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olga2289 [7]
4 years ago
8

To the nearest cent, evaluate $44.50 * (4% + 2.25%).

Mathematics
2 answers:
kakasveta [241]4 years ago
7 0
4+2.25.= 6.25

6.25x44.50 =278.125. = 278.13
andreev551 [17]4 years ago
4 0

Answer:

\$44.50 \times(4\%+2.25\%)=2.78

Step-by-step explanation:

Given : Expression \$44.50 \times(4\%+2.25\%)

To find : Evaluate the given expression?

Solution :

Step 1 - Write the expression

=\$44.50 \times(4\%+2.25\%)

Step 2 - Solve the parentheses

=\$44.50 \times(6.25\%)

Step 3 - Convert the percent into value

=\$44.50 \times \frac{6.25}{100}

Step 4 - Solve by multiplication and dividing

=\frac{4450\times 625}{1000000}

=\frac{2781250}{1000000}

=2.781250

To nearest cent means rounding off 2 decimal place.

Therefore, The required solution is 2.78.

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which statement best describes a line in slope-intercept form when the coefficient of the coefficient of the x term is positive​
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Step-by-step explanation:

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Park officials make predictions of times to the next eruption of a particular​ geyser, and collect data for the errors​ (minutes
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Answer:

a) Null hypothesis: \mu =0

Alternative hypothesis: \mu \neq 0

b) t =-7.44

c) p_v = 2*P(t_{98}

d) Reject Null hypothesis. The is enough evidence to conclude that the mean prediction error is not equal to 0.

We reject the null hypothesis because the p_v. So we can conclude that the difference is significantly different from 0 at 5% of significance.

Step-by-step explanation:

Assuming this output:

t_{difference}=-0.395

t(observed value) =-7.44

t(Critical value )= 1.984

DF = 98

p value (two tailed) < 0.0001

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Alternative hypothesis: \mu \neq 0

The reason is because the output says a bilateral test so for this case w eselect this option.

b) Identify the statistic

The correct formula for the statistic is given by:

t=\frac{\bar X_1 -\bar X_2 -0}{\sqrt{(\frac{s^2_1}{n_1}+\frac{s^2_2}{n_2})}}

Based on the output the calculated value its t =-7.44

c) Identify the p value

We have the degrees of freedom given 98

Based on the alternative hypothesis the p value is given by:

p_v = 2*P(t_{98}

d) State the final conclusion that addresses the original claim

Reject Null hypothesis. The is enough evidence to conclude that the mean prediction error is not equal to 0.

We reject the null hypothesis because the p_v. So we can conclude that the difference is significantly different from 0 at 5% of significance.

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3 years ago
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