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oksano4ka [1.4K]
3 years ago
13

Emily jogged 8 miles due north, then turned east and jogged 15 miles. How many miles is

Mathematics
1 answer:
elena55 [62]3 years ago
8 0

Answer:

The answer is 120

Step-by-step explanation:

I got it by timing 8 and 15 , and I got 120

You might be interested in
If cos theta=-3/5 in quadrant 2 what is sin theta?<br><br> A:4/5<br> B:3/4<br> C:-3/4<br> D:-4/5
Scrat [10]
Answer: Choice A) 4/5

-------------------------------------------

Work Shown:

cos^2(theta) + sin^2(theta) = 1
(-3/5)^2 + sin^2(theta) = 1
9/25 + sin^2(theta) = 1
9/25 + sin^2(theta) - 9/25 = 1 - 9/25
sin^2(theta) = 1 - 9/25
sin^2(theta) = 25/25 - 9/25
sin^2(theta) = (25 - 9)/25
sin^2(theta) = 16/25
sqrt[sin^2(theta)] = sqrt[16/25]
sin(theta) = 4/5

The fact that sine is positive in quadrant 2 means that the result is positive.
8 0
3 years ago
The Damon family owns a large grape vineyard in western New York along Lake Erie. The grapevines must be sprayed at the beginnin
solniwko [45]

Answer:

Step-by-step explanation:

This is a test of 2 population proportions. Let 1 and 2 be the subscript for the the vines infested using Pernod 5 and vines infested using Action. The population proportion of the vines infested using Pernod 5 and vines infested using Action would be p1 and p2 respectively.

p1 - p2 = difference in the proportion of the vines infested using Pernod 5 and vines infested using Action.

The null hypothesis is

H0 : p1 = p2

p1 - p2 = 0

The alternative hypothesis is

Ha : p1 ≠ p2

p1 - p2 ≠ 0

it is a two tailed test

Sample proportion = x/n

Where

x represents number of success(number of complaints)

n represents number of samples

For vines infested using Pernod 5,

x1 = 26

n1 = 410

p1 = 26/410 = 0.063

For vines infested using Action,

x2 = 39

n2 = 400

P2 = 39/400 = 0.098

The pooled proportion, pc is

pc = (x1 + x2)/(n1 + n2)

pc = (26 + 39)/(410 + 400) = 0.08

1 - pc = 1 - 0.08 = 0.92

z = (p1 - p2)/√pc(1 - pc)(1/n1 + 1/n2)

z = (0.063 - 0.098)/√(0.08)(0.92)(1/410 + 1/400) = - 0.035/0.019066

z = - 1.84

Since it is a two tailed test, the curve is symmetrical. We will look at the area in both tails. Since it is showing in one tail only, we would double the area

From the normal distribution table, the area below the test z score in the left tail 0.033

We would double this area to include the area in the right tail of z = 1.84 Thus

p = 0.033 × 2 = 0.066

By using the p value,

Since alpha, 0.01 < than the p value, 0.066, then we would fail to reject the null hypothesis.

Therefore, At a 1% level of significance, we cannot conclude that there is a difference in the proportion of vines infested using Pernod 5 as opposed to Action

5 0
3 years ago
admissions to a carnival is $5 and each game at the carnival costs 0.85 you have $15 to spend on admissions and games what is th
prisoha [69]
You have $15 and admission is $5, so you know have $10 before doing any games. If you wanted to play 12 games, you would need $10.20, which you do not have. But, if you wanted to play 11 games, then you would need $9.35, which is just under $10.

So the maximum amount of games that you could play would be 11 games. 
8 0
3 years ago
Find the measure of each angle indicated round to nearest tenth
ludmilkaskok [199]
Is this for a online final if it is I can’t help
3 0
3 years ago
Given a cylinder with a radius of 5cm and a height of 8 cm, find the volume of the cylinder. Use 3.14 for T.
Radda [10]

Answer: V=628cm³

Step-by-step explanation:

V=(3.14)r²h

V=(3.14)(5²)(8)

V=628cm²

Hope this helps! Have a great night!

6 0
2 years ago
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