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kherson [118]
2 years ago
11

(1) Area: 35 y² +13y-12​

Mathematics
1 answer:
Fiesta28 [93]2 years ago
6 0

Answer:

35y2+13y−12

                       =35y2+28y−15y−12

                       =7y(5y+4)−3(5y+4)

                       =(7y−3)(5y+4)

Therefore, the possible length and breadth are 7y-3 units and 5y+4 units

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The U.S. Bureau of Labor Statistics reports that 11.3% of U.S. workers belong to unions (BLS website, January 2014). Suppose a s
vitfil [10]

Answer:

There is not enough evidence to support the claim that union membership increased.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 400

p = 11.3% = 0.113

Alpha, α = 0.05

Number of women belonging to union , x = 52

First, we design the null and the alternate hypothesis

H_{0}: p = 0.113\\H_A: p > 0.113

The null hypothesis sates that 11.3% of U.S. workers belong to union and the alternate hypothesis states that there is a increase in union membership.

Formula:

\hat{p} = \dfrac{x}{n} = \dfrac{52}{400} = 0.13

z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

Putting the values, we get,

z = \displaystyle\frac{0.13-0.113}{\sqrt{\frac{0.113(1-0.113)}{400}}} = 1.073

now, we calculate the p-value from the table.

P-value = 0.141636

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.

Thus, there is not enough evidence to support the claim that union membership increased.

5 0
3 years ago
Use the De Morgan law that states: ~(p ∧ q) is equivalent to ~ p ∨ ~ q to write an equivalent English statement for the statemen
vladimir2022 [97]

Answer:

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

Step-by-step explanation:

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

Write a 75-100 word essay on the topic "Should people keep animals as pets?" No copying from other websites, I will mark your answer brainiest If I Like It!

3 0
3 years ago
WILL BE MARKED AS BRAINLIEST!!<br><br> (52 + 4 − 6)− (−52 − 3 + 15)
AveGali [126]

Answer:

90

Step-by-step explanation:

make sure to use BIDMAS

start of by working out everything in the brakets first.

the first bracket would be 50

the second bracket would be -40

the minus these as there is a minus between the brackets

50--40=90

5 0
4 years ago
Read 2 more answers
The perimeter of an equilateral triangle is 27 centimeters. Find the altitude of the triangle
Naily [24]
7.79cm It is an equilateral triangle so it has 3 equal sides. That means each side is 9cm. <span>
Now draw a line from the top of the equilateral triangle to the base, and dividing it into two. You will have made two smaller triangles, with sides 9, 4.5, and h (the one you want to find). 

A line drawn from the apex of an equilateral triangle to the midpoint of the base is perpendicular to the base, so you can use Pythagoras' Theorem! 

4.5^2 + h^2 = 9^2 
h = sqrt(9^2 - 4.5^2) 
Therefore, the height is 7.79cm (2 decimal places)</span><span>
</span>
4 0
3 years ago
a polygon of 100 sides has all possible drawn from a chosen vertex to the others. how many triangles are formed
Hoochie [10]

Answer:

98

Step-by-step explanation:

for a 4 sided polygon you can only draw one diagonal from one vertex so it forms 2 triangles.

For 5 sides  you get 3 triangles

For 6 sides  - 4

For 7 sides  - 5

For 8 sides - 6

Looks like we get 2 less triangles than the number of sides in the polygon


Answer for 100 sides is 98 triangles.

7 0
3 years ago
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