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ipn [44]
3 years ago
8

What is the value of the expression when a = 4? 2a^3

Mathematics
1 answer:
dedylja [7]3 years ago
8 0
I hope this helps you

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A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes
atroni [7]

Answer:

The probability that this whole shipment will be​ accepted is 0.8382. Almost all such shipments be​ accepted as the probability of accepting is higher.

Step-by-step explanation:

Consider the provided information.

The probability for accepting the whole batch if there is only one or none that​ doesn't meet the required specifications.

Aspirin tablets actually has a 2​% rate of​ defects. Thus, the rate of aspirin tablets are not defected 98%.

Which can be written as:

P(x=0 or x=1)

P(no defects out of 36)=^{36}c_0 \times (0.02)^0 \times (0.98)^{36}

P(no defects out of 36)=0.483213128206

P(one defects out of 36)=^{36}c_1 \times (0.02)^1 \times (0.98)^{35}

P(one defects out of 36)=36 \times 0.02 \times (0.49307)

P(one defects out of 36)=0.3550104

The probability that the whole shipment will accepted is the sum of the individual probabilities which is:

0.4832+0.3550=0.8382

Hence, the probability that this whole shipment will be​ accepted is 0.8382. Almost all such shipments be​ accepted as the probability of accepting is higher.

4 0
3 years ago
All the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hou
beks73 [17]

Answer:

All the members of a construction crew work at the same pace. Four of them working together are able to pour concrete foundations in 32 hours.

Step-by-step explanation:

8 0
3 years ago
An article reported that in a large study carried out in the state of New York, approximately 60% of the study subjects lived wi
DerKrebs [107]

Answer:

95.86%.

Step-by-step explanation:

Problems of normally distributed samples can be 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 = \frac{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.

In this problem, we have that:

\mu = 0.6, \sigma = \sqrt{\frac{p(1-p)}{n}} = 0.0245

P(0.55 \leq x \leq 0.65

This probability is the pvalue of Z when X = 0.65 subtracted by the pvalue of Z when X = 0.55. So

X = 0.65

Z = \frac{X - \mu}{\sigma}

Z = \frac{0.65 - 0.6}{0.0245}

Z = 2.04

Z = 2.04 has a pvalue of 0.9793

X = 0.55

Z = \frac{X - \mu}{\sigma}

Z = \frac{0.55 - 0.6}{0.0245}

Z = -2.04

Z = -2.04 has a pvalue of 0.0207

So this probability is 0.9793 - 0.0207 = 0.9586 = 95.86%.

5 0
3 years ago
What is the slope of this line? <br> a. −15 <br> b. −5 <br> c. 5 <br> d. 15
salantis [7]
What is the equation
5 0
3 years ago
Read 2 more answers
Identify all of the root(s) of g(x) = (x2 + 3x - 4)(x2 - 4x + 29).
elena-s [515]

Answer:

1, -4, 2 + 5i, 2 - 5i

Step-by-step explanation:

First, I factor x^2 + 3x - 4

==> I get: (x - 1) (x +4)

Then, I factor (x^2 - 4x + 29)

==> And I get (2 + 5i) (2 - 5i)

You can use the quadratic formula to factor or use the "X" to solve them.

Hope this help!


8 0
3 years ago
Read 2 more answers
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