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Vlada [557]
1 year ago
15

Choose all lengths that are equal to 3 yards 16 inches.

Mathematics
1 answer:
Feliz [49]1 year ago
7 0

we are given

length =3 yards and 16 inches

now, we can change it in inches

we know that

1 yard =36 inches

so, we get

length =3*36 inches and 16 inches

length=124 inches

now, we will check each option

option-A:

we can see that this is also 124 inches

so, this is TRUE

option-B:

4 yd 4 in

we can change into inches

we know that

1 yard =36 inches

4 yd 4 in=4*36 inches +4 inch

4 yd 4 in=144 in

this is not equal to 124 in

so, this is FALSE

option-C:

3 yd 1 1/2 in

we know that

1 yard =36 inches

3 yd 1 1/2 in = 3*36+\frac{11}{2}

3 yd 1 1/2 in = 113.5 in

this is not same as 124 in

so, this is FALSE

option-D:

2 yd 52 in

we know that

1 yard =36 inches

2 yd 52 in =2*36+52

2 yd 52 in =124 in

so, this is same

so, this is TRUE

option-E:

10 ft 4 in

we know that

1 feet =12 inches

so,

10 ft 4 in=12*10 +4 in

10 ft 4 in=124 in

this is same

so, this is TRUE

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in a random sample of 200 people, 154 said that they watched educational television. fine the 90% confidence interval of the tru
melisa1 [442]

Answer:

[0.7210,0.8189] = [72.10%, 81.89%]

Step-by-step explanation:

The sample size is  

n = 200

the proportion is

p = 154/200 = 0.77

<em>Since both np ≥ 10 and n(1-p) ≥ 10 </em>

<em>We can approximate this discrete binomial distribution with the continuous Normal distribution. As the sample size is large enough, not applying the continuity correction factor makes no significant  difference. </em>

The approximation would be to a Normal curve with this parameters:

<em>Mean </em>

p = 0.77

<em>Standard deviation </em>

\bf s=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.77*0.23}{200}}=0.0298

The 90% confidence interval for the proportion would be then  

\bf  [0.77-z^*0.0298, 0.77+z^*0.0298]

where \bf z^* is the 10% critical value for the Normal N(0,1) distribution , this is a value such that the area under the N(0,1) curve outside the interval \bf [-z^*,z^*] is 10%=0.1

We can either use a table, a calculator or a spreadsheet to get this value.

In Excel or OpenOffice Calc we use the function

<em>NORMSINV(0.95) and we get a value of 1.645 </em>

The 90% confidence interval for the proportion is then

\bf  [0.77-1.645^*0.0298, 0.77+1.645^*0.0298]=[0.7210,0.8189]

This means there is a 90% probability that the proportion of people who watch educational television is between 72.10% and 81.89%

If the television company wanted to publicize the proportion of viewers, do you think it should use the 90% confidence interval?

Yes, I do.

5 0
1 year ago
How much water is in an empty glass that is 10cm high and has a diameter of 5cm
Lilit [14]

Answer:

How much water is in an empty glass that is 10cm high and has a diameter of 5 cm ?

= 196,25 cm

Step-by-step explanation:

diameter = 5 cm

radius = 1/2 × diameter

radius = 1/2 × 5 = 2,5

How much water is in an empty glass that is 10cm high and has a diameter of 5 cm?

= π × r × r × high

= 3,14 × 2,5 × 2,5 × 10

= 196,25 cm

4 0
1 year ago
The values in the table represent a function. f(x) Use the drop-down menus to complete the statements. The ordered pair given in
dezoksy [38]
The answer would be
You got it right
I wish i saw this when i needed jt too
Explanation
Absolutely
6 0
1 year ago
Read 2 more answers
In an article in Statistics and Computing [""An Iterative Monte Carlo Method for Nonconjugate Bayesian Analysis"" (1991, pp. 119
Marina CMI [18]

Answer:

Step-by-step explanation:

Hello!

a)

The dependent variable is

Y: length of a dugong

The explanatory variable is

X: age of a dugong

You need to estimate the linear regression of the length of the dugongs as a function of their age.

Using the given data I've estimated the regression using a statistic software:

The regression model is E(Yi)= α + βXi

The estimated model is ^Yi= a + bXi

Where a is the estimate of the intercept and b is the estimate of the slope:

a= 2.02

b= 0.03

And the estimate of the population variance of the error is Se²= 0.03

The estimated regression equation is ^Yi= 2.02 + 0.03Xi

b)

You have to estimate the length of a dugong when its age is 11 years using the model, for this all you have to do is replace X=11 in the regression line and calculate the corresponding ^Y value:

^Yi= 2.02 + 0.03*11= 2.35

The average length of an 11-year-old dugong should be 2.35.

I hope it helps!

5 0
1 year ago
Carmela mixes 3/4 kilogram of walnuts, 1/2 kilogram of almonds, and 1/4 kilogram of pecans together. She divides the mixed nuts
Evgesh-ka [11]

Amount of walnuts=\frac{3}{4} kg

Amount of almonds=\frac{1}{2} kg

Amount of pecans=\frac{1}{4} kg

Total amount=\frac{3}{4}+\frac{1}{2}+\frac{1}{4}

LCM is 4 so sum is = \frac{3+2+1}{4}=\frac{6}{4} =\frac{3}{2}

As given, Carmela divides the mixed nuts into 3/10 kilogram bags so number of bags will be:

\frac{\frac{3}{2}}{\frac{3}{10}}

= \frac{3}{2}\times\frac{10}{3} = 5

Hence, answer is 5 bags.


5 0
2 years ago
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