Answer:
3 ÷ 1/3 = 9
Step-by-step explanation:
= 3 ÷ 1/3
= 3/3 (3/1) ÷ 1/3
= 9/3 × 3/1
= 9/1
= 9
Answer:
A: $958.50
Step-by-step explanation:
Since we are solving how much money in total he will receive in one year, we know that annually means once a year. Therefore to solve this, we need to divide 6.5 by 100 since the way to turn a decimal into a percent is to multiply by 100, and we are trying to make it a decimal.
6.5 ÷ 100 = 0.065.
Next, we need to multiply 0.065 by 900. This is because we originally need to divide the denominator (900) from the numerator (X).
0.065 x 900 = 58.5 = $58.50
Now that we know 6.5% is equivalent to $58.50, we just need to add $900 and $58.50.
$900 + $58.50 = $958.50
The solution to your math problem is A: $958.50. Lan will have $958.50 by the end of one year.
Answer:
what's this?
Step-by-step explanation:
Answer:
Correct option: (B)
Step-by-step explanation:
A one-sample <em>t</em>-test can be performed to determine whether the mean weight of female college students is still 59.4 kg.
The hypothesis can be defined as:
<em>H₀</em>: The mean weight of female college students has changed.
<em>Hₐ</em>: The mean weight of female college students has not changed.
The information provided is:
As the there is no information about the population standard deviation we will use a <em>t</em>-test for the mean.
The test statistic is:
Decision rule:
If the if the <em>p</em>-value of the test is less than the significance level of the test <em>α</em> then the null hypothesis will be rejected and vice versa.
The degrees of freedom of the test is:
The test is two-tailed.
Compute the <em>p</em>-value of the test as follows:
*Use a <em>t</em>-table for the probability.
The <em>p</em>-value = 0.13 > <em>α</em> = 0.10
The null hypothesis was failed to be rejected.
As the null hypothesis was rejected it can be concluded that there is not sufficient evidence that the mean weight of female students has changed.
Answer:
137.4 meters
Step-by-step explanation:
In this case, they give us the height of the lighthouse that corresponds to 50 meters and the depression angle is 20 °, in this case we can apply the tangent trigonometric function, which relates the opposite side to the adjacent side.
tan a ° = opposite / adjacent
the horizontal that is formed would be the adjacent side, therefore if we solve we are left with:
horizontal distance = opposite / tan to °
replacing, we are left with:
hd = 50 / tan 20 °
hd = 50 / 0.3639
hd = 137.4
the horizontal distance is equal to 137.4 meters
