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Answer:

28.27

Step-by-step explanation:

3.14 x 9

is how to do this problem

The dimension of the rectangle is 10 by 6.5

The given parameters are:

Length, (L) = 2W - 3

Area = 65

The area of a rectangle is:

A = LW

So, we have:

LW = 65

Substitute L =2W - 3

(2W - 3)W = 65

Expand

2W^2 - 3W = 65

Rewrite as:

2W^2 - 3W - 65 = 0

Using a graphing calculator, we have:

W = 6.5

Substitute W = 6.5 in L =2W - 3

L =2 * 6.5 - 3

Evaluate

L =10

Hence, the dimension of the rectangle is 10 by 6.5

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Answer:

Step-by-step explanation:

70

Answer:

(4, -7) thats the largest maximum

Answer:

the answer is actually study and you would know

Step-by-step explanation:

Answer:

3 and 19

Step-by-step explanation:

(3)^-2 (27)

the answer is C) 3

Answer:

x = 7

Step-by-step explanation:

Find the point on the graph that has the y-value of 8. Determine its x-value.

Answer:

8

Step-by-step explanation:

4(3)-4=?

12-4=?

8=?

Answer:

The answer is 8

Step-by-step explanation:

4(3)-4

4 times 3 is 12 subtract by 4 you get 8.

Answer15 y-int. (sety=0) 5%-15 (set x=0) x=3. 13,0).

Step-by-step explanation:

Answer: I think its A?

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Seeing that the two students are running aside from

each other. We can add the speeds together.

We can also subtract 10 feet from our goal of 1870

they are already feet apart.

1870ft / (150+1650) ft per min

we are left with our answer 6

Hope this helps!

Answer:

5.96 minutes :)

Answer:

(-5,7) 2nd          (8.5,-4) 4th       (0,5) y-axis

Step-by-step explanation:

Answer:

23.16 punces

Step-by-step explanation:

6x3.86=23.16

Answer: 23.16 ounces

Step-by-step explanation:

If there are 6 candy bars that each weigh 3.86 ounces, you need to add up all of the weights to find the total pack weight. 6*3.86=23.16

*If by any chance you need your answer to be in pounds, divide the answer by 16 (16 ounces in a pound). 23.16/16= 1.45 pounds

Answer:

1845/15=123

Step-by-step explanation:

Step-by-step explanation:

I don't now just paiattention to the problem that willed be more like it thx

Answer:

they need 4 buses

60+60+60=180 that does not get you to 196 so you would add 1 more bus

which equals 4 buses

Add all the times together:

10 + 25 + 15 = 50 minutes total.

For the ratio divide the time for weights by total time:

25/50 which reduces to 1/2

The ratio is 1/2

Answer:

15:50 = 3:10

3:10 is the answer

Answer:

Y= -72

Step-by-step explanation:

I dont know if that was the answer needed

Answer:

Step-by-step explanation:

Given

Absolute value is always positive:

Answer:

The mean launch temperature for flights with O-ring damage is significantly lesser than Flights with No O-ring

Step-by-step explanation:

Let

Null hypothesis : H0 : μ1 ≥ μ2

Alternate hypothesis : Ha : μ1 < μ2

next calculate the test statistic

t = -2.312

calculate the P-value

p-value = T.DIST ( t ,df )  (  excel function )

            = 0.0270

Given that P-value ( 0.020 ) < level of significance ( 0.05 ) we will not fail to reject the null hypothesis

Attached below is the detailed solution

Answer:

F

(

−

2

x

+

12

)

=

−

8

x

3

+

144

x

2

−

864

x

+

1731

Step-by-step explanation:

Answer:

Angle 3 is greater than angle 4

TrUsT mE

Answer:

2nd option..... Angles 3 and 4 are complementary Angles.

Step-by-step explanation:

area of traingle formed on right= 1/2*base*height

=1/2*5*6

= 15mi²

The correct answer is A.

The area of the square with a side length of 19 meters is 361 square meters.

To determine the area of a square, you multiply the length of one side by itself.

In this case, the side length is given as 19 meters.

To calculate the area of a square, you can use the formula:

Area = side length × side length

Area = 19 meters × 19 meters

Area = 361 square meters

So, the area of the square with a side length of 19 meters is 361 square meters.

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Answer:

The wingspan of a pelican is 1 8/15 feet longer than the wingspan of an eagle.

(1 whole 8/15 feet)

Step-by-step explanation:

We'll need to find a common denominator for the fractions. 15 is the lowest number divisible by both 5 and 3, so we'll use 15. For this problem, it's also easier to convert to improper fractions, in my opinion.

Pelican:

8 1/5 = 41/5

41/5 x 3/3 = 123/15

Eagle:

6 2/3 = 20/3

(20/3) x (5/5) = 100/15

Find the difference:

123/15 - 100/15 = 23/15 = 1 8/15

Please let me know if you have questions.

Answer:

[tex] \frac{1}{2} + \frac{10}{12} \: = \: \boxed{\frac{4}{3}} [/tex]

Explanation:

[tex] \frac{1}{2} + \frac{10}{12} \: = \: \frac{1 × 6}{2 × 6} + \frac{10}{12} \: = \: \frac{6}{12} + \frac{10}{12} \: = \: \frac{6 + 10}{12} \: = \frac{16}{12} \: = \: \frac{16 ÷ 4}{12 ÷ 4} \: = \: \frac{4}{3}[/tex]

[Multiply the numerator and denominator by the common denominator so that both denominators are the same]

[Add the numerators together]

[Reduce the fractions and simplify by a common denominator until the denominator or numerator cannot be divided evenly]

Answer:

π cm

Step-by-step explanation:

The formula for arc length (s) as a function of radius (r) and central angle Ф (in radians) is s = rФ.

In this problem r = 3 cm and Ф = 60°, and so the arc length subtended is

s = (3 cm)(π/3) = π cm

Answer:

A - 3307,50

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Its Spring break pls relax

Step-by-step explanation:

Answer:

a) A sample of 385 must be taken.

b) The 95% confidence interval for the proportion of workers who have changed jobs within the past year is (0.1216, 0.2784).

c) A sample of 246 is needed.

Step-by-step explanation:

Question a:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

Absence of preliminary data:

This means that we use [tex]\pi = 0.5[/tex], which is when the largest sample will be needed.

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

How large a sample must be taken to ensure that a 95% confidence interval will specify the proportion to within ±0.05?

A sample of n must be taken.

n is found when [tex]M = 0.05[/tex]. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.05\sqrt{n} = 1.96*0.5[/tex]

Dividing both sides by 0.05

[tex]\sqrt{n} = 1.96*10[/tex]

[tex](\sqrt{n})^2 = (19.6)^2[/tex]

[tex]n = 384.16[/tex]

Rounding up,

A sample of 385 must be taken.

Question b:

In a sample of 100 workers, 20 of them had changed jobs within the past year.

This means that [tex]n = 100, \pi = \frac{20}{100} = 0.2[/tex]

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 - 1.96\sqrt{\frac{0.2*0.8}{100}} = 0.1216[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 + 1.96\sqrt{\frac{0.2*0.8}{100}} = 0.2784[/tex]

The 95% confidence interval for the proportion of workers who have changed jobs within the past year is (0.1216, 0.2784).

Question c:

Same procedure as question a, just with [tex]\pi = 0.2[/tex]

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 1.96\sqrt{\frac{0.2*0.8}{n}}[/tex]

[tex]0.05\sqrt{n} = 1.96\sqrt{0.2*0.8}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.2*0.8}}{0.05}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.2*0.8}}{0.05})^2[/tex]

[tex]n = 245.8[/tex]

Rounding up

A sample of 246 is needed.