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guapka [62]
2 years ago
13

-3/4.-5/7 = -15/28 Do you agree with Noah's answer? Explain why or why not.

Mathematics
2 answers:
VARVARA [1.3K]2 years ago
8 0

Answer: Yes

Step-by-step explanation: Simply multiply the numerators and denominators separately:

artcher [175]2 years ago
6 0

Answer:

no

Step-by-step explanation:

because -3/4- 5/7= -41/28 and when simplified it is -1 13/28

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In a process that manufactures bearings, 90% of the bearings meet a thickness specification. A shipment contains 500 bearings. A
Marina86 [1]

Answer:

(a) 0.94

(b) 0.20

(c) 90.53%

Step-by-step explanation:

From a population (Bernoulli population), 90% of the bearings meet a thickness specification, let p_1 be the probability that a bearing meets the specification.

So, p_1=0.9

Sample size, n_1=500, is large.

Let X represent the number of acceptable bearing.

Convert this to a normal distribution,

Mean: \mu_1=n_1p_1=500\times0.9=450

Variance: \sigma_1^2=n_1p_1(1-p_1)=500\times0.9\times0.1=45

\Rightarrow \sigma_1 =\sqrt{45}=6.71

(a) A shipment is acceptable if at least 440 of the 500 bearings meet the specification.

So, X\geq 440.

Here, 440 is included, so, by using the continuity correction, take x=439.5 to compute z score for the normal distribution.

z=\frac{x-\mu}{\sigma}=\frac{339.5-450}{6.71}=-1.56.

So, the probability that a given shipment is acceptable is

P(z\geq-1.56)=\int_{-1.56}^{\infty}\frac{1}{\sqrt{2\pi}}e^{\frac{-z^2}{2}}=0.94062

Hence,  the probability that a given shipment is acceptable is 0.94.

(b) We have the probability of acceptability of one shipment 0.94, which is same for each shipment, so here the number of shipments is a Binomial population.

Denote the probability od acceptance of a shipment by p_2.

p_2=0.94

The total number of shipment, i.e sample size, n_2= 300

Here, the sample size is sufficiently large to approximate it as a normal distribution, for which mean, \mu_2, and variance, \sigma_2^2.

Mean: \mu_2=n_2p_2=300\times0.94=282

Variance: \sigma_2^2=n_2p_2(1-p_2)=300\times0.94(1-0.94)=16.92

\Rightarrow \sigma_2=\sqrt(16.92}=4.11.

In this case, X>285, so, by using the continuity correction, take x=285.5 to compute z score for the normal distribution.

z=\frac{x-\mu}{\sigma}=\frac{285.5-282}{4.11}=0.85.

So, the probability that a given shipment is acceptable is

P(z\geq0.85)=\int_{0.85}^{\infty}\frac{1}{\sqrt{2\pi}}e^{\frac{-z^2}{2}=0.1977

Hence,  the probability that a given shipment is acceptable is 0.20.

(c) For the acceptance of 99% shipment of in the total shipment of 300 (sample size).

The area right to the z-score=0.99

and the area left to the z-score is 1-0.99=0.001.

For this value, the value of z-score is -3.09 (from the z-score table)

Let, \alpha be the required probability of acceptance of one shipment.

So,

-3.09=\frac{285.5-300\alpha}{\sqrt{300 \alpha(1-\alpha)}}

On solving

\alpha= 0.977896

Again, the probability of acceptance of one shipment, \alpha, depends on the probability of meeting the thickness specification of one bearing.

For this case,

The area right to the z-score=0.97790

and the area left to the z-score is 1-0.97790=0.0221.

The value of z-score is -2.01 (from the z-score table)

Let p be the probability that one bearing meets the specification. So

-2.01=\frac{439.5-500  p}{\sqrt{500 p(1-p)}}

On solving

p=0.9053

Hence, 90.53% of the bearings meet a thickness specification so that 99% of the shipments are acceptable.

8 0
3 years ago
What is thirty two percent of fifty six
mojhsa [17]

Answer: 17.92

Step-by-step explanation:

32% of 56  

Change to fraction

32 /100 x 56

Change to decimal

0.32 x 56

= 17.92

5 0
3 years ago
Is it true that Terms with no variables are like terms?
oksano4ka [1.4K]

Answer:

yes

Step-by-step explanation:

8 0
3 years ago
The diameter of a circle is 1.4 centimeters. Find its area. Use 3.14 Round to the nearest
NeTakaya

Answer:

Area = 1.54

Step-by-step explanation:

Area = πr^{2}

π = 3.14

diameter = 1.4

radius (half of diameter) = 0.7

Area = 3.14 x 0.7^{2}

Area = 3.14 x 0.49

Area = 1.5386

round to the nearest hundredth:

1.5386 = 1.54

8 0
3 years ago
Read 2 more answers
What does 25 1/2 + 18 1/5 equal to?
umka21 [38]
<span>25 1/2 + 18 1/5
=</span><span>25 5/10 + 18 2/10
=43 7/10</span>
7 0
3 years ago
Read 2 more answers
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