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2 years ago

A number x divided by 7 is less than or equal to -19

Mathematics

1 answer:

Verdich [7]2 years ago

8 0

Answer:

x-7 > -19

Step-by-step explanation:

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A. What would be the cost of the Standard Daily Rate plus Mileage plan?

Jobisdone [24]

Answer:

Part a) $\$190$

Part b) $\$315$

Part c) Standard Daily Rate plus Mileage plan

Step-by-step explanation:

Part a) What would be the cost of the Standard Daily Rate plus Mileage plan?

Let

y ----> the total cost

x ----> the number of kilometers

we have that

For a Luxury car

$y=70+0.30x$

For x=400 km

substitute

$y=70+0.30(400)$

$y=\$190$

Part b) What would be the cost of the Unlimited Mileage plan?

we know that

The Unlimited Mileage plan for a Luxury car is $105 per day (see the table)

The trip are three days

To find the total cost multiply $105 by 3

$3(\$105)=\$315$

Part c) Which is the better plan?

Compare

$\$190 < \$315$

therefore

For this trip the better plan is the Standard Daily Rate plus Mileage plan

7 0

3 years ago

Write a real word problem that involves finding the product of 3/4 and 1/8

jekas [21]

A carpenter wants you to find the surface area of a shelf top. The length of the shelf is 3/4 m and the depth is 1/8 m.

8 0

3 years ago

Find the derivative of 3e^y+x=y

Sindrei [870]

You have the following function:

$y=3e^y+x$

Derivate implictly the previous expression, as follow:

$y^{\prime}=3e^yy^{\prime}+1$

Where you have used that:

$(e^y)^{\prime}=e^yy^{\prime}$

Then, the implicit derivative of the given expression is:

$y^{\prime}=3e^yy^{\prime}+1$

Next, solve for y' as follow:

$\begin{gathered} y^{\prime}-3e^yy^{\prime}=1 \\ (1-3e^y)y^{\prime}=1 \\ y^{\prime}=\frac{1}{1-3e^y} \end{gathered}$

4 0

10 months ago

A large school district in southern California asked all of its eighth-graders to measure the length of their right foot at the

Ber [7]

Answer:

The probability of the sample mean foot length less than 23 cm is 0.120

Step-by-step explanation:

* Lets explain the information in the problem

- The eighth-graders asked to measure the length of their right foot at

the beginning of the school year, as part of a science project

- The foot length is approximately Normally distributed, with a mean of

23.4 cm

∴ μ = 23.4 cm

- The standard deviation of 1.7

∴ σ = 1.7 cm

- 25 eighth-graders from this population are randomly selected

∴ n = 25

- To find the probability of the sample mean foot length less than 23

∴ The sample mean x = 23, find the standard deviation σx

- The rule to find σx is σx = σ/√n

∵ σ = 1.7 and n = 25

∴ σx = 1.7/√25 = 1.7/5 = 0.34

- Now lets find the z-score using the rule z-score = (x - μ)/σx

∵ x = 23 , μ = 23.4 , σx = 0.34

∴ z-score = (23 - 23.4)/0.34 = -1.17647 ≅ -1.18

- Use the table of the normal distribution to find P(x < 23)

- We will search in the raw of -1.1 and look to the column of 0.08

∴ P(X < 23) = 0.119 ≅ 0.120

* The probability of the sample mean foot length less than 23 cm is 0.120

4 0

3 years ago

Which congruence criteria is met in the following scenario?

Arisa [49]

None because the triangles have different lines

7 0

2 years ago