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ANEK [815]
2 years ago
10

a jigsaw puzzle has edge pieces and inside pieces. the ratio 3:22. there are 924 inside pieces. calculate the total number of pi

eces in the puzzle
Mathematics
1 answer:
statuscvo [17]2 years ago
4 0
Okay. So, 924 pieces are inside. Let’s divide to see how many times 22 goes into 924. 924/22 = 42. So now, multiply 3 by 42 to do the same thing the opposite way. The product is 126. There are 126 edge pieces in the puzzle. You can do 126/924 to get the fraction in simplest form to be 3/22. To find the total number of pieces, add both numbers up. The sum of the two numbers is 1,050. There are 1,050 total pieces in the puzzle.
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Sheri’s cab fare was $32, with a 20% gratuity and no taxes. Sheri wrote a check to the cab driver for $40.
stira [4]

Yes, $40 is a reasonable amount to pay for the cab fare.

<em><u>Explanation</u></em>

Sheri’s cab fare was $32 and the percentage of gratuity is 20%

So, the amount of gratuity will be: \$32* 20\% = \$32*0.20= \$6.40

Thus, <u>the fare of the cab including the gratuity</u> will be:  \$32+\$6.40 = \$38.40

As Sheri wrote a check to the cab driver for $40 , it means she paying ($40 - $38.40) or <u>$1.60 more to the cab driver</u>. So, the $40 check is a reasonable amount to pay for the cab fare.

5 0
2 years ago
Read 3 more answers
In 1998 the average income for middle class families in the US was $37,100 with a population standard deviation of $6362. We wan
sammy [17]

Answer:

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-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".  

The best answer would be:

A. Z test

Step-by-step explanation:

Data given and notation  

\bar X=36670 represent the mean average

\sigma=6362 represent the population standard deviation for the sample  

n=1225 sample size  

\mu_o =37100 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

z 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 equal or not to 37100, the system of hypothesis would be:  

Null hypothesis:\mu =37100  

Alternative hypothesis:\mu \neq 37100  

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-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".  

The best answer would be:

A. Z test

5 0
2 years ago
Water has a density of 1.0 g/cm3. What is the mass of 10.0 cm3 of water?
fgiga [73]
1.0g/cm3 means that the mass of one cm3 is 1.0g
The easiest method to use is the rule of three, and let x be the mass of 10.0 cm3 of water
1g -- > 1.0 cm3
x --> 10.0 cm3

x= (10*1)/1
x=10.0 g

So the mass of 10.0 cm3 of water is 10.0g

Hope this Helps! :)
8 0
2 years ago
Read 2 more answers
A rabbit started at point 0 and made 3 jumps: a jump of 4 units, then a jump of 2 units, and then a jump of 1 unit. We do not kn
allochka39001 [22]

Answer:

<u>The rabbit could be at eight different numbers of the number line:</u>

<u>-7, - 5, - 3, - 1, 1, 3, 5, and 7.</u>

Step-by-step explanation:

Let's simulate each of the jumps of the rabbit in all the possible directions, as follows:

Option 1: - 4 - 2 - 1 = -7

Option 2: - 4 - 2 + 1 = -5

Option 3: - 4 + 2 - 1 = - 3

Option 4: - 4 + 2 + 1 = - 1

Option 5:  4 - 2 - 1 = 1

Option 6: 4 - 2 + 1 = 3

Option 7: 4 + 2 - 1 = 5

Option 8: 4 + 2 + 1 = 7

7 0
1 year ago
A sample with a sample proportion of 0.4 and which of the following sizes will produce the widest 95% confidence interval when e
Fed [463]

Answer:

C. 50

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

The higher the margin of error, the wider an interval is.

As the sample size increases, the margin of error decreases. If we want a widest possible interval, we should select the smallest possible confidence interval.

So the correct answer is:

C. 50

6 0
2 years ago
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