mu = 0.05, \sigma = \sqrt{0.05*0.95}$

A random sample of 300 items taken from the production line contained 27 defective items.

This means that $n = 300, X = \frac{27}{300} = 0.09$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.09 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{300}}}$

$z = 3.18$

Pvalue of the test:

Testing if the mean is greater than a value, which means that the pvalue of the test is 1 subtracted by the pvalue of Z = 3.18, which is the probability of a finding a sample proportion of 0.09 or higher.

Looking at the Z-table, Z = 3.18 has a pvalue of 0.9993

1 - 0.9993 = 0.0007

The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.

5 0

3 years ago

I need your help to find the value of x.round to the nearest hundred just the photo

True [87]

Answer:

Step-by-step explanation:

1. Cos 52° = adj/hyp

Cos 52° = x/13

x = 13×cos 52°

x = 8.00

2. Sin70° = opp/hyp

Sin70° = 30/x

x sin70° = 30

x = 30/sin70°

x = 31.93

x ≈ 32

3. Tan∅ = opp/adj

Tan∅ = 45/51

Tan∅ = 0.8824

∅ = tan-¹(0.8824)

∅ = 41.42°

∅ ≈ 41°

3 0

3 years ago