Motorola used the normal distribution to determine the probability of defects and the number of defects expected in a production process. Assume a production process produces items with a mean weight of 12 ounces. The process standard deviation is 0.14, and the process control is set at plus or minus 2.4 standard deviations. Units with weights less than 11.664 or greater than 12.336 ounces will be classified as defects. What is the probability of a defect (to 4 decimals)?

Answer:

3rd one

Step-by-step explanation:

Answer:

\(\sqrt[10]{y}\)

Step-by-step explanation:

The probable reason that 37 runners broke the four-minute mile barrier within one year after Roger Bannister originally did in 1954 was due to the psychological barrier being broken.

Before Bannister's accomplishment, many believed that running a mile under four minutes was impossible for a human being. However, once Bannister proved it could be done, it changed people's beliefs about what was possible and opened up new possibilities.

This change in belief and perception likely inspired other runners to push themselves harder and believe that they too could achieve this feat, leading to a rapid increase in the number of people breaking the four-minute mile barrier. Additionally, advances in training techniques and equipment may have also played a role in this increase.

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Answer:

60:15

4:1

15 minutes is a quarter of an hour

Rashid spent a total of 1 hour and 30 minutes on homework for these three subjects.

If Rashid spent 30 minutes on each piece of homework for three subjects, we can calculate the total time he spent by multiplying the time spent per subject (30 minutes) by the number of subjects (3).

30 minutes * 3 = 90 minutes.

To convert this into hours and minutes, we divide 90 minutes by 60 since there are 60 minutes in an hour.

90 minutes ÷ 60 = 1 hour and 30 minutes.

Therefore, Rashid spent a total of 1 hour and 30 minutes on homework for these three subjects.

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The least that Qinna's arithmetic mean could be is 7.88.

The arithmetic mean, often known as the mean or average when the context is obvious, is the sum of a set of integers divided by the total number of the numbers in the set in mathematics and statistics.

We know that the mode is 7, which means that she must have scored 7 more than any other score. Therefore, the 15 days where she scored 10 cannot be the mode, and they must be some of the remaining 25 scores.

Let's consider the worst-case scenario for Qinna's scores on the other 25 days. We'll assume that she scored a 6 on all of those days. This means that her scores would look like:

15 days with a score of 10

10 days with a score of 7

10 days with a score of 6

5 days with an unknown score, which we'll call x

To find the least possible mean, we want to make x as small as possible. We know that the median is 9, so the 20th and 21st scores must be 9. We also know that there are 25 scores of 6 or higher, so the 25th score must be at least 6. Therefore, the sum of the first 24 scores plus x must be less than or equal to 25 times 6 (the sum of the lowest 25 possible scores).

24(10) + x ≤ 25(6)

240 + x ≤ 150

x ≤ -90

This means that the 5 remaining scores must add up to at most -90. Since the minimum score is 6, the maximum possible value of x is 4 times 6, or 24. Therefore, the least possible value of x is -90, which means that the 5 remaining scores must add up to 90.

To minimize the mean, we want to make these 5 scores as small as possible. If we make all 5 scores equal to 6, then the sum of all 40 scores would be:

15(10) + 10(7) + 10(6) + 5(6) = 315

The mean would be 315/40 = 7.875, which rounded to the nearest hundredth is 7.88.

Therefore, the least that Qinna's arithmetic mean could be is 7.88.

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Answer:

28.5 ft

Step-by-step explanation:

The height of a ball is given by the equation ƒ(x) = −16x² + 45x + 2.5 where x is the tome the ball travels. To find the height of the ball after a seconds, we substitute a in place of x, the equation becomes:

ƒ(a) = −16a² + 45a + 2.5.

Therefore if the height of the ball is needed to be found after 2 seconds, we find f(2).

ƒ(2) = −16(2)² + 45(2) + 2.5 = -64 + 90 + 2.5 = 28.5 ft

f(2) = 28.5 ft

20.8 cm

so sorry if incorrect :(

Answer:

Yes, P(A) = P(A|B)

Step-by-step explanation:

The context of the question is incomplete but I've assumed logically what it might be;

Whether a traveller flies or doesn't fly to their destination is unrelated to whether they home share or not;

Therefore, they are independent;

Independent events are events where the outcome of one event has no effect on the probabilities of the outcomes from a second event;

This can be represented mathematically as: P(A) = P(A|B);

The corollary of this is P(B) = P(B|A);

A common example easily understood would be if you flip a coin, there is a 50% chance of heads and 50% chance of tails;

If I flip and gets a heads first, the probability of getting a heads or tails on the second, third or tenth flip is going to be unchanged, i.e. 50% chance of heads and 50% chance of tails

If a data analyst uses the bias() function to compare the actual outcome with the predicted outcome to determine if the model is biased and gets a score of 0.8, this simply means that: 2. The model is biased.

In Mathematics, a sampling bias can be defined as a type of bias in which members of an intended population are selected in such a way that some members have a higher or lower sampling probability (chances) than the other members.

This ultimately implies that, a sampling bias would occur when members of an intended population are selected incorrectly, which eventually results in a sample that is not representative of the entire population.

In conclusion, a bias() function with an outcome score of 0.8 in R programming indicates that a model is biased because the closer a score is to zero, the lower are its chances of being biased.

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Complete Question:

A data analyst uses the bias() function to compare the actual outcome with the predicted outcome to determine if the model is biased. They get a score of 0.8. What does this mean?

1. Bias cannot be determined

2. The model is biased

3. Bias can be determined

4. The model is not biased

Answer:x = 75

Step-by-step explanation:y=105 - 5 = 100 ft

z=125 ft

dz/dt=2 ft/sec

by using Pythagorean Theorem, we find x

x^2 + 100^2 = 125^2

x = 75

No because for 5x10, you just add 10 5 times for 50. For 5x5x5, you multiply 5x5 and get 25 then multiply it again with the other 5 and get 125.

Answer:

No

Step-by-step explanation:

No, because 5 × 5 × 5 = 25 × 5 and that does not equal 10×5.

Answer:

A: 5 CM

B: 2.5 CM

C: ABC approx. equal to EDC (I'm not 100% sure on this one, but it makes most sense.)

I can't help you with number four, I'm sorry. I hope someone else comes along and helps with that!

Step-by-step explanation:

The symbol being used means "approximate equality" meaning that the two angels are alike. So in A, the two sides on the shapes are both 5 cm. On B, since it is half of that side, it would be half of five, making it 2.5 cm. For C, the middle letter is the one touched second. Therefore when you draw the shape it makes the most sense that it's ABC approx. equal to EDC. Not to mention that ABC and the next angel has to match, so since the C is last, it also matches in that spectrum.

For D, I don't know the terminology, I'm sorry.

The corresponding intervals for diameters of the washers as given in the task content is; 3.44 ≤ d ≤ 3.76.

It follows from the task content that the corresponding interval for ths diameter of the washers is to be determined given the circumference interval.

On this note, since the formula given is;

C = 3.14d.

By making d the subject of the formula;

d = C / 3.14.

Therefore, since the lower limit of the circumference is; 10.8 and the upper limit is; 11.1

The lower and upper limit of the diameter, d can be evaluated as follows;

lower limit of d is; d = 10.8 / 3.14 = 3.44

Upper limit of d is; d = 11.1 / 3.14 = 3.76

Therefore, the required interval for diameters of the washers is; 3.44 ≤ d ≤ 3.76.

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Answer:

5850 calories

Step-by-step explanation:

Answer:

They ate 17,550 calories in all

Step-by-step explanation:

325 x 3 = 975 calories for the three people in all for one day

975 x 18 = 17,550 calories in all

Based on the information provided, it can be determined that there are 120 steps visible on the escalator at any given time.

Assume that there are x total steps, e for the escalator speed, and b for Bob's pace.

Bob noticed 75 stairs and climbed the entire escalator in the time it took him to ascend it. As a result, the escalator must have added an extra x + 75 steps.

Let e and b be the speeds of the escalator and Bob, respectively.

Alice took 150 steps at a speed of (3b-e) step rate as she descended the stairs.

Bob took 75 steps at a speed of (b+e) each step as he ascended.

Since, Al and Bob were walking the same distance at a time , we have,

150(3b-e) = 75(b+e)  

Solving  these two equation we get ,  e/b = 3/5

Thus while Bob took 75 steps to go up, the escalator contributed an extra

3/5 * 75 = 45 steps

Finally, there is a total of 75+45=120 steps in the length of the escalator.

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Answer:

1. NP

2. P

3. P

4. NP

Step-by-step explanation:

if this helped, Mark as brainliest, thank you

Answer:

Not polynomial for the first one.

second is polynomial.

third is polynomial.

and fourth is not polynomial.

Step-by-step explanation:

oh wait- yeah the other person is right too LOL

In the event of shortening the standard error of mean to 15 we have to increase the size to 400. Therefore, the correct answer is Option B.

The  given standard error of the mean for a sample of 100 is 30. So to cut the standard error of the mean to 15, we have to proceed by increasing the sample size to 400.

The  formula for evaluating the standard error of mean
SEM = SD / √(n)
here, SEM = standard error of the mean,
SD = standard deviation
n = sample size
Staging the values
15 = SD / √(100)
15 x √(100) = SD
SD = 150
Now evaluating for the value of n
15 = 150 / √(n)
15 x √(n) = 150
√(n) = 10
n = 100
Now looking at the formula, we need to decrease SEM by half,

So we proceed by increasing the  sample size by a factor of 4.

In the event of shortening the standard error of mean to 15 we have to increase the size to 400. Therefore, the correct answer is Option B.

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Answer:

22

Step-by-step explanation:

Answer:

there are 22 empty spots at the table

Step-by-step explanation:

Scoring in the 60th percentile on her math exam means that the student performed better than 60% of other test takers.

Percentile is a measure that indicates the percentage of data points that are below a particular value in a given dataset. In this case, the student's score is in the 60th percentile, which means she scored better than 60% of the other test takers.

Imagine arranging all the scores of the test takers in ascending order. The 60th percentile represents the score that is greater than 60% of the scores below it and less than 40% of the scores above it. It is a way of understanding how a particular score compares to the rest of the scores in the group.

However, it also means that 40% of the test takers scored higher than her.  If the student scored in the 60th percentile, it indicates that she performed relatively well compared to the majority of the test takers.

Percentiles provide a useful way to interpret individual scores in relation to the entire distribution of scores in a dataset.

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The relationship here is explained by the intersecting secants theorem.

The intersecting secants theorem states that when two secants or chords intersect inside the circle they always add up.

That is ∠ABC = 1/2 (∡AC + ∡DE)

Intersecting secants have various practical applications in real life, particularly in fields such as architecture and  engineering.

They can be used to determine distances, angles, and proportions in geometric structures.  In civil engineering, for instance, they can aid in designing road intersections or determining optimal placement for utility lines.

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Answer:

<A = 55

<B = 125

<C = 55

<D = 125

Step-by-step explanation:

the two given angles in this are adjacent, adjacent angles in parallelograms are always supplementary

so we can set the equation to:

2x + 15 + x = 180

solve this to get x = 55

For <B plug in 65 to 2x + 15:

2(55) + 15 = 125

opposite angles in parallelograms are congruent, so B and D have the same measure and A and C have the same measure

knowing this, <D is also 125

<C is just x, so 55

and <A is opposite to <C so <A is also 55

Answer:

y = 3x + 4

Step-by-step explanation:

slope is 9/3 simplified to 3

y intercept is 4

Answer:

Bobby is 8

Step-by-step explanation:

Bobby is 8 because 8*2=16. and 16+8=24

Answer:

42

Step-by-step explanation:

hey 42+9=51 so this can be the ✔️answer

To prove that triangle ABC is an isosceles right triangle, we need to show that two sides of the triangle are equal in length and one angle is a right angle.

Distance Formula:

The distance between two points (x₁, y₁) and (x₂, y₂) is given by the distance formula:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Using the distance formula, we can calculate the lengths of the three sides of the triangle:

Side AB: d₁ = √[(6 - (-2))² + (2 - 4)²] = √[8² + (-2)²] = √(64 + 4) = √68

Side BC: d₂ = √[(1 - 6)² + (-1 - 2)²] = √[(-5)² + (-3)²] = √(25 + 9) = √34

Side AC: d₃ = √[(-2 - 1)² + (4 - (-1))²] = √[(-3)² + 5²] = √(9 + 25) = √34

Slope Formula:

The slope between two points (x₁, y₁) and (x₂, y₂) is given by the slope formula: m = (y₂ - y₁) / (x₂ - x₁)

Using the slope formula, we can calculate the slopes of the three sides of the triangle:

Slope AB:

m₁ = (2 - 4) / (6 - (-2)) = (-2) / 8 = -1/4

Slope BC:

m₂ = (-1 - 2) / (1 - 6) = (-3) / (-5) = 3/5

Slope AC:

m₃ = (4 - (-1)) / (-2 - 1) = 5 / (-3) = -5/3

From the distances calculated and the slopes of the sides, we can see that side AB is equal in length to side BC (both √34), indicating that two sides are equal. Additionally, the slope of side AC (m₃ = -5/3) is the negative reciprocal of the slope of side AB (m₁ = -1/4), indicating that the two sides are perpendicular, and hence, one angle is a right angle.

Therefore, triangle ABC is an isosceles right triangle.

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Answer:

a) $452.50 b) $0

Step-by-step explanation:

Let's answer Part A first.

The final cost of the rental will be called X

x = (37.45 * 10) + 78

x  = 374.50 + 78

x = $452.50

Part B:

There is no cost for mileage.

Answer:

Y=40X

Step-by-step explanation:

Here is the full question:

Triangle ABC is a right-triangle and sin(53o) = StartFraction 4 Over x EndFraction. Solve for x & round to the nearest whole number.

Triangle A B C is shown. Angle A C B is a right angle and angle B A C is 53 degrees. The length of B C is 4 centimeters, the length of A C is y, and the length of hypotenuse A B is x.

Which equation correctly use the value of x to represents the cosine of angle A?

cos(53o) = StartFraction 4 Over x EndFraction cos(53o) = StartFraction y Over 5 EndFraction cos(53o) = StartFraction x Over 4 EndFraction cos(53o) = StartFraction 5 Over y EndFraction

Answer:

cos(53°) = StartFraction y Over 5 EndFraction

Step-by-step explanation:

From the information above:

The sketch of the triangle is drawn and attached in the diagram below.

To find x using the sine rule,

We know that:

\(Sin \theta = \dfrac{opposite}{hypothenuse}\)

∴

\(Sin (53^0) = \dfrac{4}{x}\)

Making x the subject of the formula:

\(x = \dfrac{4}{Sin \ 53^0}\)

\(x = \dfrac{4}{0.7986}\)

\(x \simeq 5\)

Now, the equation that correctly uses the value of x can be determined by finding the cosine of ∠ A.

Recall that:

\(Cos \theta = \dfrac{adjacent}{hypothenuse}\)

\(Cos \ 53^0 = \dfrac{y}{x}\)

where; x = 5

\(Cos \ 53^0 = \dfrac{y}{5}\)

Thus, the equation that correctly uses the value of x to represent the cosine of angle A is:

cos(53°) = StartFraction y Over 5 EndFraction

Answer:

simple answer B

Step-by-step explanation:

11.5

Step-by-step explanation: