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3 years ago

Basic Algebra. Can you help me please?????

Mathematics

2 answers:

Gnom [1K]3 years ago

8 0

Answer:

angleEBC=86

angleDBC=7x+8

now,

86=7x+8+7x+8(because angle EBC is equal to two times of angleDBC)

14x+16=86

14x=70

x=5,,

poizon [28]3 years ago

5 0

Answer:

does BD bisect angle EBC?

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Since an instant replay system for tennis was introduced at a major tournament, men challenged 1406 referee calls, with the re

erastova [34]

Answer:

Step-by-step explanation:

This is a test of 2 population proportions. Let 1 and 2 be the subscript for men and women players. The population proportions of men and women challenges for calls would be p1 and p2

P1 - P2 = difference in the proportion of men and women challenges for calls.

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 old dough

x1 = 416

n1 = 1406

P1 = 416/1406 = 0.3

For new dough,

x2 = 217

n2 = 778

P2 = 217/778 = 0.28

The pooled proportion, pc is

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

pc = (416 + 217)/(1406 + 778) = 0.29

1 - pc = 1 - 0.29 = 0.71

z = (P1 - P2)/√pc(1 - pc)(1/n1 + 1/n2)

z = (0.3 - 0.28)/√(0.29)(0.71)(1/1406 + 1/778) = 0.02/√0.00553857907

z = 0.99

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 to the left of 0.99 is 1 - 0.84 = 0.16

We would double this area to include the area in the left tail of z = - 0.99 Thus

p = 0.16 × 2 = 0.32

Since 0.1 < 0.5, we would accept the null hypothesis.

p value = 0.337

Since 0.05 < 0.32, we would accept the null hypothesis

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3 years ago

Describe and correct the error in solving the proportion?

Ilia_Sergeevich [38]

Answer: Choice B

They did not perform the cross multiplication properly

The correct step should be m*24 = 8*15 which solves to m = 5

========================================================

Explanation:

In general, if we had the equation A/B = C/D, then it cross multiplies to A*D = B*C. We refer to this as cross multiplication because of the shape made when we connect the terms (to figure out what multiplies with what). The diagram below shows what I mean.

So that's why m/8 = 15/24 cross multiplies to m*24 = 8*15

Simplifying things a bit leads to 24m = 120. Then we divide both sides by 24 to fully isolate m and we get m = 120/24 = 5. Therefore, m = 5.

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3 years ago