Answer:if they work together, it will take them 0.5 hours or 30 minutes
Step-by-step explanation:
jake can complete a job in 1 hour 30 minutes or 1.5 hours. This means that his unit rate is 1/1.5
his friend Harry can complete the same job in half the time. This means that Harry can complete the same job in 0.75 hours. His unit rate of working would be 1/0.75.
Since both of them work simultaneously at their individual rates, then, Their unit rates are additive. Assuming by working together, it took them t hours to finish the work. This means that their combined unit rate would be 1/t. Therefore,
1/1.5 + 1/0.75 = 1/t
1/t = 2
2t = 1
t = 1/2 = 0.5 hours or 30 minutes
Answer:
2, 6, 18, 54, 162
Step-by-step explanation:
In a geometric sequence, terms that are 2 terms apart (2nd & 4th, for example) have a ratio that is the 2nd power of the common ratio. Since 54/6 = 9 = 3², the common ratio is 3.
The first term will be the 2nd term divided by that ratio; the 5th term will be the 4th term multiplied by that ratio. You can figure the 3rd term any of several ways (and they should all give the same value): multiply the 2nd term, divide the 3rd term, or find the geometric mean of the 2nd & 4th terms: √(6·54) = 18.
Answer:
Step-by-step explanation:
3(x+7)=-36
x+7=-12
x=-19
Answer:
To conduct the hypothesis test I would use the standard normal distribution to calculate the critical value and the p-value.
Step-by-step explanation:
To conduct the hypothesis test I would use the standard normal distribution because there is a large sample size of n = 125 households. This because a point estimator for the true proportion p of one-person households is
which is normally distributed with mean p and standard error
when the sample size n is large. Here Y is the random variable that represents the number of one-person households observed. Then the test statistic is
which has a standard normal distribution under the null hypothesis.
Answer:
75
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the opposite interior angles.
2x = x + 13 + 62
2x = x + 75
x = 75