Megan bought 50 beads for $9.95. she received a 10% discount, she paid a sales tax of 6%. how much did she pay fro the beads

Answers

Answer 1

Answer: $9.49; 10% of $9.95 is $0.995 which rounds up to a dollar; $9.95 - $1.00 = $8.95; 6% of $8.95 = $0.537 which rounds up to $0.54, so total paid is $8.95 + $0.54 = $9.49.

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5a=a+40 Solve for a 3b=10b-49 Solve for b
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Find the constant of variation k for the direct variation. A . K = -2

B . K = 2

C . K = -0.5

D . K= -1.5

Answers

Answer:

K = -2

Step-by-step explanation:

If y varies directly as x, k (constant) can be found by dividing the y-coordinate by the x-coordinate.

$k = (2)/(-1) = -2$

Answer:

Step by step explanation

HEY CAN YALL PLS ANSWER DIS RQ

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

PLEASE HELP !!!!!!!!!

Answers

Answer: bottom one I think

Step-by-step explanation:

In ΔPQR, sin P= 3/4, sin R= 2/5, and p=40. Find the exact value of r.

Answers

Hello,

sin (P)/p=sin (R)/r
==>r=sin (P)/(p* sin (R))
r= (3/4)/(40*2/5)
r=3/4 * 5 /(40*2)=(3/4) /16=3/64

A manufacturing process is designed to produce bolts with a 0.75-inch diameter. Once each day, a random sample of 36 bolts is selected and the bolt diameters recorded. If the resulting sample mean is less than 0.730 inches or greater than 0.770 inches, the process is shut down for adjustment. The standard deviation for diameter is 0.04 inches. What is the probability that the manufacturing line will be shut down unnecessarily? (Hint: Find the probability of observing an x in the shutdown range when the true process mean really is 0.75 inches. Round your answer to four decimal places.)

Answers

Answer:

0.0026 = 0.26% probability that the manufacturing line will be shut down unnecessarily

Step-by-step explanation:

We need to understand the normal probability distribution and the central limit theorem to solve this question.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = (X - \mu)/(\sigma)$

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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = (\sigma)/(√(n))$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

$\mu = 0.75, \sigma = 0.04, n = 36, s = (0.04)/(√(36)) = 0.0067$

What is the probability that the manufacturing line will be shut down unnecessarily?

Less than 0.73 or more than 0.77.

Less than 0.73

pvalue of Z when X = 0.73

$Z = (X - \mu)/(\sigma)$

By the Central Limit Theorem

$Z = (X - \mu)/(s)$

$Z = (0.73 - 0.75)/(0.0067)$

$Z = -3$

$Z = -3$ has a pvalue of 0.0013

More than 0.77

$Z = (X - \mu)/(s)$

$Z = (0.77 - 0.75)/(0.0067)$

$Z = 3$

$Z = 3$ has a pvalue of 0.9987

1 - 0.9987 = 0.0013

2*0.0013 = 0.0026

0.0026 = 0.26% probability that the manufacturing line will be shut down unnecessarily

Approximately 15% of the shirts at windsor and best garment factory are labeled irregular and di not receive the windsor and best label. At this rate how many shirts neef to be made to produce approximately 500 Windsor and Best shirts are not irregular?

Answers

500 is 15% less than the number that need to be made, because 15% of
the number that are made will be irregulars.

Remember that 15% = 0.15

500 = 85% of the number.

500 = 0.85 of the number.

Divide each side by 0.85 :

The number = 500 / 0.85 = 589 shirts

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