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Leno4ka [110]
2 years ago
13

What single decimal multiplier would you use to increase by 10% followed by a 16% decrease?

Mathematics
1 answer:
Neko [114]2 years ago
7 0
So a decrease of 16% followed by an increase of 14% is the same as multiplying by 0.9576 (which is a decrease of 4.24%)
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A company surveyed adult Americans about their consumer debt. They reported that 48% of Millennials (those born between 1980 and
sergeinik [125]

Answer:

We reject H₀ at 95 % of CI the group of Gen Xers who do not pay their credit card each month, is greater than this proportion for Millennians

Step-by-step explanation:

Sample proportion 1: Born between 1980 and 1996

sample size    n₁  = 450

p₁  =  0,48        p₁ = 48 %

x₁ = 0,48 * 450        x₁ = 216

Sample proportion 2:  Born between 1965 and 1971

sample size    n₂  = 300

p₂ =  0,60         p₂ = 60%

x₂  = 0,6* 300     x₂  = 180

Test Hypothesis:

Null Hypothesis                          H₀               p₂  =   p₁

Alternative Hypothesis              H                p₂  >  p₁

Samples both big enough to use the normal distribution as an approximation to the binomial distribution.

We assume  CI = 95 %   then significance level α   = 5 %  the alternative hypothesis tells us that we need to develop a one-tail test to the right.

z-score  is z(c)  for  α = 0,05       from z-table   z(c) = 1,64

To calculate z(s)

z(s)  =  ( p₂  -  p₁ ) / √ p*q ( 1 /n₁ + 1 / n₂)

p₂ - p₁  =  0,60  - 0,48

p₂ - p₁  =  0,12

p = ( x₁ + x₂ ) / n₁ + n₂

p = ( 216  + 300) / 450 + 300

p = 516 / 750     p = 0,688      then   q = 1 - p     q = 0,312

z(s) = 0,12 / √ 0,688*0,312* ( 1/450) + 1/ 300)

z(s) = 0,12 / √ 0,2146* ( 0,0022 + 0,0033)

z(s) = 0,12 / √ 0,001192

z(s) = 0,12/ 0,03452

z(s) = 3,47

Comparing |z(c)|   and |z(s)|

z(s) > z(c)

Then z(s) is in the rejection region. We reject H₀.

We can support the  claim that the proportion of the group Gen Xers who do not pay their credit card is greater than Millennians

6 0
3 years ago
Please please answer this correctly
schepotkina [342]

Answer:

  11 m by 18 m

Step-by-step explanation:

The area is the product of two adjacent sides of a rectangle. The perimeter is twice the sum of two adjacent sides, so that sum is (58 m)/2 = 29 m.

We want to find two factors of 198 that sum to 29.

  198 = 1·198 = 2·99 = 3·66 = 6·33 = 9·22 = 11·18

Of these factor pairs, only the last one has a sum of 29.

The dimensions of the pool are 11 meter by 18 meters.

6 0
3 years ago
It is 42 1/2 miles from Eden to Baxter and 37 4/5 miles from Baxter to Wellington how far is it from eden to Wellington if you g
maw [93]
It is 80 and 3/10ths of a mile
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Is $1.25 per song a unit rate
d1i1m1o1n [39]
Yes, since it's the amount per ONE song.
8 0
3 years ago
Read 2 more answers
Proving Pythagorean Theorem
MrRissso [65]

Answer:

45

Step-by-step explanation:

{a}^{2}  +  {b}^{2}  =  {c}^{2}

ssubstitute a and b for any of the numbers (3 or 6) and get 36+9 which is 45

45 =

{c}^{2}

so you would need to find the square root to get c

4 0
2 years ago
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