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pashok25 [27]
2 years ago
11

Factorise first then solve these equations

Mathematics
1 answer:
trapecia [35]2 years ago
4 0
1) factorised is (x+4)(x+1)=0
So x=-4 x=-1

2) factorised is (a-4)(a-3)=0
So a=4 a=3
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The management of a department store is interested in estimating the difference between the mean credit purchases of customers u
Mkey [24]

Answer:

Step-by-step explanation:

1) Point estimate is the difference between the sample means. Therefore,

A point estimate for the difference between the mean purchases of the users of the two credit cards is = 140 - 125 = $15

2) Margin of error = z√(σ²/n1 + σ2²/n2)

Where

z is the z score from the 95% confidence level. From the normal distribution table, z = 1.96

s1 and s2 are standard deviation for both customers respectively.

Standard deviation = √variance

σ1 = √100 = 10

σ2 = √641 = 25.32

Margin of error = 1.96√(10²/64 + 25.32²/49 = 7.5

At 95% confidence, the margin of error is 7.5

3) The confidence interval for the difference of two population means is expressed as point estimate ± margin of error

Confidence interval = 15 ± 7.5

The upper boundary for the confidence interval is

15 - 7.5 = 7.5

The lower boundary for the confidence interval is

15 + 7.5 = 22.5

A 95% confidence interval estimate for the difference between the average purchases of the customers using the two different credit cards is $7.5 to $22.5

4) Since the population standard deviations are known, we would use the formula to determine the test statistic(z score)

z = (x1 - x2)/(√σ1²/n2 + σ2²/n2)

z = (140 - 125)/√10²/64 + 25.32²/49

z = 1.02

The test statistic for an alpha of .05 is 1.02

4 0
2 years ago
If you help me I will love you forever
joja [24]

Answer:

I think the answer would be 22.15 but I'm not really sure.

7 0
3 years ago
Read 2 more answers
The perimeter of a rectangle is dependent on the length of each of its sides. Suppose the base of a rectangle is two more than i
Bezzdna [24]
Perimeter=4h+4

If the base is 2 more than the height, it gives us the equation:
b=h+2

The equation for the perimeter of a rectangle can be though of as 2b+2h, so substituting in (h+2) for b from the first equation, we get 2(h+2)+2h.

This can be simplified to be 2h+4+2h or 4h+4
4 0
3 years ago
50 POINTS
Snowcat [4.5K]

Answer:

-1

Step-by-step explanation:

took the exam on edge

5 0
3 years ago
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PLZ I NEED HELP UNDERSTANDING THIS SOMEONE PLZ HELP ME
tatuchka [14]

Answer:

90

Step-by-step explanation:

180°-104°=76°( sum of angles A and B)

76°÷2=38°

x=38°

Bcuz it is an isosceles triangle ( a triangle with 2 equal sides). So, angle B and A are equal. thats why 76° must be divided by 2.

180°-104°=76°(angles on a straight line)

180°-76°=104° (sum of angle A and C)

104°÷2=52°

y=52°

it is also an isosceles triangle.

x+y=38+52=90°

7 0
3 years ago
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