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3 years ago

Is y=2x+7 a linear function? use a complete sentence to explain why or why not.

2 answers:

6 0

Yes, because if you were to put multiple factors into the equation, you would have multiple points to graph, and they would make a steady, straight line on the graph.

kompoz [17]3 years ago

5 0

Yes cuz it's in y=mx+ b form, it makes straight line

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Please help with math

densk [106]

Answer:

The triangular prism is a better deal because you get 204 in³ for the same price you would pay for 128 in³ with a trapezoidal prism.

Step-by-step explanation:

The trapezoidal prism has volume 32*4=128 cubic inches. The triangular prism has volume 34*6=204 inches. Since the triangular prism is more voluminous, it is the better deal. Hope this helps!

3 0

3 years ago

Read 2 more answers

Vincent and Jean are two cooks who work in a village. Each of them can either bake cakes or make pizzas. Every ingredient is rea

babymother [125]

Answer:

a) Jean b) Jean c) Vincent d) Jean

Step-by-step explanation:

We are given the following information in the question.

Vincent can bake 10 cakes or make 5 pizzas

Jean can bake 12 cake or make 8 pizzas.

a) Absolute advantage of baking cake

Jean has the absolute advantage of baking cake as he can bake more cakes as compared to Vincent.

b) Absolute advantage of making pizza

Jean has the absolute advantage of making pizza as he can make more pizzas as compared to Vincent.

In order to find comparative advantage, we find the opportunity cost which can be defined as:

$\text{Opportunity Cost} = \displaystyle\frac{\text{What one sacrifices}}{\text{What one gains}}$

c) Comparative advantage in baking cakes

Opportunity cost of Vincent for baking cakes = $\frac{5}{10} = \frac{1}{2}$

Opportunity cost of Jean for baking cakes = $\frac{8}{12} = \frac{2}{3}$

The less is the opportunity cost the better, hence, Vincent has comparative advantage in baking cakes.

d) Comparative advantage in making pizzas

Opportunity cost of Vincent for making pizzas = $\frac{10}{5} = 2$

Opportunity cost of Jean for making pizzas = $\frac{12}{8} = \frac{3}{2}$

The less is the opportunity cost the better, hence, Jean has comparative advantage in making pizzas.

8 0

3 years ago

The mean age of 5 people in a room is 36 years. A person enters the room. The mean age is now 39. What is the age of the person

____ [38]

Your answer is 36.5. Hope this helps!

7 0

3 years ago

The quality control manager of a chemical company randomly sampled twenty 100-pound bags of fertilizer to estimate the variance

lisabon 2012 [21]

Answer:

The 95% confidence interval for the variance in the pounds of impurities would be $3.829 \leq \sigma^2 \leq 14.121$ .

Step-by-step explanation:

1) Data given and notation

$s^2 =6.62$ represent the sample variance

s=2.573 represent the sample standard deviation

$\bar x$ represent the sample mean

n=20 the sample size

Confidence=95% or 0.95

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population mean or variance lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

The Chi square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

On this case the sample variance is given and for the sample deviation is just the square root of the sample variance.

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=20-1=19$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical values.