A classroom board is 48 inches wide and 32 inches tall.

I fill an aquarium to a depth of 3/8 meters in 6 minutes. What is the unit rate in minutes per meter?

Elena L [17]

Answer:

16 minutes per meter

Step-by-step explanation:

Depth = 3/8 meters

Time taken = 6 minutes

What is the unit rate in minutes per meter?

Time taken per depth = minutes per meter

Unit rate in minutes per meter = 6 minutes ÷ 3/8 meters

= 6 minutes × 8/3 meters

= 48/3

= 16 minutes per meter

5 0

3 years ago

11) A map of North Carolina is scaled so that 3 inches represents 93 miles. How far apart are Raleigh

aliina [53]

Answer:

Step-by-step explanation:

please help

8 0

2 years ago

Work out these questions without a calculator and showing all working out

natima [27]

1) 6÷0.2 = 30

If 6/2=3 then 6/0.2=30 as the decimal place shifts one place.

2)8÷0.1 = 80

8/1=8 so shift the decimal place over once to make 80.

3)9÷0.3 = 30

9/3=3 so shift the decimal place over once to get 30.

4)4÷0.04 = 100

4/4=1 so shift the decimal place over twice to get 100.

5)7÷0.002 = 3500

7/2=3.5 so shift the decimal place over three times to get 3500

6)0.718÷0.2 = 3.59

718/2=359 so shift the decimal over three places for the 0.718 and then back over once for the 0.2

7)0.0141÷0.003 = 4.7

141/3=47 so shift the decimal over our times for the 0.0141 and then back over three times for the 0.003

8)0.24÷0.012 = 20

24/12=2 so shift the decimal point over once twice for 0.24 then back over three times for 0.012

9)1.625÷0.0013 = 1250

1625/13=125 so shift the decimal point over three times for the 1.625 and then back four times for the 0.0013

10)47.1÷0.15 = 314

471/15=31.4 so shift the decimal point over once for the 47.1 and then back over twice for the 0.15.

Hope this helps :)

3 0

3 years ago

The average price of a movie ticket in the United States from 1980 to 2000 can be modeled by the expression 2.75+0.10x, where x

Trava [24]

Answer:

2.75

Step-by-step explanation:

0.10 represents the rate at which prices have increased since 1980..

2.75 represents the price in 1980

This can be confirmed by inputting 0 as the value of x.

2.75+0.10(0) = 2.75

3 0

3 years ago

Consider a chemical company that wishes to determine whether a new catalyst, catalyst XA-100, changes the mean hourly yield of i

kolezko [41]

Answer:

Null hypothesis: $\mu = 750$

Alternative hypothesis: $\mu \neq 750$

$t=\frac{811-750}{\frac{19.647}{\sqrt{5}}}=6.943$

$p_v =2*P(t_{4}>6.943)=0.00226$

If we compare the p value and a significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the actual true mean is significantly different from 750 pounds per hour.

Step-by-step explanation:

Data given and notation

Data: 801, 814, 784, 836,820

We can calculate the sample mean and sample deviation with the following formulas:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}$

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$\bar X=811$ represent the sample mean

$s=19.647$ represent the standard deviation for the sample

$n=5$ sample size

$\mu_o =750$ represent the value that we want to test

$\alpha$ 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 to be tested

We need to conduct a hypothesis in order to determine if the mean is different from 750 pounds per hour, the system of hypothesis would be:

Null hypothesis: $\mu = 750$

Alternative hypothesis: $\mu \neq 750$

Compute the test statistic

We don't know the population deviation, so for this case 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".

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

$t=\frac{811-750}{\frac{19.647}{\sqrt{5}}}=6.943$

Now we need to find the degrees of freedom for the t distirbution given by:

$df=n-1=5-1=4$

What do you conclude?

Compute the p-value

Since is a two tailed test the p value would be:

$p_v =2*P(t_{4}>6.943)=0.00226$

If we compare the p value and a significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the actual true mean is significantly different from 750 pounds per hour.

4 0

3 years ago