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gavmur [86]
3 years ago
7

Parallelogram JKLM is half as wide as it is long. If side Which statements are true? Select all that apply.

Mathematics
1 answer:
Alecsey [184]3 years ago
6 0

Answer:1,2,4,6

Step-by-step explanation:

I just finished this assignment!!! Good luck and God bless.

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X2 + 8x + 19 = 0 What is the equivilent that results from completing the square?
IrinaVladis [17]

Answer:

(x+4)^2+3=0

Step-by-step explanation:

Hey there!

Standard form is what this equation is in

Standard form is this: ax^2+bx+c

So order to complete the square, you need to take the b term out of the equation, divide it by two, and then square it

In this case, the b term is 8

We need to divide 8 by 2 ---> 4

Then square 4 ---> 16

So now you should add 16 to both sides

x^2+8x+16+19=16

Now you can simplify the LHS

(x+4)^2 +19=16

Now you subtract 16 from both sides

(x+4)^2+3=0

So this is as far as you can go since you cannot take the square root of a negative number

5 0
2 years ago
A company surveyed 2500 men where 1225 of the men identified themselves as the primary grocery shopper in their household. ​a) E
professor190 [17]

Answer:

a) The 98% confidence interval for the population proportion of males who identify themselves as the primary grocery shopper is (0.457, 0.503).

b) The null hypothesis that the proportion is equal or less than 44% will be rejected at this level of significance.

c) The level of significance is 2%.

This is the expected probability that the sample proportion fall outside the acceptance region due to pure chance, if the null hypothesis is true.

Step-by-step explanation:

a) The conditions are:

- randomization: it is assumed to be a random sample.

- independence: the sample responses are independent of each other.

- 10% condition: we don't know the size of the population, but the sample is assumed to be less than 10% of the population.

- sample size: the sample size is bigger than 30, so it is satisfied.

We have to calculate a 98% confidence interval for the proportion.

The sample proportion is p=0.48.

p=X/n=1225/2550=0.48

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.48*0.52}{2550}}\\\\\\ \sigma_p=\sqrt{0.0001}=0.0099

The critical z-value for a 98% confidence interval is z=2.326.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_p=2.326 \cdot 0.0099=0.023

Then, the lower and upper bounds of the confidence interval are:

LL=p-z \cdot \sigma_p = 0.48-0.023=0.457\\\\UL=p+z \cdot \sigma_p = 0.48+0.023=0.503

The 98% confidence interval for the population proportion of males who identify themselves as the primary grocery shopper is (0.457, 0.503).

b) Our confidence interval tells us that there is 98% confidence that the true proportion o males who identify themselves as the primary grocery shopper is within 0.457 and 0.503.

The propotion 0.44 is outside of this interval, so if the claim is that the proportion is higher than 44%, the null hypothesis will state that the true proprotion is equal or less than 0.44.

With the information we have, at this level of significance (2%), the null hypothesis will be rejected.

c) The level of significance that corresponds to the 98% confidence interval is α=2%.

This is the expected probability that the sample proportion fall outside the acceptance region (which matches with the confidence interval) due to pure chance, if the null hypothesis is true.

5 0
3 years ago
Simplify the following expression:
lana66690 [7]

Answer:

2 21/40

Step-by-step explanation:

First, you take the fractions in the parenthesis and make the denominators alike by finding the least common multiple. Once you've done that you can add them together and then add the outer fraction. When adding the outer fraction, you need to make it into an improper fraction. I hope this helped! :)

3 0
2 years ago
On average, a largemouth bass weighs about 12 pounds. Two fishermen weighed the largemouth bass they both caught and found their
vagabundo [1.1K]

Answer:

around 7

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Helppppppppppppppppppppppppppppppppppppppppppppp
Andrei [34K]

Answer: 80% of the air is made up of other gases.

Step-by-step explanation:

1/5 = 2/10. There are 8/10 left over which is 80%. Hope this helps!

8 0
2 years ago
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