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algol [13]
3 years ago
7

the area of ava rectangular back yard is 325 square yards.if the length of the yards is 13 yards,what is the width of the yard

Mathematics
2 answers:
Novosadov [1.4K]3 years ago
8 0
325 square yards divided by 13 square yards equals 25 square yards.
Viktor [21]3 years ago
6 0

It is given in the question that, The area of ava rectangular back yard is 325 square yards and the length of the yards is 13 yards.

Let the width be w yard .

And area of rectangle is the product of length and width .

So we have

325 = 13 w

Dividing both sides by w

\frac{325}{13} = \frac{13w}{13} => w = 25 yards .

So the width is 25 yards .


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A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 340 babies were​ born, a
Bas_tet [7]

Answer:

The 99% confidence interval estimate of the percentage of girls born is (0.8, 0.9).

b)Yes, the proportion of girls is significantly different from 0.5.

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 interval 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}.

For this problem, we have that:

In the study 340 babies were​ born, and 289 of them were girls. This means that n = 340, \pi = \frac{289}{340} = 0.85

Use the sample data to construct a 99​% confidence interval estimate of the percentage of girls born.

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{340}} = 0.85 - 2.575\sqrt{\frac{0.85*0.15}{400}} = 0.80

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{340}} = 0.85 + 2.575\sqrt{\frac{0.85*0.15}{400}} = 0.90

The 99% confidence interval estimate of the percentage of girls born is (0.8, 0.9).

Does the method appear to be ​effective?

b)Yes, the proportion of girls is significantly different from 0.5.

4 0
3 years ago
Jose trabaja en una capinteria su jhefe le `pidio que cortara 9metros en cuatro partes de la misma longitud cuantoi deberia medi
Anna11 [10]

Responder:

2 1/4 m; 225 cm

Explicación paso a paso:

Dado:

Cortar 9 metros en 4 partes de la misma longitud;

Por lo tanto,

9 metros / 4

= 2,25 metros

Por lo tanto, cada varilla será 2.25 = 2 1/4 m

En cm;

1 m = 100 cm

2,25 metros = x

x = 100 * 2,25

x = 225 cm

5 0
3 years ago
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nika2105 [10]

This is a weird question but I believe sense you did bring the money then you are going to buy lunch.

5 0
4 years ago
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What is the slope of the line that contains the points (-2,2) and (3,4)
malfutka [58]

<u><em>Answer: B. 2/5 *The answer must have a fraction.</em></u>

Explanation:

Slope-intercept form: → y=mx+b

m: represents the slope and is constant.

b: represents the y-intercept.

Used rise/run.

\frac{rise}{run}

x^1,y^1=(-2,2)

x^2,y^2=(3,4)

You had to find the slope by using formula.

Slope=\frac{y^2-y^1}{x^2-x^1}

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subtract by the numbers and add the numbers too.

\frac{4-2=2}{3-(-2)=3+2=5}

=\frac{2}{5}

Hope this helps!


4 0
3 years ago
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