HELP ME!!! I WILL GIVE BRAINIEST!!

The Hawkins Company randomly samples 10 items from every large batch before the batch is packaged and shipped. According to the

agasfer [191]

Answer:

0.9138 = 91.38%

Step-by-step explanation:

For each item, there are only two possible outcomes. Either it is defective, or it is not. The probability of an item being defective is independent of other items. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

10 items

This means that $n = 10$

5 percent of the items shipped can be defective.

This means that $p = 0.05$

Probability that a batch that meets the contract requirements will be shipped without further inspection

Probability of 1 or fewer defects.

So

$P(X \leq 1) = P(X = 0) + P(X = 1)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.05)^{0}.(0.95)^{10} = 0.5987$

$P(X = 1) = C_{10,1}.(0.05)^{1}.(0.95)^{9} = 0.3151$

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5987 + 0.3151 = 0.9138$

So the answer is:

0.9138 = 91.38%

4 0

3 years ago

Read 2 more answers

A study showed that people who take a B12 vitamin daily have a significantly better chance of protecting against Alzheimer's dis

marishachu [46]

A. 1 only- this study provides evidence that taking B12 vitamin daily contributed to protecting against Alzheimer’s disease.

3 0

3 years ago

I don’t know what i’m doing!

Colt1911 [192]

Answer:

angle list = measure
2, 4 = 35°
3, 7, 9 = 52°
11 = 87°
1, 5, 10, 12 = 93°
6, 8 = 128°

Step-by-step explanation:

As with a lot of math, it helps to understand the vocabulary. That helps you understand what is being said when the words are used to form a thought.

A "transversal" is a line that cuts across two parallel lines. At each intersection, 4 angles are formed. The angles are given different names, so we can talk about pairs of them being congruent.

The four angles between the parallel lines are called interior angles. The four angles outside the parallel lines are called exterior angles. When the angles are on opposite sides of the transversal, they are alternate angles.

In the diagram, we can identify the following pairs in each category:

alternate interior: {3, 9}, {5, 10}
alternate exterior: {1, 12}, {7, 52°}

When interior angles are on the same side of the transversal, they are called same-side or consecutive interior angles. Exterior angles cannot be consecutive. Here are some in that category:

consecutive interior: {3, 6}, {5, 87°}

Angles created by a ray extending from a line are a linear pair. Angles of a linear pair are supplementary, that is, their sum is 180°. Angles formed by two intersecting lines, sharing only the same vertex, are called vertical angles. Vertical angles are both supplementary to the other angle of the linear pair of which they are a part. Since they are supplementary to the same angle, they are congruent (have the same measure). Here are some linear pairs and some vertical angles in the figure:

linear pairs: {6, 7}, {7, 8}, {8, 9}, {6, 9}, {10, 87°}, {10, 11}, {11, 12}, {12, 87°}
vertical angles: {1, 5}, {2, 4}, {3, 52°}, {6, 8}, {7, 9}, {10, 12}, {11, 87°}

Corresponding angles are ones that are in the same direction from the point of intersection. Some of those pairs are ...

corresponding angles: {1, 10}, {5, 12}, {3, 7}, {9, 52°}

Here are the relations that help you work this problem:

alternate interior angles are congruent
alternate exterior angles are congruent
vertical angles are congruent
corresponding angles are congruent
a linear pair is supplementary
consecutive interior angles are supplementary

__

So far, we haven't mentioned much about the angles where lines j, k, l all meet. Transversal j cuts some of the angles created by transversal k, and vice versa. So, there are some angle sum relations that also apply to corresponding angles:

∠1+∠2≅∠6
∠2+52°≅87°
∠3+∠4≅∠11
∠4+∠5≅∠8

_____

With an awareness of all of the above, you can figure the measures of all of the angles in the diagram.

∠1 ≅ ∠5 ≅ ∠10 ≅ ∠12 = 180° -87° = 93°

∠2+52° = 87° ⇒ ∠2 ≅ ∠4 = 87° -52° = 35°

∠3 ≅ ∠7 ≅ ∠9 ≅ 52°

∠6 ≅ ∠8 = 180° -∠7 = 128°

∠11 ≅ 87°

5 0

3 years ago

Hudson runs 4 miles per day. What is the relationship between the number of days and how many miles he has run

Citrus2011 [14]

Answer:

Running 3 miles a day, paired with a healthy diet and lifestyle habits, can help you burn excess body fat. ... The key to losing weight is establishing a caloric deficit, or burning more calories than you take in, and running is great for burning calories.May 28, 2019

Step-by-step explanation:

6 0

3 years ago

I NEED HELP ASAP!!!!!!! PLEASE HELP ME!!!!!!!!!

aniked [119]

Answer:

a = 33 degrees, b = 147 degrees

Step-by-step explanation:

The sum of all the angles in a triangle is 180 degrees, and to solve for the angle on the other side of 109 degrees is 71 degrees, so to solve for a, have 180 minus 71 and 76. Then the sum of 71 and 76 is angle b since its the result of a subtracting from 180.

3 0

3 years ago