MATHEMATICS COLLEGE

Aiden attended school for 408 minutes, played basketball for 138 minutes, and worked on homework for 111 minutes. Estimate how much time he spent doing these activities by rounding to the nearest ten first and then adding the rounded numbers.

Answers

Answer 1

Answer:

Answer:

well 660

Step-by-step explanation:

well frist we will have to subtract 408 with every other number

408-138=270

270-111=159

this is what he had left

but if it's the other way around 410+140+110=660

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A college professor states that this year's entering students appear to be smarter than entering students from previous years. The college's records indicate that the mean IQ for entering students from earlier years. is 110.3. Suppose we want to sample a smaller number of this year's entering students and carry out a hypothesis test to see if the professor statement can be supported. State the null and alternative hypothesis.

It is believed that the average amount of money spent per U.S. household per week on food is about $98, with standard deviation $11. A random sample of 36 households in a certain affluent community yields a mean weekly food budget of $100. We want to test the hypothesis that the mean weekly food budget for all households in this community is higher than the national average. State the null and alternative hypotheses for this test, the test statistic and determine if the results significant at the 5% level.

Answers

Answer:

The null hypothesis is

$H_o : \mu =$ $98

The alternative hypothesis is

$H_a : \mu >$ $98

test statistics $t_s = 1.091$

The the result of the test statistics is significant

Step-by-step explanation:

From the question we are told that

The population mean is $\mu =$ $98

The standard deviation is $\sigma =$ $11

The sample size is $n = 36$

The sample mean is $\= x =$ $100

The level of significance is $\alpha = 5$ % = 0.05

The null hypothesis is

$H_o : \mu =$ $98

The alternative hypothesis is

$H_a : \mu >$ $98

Now the critical values for this level of significance obtained from critical value for z-value table is $z_\alpha = 1.645$

The test statistics is mathematically evaluated as

$t_s = (\= x - \mu)/( (\sigma )/( √(n) ) )$

substituting values

$t_s = (100 - 98)/( (11 )/( √(36) ) )$

$t_s = 1.091$

Looking at $z_\alpha \ and \ t_s$ we see that $z_\alpha \ > t_s$ hence the we fail to reject the null hypothesis

hence there is no sufficient evidence to conclude that the mean weekly food budget for all households in this community is higher than the national average.

Thus the the result is significant

Michelle bought five packs of crayons for $13.75.What is the cost of a pack of crayons, in dollars, if all the packs cost the same?

Help please :/

Answers

Answer:

$68.75

Step-by-step explanation:

$13.75 times 5 crayon boxes

Luis is doing his math homework. He has 30 problems in all. After an hour, he only has 1/6 of those problems left. How many problems does he have left?

Answers

Answer:

$\huge\boxed{5}$

Step-by-step explanation:

Luis has 30 problems and after one hour, $(1)/(6)$ of those problems are left. This means that the total number of problems left will be $30 \cdot (1)/(6)$ .

Multiplying by a fraction is the same as dividing by a whole. The denominator of $(1)/(6)$ is 6, so we can divide 30 by 6.

$30 / 6 = 5$

Hope this helped!

Answer: 25

Step-by-step explanation: 1/6 of 30 is 5, so 30 minus 5 equals 25.

4. A recipe says that 2 3/5 cups of flour are needed to make 1 batch of biscuits. How many cups of flour are needed to make 2 batches of biscuits? O 43/5 O 51/5 O 26/10 O 6