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Kamila [148]
3 years ago
9

5/12-4/16 in simplest form and regular form

Mathematics
1 answer:
EleoNora [17]3 years ago
8 0
5/12-1/4=1/6

4/16 in simplest form is 1/4

5/12 in simplest form is already simplified.
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marion is making trail mix for a group camping trip. she buys 3 pounds of granola for $3 per pound and 0.75 pounds of raisins fo
Luba_88 [7]
Let
x-------------> pounds of granola-----------> <span>$3 per pound
</span>y-------------> pounds of raisins-----------> $2 per pound
z------------ > price per <span>pounds of the trail mix
</span>
we have that
z=3x+2y--------------------- > this is the equation

for x=3 pounds of granola and y=<span>0.75 pounds of raisins
z=3*3+2*0.75=</span>$10.5 of <span>trail mix</span>
3 0
3 years ago
Read 2 more answers
Sue wants to increase 160 by 4%
ivann1987 [24]

Answer:

a) To increase 160 by 4% we multiply by 1.04

b) To decrease 160 by 6% we multiply by 0.94

Step-by-step explanation:

a) Here we have to increase 160 by 4% we are to note that;

4 \% = \frac{4}{100} = 0.04

Therefore, increasing 160 by 4% is to add additional 0.04×160 to 160

That is 160 + 0.04×160 = 160×(1 + 0.04) = 160×1.04

Therefore Sue should have multiplied 160 by 1.04 to increase 160 by 4%.

b) Here to decrease 160 by 6%, we subtract 6% of 160 from 160 that is;

Decrease 160 by 6% = 160 - 160×0.06 = 160×(1 - 0.06) = 160 × 0.94 = 150.4

Hence to decrease 160 by 6% we multiply by 0.94.

8 0
4 years ago
A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained p
Studentka2010 [4]

Using the z-distribution, it is found that the needed sample sizes are:

a) 242

b) 1842

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of \alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which z is the z-score that has a p-value of \frac{1+\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

99% confidence level, hence\alpha = 0.99, z is the value of Z that has a p-value of \frac{1+0.99}{2} = 0.995, so z = 2.575.

Item a:

The estimate is:

\pi = 0.223 - 0.189 = 0.034

The sample size is <u>n for which M = 0.03</u>, then:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 2.575\sqrt{\frac{0.034(0.966)}{n}}

0.03\sqrt{n} = 2.575\sqrt{0.034(0.966)}

\sqrt{n} = \frac{2.575\sqrt{0.034(0.966)}}{0.03}

(\sqrt{n})^2 = \left(\frac{2.575\sqrt{0.034(0.966)}}{0.03}\right)^2

n = 241.97

Rounding up, a sample of 242 is needed.

Item b:

No prior estimates, hence \pi = 0.5 is used.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 2.575\sqrt{\frac{0.5(0.5)}{n}}

0.03\sqrt{n} = 2.575\sqrt{0.5(0.5)}

\sqrt{n} = \frac{2.575\sqrt{0.5(0.5)}}{0.03}

(\sqrt{n})^2 = \left(\frac{2.575\sqrt{0.5(0.5)}}{0.03}\right)^2

n = 1841.8

Rounding up, a sample of 1842 is needed.

For more on the z-distribution, you can check brainly.com/question/25404151

5 0
3 years ago
Select an (even) integer randomly from the set {0, 2, 4, 6, 8}. then select an integer randomly from the set {0, 1, 2, 3, 4}. le
arlik [135]
X+4=y
8 +4 = y. y=12

x=8
4 0
4 years ago
C=Wtc/1000 for W please I need help it's algebra
DedPeter [7]
C1000÷ct=w

you pretty much ×1000 and then ÷t and c
3 0
3 years ago
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