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scoundrel [369]
2 years ago
5

A Number Divided by 4 less than 6

Mathematics
1 answer:
Ierofanga [76]2 years ago
5 0
A number that can be divided by 4 that is less than 6 is 4 itself. After dividing 4 by 4, you will end up with 1.
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one positive integer is 2 less than another. The product of the two integers is 24. what are the two integers?
irinina [24]

If one is positive we can conclude that the other is also positive

Positive*positive=positive(24)

The product of the two numbers is 24

And the smaller number is less than the greater number by 2

Factors of 24=1*24,2*12,3*8,4*6.

The only pair with the diffrence of two is 4*6

Therefore the two integers are 4 and 6

4 0
2 years ago
A survey of 25 young professionals fond that they spend an average of $28 when dining out, with a standard deviation of $10. (a)
skad [1K]

Answer:

a) The 95% of confidence intervals for the average spending

(23.872 , 32.128)

b) The calculated value t= 1< 1.711( single tailed test) at 0.05 level of significance with 24 degrees of freedom.

The null hypothesis is accepted

A survey of 25 young professionals statistically that the population mean is less than $30

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

Step:-(i)

Given data a survey of 25 young professionals fond that they spend an average of $28 when dining out, with a standard deviation of $10

The sample size 'n' = 25

The mean of the sample   x⁻  = $28

The standard deviation of the sample (S) = $10.

Level of significance ∝=0.05

The degrees of freedom γ =n-1 =25-1=24

tabulated value t₀.₀₅ = 2.064

<u>Step 2:-</u>

The 95% of confidence intervals for the average spending

((x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } ,x^{-} + t_{\alpha }\frac{S}{\sqrt{n} } )

(28 - 2.064 \frac{10}{\sqrt{25} } ,28 + 2.064\frac{10}{\sqrt{25} } )

( 28 - 4.128 , 28 + 4.128)

(23.872 , 32.128)

a) The 95% of confidence intervals for the average spending

(23.872 , 32.128)

b)

Null hypothesis: H₀:μ<30

Alternative Hypothesis: H₁: μ>30

level of significance ∝ = 0.05

The test statistic

t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }

t = \frac{28-30 }{\frac{10}{\sqrt{25} } }

t = |-1|

The calculated value t= 1< 1.711( single tailed test) at 0.05 level of significance with 24 degrees of freedom.

The null hypothesis is accepted

<u>Conclusion</u>:-

The null hypothesis is accepted

A survey of 25 young professionals statistically that the population mean is less than $30

8 0
3 years ago
Which function shows the final cost in dollars, y, for renting four trucks using personal insurance for x number of days? y = 27
butalik [34]
= 99.907 = 170x=123.908
8 0
2 years ago
Which of the following best describes the equation below?
artcher [175]

Answer:

C. Nonlinear

General Formulas and Concepts:

<u>Algebra I</u>

  • Linear - Proportional relationship y = mx + b
  • Nonlinear - Any graph that has a degree <em>x</em> higher than 1

Step-by-step explanation:

<u>Step 1: Define</u>

y = 6x³ - 13

<u>Step 2: Identify</u>

We see a cubic function. Quadratics, Cubics, Quartics, etc. are all nonlinear equations.

7 0
3 years ago
Please help me on this
REY [17]

Answer:

21/100

Step-by-step explanation:

0.21 is out of 100 so you divide 0.21 by 100 which will give you 21 and so it is 21 out of 100.

8 0
3 years ago
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