Convert the mixed number 31⁄4 to a percent.

A phone manufacturer wants to compete in the touch screen phone market. Management understands that the leading product has a le

CaHeK987 [17]

Answer:

Step-by-step explanation:

Hello!

To compete in the touch screen phone market a manufacturer aims to release a new touch screen with a battery life said to last more than two hours longer than the leading product which is the desired feature in phones.

To test this claim two samples were taken:

Sample 1

X: battery lifespan of a unit of the new product (min)

n= 93 units of the new product

mean battery life X[bar]= 8:53hs= 533min

S= 84 min

Sample 2

X: battery lifespan of a unit of the leading product (min)

n= 102 units of the leading product

mean battery life X[bar]= 5:40 hs = 340min

S= 93 min

The population variances of both variances are unknown and distinct.

To test if the average battery life of the new product is greater than the average battery life of the leading product by 2 hs (or 120 min) the parameters of interest will be the two population means and we will test their difference, the hypotheses are:

H₀: μ₁ - μ₂ ≤ 120

H₁: μ₁ - μ₂ > 120

Considering that there is not enough information about the distribution of both variables, but both samples are big enough, we can apply the central limit theorem and approximate the distribution of both sample means to normal, this way we can use the standard normal:

$Z= \frac{(X[bar]_1-X[bar]_2)-(Mu_1-Mu_2)}{\sqrt{\frac{S_1^2}{n_1} +\frac{S_2^2}{n_2} } }$

Z≈N(0;1)

$Z= \frac{(533-340)-120}{\sqrt{\frac{84^2}{56} +\frac{93^2}{102} } }= 5.028$

I hope this helps!

3 0

4 years ago

Help ASAP ill give you brainlist. but explain

Lyrx [107]

Answer:

b, 45

Step-by-step explanation:

The spinner shown has eight congruent sections. The spinner is spun 120 times. What is a reasonable prediction for the number of times the spinner will land on an even number?

Before I begin, let's go over probability.

The probability of an event is: (the number of ways something can happen) / (total number of outcomes possible). So, for example, the probability of rolling a one on a die can be found like:

There is 1 way to roll a one, and 6 possible sides, so the probability is 1/6.

And, if we were to roll the die 60 times, we could expect about 1/6 of the times to be a one, so we should expect a one to be rolled 1/6 * 60 = 10 times.

Now, onto the problem.

Each portion is congruent (they all have the same area). Thus, there is a 1/8 chance of landing on 1, a 1/8 chance of landing on 9, etc.

5 sections are odd, while 3 sections are even. So, the chance of landing on an even number is:

(3 ways to land on an even number) / (8 possible outcomes) = 3/8

If there is a 3/8 possibility to land on even, and there are 120 outcomes, we can say that an even number statistically should be rolled 3/8 * 120 times.

3/8 * 120 = 45

Thus, the answer is b, 45 times

Just in case, let's check the answer by finding the number of times we should roll an odd number and adding it to the number of even times and if it adds up to 120, then the answer is correct.

Because there is a 5/8 chance of getting an odd number, there should be about 5/8 * 120 = 75 times that an odd number is spun.

75 + 45 = 120, so the answer is correct.

I hope this helps! Feel free to ask any questions!

4 0

3 years ago

4. Which ordered pair is a solution of the equation y = 4x?

g100num [7]

The answer would be (-1,-4) because -1 is the z factor and -4 is the why then solve to make them equal the same thing.

8 0

4 years ago

Read 2 more answers

Using Equivalent Ratios

Soloha48 [4]

Answer:

80 skateboards where sold

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The length of a car is √185 ft. Will this car fit in a garage that measure 10 ft long? If not that is the minimum length of a ga

Rina8888 [55]

10 is the square root of only 100, so I know that the square root of 185 must be longer.

The square root of 185 is about 13.6 , so the garage must be absolutely
not any shorter than 14-ft, and 15-ft or 16-ft would be even better.

4 0

4 years ago