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Georgia [21]
3 years ago
15

-8 is less than or equal to x, and -4 is greater than x ,as an inequality it is written as​

Mathematics
1 answer:
leonid [27]3 years ago
7 0

-8 ≤ x ≤ -4

or

-8 ≤ x and x ≤ -4

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The branch manager of an outlet (Store 1) of a nationwide
monitta

Answer:

1. ( 19.1416, 23.5384,)

2. (0.276348, 0.46651)

3. the sample size = 170.73 approximately 171

4. sample size = 334.07 approximately 334

5. sample of 334 should be taken by manager

Step-by-step explanation:

mean = bar x = 21.34 dollars

size of sample n = 70

standard deviation of sample = 9.22

we use t distribution as the population standard deviation is not known.

95% Confidence interval

1-α = 0.95

α = 0.05

degree of freedom = 70-1 = 69

α/2 = 0.025

using the t distribution tsble,

= 1.9949

confidence interval = 21.34+-1.9949*[\frac{9.22}{sqrt(70)}] \\

= 21.34 +- (1.9949*1.10200)

= 21.34 + 2.1984, 21.34 - 2.1984

= (23.5384, 19.1416)

the confidence interval of the mean amount spent at the supply store can be written as 19.1416<u<23.5384

2. sixe of those who only have a cat

p = 26/70 = 0.371429

at 90 % confidence interval,

1-α = 0.90

α = 0.10

we use the z table here

z(0.10/2) = Z(0.05)

= 1.645

0.371429+-1.645\sqrt} \frac{0.371429(1-0.371429)}{70}

= 0.371429 +-( 1.645 x 0.0578)

= 0.371429 + 0.095081, 0.371429 - 0.095081

= (0.276348, 0.46651)

3. sd = 10$

margin of erro,r e = 1.50$

α = 0.05

using z table

α/2 = Z0.025

= 1.96

sample size = 1.96² * 10² / 1.50²

= 3.8416 * 100/ 2.25

= 170.73

the sample size is approximately 171

d. we have 0.5 as sample proportion now

margin of error = 0.045

α = 0.10

Zα/2 = 0.05

= 1.645

sample size = 1.645²x0.5(1-0.5) / 0.045²

= 0.676506/0.002025

= 334. 07

sample size = 334

5.  sample of 334 should be taken by manager

3 0
3 years ago
A large pizza has 16 slices. You eat 4 pieces and 7 chicken wings. What proportion of the pizza did you eat?
ddd [48]

Answer:

4/16

Step-by-step explanation:

You ate 4 slice of the 16 slice pizza

3 0
3 years ago
Help I can’t figure out how to do zero exponents
Orlov [11]

Anything (except 0) to the 0 power is equal to 1.

8^0  = 1

(-8)^0 = 1

24781297429879741^0 = 1

4 0
2 years ago
Is 3/8 equivalent to 12/24
Ghella [55]
No because 3 x 4 = 12 and 8 x 4 ≠ 24
4 0
2 years ago
At the "cloth for you" shop, you can buy a top for £10.00 and a Bermuda trouser for £12.00. Due to a sensational sell, there is
9966 [12]

Answer:

£32 in total for the top and two trousers

Step-by-step explanation:

The price for a top In the "cloth for you" shop= £10

The price for a bermuda trouser In the "cloth for you" shop= £12

There is a 20% discount on tops

The price If I bought one top and would trouser will be

(10-(0.2*10)) for the top

2(12) for the trouser

Total= (10-(0.2*10))+ 2(12)

Total = 10-2+24

Total = £32

So I spent £32 in total for the top and two trousers

3 0
3 years ago
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