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adelina 88 [10]
2 years ago
14

pls help me how do they get 9 7/5 = 10 2/5 ( its in the example number 1) plss help me i don't know :⊂

Mathematics
1 answer:
vodomira [7]2 years ago
6 0

Answer:

  • INSTRUCTION FOLLOWED: <u>write the sum as a mixed number where the fractional number is less than one.</u>

5/5 out of the 7/5 make <u>ONE whole</u> while 2/5 is left over.

The <u>ONE whole</u> is added to nine to make 10 and the remaining 2/5 is also added to the 10 hence 9 7/5 = 10 2/5

Step-by-step explanation:

  • INSTRUCTION FOLLOWED: <u>write the sum as a mixed number where the fractional number is less than one.</u>

5/5 out of the 7/5 make <u>ONE whole</u> while 2/5 is left over.

The <u>ONE whole</u> is added to nine to make 10 and the remaining 2/5 is also added to the 10 hence 9 7/5 = 10 2/5

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What is the volume of the cube shown?<br> 24 in.
Natali5045456 [20]

Answer:

11.39

Step-by-step explanation:

a^3

2 1/4 = 2.25^3

11.39

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8 0
2 years ago
Mr. Thomas is making rice. One cup of rice requires 1/3 of a cup of water. He is making 2 1/2 cups of rice. How much water will
matrenka [14]
Knowing that each cup requires \frac{1}{3} cup of water, and you need to know how many cups of water will the 2.5 cups of rice require;
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So, the answer is; \frac{5}{6} cups of water.

Hope this helps!

3 0
3 years ago
In studies for a​ medication, 3 percent of patients gained weight as a side effect. Suppose 643 patients are randomly selected.
timofeeve [1]

Part a)

It was given that 3% of patients gained weight as a side effect.

This means

p = 0.03

q = 1 - 0.03 = 0.97

The mean is

\mu  = np

\mu = 643 \times 0.03 = 19.29

The standard deviation is

\sigma =  \sqrt{npq}

\sigma =  \sqrt{643 \times 0.03 \times 0.97}

\sigma =4.33

We want to find the probability that exactly 24 patients will gain weight as side effect.

P(X=24)

We apply the Continuity Correction Factor(CCF)

P(24-0.5<X<24+0.5)=P(23.5<X<24.5)

We convert to z-scores.

P(23.5 \: < \: X \: < \: 24.5) = P( \frac{23.5 - 19.29}{4.33} \: < \: z \: < \:  \frac{24.5 - 19.29}{4.33} ) \\  = P( 0.97\: < \: z \: < \:  1.20) \\  = 0.051

Part b) We want to find the probability that 24 or fewer patients will gain weight as a side effect.

P(X≤24)

We apply the continuity correction factor to get;

P(X<24+0.5)=P(X<24.5)

We convert to z-scores to get:

P(X \: < \: 24.5) = P(z \: < \:  \frac{24.5 - 19.29}{4.33} )  \\ =   P(z \: < \: 1.20)  \\  = 0.8849

Part c)

We want to find the probability that

11 or more patients will gain weight as a side effect.

P(X≥11)

Apply correction factor to get:

P(X>11-0.5)=P(X>10.5)

We convert to z-scores:

P(X \: > \: 10.5) = P(z \: > \:  \frac{10.5 - 19.29}{4.33} )  \\ = P(z \: > \:  - 2.03)

= 0.9788

Part d)

We want to find the probability that:

between 24 and 28, inclusive, will gain weight as a side effect.

P(24≤X≤28)=

P(23.5≤X≤28.5)

Convert to z-scores:

P(23.5  \:  <  \: X \:  <  \: 28.5) = P( \frac{23.5 - 19.29}{4.33}   \:  <  \: z \:  <  \:  \frac{28.5 - 19.29}{4.33} ) \\  = P( 0.97\:  <  \: z \:  <  \: 2.13) \\  = 0.1494

3 0
3 years ago
Solve the following inequality:<br> 55 – 5q &gt; 4(7–9).
Savatey [412]

Step-by-step explanation:

55 – 5q > 4(7–9)

4(-2)

55- 5q > -8

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q=12.6

8 0
3 years ago
For the function F(x) = 1/x+2, which of these could be a value of F(x) when xis
hram777 [196]

Answer:

B 2

Step-by-step explanation:

The computation of the value of f(x) in the case when x = 2 is shown below

As per the question, following function is given

F(x) = (1 ÷ x) + 2

Based on this, the x = 2

Now put the x value in the above equation

So,

= (1 ÷ 2) + 2

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= 5 ÷ 2

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Hence the closet number is 2

Therefore the value of f(x) in the case when x = 2 is 2

Hence, the correct option is b.

5 0
3 years ago
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