Olivia picked 482 apples from the orchard's largest apple tree. She divided the apples evenly into 4 baskets. How many apples are in each basket? How many are left over?

Answers

Answer 1
Answer:

Answer:

120 with 4 left

Step-by-step explanation:

482 divided by 4 is 120.5. so you throw 120 apples in each basket and you have 2 left.

Answer 2
Answer:

Final answer:

Olivia divided the 482 apples she picked from the orchard's largest apple tree evenly into 4 baskets. Each basket contains 120 apples and there are 2 apples left over.

Explanation:

Total apples picked = 482

To determine the number of apples in each basket, we need to divide the total number of apples picked by Olivia, which is 482, by the number of baskets, which is 4.

Using division, 482 divided by 4 equals 120 remainder 2. Therefore, each basket contains 120 apples and there are 2 apples left over.

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The table shows the distances and times that four people ran. Without making any calculations, who ran the fastest?

Answers

Answer:

b is the answer very sure

Step-by-step explanation:

Answer:

Betsy

Step-by-step explanation:

UwU

A doctor at a local hospital is interested in estimating the birth weight of infants. How large a sample must she select if she desires to be 90% confident that her estimate is within 4 ounces of the true mean

Answers

Answer:

The minimum sample size needed is n = ((1.96√(\sigma))/(4))^2. If n is a decimal number, it is rounded up to the next integer. \sigma is the standard deviation of the population.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = (1 - 0.9)/(2) = 0.05

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.05 = 0.95, so Z = 1.645.

Now, find the margin of error M as such

M = z(\sigma)/(√(n))

In which \sigma is the standard deviation of the population and n is the size of the sample.

How large a sample must she select if she desires to be 90% confident that her estimate is within 4 ounces of the true mean?

A sample of n is needed, and n is found when M = 4. So

M = z(\sigma)/(√(n))

4 = 1.96(\sigma)/(√(n))

4√(n) = 1.96√(\sigma)

√(n) = (1.96√(\sigma))/(4)

(√(n))^2 = ((1.96√(\sigma))/(4))^2

n = ((1.96√(\sigma))/(4))^2

The minimum sample size needed is n = ((1.96√(\sigma))/(4))^2. If n is a decimal number, it is rounded up to the next integer. \sigma is the standard deviation of the population.

"Which equation has no solution?A. 4(x + 3) + 2x = 6(x + 2)
B. 5 + 2(3 + 2x) = x + 3(x + 1)
C. 5(x + 3) + x = 4(x + 3) + 3
D. 4 + 6(2 + x) = 2(3x + 8)"

Answers

Answer:

5 + 2(3 + 2x) = x + 3(x + 1)

Step-by-step explanation:

big brain/took test

The equations without a solution are A, B, and D since if you were to simply multiply out the equations with FOIL, you would receive X's that cancel out on both sides. I am not sure if you are looking for one solution but here's my input

In figure, MN : NP = 9:1. If MP = 2. Find the distance from M to point K that is 1/4 the distance from M to N?(A) 1 (B) 1 1/3 (C) 9/20 (D) 1 8/10

Answers

The distance MN is 9/(9+1) = 9/10 of the distance MP, so is

... MN = (9/10)×MP = (9/10)×2 = 9/5

The distance MK is 1/4 that, so is ...

... MK = (1/4)×(9/5) = 9/20 . . . . . matches selection (C)

Answer:

C

Step-by-step explanation:

the answer is C. give the person the brainly :) ignore this answer

Amanda has been employed at a company for 37 years. The company is 24 years older than Amanda. The sum of Amanda age and the company’s age is 121 years. How old was Amanda when she started her job?

Answers

Answer:

11 1/2 years old

Step-by-step explanation:

Let Amanda's age be a.

Let the company's age be c.

The company is 24 years older than Amanda. This means that:

c = 24 + a ______(1)

The sum of Amanda's age and the company's age is 121 years. This means that:

c + a = 121 ________(2)

Put (1) in (2):

24 + a + a = 121

2a = 121 - 24

2a = 97

a = 97 / 2 = 48 1/2 years

She has been there for 37 years, therefore, her age when she started working there is:

48 1/2 - 37 = 11 1/2 years old

NOTE: This age doesn't seem right but I worked based on the parameters given.

As sample size increases, which of the following is true for a t-distribution-Distribution will get taller and SD will increase
-distribution sill get taller and SD will decrease
-distribution will get shorter and SD will decrease
Distribution will get shorter and SD will increase

Answers

Answer:

Distribution will get taller and SD will decrease.

Step-by-step explanation:

Sample Size and Standard Deviation:

In a t-distribution, sample size and standard deviation are inversely related.

A larger sample size results in decreased standard deviation and a smaller sample size will result in increased standard deviation.

Sample Size and Shape of t-distribution:

As we increase the sample size, the corresponding degree of freedom increases which causes the t-distribution to like normal distribution.  With a considerably larger sample size, the t-distribution and normal distribution are almost identical.

Degree of freedom = n - 1

Where n is the sample size.

The shape of the t-distribution becomes more taller and less spread out as the sample size is increased

Refer to the attached graphs, where the shape of a t-distribution is shown with respect to degrees of freedom and also t-distribution is compared with normal distribution.

We can clearly notice that as the degree of freedom increases, the shape of the t-distribution becomes taller and narrower which means more data at the center rather than at the tails.

Also notice that as the degree of freedom increases, the shape of the t-distribution approaches normal distribution.

Final answer:

In a t-distribution, as the sample size increases, the distribution becomes 'shorter', and the standard deviation decreases following the law of large numbers. The increased sample size reduces variability and introduces less deviation from the mean.

Explanation:

As the sample size increases for a t-distribution, the distribution tends to approach a normal distribution shape, which means the distribution will get 'shorter'. Additionally, the standard deviation (SD) would generally decrease as the sample size increases. This is due to the fact that when sample size increases, a smaller variability is introduced, hence less deviation from the mean.

To illustrate, imagine rolling a dice. If you roll it a few times, you may end up with quite a bit of variation. If you roll it a hundred times, however, the numbers should average out closer to the expected value (3.5 for a six-sided dice), and the standard deviation (a measure of variability) would decrease.

In conclusion, when the sample size increases, a t-distribution will get 'shorter' and SD will decrease. This concept is often referred as the law of large numbers.

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