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3 years ago

Kevin can jog 3,000 feet in 6 minutes. If he jogs at the same rate, how many feet can she jog in 9 minutes?

Mathematics

1 answer:

quester [9]3 years ago

5 0

Answer:

4500 feat

Step-by-step explanation:

6m=3000f

9m=x

we cross multiply and get

x= 9m × 3000f ÷ 6m

x= 4500 feat

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To convert 2/3 into an equivalent fraction with a denominator of 18, we could multiply only the denominator of 2/3 by.

Naya [18.7K]

Answer:

the answer is true

Step-by-step explanation:

3 0

3 years ago

Ann, Ben, and Cindy were eating strawberries. The ratio of the numbers of berries they ate is 5:5:7. If Cindy ate 30 strawberrie

agasfer [191]

Answer:

170

Step-by-step explanation:

Ann, Ben, and Cindy were eating strawberries.

The ratio of the numbers of berries they ate is 5:5:7.

If Cindy ate 30 strawberries less than Ann and Ben together,

find:

what is the total number of strawberries the three of them ate?

solution:

add the ratios 5 + 5 + 7 = 17

since Cindy ate 30, less than Ann and Ben together so, the equation is

7x = 5x + 5x - 30

7x - 10x = -30

x = 30/3

x = 10

ann 5 x 10 = 50

ben 5 x 10 = 50

cindy 7 x 10 = 70

total = 170

7 0

4 years ago

A manufacturer uses production method to produce steel rods. A random sample of 17 steel rods resulted in lengths with a standar

Arisa [49]

Answer:

$\chi^2 =\frac{17-1}{12.15} 22.09 =15.87$

Traditional method

We can find a critical value in the chi square distribution with df =16 who accumulates $\alpha/2 =0.05$ of the area on each tail and we got:

$\chi^2_{crit}= 7.962$

$\chi^2_{crit}=26.296$

Since the calculated value is between the two critical values we don't have enough evidence to conclude that the true deviation is NOT significantly different from 3.5 cm

Confidence level method

We can find the p value like this

$p_v =2*P(\chi^2 >15.87)=0.92$

Since the p value is higher then the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is NOT significantly different from 3.5 cm

Step-by-step explanation:

Data provided

$n=17$ represent the sample selected

$\alpha=0.1$ represent the significance

$s^2 =4.7^2 =22.09$ represent the sample variance

$\sigma^2_0 =3.5^2 =12.15$ represent the value to check

Null and alternative hypothesis

We want to verify if the new production method has lengths with a standard deviation different from 3.5 cm, so the system of hypothesis would be:

Null Hypothesis: $\sigma^2 = 12.15$

Alternative hypothesis: $\sigma^2 \neq 12.15$

The statistic for this case is given by:

$\chi^2 =\frac{n-1}{\sigma^2_0} s^2$

The degrees of freedom are:

$df =n-1= 17-1=16$

$\chi^2 =\frac{17-1}{12.15} 22.09 =15.87$

Traditional method

We can find a critical value in the chi square distribution with df =16 who accumulates $\alpha/2 =0.05$ of the area on each tail and we got:

$\chi^2_{crit}= 7.962$

$\chi^2_{crit}=26.296$

Since the calculated value is between the two critical values we don't have enough evidence to conclude that the true deviation is significantly different from 3.5 cm

Confidence level method

We can find the p value like this

$p_v =2*P(\chi^2 >15.87)=0.92$

Since the p value is higher then the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is significantly different from 3.5 cm

7 0

3 years ago

The goal of a toy drive is to donate more than 1000 toys. The toy drive already has collected 300 toys. How many more toys does

Brilliant_brown [7]

Answer:

Let t be the number of toys.

Since, the toy drive already has collected 300 toys

⇒ t+ 300

Also, it is given that the goal of a toy drive is to donate more than 1000 toys.

We get an inequality:

⇒ $t + 300 > 1000$

Solve an inequality:

$t + 300 > 1000$

Subtract 300 from both sides we get

$t + 300 -300 > 1000-300$

Simplify:

t > 700

Therefore, more than 700 toys does the toy drive need to meet its goal.

An inequality is; $t + 300 > 1000$ ; t > 700

7 0

3 years ago

If the table below represents a propornal relationship, what number will go

Aliun [14]

What goes in the empty box is 22 because they notes get multiplied by 2 to equal the time

7 0

3 years ago