Answer:
154 mins or 2 hour and 34 mins
Step-by-step explanation:
Step 1:
22 : 4 Ratio
Step 2:
22 : 4 = x : 28 Equation
Step 3:
4x = 616 Multiply
Step 4:
x = 616 ÷ 4 Divide
Answer:
x = 154
Hope This Helps :)
Using proportions, it is found that:
2. Bree types at a faster rate, as her ratio of 1.13 words per second is greater than Alan's rate of 0.83 words per second.
3. Bree also makes mistakes at a raster rate, as her rate of 0.375 mistakes per second is greater than Alan's rate of 0.33 mistakes per second.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
For each of Alan and Bree, we have to find the proportions of words typed per second and mistakes per second.
Then, for Alan:
- Words typed per second: 5/6 = 0.83.
- Mistakes per second: 2/6 = 0.33.
For Bree:
- Words typed per second: 9/8 = 1.13.
- Mistakes per second: 3/8 = 0.375.
Then:
2. Bree types at a faster rate, as her ratio of 1.13 words per second is greater than Alan's rate of 0.83 words per second.
3. Bree also makes mistakes at a raster rate, as her rate of 0.375 mistakes per second is greater than Alan's rate of 0.33 mistakes per second.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
a: z = -1.936
b: 0.0265
d: z < -1.645
Reject H0 if z < -1.645
Step-by-step explanation:
We are given:
H0: µ = 20
HA: µ < 20
n = 60, sample mean: 19.6, σ = 1.6
Since the alternate hypothesis has a < sign in it, it is a left tailed test. The < or > sign in the alternate hypothesis points towards the rejection region.
For a: We need to calculate the test statistic for our situation. This is done with a z-score formula for samples.
For b: we need to use the z-score table to look up the p-value for the score we calculate in part a. The p-value is 0.0265. This means that there is only about a 2.65% chance that the sample values were a result of random chance.
For d: Since the significance level is 0.05, and this is a one tailed test, we have a critical value of z < - 1.645. This means that if the z-score we calculate in part a is less than -1.645, we will reject the null hypothesis
See attached photo for all the calculations!
Well the dependent variable is .75, and the independent variable is 10.
So,
.75x + 10 would be the equation, the number of miles representing x.
Answer:
cosA = √(21/25)
Step-by-step explanation:
We know
sin²(A) + cos²(A) = 1
Next, we know that sin(A) = 2/5. Plugging that into our equation, we get
(2/5)² + cos²A = 1
4/25 + cos²A = 1
subtract 4/25 from both sides to isolate cos²A
cos²A = 1 - 4/25 = 25/25-4/25 = 21/25
square root both sides to get
cosA = √(21/25)
We do not include -√(21/25) in our possible answer for cosA because this is in quadrant 1, so cosA must be positive.
