The perimeter of a rectangular field is 74 yards. The length of the field is 27 yards. What is the width in yard of the field

Answers

Answer 1

Answer:

The width of the yard whose length is 27 yards and perimeter is 74 yards is evaluated to be 10 yards

How to find the perimeter of a rectangle?

For a rectangle with length and width L and W units, we get:

Perimeter of the rectangle = $2(L + W) \: \rm units$

For this case, let we assume that:

The width of the considered rectangular field = W yards

Then, as we're provided that:

Perimeter of the rectangular field = 74 yards
Length of the rectangular field = 27 yards.

Putting these in the formula for perimeter of a rectangle, we get;

$Perimeter = 2( L + W)\n74 = 2(27 + W)\n\n\text{Dividing both the sides by 2}\n\n(74)/(2) = (2(27+W))/(2)\n\n37 = 27 + W\n\n\text{Subtracting 27 from both the sides}\n\n37 - 27 = W\nW = 10 \: \rm yards$

Thus, the width of the yard whose length is 27 yards and perimeter is 74 yards is evaluated to be 10 yards

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Answer 2

Answer:

Answer:

width = 10 yds

Step-by-step explanation:

perimeter = 2L + 2W

74 = 2(27) + 2W

74 = 54 + 2W

subtract 54 from both sides of the equation:

2W = 20

divide both sides by 2:

W = 10

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It takes Doug 3 days to reroof a house. If Doug's son helps, it can be done in 2 days. How long would it take Doug's son to do the job alone?

Answers

it would take his son 3 days

Find the perimeter of rectangle MNOP with vertices M (-2,5), N (-2, -4), O (3, -4), and P (3,5)Part B: Square ABCD has vertices, A (-3.5, 4), B (3.5, 4), C (3.5, -4) and D (-4.5, -4. What is the area of Square ABCD?

Answers

Answer:

(-3.5,4)b

Step-by-step explanation:

Right or leftMost people are right-handed, and even the right eye is dominant for most people. Molecular biologists have suggested that late-stage human embryos tend to turn their heads to the right. In a study reported in Nature (2003), German bio-psychologist OnurGüntürkün conjectured that this tendency to turn to the right manifests itself in other ways as well, so he studied kissing couples to see which side they tended to lean their heads while kissing. He and his researchers observed kissing couples in public places such as airports, train stations, beaches, and parks. They were careful not to include couples who were holding objects such as luggage that might have affected which direction they turned. For each kissing couple observed, the researchers noted whether the couple leaned their heads to the right or to the left. They observed 124 couples, ages 13–70 years. Suppose that we want to use the data from this study to investigate whether kissing couples tend to lean their heads right more often than would happen by random chance.

The symbol π represents the long-run proportion of all the couples that lean their heads
leftright

while kissing.

Which of the following best describes the null hypothesis and the alternative hypothesis using π?

null: π ≠ 0.5, alternative: π > 0.5
null: π = 0.5, alternative: π < 0.5
null: π = 0.5, alternative: π > 0.5
null: π ≠ 0.5, alternative: π < 0.5

Of the 124 kissing couples, 80 were observed to lean their heads right. What is the observed proportion of kissing couples who leaned their heads to the right? What symbol should you use to represent this value? (Round answer to 3 decimal places, e.g. 5.275)
p^=

the absolute tolerance is +/-0.001

Determine the standardized statistic from the data. (Hint: You will need to get the standard deviation of the simulated statistics from the null distribution.) (Round answer to 2 decimal places, e.g. 52.75)
z =

the absolute tolerance is +/-0.02

Interpret the meaning of the standardized statistic.

The observed proportion of couples who leaned to the right when kissing is 3.22 standard deviations above the null hypothesized value of 0.50.
The observed proportion of couples who leaned to the right when kissing is 3.22 standard deviations away from the null hypothesized value of 0.50.
The observed proportion of couples who leaned to the right when kissing is 3.22 standard deviations below the null hypothesized value of 0.50.

Select the best conclusion that you would draw about the null and alternate hypotheses.

We have strong evidence that the proportion of couples that lean their heads to the right while kissing is more than 50%.
We have strong evidence that the proportion of couples that lean their heads to the right while kissing is less than 50%.
We have strong evidence that the proportion of couples that lean their heads to the right while kissing is 50%.
We have strong evidence that the proportion of couples that lean their heads to the right while kissing is near to 50%.

Answers

Answer:

1) null: π = 0.5, alternative: π > 0.5

2)p^= 80/124 =0.645

std error =(phat(1-phat)/n)1/2 =0.0430

3)z = (phat-p)/std erro =(0.645-0.5)/0.0430 =3.22

4)The observed proportion of couples who leaned to the right when kissing is 3.22 standard deviations above the null hypothesized value of 0.50

5)We have strong evidence that the proportion of couples that lean their heads to the right while kissing is more than 50%

Find the mean of the binomial random variable. Round to two decimal places when necessary. According to a college survey, 22% of all students work full time. Find the mean for the random variable X, the number of students who work full time in samples of size 16. Group of answer choices 2.75 4 3.52 0.22

Answers

Answer:

3.52

Step-by-step explanation:

Calculation to Find the mean for the random variable X

Using this formula

Mean(μ) =(n*p)

Where,

n=16

p=22% or 0.22

Let plug in the formula

Mean(μ)=16×0.22

Mean(μ)=3.52

Therefore the mean for the random variable X will be 3.52

Which statements are true about triangle XYZ? Select three options.XY measures units.
YZ measures units.
ZX measures units.
XYZ is a right triangle.
XYZ is a scalene triangle.

Answers

First, second and fourth options are true about triangle XYZ.

XY measures $√(26)$ units.

YZ measures $√(52)$ units.

ZX measures $√(26)$ units.

XYZ is a right triangle.

What is right triangle?

A triangle in which one of the interior angles is 90° is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.

Given X (-1, 5), Y (4, 4), Z (-2, 0)

Distance between two points D = $\sqrt{(x_(2)-x_(1)) ^(2) +(y_(2)-y_(1)) ^(2)}$

|XY| = $\sqrt{(4-5)^(2) +(4+1)^(2) } =\sqrt{1^(2)+5^(2) } =√(26)$

|YZ| = $\sqrt{(0-4)^(2) +(-2-4)^(2) } =\sqrt{4^(2)+6^(2) } =√(52)$

|XZ| = $\sqrt{(0-5)^(2) +(-2+1)^(2) } =\sqrt{5^(2)+1^(2) } =√(26)$

$|XY|^(2) +|XZ|^(2) =|YZ|^(2)$

So, XYZ is a right triangle.

So, the first, second and fourth options are correct.

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#SPJ3

Answer: a and d

Step-by-step explanation:

edge

D+16/3=17 the steps??!!

Answers

Answer:

Step-by-step explanation:

D+16/3=17 the steps?

1. D+16/3=17

Divide 16/3.

D+6 = 17

2. subtract 6 from both side.

D = 11.

Answer is D=35

STEP1:

d + 16
Simplify ——————
3
Equation at the end of step
1
:

(d + 16)
———————— - 17 = 0
3
STEP
2
:
Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

17 17 • 3
17 = —— = ——————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(d+16) - (17 • 3) d - 35
————————————————— = ——————
3 3
Equation at the end of step
2
:

d - 35
—————— = 0
3
STEP
3
:

When a fraction equals zero :

3.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

d-35
———— • 3 = 0 • 3
3
Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
d-35 = 0

Solving a Single Variable Equation:

3.2 Solve : d-35 = 0

Add 35 to both sides of the equation :
d = 35

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