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3 years ago

Part a : solve - vp + 40 < 65 for v .

Mathematics

1 answer:

miskamm [114]3 years ago

6 0

Answer:

$\large \text{Part a:}\\\\for\ d-\dfrac{25}{d}}$

$\large\text{Part b:}\\\\\boxed{r=\dfrac{7}{3}w-5}$

Step-by-step explanation:

$\text{Part a}\\\\-vp+400,\ \text{then}\ \boxed{v>-\dfrac{25}{d}}\\\\\text{if}\ d$

$\text{Part b}\\\\7w-3r=15\qquad\text{subtract 7w from both sides}\\\\-3r=-7w+15\qquad\text{divide both sides by (-3)}\\\\\boxed{r=\dfrac{7}{3}w-5}$

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Order the following numbers from least to greatest. Put the lowest number on the left. 2 -2 5 -5

natulia [17]

Answer:

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Step-by-step explanation:

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3 years ago

You have decided to purchase a car for $22,346.16. The credit union requires a 10% down payment and will finance the

sukhopar [10]

Answer:

(b) $\$24,169.60$

Step-by-step explanation:

Given: Cost of car is $\$22,346.16$

Sales tax is $7.6\%$

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To find: The amount that the credit union will finance.

Solution:

We have,

Cost of car $=\$22,346.16$

Sales tax is $7.6\%$ of $\$22,346.16$

Therefore,

sales tax $=\frac{7.6}{100}\times22,346.16=\$1698.31$

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Now, the amount that the credit union will finance is

cost of car $+$ sales tax $+$ the license and title charges

$=\$22346.16+\$1698.31+\$125.13$

$=\$24,169.60$

Hence, the amount that the credit union will finance is $\$24,169.60$ .

So, (b) $\$24,169.60$ is correct.

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3 years ago

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Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.3. (Round your ans

Maurinko [17]

Answer:

0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 50

Standard Deviation, σ = 1.3

Sample size, n = 12

We are given that the distribution of hardness of pins is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling =

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Calculation the value from standard normal z table, we have,

$P(x \geq 51) = 1 - 0.9961= 0.0039$

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