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kaheart [24]
3 years ago
8

To the nearest hundredth, what is the length of line segment AB ?

Mathematics
1 answer:
sladkih [1.3K]3 years ago
8 0
The answer is 5.83
Use the Pythagorean Theorem to calculate the 3rd side length.
a^2+b^2=c^2
3^2+5^2=c^2
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Standard to slope intercept form: 2x+2y=4
Fofino [41]
The answer would be, y=-x+2
3 0
3 years ago
Suppose a large consignment of cell phones contained 19% defectives. If a sample of size 399 is selected, what is the probabilit
deff fn [24]

Answer:

0.88% probability that the sample proportion will differ from the population proportion by more than 5%

Step-by-step explanation:

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 = \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.

For proportions p in a sample of size n, we have that \mu = p, \sigma = \sqrt{\frac{p(1-p)}{n}}

In this problem:

\mu = 0.19, \sigma = \sqrt{\frac{0.19*0.81}{399}} = 0.0191

What is the probability that the sample proportion will differ from the population proportion by more than 5%?

Less than 0.19 - 0.05 = 0.14 or greater than 0.19 + 0.04 = 0.24. Since the normal distribution is symmetric these probabilities are equal, which means that we can find one of them and multiply by 2. So

Probability of being less than 0.14.

pvalue of Z when X = 0.14. So

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

Z = \frac{0.14 - 0.19}{0.0191}

Z = -2.62

Z = -2.62 has a pvalue of 0.0044

2*0.0044 = 0.0088

0.88% probability that the sample proportion will differ from the population proportion by more than 5%

3 0
3 years ago
3 times a number x, subtracted from 18 is less than -90
Shalnov [3]

Answer:

x > -24

Step-by-step explanation:

18 - 3x < 90

Subtract 18 from both sides.

-3x < 72

Divide both sides by -3. (When diving by a negative, flip the sign.)

x > -24

5 0
3 years ago
Helppppp is this correct
lesya [120]

Answer:

yesssssssssssssssssssss

Step-by-step explanation:

your correct

8 0
3 years ago
Read 2 more answers
1 gram of sugar costs 5400<br> how much would 1 ton cost?
nydimaria [60]

Answer:

5400000000

Step-by-step explanation:

1gram=5400

1kg=5400*1000 (1kg=1000gm)

=5400000

1quntal=5400000*100 (1quntal=100kg)

=540000000

1ton=540000000*10 (1ton=10 quntal)

=5400000000

7 0
2 years ago
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