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oksian1 [2.3K]
2 years ago
8

A scientist mixes water (containing no salt) with a solution that contains 35% salt. She wants to obtain 105 ounces of a mixture

that is 15% salt. How many ounces of water and how many ounces of the 35% salt solution should she use?
Mathematics
1 answer:
dedylja [7]2 years ago
5 0

Answer:

90

Step-by-step explanation:

Start with changing 35% and 30% to a decimal.

35% = .35%

30% = .30%

Then multiply 105 by .30%. ( but don't put the percent sign in the calculator when multiplying)

105 x .30% = 31.5

Then you want to divide 31.5 by .35%

31.5 /  .35% = 90

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Consider the geometric sequence 16, 8, a, 2, b, ... (a) Write down the common
Artist 52 [7]

Find the common ratio by dividing.

16 / 8 = 2

8 / a = 2

2 / b = 2

The common ratio is 2.

Since we need to find the values of a and b, use the common ratio to solve for them.

8 / 2 = 4 (a)

2 / 2 = 1 (b)

Now, we know that first 5 terms.

We can solve for the 8th term using the previous terms and the common ratio.

6th term: 1 / 2 = 0.5

7th term: 0.5 / 2 = 0.25

8th term: 0.25 / 2 = 0.125

Part A: 2

Part B: a = 4, b = 1

Part C: 0.125

Best of Luck!

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3 years ago
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Find the prime factorization of the number 12​
Vsevolod [243]

First, you must use a factor tree to find the prime factors of the number.

                           12

                          /   \

                        6      (2)

                      /   \

                    (3) (2)

2 , 2 and 3 are the prime factors that make 12

2 x 2 x 3= 12

Or

2^2 x 3= 12

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Describe real life situations that use parallel lines ?????
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We have five samples of data: sample A with 30 successes of 50 cases, sample B with 600 successes of 1000 cases, sample C with 3
faust18 [17]

Answer:

C. with 3000 successes of 5000 cases sample

Step-by-step explanation:

Given that we need to test if the proportion of success is greater than 0.5.

From the given options, we can see that they all have the same proportion which equals to;

Proportion p = 30/50 = 600/1000 = 0.6

p = 0.6

But we can notice that the number of samples in each case is different.

Test statistic z score can be calculated with the formula below;

z = (p^−po)/√{po(1−po)/n}

Where,

z= Test statistics

n = Sample size

po = Null hypothesized value

p^ = Observed proportion

Since all other variables are the same for all the cases except sample size, from the formula for the test statistics we can see that the higher the value of sample size (n) the higher the test statistics (z) and the highest z gives the strongest evidence for the alternative hypothesis. So the option with the highest sample size gives the strongest evidence for the alternative hypothesis.

Therefore, option C with sample size 5000 and proportion 0.6 has the highest sample size. Hence, option C gives the strongest evidence for the alternative hypothesis

3 0
3 years ago
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