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Inessa [10]
3 years ago
14

A three‐digit number satisfies the following conditions: The digits are consecutive whole numbers in increasing order; the sum o

f each pair of digits is greater than 2 and less than 8; and the tens digit is an even number. What is the number?
Mathematics
1 answer:
IRINA_888 [86]3 years ago
4 0
Answer: 123
They have to add up to 3 4 5 6 or 7 so it has to be that
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2 years ago
A college entrance exam company determined that a score of 24 on the mathematics portion of the exam suggests that a student is
seraphim [82]

Answer:

a) The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

Null hypothesis is accepted at  0.01% level of significance

<em>They score is above 24 on the math portion of the​ exam</em>

<em>b) </em>

<u><em>Null Hypothesis</em></u>: There is no significance difference between the college level mathematics and math courses in high school

H₀: μ = 24

<u>Alternative Hypothesis: </u>H₁: μ ≠ 24

<u>Step-by-step explanation:</u>

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

Given random sample 'n' = 250

Given data sample mean x⁻ = 24.5

Standard deviation = 3.3

<u><em>Null Hypothesis</em></u>: There is no significance difference between the college level mathematics and math courses in high school

H₀: μ = 24

<u>Alternative Hypothesis: </u>H₁: μ ≠ 24

test statistic

Z = \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }

Z = \frac{24.5 - 24}{\frac{3.3}{\sqrt{250} } } = \frac{0.5}{0.2087} = 2.397

a) 99% or 0.01% level of significance

Level of significance ∝ = 0.01

Z_{\frac{\alpha }{2} } = Z_{\frac{0.01}{2} } = Z_{0.005} =2.576

The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

Null hypothesis is accepted at  0.01% level of significance

<em>They score is above 24 on the math portion of the​ exam</em>

b) 95% or 0.05% level of significance

Level of significance ∝ = 0.05

Z_{\frac{\alpha }{2} } = Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96

The Z -value 2.397 > 1.96 at 95% or 0.05% level of significance

Null hypothesis is Rejected at  0.05% level of significance

<em>They score is below 24 on the math portion of the​ exam</em>

6 0
3 years ago
Why is it important to be able to solve for variables in equations?
GuDViN [60]
Because that way you can find the answer when you are given a large amount of information and you don't have to guess until you get the answer right.
6 0
4 years ago
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Ariana buys an ant farm from a store near her home. the ant farm price $12, and the sales tax is 7% what is the total price of t
aalyn [17]

Answer:

The total price for ant farm is $12.84

Step-by-step explanation:

The price of ant farm =  $ 12

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6 0
3 years ago
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