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3 years ago

Five consecutive odd integers whose sum is 85

Mathematics

1 answer:

Katen [24]3 years ago

7 0

Answer:

13,15,17,19,21

Hope I helped! ☺

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∠3 and ∠4 are complementary angles. m∠4=49° What is the measure of ∠3 ?

tatyana61 [14]

Answer: complementary angles have 90 degrees therefore you have to do the following:

M<4 : 49

90-49=41

M<3=41

Step-by-step explanation:

8 0

2 years ago

Need help in solving this area of the shape attached

dybincka [34]

Answer:

105 cm squared

First find the area of the rectangle

length x width = area

6 x 15 =90

Now find area of triangle

subtract 11-6 and 15-9 to get the dimensions for the triangle

5 and 6 are the dimensions

Length x height / 2 = area of triangle

5 x 6 = 30

30 / 2 = 15

add the areas together

90 + 15 = 105

105 cm squared

hope this helps

Step-by-step explanation:

7 0

2 years ago

Rosa's test scores are 78, 92, 88, and 89. What must she score on her next test to have an average of 90? A) 95 B) 97 C) 99 D) 1

Morgarella [4.7K]

Answer: D

Step-by-step explanation:

Let x represent the score on her next test

$\frac{78 + 92 + 88 + 89 + x}{5} = 90$

$(5)\frac{78 + 92 + 88 + 89 + x}{5} = (5)90$

78 + 92 + 88 + 89 + x = 5(90)

347 + x = 450

-347 -347

x = 103

3 0

2 years ago

A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a ne

Leto [7]

Answer:

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative.

This means that $n = 533, \pi = \frac{351}{533} = 0.6585$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a p-value of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 - 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6247$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 + 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6923$

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

6 0

3 years ago

An angle measures 6° less than the measure of a complementary angle. what is the measure of each angle?

Sauron [17]

A and 90-a is the measure of the two angles

a=90-a-6
2a=84
a=42
42° and 48°

3 0

3 years ago