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3 years ago

The consecutive angles of a parallelogram are congruent A) Always. B) Sometimes. C) Never

Mathematics

1 answer:

vovikov84 [41]3 years ago

4 0

This is sometimes, since a rectangle is a parallelogram and the consecutive angles are equal (90 degrees each)
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P(x)=3x^3+64x^2+64x+27, find all the possible zeros

galina1969 [7]

If you have a TI-84 graphing calculator, you should type the function in using the y= key and hit 2nd calculate to let the calculator calculate the zeroes for you.
x=-20.30, the rest are imaginary

4 0

2 years ago

A city has a 5% sales tax.

Tcecarenko [31]

Answer:

Yes,

There is a direct proportional relationship between the cost of items before tax and the cost of items after tax.

Step-by-step explanation:

Given - A city has a 5% sales tax.

To find - Is there a proportional relationship between the cost of items

before tax and the cost of items after tax?

Proof -

Yes, cost of items before tax is directly proportional to cost of items after tax.

Reason -

With the increase in the sales tax, there is increase in the cost of items after tax, therefore, there is a direct relation between cost of items before tax and cost of items after tax.

8 0

2 years ago

Suppose that, in an experimental setting, 100 students are asked to choose between Gamble A and Gamble B, where: Gamble A: The s

Stolb23 [73]

<h3>Answer: $2600</h3>

Focus on Gamble B only. Multiply each winnings with their corresponding probabilities.

5100*0.50 = 2550

200*0.25 = 50

0*0.25 = 0

Add up those results: 2550+50+0 = 2600

The expected value of gamble B is $2600

4 0

3 years ago

The slope of the _________________ is determined by the relative price of the two goods, which is calculated by taking the price

DochEvi [55]

Answer:

The answer is - budget constraint

Step-by-step explanation:

The slope of the <u>budget constraint</u> is determined by the relative price of the two goods, which is calculated by taking the price of one good and dividing it by the price of the other good.

A budget constraint happens when a consumer demonstrates limited consumption patterns by a certain income.

6 0

2 years ago

The average weight of a male labrador retriever is believed to be well-approximated by a normal distribution with mean 71.5 lbs

Oliga [24]

Answer: We will reject the null hypothesis.

Step-by-step explanation:

Since we have given that

Mean μ = 71.5 lbs

Standard deviation σ = 7.5 lbs

So, the hypothesis are given below:

$H_0:\mu =71.5\\\\H_1:\mu \neq 71.5$

Since α = 5% level of significance = 0.05

So, there is two tail test.

Critical values of z are 1.96 and -1.96.

So, we will reject H₀ if z<-1.96 or z>1.96

So, first we will find the value of z.

$z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}\\\\\\x=\dfrac{80-71.5}{\dfrac{7.5}{\sqrt{15}}}\\\\\\z=4.39$

According to test statistic approach:

Since z >1.96

as 4.39>1.96

So, we will reject the null hypothesis.

4 0

2 years ago