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2 years ago

What are the correct answers?

Mathematics

1 answer:

irinina [24]2 years ago

3 0

Answer:

BAKING TINS

Step-by-step explanation:

Use the Pythagorean Theorem to solve = $a^{2} +b^{2} = c^{2}$ .

2) 8² + 6² = c²

64 + 36 = 100

$\sqrt{100}$

x = 10 = I

3) 10² - 9² = a²

100 - 81 = 19

$\sqrt{19}$

x = 4.4 = G

4) 8.8² + 3.2² = c²

77.44 + 10.24 = 87.9

$\sqrt{87.9}$

x = 9.4 = B

5) 27² - 24² = a²

729 - 576 = 153

$\sqrt{153}$

x = 12.4 = S

6) 11² - 7² = a²

121 - 49 = 72

$\sqrt{72}$ = 8.5

13² + 8.5² = c²

169 + 72.25 = 241.25

$\sqrt{241.25}$

x = 15.5 = T

7) 22.1² + 14.2² = c²

488.41 + 201.64 = 690.1

$\sqrt{690.1}$

x = 26.3 = K

8) 32² + 41² = c²

1024 + 1681 = 2705

$\sqrt{2705}$

x = 52 = N

Hope it helps!

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Based on past experience, the main printer in a university computer centre is operating properly 90% of the time. Suppose inspec

yaroslaw [1]

Answer:

a) 38.74% probability that the main printer is operating properly for exactly 9 inspections.

b) Approximately 100% probability that the main printer is operating properly for at least 3 inspections.

c) The expected number of inspections in which the main printer is operating properly is 9.

Step-by-step explanation:

For each inspection, there are only two possible outcomes. Either it is operating correctly, or it is not. The probability of the printer operating correctly for an inspection is independent of any other inspection, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Based on past experience, the main printer in a university computer centre is operating properly 90% of the time.

This means that $p = 0.9$

Suppose inspections are made at 10 randomly selected times.

This means that $n = 10$

A) What is the probability that the main printer is operating properly for exactly 9 inspections.

This is $P(X = 9)$ . So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 9) = C_{10,9}.(0.9)^{9}.(0.1)^{1} = 0.3874$

38.74% probability that the main printer is operating properly for exactly 9 inspections.

B) What is the probability that the main printer is operating properly for at least 3 inspections?

This is:

$P(X \geq 3) = 1 - P(X < 3)$

In which

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.9)^{0}.(0.1)^{10} \approx 0$

$P(X = 1) = C_{10,1}.(0.9)^{1}.(0.1)^{9} \approx 0$

$P(X = 2) = C_{10,2}.(0.9)^{2}.(0.1)^{8} \approx 0$

Thus:

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0 + 0 = 0$

Then:

$P(X \geq 3) = 1 - P(X < 3) = 1 - 0 = 1$

Approximately 100% probability that the main printer is operating properly for at least 3 inspections.

C) What is the expected number of inspections in which the main printer is operating properly?

The expected value for the binomial distribution is given by:

$E(X) = np$

In this question:

$E(X) = 10(0.9) = 9$

3 0

2 years ago

Alek and Ann start walking around a track at the same time and at the same place. It takes Ann 6 minutes to walk around the trac

Yuki888 [10]

Answer:

3 3/7 minutes

Step-by-step explanation:

This calculated using the formula:

1/x + 1/y = 1/n

Where

x = Number of minutes it took Ann to walk = 6 minutes

y = Number of minutes it took Alek to walk = 8 minutes

n = Number of minutes it would take An and Alek to reach the starting point at the same time

1/6 + 1/8 = 1/n

Lowest Common Denominator = 24

4 + 3/24 = 1/n

7/24 = 1/n

Cross Multiply

7n = 24

n = 24/7

n = 3 3/7 minutes

It would take them 3 3/7 minutes to reach the starting point at the same time.

3 0

2 years ago

PLEASE HELP I GIVE THANKS

vichka [17]

Parallel lines implies that angle w(the known angle 58 degrees) is congruent to angle z(right next to angle 2) and that angle z is congruent to angle 5 because if corresponding angles are congruent to make angle 5 be 58 degrees
hope i helped

8 0

2 years ago

A recent survey of 50 executives who were laid off during a recent recession revealed it took a mean of 26 weeks for them to fin

drek231 [11]

Answer:

The pvalue of 0.0113 < 0.05 means that there is sufficient evidence to conclude that the mean time to find another position is less than 28 weeks at the 5% level of significance

Step-by-step explanation:

The null hypothesis is:

$H_{0} = 28$

The alternate hypotesis is:

$H_{1} < 28$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

A recent survey of 50 executives who were laid off during a recent recession revealed it took a mean of 26 weeks for them to find another position.

This means that $n = 50, X = 26$

Assume the population standard deviation is 6.2 weeks.

This means that $\sigma = 6.2$

Does the data provide sufficient evidence to conclude that the mean time to find another position is less than 28 weeks at the 5% level of significance

We have to find the pvalue of Z, looking at the z-table, when $\mu = 28$ . It if is lower than 0.05, it provides evidence.

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{26 - 28}{\frac{6.2}{\sqrt{50}}}$

$z = -2.28$

$z = -2.28$ has a pvalue of 0.0113 < 0.05.

The pvalue of 0.0113 < 0.05 means that there is sufficient evidence to conclude that the mean time to find another position is less than 28 weeks at the 5% level of significance

5 0

2 years ago

CAN SOMEONE PLEASE HELP ME WITH THESE!!!

Darya [45]

Answer:

for the first pic

1=133

2=47

3=47

4=133

5=133

6=47

7=47

8=133

the next pic

2,3 is a corresponding angle

1,2 is a verticle angle

the third pic

1=153

2=27

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

What are the correct answers?​

What are the correct answers?