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3 years ago

Write an expression to show the sum of fourteen and triple eight.

Mathematics

1 answer:

katrin [286]3 years ago

8 0

14x8³

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One True Love? A survey that asked whether people agree or disagree with the statement ‘‘There is only one true love for each pe

sertanlavr [38]

Answer:

99% confidence interval for the proportion of people who disagree with the statement is [0.667 , 0.713].

Step-by-step explanation:

We are given that a survey that asked whether people agree or disagree with the statement ‘‘There is only one true love for each person." has been conducted. The result is that 735 of the 2625 respondents agreed, 1812 disagreed, and 78 answered ‘‘don’t know."

Firstly, the pivotal quantity for 99% confidence interval for the population proportion is given by;

P.Q. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of people who disagree with the statement = $\frac{1812}{2625}$ = 0.69

n = sample of respondents = 2625

p = population proportion of people who disagree with statement

Here for constructing 99% confidence interval we have used One-sample z proportion statistics.

So, 99% confidence interval for the population proportion, p is ;

P(-2.58 < N(0,1) < 2.58) = 0.99 {As the critical value of z at 0.5% level

of significance are -2.58 & 2.58}

P(-2.58 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 2.58) = 0.99

P( $-2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < ${\hat p-p}$ < $2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.99

P( $\hat p-2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < p < $\hat p+2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.99

99% confidence interval for p = [ $\hat p-2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ , $\hat p+2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ]

= [ $0.69-2.58 \times {\sqrt{\frac{0.69(1-0.69)}{2625} } }$ , $0.69+2.58 \times {\sqrt{\frac{0.69(1-0.69)}{2625} } }$ ]

= [0.667 , 0.713]

Therefore, 99% confidence interval for the proportion of people who disagree with the statement is [0.667 , 0.713].

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3 years ago

Max makes a scale drawing of distance between salt lake city and Arizona. The distance between salt lake city and Arizona is 21

Elena L [17]

750 kilometers. 21 divided by 7 is 3. If 7 cm equals 250 km, then 7 × 3 = 250.

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3 years ago

Ivan is an artist. He creates 1 sculpture for every 7 paintings. If he has created 63 paintings, how many sculptures has he crea

Stels [109]

9 sculptures

63 : 7 x 1 = 9

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3 years ago

What is the answer to this

olasank [31]

Three times the variable m minus four is equal to fourteen.

Another way could be:

Four less than three multiplied by m is equivalent to fourteen.

The first way I put it is simpler but if you really want to impress your teacher then I suggest going with the second way.

Also if you are looking to solve the equation then it would be:

3m - 4 = 14

+4 +4

------------

3m = 18

----- -----

3 3

m = 5

Hope that helped :-)

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3 years ago

Solve the following equation: 1/3(y - 2) -5/6 (y + 1) =3/ 4(0 - 3) - 2

Evgesh-ka [11]

Answer:

11/5

Step-by-step explanation:

If you need help with more problems like this you can use m a t h w a y. (remove the spaces) :)

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3 years ago