Solve for x in the inequality.

In a jar of coins, the ratio of nickels to dimes is 2:7. If the jar contains 350 nickels, how many dimes are there? A) 175 B) 35

Dvinal [7]

No nickles = 2x and that of dimes = 7x so 2x = 350 get x and the no of dimes
so like 2x = 350 divide by 2 on both sides so x = 175 ... and no of dimes = 7*x = 7*175 = 1225
Hope it helps :)

3 0

3 years ago

Read 2 more answers

Convert 5 1/8 to a fractional notation

nataly862011 [7]

Basically speaking, a fractional notation is the same as a fraction itself. Thus, the best way to express the given problem in here would be to turn it into a fraction. Since the given variable is a mixed number, meaning that it is a whole number and a fraction combined, it can be turned into just a fraction or more specifically, an improper fraction. To do this, we have to take the denominator and multiply it to the whole number. After that, the product would be added to the numerator. The sum would be the new numerator and the denominator would remain the same. Thus, the answer would be 41/8

7 0

3 years ago

I really need help so please be right .Write the radical in simplest radical form and you must show all steps please. √(5/8)

Reptile [31]

Answer:

√5/6

Step-by-step explanation:

7 0

2 years ago

The Rocky Mountain district sales manager of Rath Publishing Inc., a college textbook publishing company, claims that the sales

andrezito [222]

Answer:

$t=\frac{44-42}{\frac{1.9}{\sqrt{40}}}=6.657$

$p_v =P(t_{(39)}>6.657)=3.17x10^{-8}$

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 42 at 1% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=44$ represent the sample mean

$s=1.9$ represent the sample standard deviation

$n=40$ sample size

$\mu_o =42$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is higher than 42, the system of hypothesis would be:

Null hypothesis: $\mu \leq 42$

Alternative hypothesis: $\mu > 42$

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{44-42}{\frac{1.9}{\sqrt{40}}}=6.657$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=40-1=39$

Since is a one side test the p value would be:

$p_v =P(t_{(39)}>6.657)=3.17x10^{-8}$

Conclusion

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 42 at 1% of signficance.

3 0

3 years ago

a box of colored pencils contain exactly 6 red pencils. The probability of choosing a red pencil from the box is 2/7. How many o

katrin [286]

Answer:

15

Step-by-step explanation:

You have to find the total number of crayons whcih will be 21.

Then you do 21-6 ( red pencil) to get 15

15 pencil not read.

7 0

3 years ago