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lesya692 [45]
3 years ago
8

If you triple 4 and subtract 2 each day, how many day until you have zero?

Mathematics
1 answer:
weqwewe [10]3 years ago
6 0
I'll take it that it's implied that we're only subtracting 2 everyday, and only triple 4 once.

So, let's break this down.

Triple 4. This means to multiply by 3, or self-add 4 three times.

It should look like this:
4 + 4 + 4
or
4(3) or 4 • 3.

Let's go with the addition path, as it's easier to understand.
4 + 4 + 4. (Total of three 4's)
4 + 4 = 8 (Get rid of two 4's)
We are now left with one 4.
Add it to our current sum, 8.
8 + 4 = 12.

We now have 12 total.
However, since we're subtracting 2 EACH day, we'll have to divide 12 by 2 to find how many days until we reach zero.
12 / 2 = 6.

It will take 6 days for you to have zero.

I hope this helps!

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Jayden buys a game for ​$10.77 and some lotion for ​$3.12. He pays with a ​$20 bill. Estimate how much change he should​ get, to
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If $3 million is invested at 6% interest compounded continuously how much will the investment be worth in 35 years
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<span>P=$3000000 , r=6% , n=365 and t=35 years

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A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 225 vinyl? glov
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Answer:

a)

H₀: ρ₁ ≤ ρ₂

H₁: ρ₁ > ρ₂

b)

Z= \frac{('p_{1} - 'p_{2}) - (p_{1} - p_{2})}{\sqrt{'p(1-'p)[\frac{1}{n_1} + \frac{1}{n_2} ]} } ≈ N(0;1)

c)

p-value < .00001

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Reject the null hypothesis.

The population proportion vinyl gloves that leak viruses is greater than the population proportion of latex gloves that leak viruses.

Step-by-step explanation:

Hello!

The objective is to test if the population proportion of vinyl gloves that leak viruses (population 1) is greater then the population proportion of latex gloves that leak viruses (population 2).

Sample 1 (Vinyl)

n₁= 225

Sample proportion 'ρ₁= 0.60

Sample 2 (Latex)

n₂= 225

Sample proportion 'ρ₂= 0.09

Pooled proportion: 'ρ= (x₁+x₂)/(n₁+n₂)= ( 'ρ₁ + 'ρ₂)/2= (0.60 + 0.09)/2= 0.345 ≅0.35

The hypothesis is:

H₀: ρ₁ ≤ ρ₂

H₁: ρ₁ > ρ₂

α: 0.05

The statistic to use is a pooled Z

Z= \frac{('p_{1} - 'p_{2}) - (p_{1} - p_{2})}{\sqrt{'p(1-'p)[\frac{1}{n_1} + \frac{1}{n_2} ]} } ≈ N(0;1)

The critical region is one-tailed to the right (positive), the critical value is:

Z_{1-\alpha } = Z_{0.95} = 1.64

If Z ≥ 1.64, you will reject the null hypothesis.

If Z < 1.64, you will not reject the null hypothesis.

Z= \frac{(0.6 - 0.09) - (0}{\sqrt{0.35(1-0.35)[\frac{1}{225} + \frac{1}{225} ]} } = 11.34

Since the calculated Z- value is greater than the critical value, the decision is to reject the null hypothesis. The population proportion vinyl gloves that leak viruses is greater than the population proportion of latex gloves that leak viruses.

P-value approach:

p-value < .00001

If you compare with the level of signification, you reach the same decision.

I hope it helps!

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