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2 years ago

How many solutions does this equation have? 14t − 20 = 14t − 13 − 7

Mathematics

2 answers:

Yanka [14]2 years ago

8 0

Answer:

infinitely many

Step-by-step explanation:

Combine like terms on the right-hand side:

14t-20=14t-20

Add 20

14t=14t

divide by 14

t=t

this means that there are infinitely many solutions

Genrish500 [490]2 years ago

3 0

Answer:

one(1)

Step-by-step explanation:

14t - 20= 14t - 13 - 7

14t - 20 = 14t - 20

collect like terms

14t -14t = -20 + 20

t = 0.

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A college student is interested in investigating the TV-watching habits of her classmates and surveys 20 people on the number of

Alla [95]

Answer:

80% confidence interval of the true average number of hours of TV watched per week is [8.28 hours, 11.02 hours].

Step-by-step explanation:

We are given that a college student is interested in investigating the TV-watching habits of her classmates and surveys 20 people on the number of hours they watch per week. The results are provided below;

Hours of TV per week (X): 6, 14, 13, 6, 16, 10, 19, 4, 5, 5, 18, 8, 7, 14, 8, 8, 9, 12, 6, 5.

Firstly, the Pivotal quantity for 80% confidence interval for the true average is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean number of hours of TV watched per week = $\frac{\sum X}{n}$ = 9.65

s = sample standard deviation = $\sqrt{\frac{\sum (X -\bar X)^{2} }{n-1} }$ = 4.61

n = sample of people = 20

$\mu$ = true average number of hours of TV watched per week

Here for constructing 80% confidence interval we have used One-sample t-test statistics as we don't know about population standard deviation.

So, 80% confidence interval for the true average, $\mu$ is ;

P(-1.33 < $t_1_9$ < 1.33) = 0.80 {As the critical value of t at 19 degrees of

freedom are -1.33 & 1.33 with P = 10%}

P(-1.33 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 1.33) = 0.80

P( $-1.33 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $1.33 \times {\frac{s}{\sqrt{n} } }$ ) = 0.80

P( $\bar X-1.33 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.33 \times {\frac{s}{\sqrt{n} } }$ ) = 0.80

80% confidence interval for $\mu$ = [ $\bar X-1.33 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+1.33 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $9.65-1.33 \times {\frac{4.61}{\sqrt{20} } }$ , $9.65+1.33 \times {\frac{4.61}{\sqrt{20} } }$ ]

= [8.28 hours, 11.02 hours]

Therefore, 80% confidence interval of the true average number of hours of TV watched per week is [8.28 hours, 11.02 hours].

7 0

3 years ago

A construction crew needs to build a road that will be 20 miles long. The crew already completed a stretch that is 6.44 miles lo

Mademuasel [1]

Answer:

Your answer would be (B) 4.94. Hope this helped!

6.44 + 8.62 = 15.06

20 - 15.06 = 4.94

Step-by-step explanation:

Hope this helps : )

8 0

3 years ago

Read 2 more answers

One polygon has a side of length 3 feet.A similar polygon has a corresponding side of length 9 feet.the ratio of the perimeter o

Olegator [25]

The ratio of the smaller to the larger is 3:9. That can also be written as a fraction, $\frac{3}{9}$ , which of course can be reduced to $\frac{1}{3}$ or 1:3. That's your ratio.

8 0

3 years ago

6. Sue has 18 homework problems. She has 3 times as many problems as John. Which equation shows how many problems John has (j)?

Oksana_A [137]

Answer:

B if thats to divide 18 by 3

Step-by-step explanation:

Sue has 3 times as many problems as John so if she has 18 problems you divide by 3 to get the number of johns problems

5 0

3 years ago

Read 2 more answers

The number of patients treated at Dr. McCormick’s dentist office each day was recorded for nine days. These are the data: 13, 16

arlik [135]

Hi!

Let's start with the mean.

The mean is all the numbers added together, divided by how many numbers there are.

13+16+16+10+6+12+4+12+16=105
there are 9 numbers so..
105/9 = 11.7

The mean is 11.7

Find the median.

The median is the number in the middle of the data set when the numbers are in numerical order.

4, 6, 10, 12, 12, 13, 16, 16, 16

The median is 12.

Find the mode.

The mode is the number that is repeated the most.

4, 6, 10, 12, 12, 13, 16, 16, 16

The mode is 16

Find the range.

The range is the difference of the smallest number from the biggest number.

16 - 4 = 12

The range is 12

The answer is 11.7, 12, 16, 12

Hope this helps! :)

4 0

4 years ago