PLATO!! Please help!

Cara belongs to a knitting group that meets at the local craft shop. From observations, she has hypothesized that people purchase knitting

needles only if they are also purchasing yarn.

To confirm her thinking, Cara surveyed five people who came into the shop at various times throughout the day and asked them about their

past purchases.

Which of these factors is the most likely to skew the results of Cara's observations?

А. The participants are not randomized.

B. The sample size is too small to represent the population,

C. People have to buy yarn at a craft shop.

D. A control group is needed for an observational study.

Answer: The second and the last answer are correct

Step-by-step explanation:

Answer:

The dpmo of the process is of 29000

Step-by-step explanation:

Dpmo of a process:

The dpmo of a process is the number of defects per million opportunities.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

First, using the normal distribution, we calculate the proportion of defective bubbles. Then, using this proportion, we calculate the dpmo.

Mean fill volume for rice bubbles is 475 grams and the standard deviation is 10 grams.

This means that [tex]\mu = 475, \sigma = 10[/tex]

The design specifications are [450, 495] grams. Any output outside of design specifications is treated as non-conforming.

Below 450 and Above 495 are non-conforming.

Below 450:

The proportion is the pvalue of Z when X = 450. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{450 - 475}{10}[/tex]

[tex]Z = -2.5[/tex]

[tex]Z = -2.5[/tex] has a pvalue of 0.0062

Above 495:

The proportion is 1 subtracted by the pvalue of Z when X = 495. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{495 - 475}{10}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

1 - 0.9772 = 0.0228

The proportion of defectives is 0.0228 + 0.0062 = 0.0290

Dpmo:

Number of defects per million, that is, the proportion multiplied by 1000000.

1000000*0.0290 = 29000

The dpmo of the process is of 29000

Answer:

X = 30 degrees, z = 80 degrees and y = 70 degrees

Answer:

Surface area = 80 cm²

Step-by-step explanation:

Surface Area of rectangular prism = 2(LW + LH + WH)

L = 4 cm

W = 4 cm

H = 3 cm

Plug in the values

Surface Area = 2(4*4 + 4*3 + 4*3) = 2(16 + 12 + 12)

Surface Area = 2(40) = 80 cm²

0.8 repeting

Step-by-step explanation: 1/6 times 64 divded by 12.

Answer:

He bought 5

Step-by-step explanation:

Answer:

Time of murder = 10:39 am

Step-by-step explanation:

Let the equation of exponential function representing the final temperature of the body after time 't' is,

f(t) = [tex]a(e)^{nt}[/tex]

Here, a = Initial temperature

n = Constant for the change in temperature

t = Duration

At 11:30 am temperature of the body was 91.8°F.

91.8 = [tex]98.6(e)^{nt}[/tex] --------(1)

Time to reach the body to the morgue = 12:30 pm

Duration to reach = 12:30 p.m. - 11:30 a.m.

                              = 1 hour

Therefore, equation will be,

84.4 = [tex]91.8(e)^{n\times 1}[/tex]

eⁿ = [tex]\frac{84.4}{91.8}[/tex]

ln(eⁿ) = ln(0.9194)

n = -0.08403

From equation (1),

91.8 = [tex]98.6(e)^{-0.08403t}[/tex]

[tex](e)^{0.08403t}=\frac{98.6}{91.8}[/tex]

[tex]ln[(e)^{0.08403t}]=ln[\frac{98.6}{91.8}][/tex]

0.08403t = 0.07146

t = 0.85 hours

t ≈ 51 minutes

Therefore, murder was done 51 minutes before the detectives arrival.

Time of murder = 11:30 - 00:51

                          = 10:90 - 00:51

                          = 10:39 am

Answer:

540

Step-by-step explanation:

We need 6 times 90 for the full amount.

Answer:

Total amount = 540

Step-by-step explanation:

let total amount = x

1/6 * x = 90

x = 540

Answer:

way too hard

Step-by-step explanation:

Answer:

it is 2,800 miles from ny to la

Step-by-step explanation:

Answer:

5 is their common denominator

Step-by-step explanation:

A common denominator is when both denominators are the same.

Answer:

5 is the common denominator of 3/5 and 2/5

Answer:

1 1/2 cups you multiply 1/8 ×12

Answer:

104 in total

6.5k+12a=18.5ka

Step-by-step explanation:

Answer:

271.25 mg

Step-by-step explanation:

The amount of medicine will be equal to 271.25 mg.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

It is given that a veterinarian prescribed Christy, a 31-pound dog, an antibacterial medication in case an infection emerges after her teeth were cleaned. The dosage is 8.75 mg for every pound.

The amount of medicine will be calculated as below:-

Amount = 31 x 8.75

Amount = 271.25 mg

Therefore, the amount of medicine will be equal to 271.25 mg.

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Answer:

$27

Step-by-step explanation:

According to your question. The complete cost was $135 for a fifteen feet long beam. If you are looking for the price per yard, a yard has three feet, therefore in fifteen feet, there are five yards.

15 divided into 3 equals 5

$135 divided into five equals $27

I hope this helps.

Consider the function f(x) = x ³. Since 2³ = 8 is a perfect cube that is pretty close to x = 1.999, take the linear approximation to f(x) at x = 2. It is

f(x) ≈ L(x) = f (2) + f ' (2) (x - 2)

Compute the derivative:

f(x) = x ³   →   f ' (x) = 3x ²   →   f ' (2) = 12

Then

L(x) = 8 + 12 (x - 2) = 12x - 16

Now approximate 1.999³ :

f (1.999) ≈ L (1.999) = 12•1.999 - 16 = 7.988

(Compare this to the actual value, 7.98801.)

Answer: 0.13

Step-by-step explanation:

Answer:

zero

Step-by-step explanation:

the slope does not change in y at all.

Answer:

So, I think you're talking about 180-118, which is 62

Step-by-step explanation:

180-118=62

No 4 can be factored from each term of the trinomial. Therefore, option C is the correct answer.

The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.

The given polynomial is x(4x²+8x+12).

Here, in the trinomial 4x²+8x+12, 4 is common factor in each term.

So, group and factor out the greatest common factor (GCF), then combine.

That is, 4(x²+2x+3)

Now, x(4x²+8x+12)= 4x(x²+2x+3)

Therefore, option C is the correct answer.

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Answer:

g(8) = 3(8)-2

g(8) = 24-2

g(8)= 22

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

x=52+y

x=5y

y=x/5

x=52+(x/5)

x-(x/5)=52

(5x-x)/5=52

4x=52×5

4x=260

x=260/4

x=65

Bunga is 65 yrs old

Metali is 13 yrs old

Answer:

55.5 percent of the way!!!!!!

Answer:

Some 224 people were in favor of the expansion.

Step-by-step explanation:

Given that, according to the recent poll, 22 1/4% of the people polled said that they approved of the city plan to expand the library, if 1004 people was polled, to determine how many were in favor of the expansion should be done the following calculation:

1/4 = 0.25

100 = 1004

22.25 = X

1004 x 22.25 / 100 = X

223.39 = X

Thus, some 224 people were in favor of the expansion.