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Lena [83]
4 years ago
14

Algebraic expression: 3 plus the product of 2 and h

Mathematics
1 answer:
ryzh [129]4 years ago
6 0
the\ product\ of\ 2\ and\ h=2\times h=2h\\\\\boxed{3+2h}
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Choose the correct answer. Your business signs a ninety-day promissory note for
Mila [183]
90 days=3 months
5,000×0.05×3=750
3 0
3 years ago
In one area, monthly incomes of technology-related workers have a standard deviation of $650. It is believed that the standard d
Virty [35]

Answer:

There is sufficient statistical evidence to prove that the standard deviation of the technology-related workers and the standard deviation of the non-technology workers are equal.

Step-by-step explanation:

Here we have our null hypothesis as H₀: σ² = s²

Our alternative hypothesis is then Hₐ: σ² ≠ s²

We therefore have a two tailed test

To test the hypothesis of difference in standard deviation which is the Chi squared test given as follows

\chi ^{2} = \dfrac{\left (n-1  \right )s^{2}}{\sigma ^{2}}

Where:

n = Size of sample

s² = Variance of sample = 950²

σ² = Variance of population = 650²

Degrees of freedom = n - 1 = 71 - 1 = 70

α = Significance level = 0.1

Therefore, we use 1 - 0.1 = 0.9

From the Chi-square table, we have the critical value as

1 - α/2 = 51.739,  

α/2 = 90.531

Plugging the values in the above Chi squared test equation, we have;

\chi ^{2} = \dfrac{\left (23-1  \right )950^{2}}{650 ^{2}} = 49.994

Therefore, since the test value within the critical region, we do not reject the null hypothesis, hence there is sufficient statistical evidence to prove that the standard deviation of the technology-related workers and the standard deviation of the non-technology workers are equal.

6 0
3 years ago
A protected wilderness area in the shape of a rectangle is 3 kilometers long and 3.2 kilometers wide. The forest is to be surrou
Aleonysh [2.5K]

Answer: $66

Step-by-step explanation:

Area of a rectangular =length*breadth

= 3.2 km * 3.0 km = 9.6km(squared)

Note, 1.6km = 1 mile

Cost of a hiking trail = $11 per mile

Converting kilometer to kill = 9.6km/1.6km = 6 miles

Hence, cost of a hiking trail to surround the rectangular shaped wilderness = $11 * 6 = $66

In case the cost is $11,000 per mile; total cost of hiking trails to surround the wilderness equals $66,000

3 0
4 years ago
Please solve with explanation will give BRAINLIEST and Bonus Points
erastova [34]

Let d = # of dimes

Let q = # of quarters

equation #1: number of coins

    d + q = 1234

equation #2: value of coins

    0.10d + 0.25q = 290.05

Solve #1 for d:

    d=1234-q

Sub #1 into #2 and solve for q:

    0.10d + 0.25q = 290.05

    0.10(1234-q) + 0.25q = 290.05

    123.4 - 0.10q + 0.25q = 290.05

    0.15q =  166.65

    q = 1111

Now go back to d=1234-q and sub in 1111 for q to find d:

    d = 1234 - 1111

    d = 123

1111 quarters and 123 dimes.

    

5 0
3 years ago
Gwyneth buys a sports car $130,000. After a year, the value of the car has dropped to $105,300. What is the annual rate of depre
Yanka [14]

Answer:

19%

Step-by-step explanation:

Value depreciation=$130000-$105300=$24700

Percentage depreciation=\frac {24700\times 100}{130000}=19%

Therefore, the value of depreciation expressed as a percentage of the original value is 19%

6 0
3 years ago
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