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3 years ago

Find x. Round to the nearest tenth. 7-cm 7-cm 10 cm x= [ ? ]cm

Mathematics

1 answer:

notka56 [123]3 years ago

3 0

Answer:

4.9

Step-by-step explanation:

use congruent triangles. we has 7 /10 = x/ 7

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Find the rate of change

Kazeer [188]

The rate of change is 500.

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3 years ago

Express the vector ModifyingAbove Upper P 1 Upper P 2 with right arrowP1P2 in the form Bold v equals v 1 Bold i plus v 2 Bold j

Tatiana [17]

Answer:

$\overrightarrow{P_1P_2}=-5\textbf{i}-4\textbf{j}-6\textbf{k}$

Step-by-step explanation:

$\overrightarrow{P_1P_2}=(P_2-P_1)\cdot(\textbf{i},\textbf{j},\textbf{k})=(-5-0)\textbf{i}+(-3-1)\textbf{j}+(-9-(-3))\textbf{k}\\\\\overrightarrow{P_1P_2}=-5\textbf{i}-4\textbf{j}-6\textbf{k}$

3 0

3 years ago

Assume that the probability of a defective computer component is 0.02. Components arerandomly selected. Find the probability tha

solmaris [256]

Answer:

0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.

The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.

Step-by-step explanation:

Assume that the probability of a defective computer component is 0.02. Components are randomly selected. Find the probability that the first defect is caused by the seventh component tested.

First six not defective, each with 0.98 probability.

7th defective, with 0.02 probability. So

$p = (0.98)^6*0.02 = 0.0177$

0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.

Find the expected number and variance of the number of components tested before a defective component is found.

Inverse binomial distribution, with $p = 0.02$

Expected number before 1 defective(n = 1). So

$E = \frac{n}{p} = \frac{1}{0.02} = 50$

Variance is:

$V = \frac{np}{(1-p)^2} = \frac{0.02}{(1-0.02)^2} = 0.0208$

The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.

5 0

3 years ago

PLEASE ANSWER QUICK A manufacturing facility pays its employees an average wage of $4.50 an hour with a standard deviation of 50

evablogger [386]

Answer:

B.77.4%

Step-by-step explanation:

Mean wage (μ) = $4.50

Standard deviation (σ) = $0.50

For nay given salary X, the z-score is given by:

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

For X = $3.75, the z-score is:

$z=\frac{3.75-4.50}{0.50}\\z=-1.5$

For X = $5.00, the z-score is:

$z=\frac{5.00-4.50}{0.50}\\z=1$

A z-score of -1.5 corresponds to the 6.68th percentile, while a score of 1 corresponds to the 84.13th percentile. Therefore, the percentage of workers getting paid between $3.75 and $5.00 an hour is:

$P=84.13-6.68\\P=77.45\%$

The answer is alternative B.77.4%

8 0

3 years ago

Tawana has $325.54 in her checking account. She must keep a balance of at least $300 to avoid a fee. She plans to write a check

den301095 [7]

Answer: To pay her bill with the minimum balance to avoid the fee, she needs the total amountof $300+$125.43=$425.43. But she only has $325.54. So, the extra minimum amount she needs to deposit is 425.43-325.54=$99.89.

Hence, the answer is $99.89.

6 0

3 years ago

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Find x. Round to the nearest tenth. 7-cm 7-cm 10 cm x= [ ? ]cm​

Find x. Round to the nearest tenth. 7-cm 7-cm 10 cm x= [ ? ]cm