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m_a_m_a [10]
3 years ago
8

Jim spent 3/8 of his money on eggs. he spent 2/5 of the rest of his money on butter. he had $6.72 left. how much money did him s

tart with?
Mathematics
1 answer:
anastassius [24]3 years ago
3 0
First make the denominator equal for both fractions.
The LCM of 8 and 5 is 40, so 40 will be the common denominator.
3/8=15/40 and 2/5=16/40
Add them together.
15/40+16/40=31/40
He has 9/40 of his money left, which means 9/40 of the total money=$6.72
Make an equation to solve for how much money he had when he started (x).
6.72/x=9/40
After solving, x= about $29.87
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You apply for a job and have to take a drug test. You are curious about the error rate for the test so you do some research. You
Ber [7]

Answer:

Test statistic  Z = -1.0

 |Z| = |-1.0| < 1.96 at 0.05 level of significance.

The null hypothesis is accepted

The company that produces the drug test claims that less than 14% of the test results are wrong

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the population proportion P = 14% =0.14

Given that the sample size 'n' = 382 tests

Given that find a study where 47 out of 382 test results using this test were wrong (either a false positive or a false negative).

Sample proportion

                        p = \frac{x}{n} = \frac{47}{382} = 0.1230

Null hypothesis: H₀ : P = 0.14

Alternative Hypothesis:H₁ : P≠ 0.14

<u><em>Step(ii):-</em></u>

Test statistic

              Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }

         Z = \frac{0.1230-0.14}{\sqrt{\frac{0.14 X0.86}{382} } }

       Z = - 1.0

     |Z| = |-1.0| < 1.96 at 0.05 level of significance.

<u><em>Final answer:-</em></u>

The null hypothesis is accepted

The company that produces the drug test claims that less than 14% of the test results are wrong

               

4 0
3 years ago
I really need help!!! It would mean a lot if someone could help me.
Rudiy27

The y answers would be 11, 8, 5, 2, -1.

To find these parts of the table, we simply put the x value in for x and solve for y. The first two are done for you below.

WHEN x = -2

y = -3x + 5

y = -3(-2) + 5

y = 6 + 5

y = 11

WHEN x = -1

y = -3x + 5

y = -3(-1) + 5

y = 3 + 5

y = 8

4 0
3 years ago
Read 2 more answers
The standard deviation of the sampling distribution of the sample mean is $115,000. The population standard deviation was $25,00
Zina [86]

Answer:

0.31084

Step-by-step explanation:

When given a question where by a random sample is chosen for the population, the z score formula used =

z = (x-μ)/Standard error

where x is the raw score

μ is the population mean

Standard error = σ/√n,

σ is the population standard deviation

n = number of samples

For x = $114,000, μ = $115,000, σ = 25,000, n = 100

z = (x-μ)/Standard error

= z = (x-μ)/ σ/√n

z = 114,000 - 115,000/ 25,000/√100

= -1000/25,000/10

= -1000/2500

z = -0.4

Determining the probability value from Z-Table:

P(x = 114000) = P(z = -0.4)

= 0.34458

For x = $116,000, μ = $115,000, σ = 25,000, n = 100

z = (x-μ)/Standard error

= z = (x-μ)/ σ/√n

z = 116,000 - 115,000/ 25,000/√100

= 1000/25,000/10

= 1000/2500

= 0.4

Determining the Probability value from Z-Table:

P(x = 116000) = P(z = 0.4)

= 0.65542

The probability that the sample mean selling price was between $114,000 and $116,000 is calculated as

= P(114,000< x < 116,000)

= P(-Z<x<Z)

= P(-0.4<x< 0.4

= 0.65542 - 0.34458

= 0.31084

Therefore, the probability that the sample mean selling price was between $114,000 and $116,000 is 0.31084

5 0
3 years ago
Classify the system correctly <br> Y = 5x +2<br> 10x - 2y = 12
s344n2d4d5 [400]

Answer:

It's a simultaneous equation because it as two solution

Step-by-step explanation:

5 0
4 years ago
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Whats 9 + 10 fr fr ong fr on fr fr
Fed [463]

Answer:

19.

21 sometimes though.

5 0
3 years ago
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