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3 years ago

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A football team loses 3 yards on one play and 6 yards on another play. Write a sum of negitive integers to represent this situat

ion. find the sum and explain how it is related to the problem

1 answer:

SVETLANKA909090 [29]3 years ago

3 0

-3+-6=-9 -9 is how many yards the football team has lost overall in the two plays

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Find the annual interest rate. Round your answer to the nearest hundredth of a percent. I=$160.67, P=$2000, t=8 monthsI=$160.67,

Keith_Richards [23]

Answer:

The annual interest rate is 12.05%.

Step-by-step explanation:

The simple interest is given by the formula:

$I=\dfrac{P\times R\times T}{100}$

Where I denotes interest.

P denotes the principal amount.

R denotes the rate of interest

and T denotes the time period.

I=$160.67, P=$2000, t=8 months=8/12 years (Since 12 months=1 year so 1 month=1/12 year)

$160.67=\dfrac{2000\times R \times \dfrac{8}{12}}{100}\\\\R=12.05%$

Hence, the annual interest rate is 12.05%.

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3 years ago

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josiah is ready to purchase a new watch. it is regularly priced at $480.77. the sale price is $380.54. what is the mark down on

dem82 [27]

20.8478066 (or 20.85%)
you do 480.77 minus 380.54 and it comes out to 100.23 and then you do 100.23/480=x/100 (discount/original=percent/100) and you multiply 100.23 by 100 and it comes to 10023 and you do 10023 divided by 480.77 and it comes out to 20.8478066 or 20.85%

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3 years ago

miles bought 3.75 acres of land in 1993. in 1197, he bought enough land to double his property. then in 2001, miles was forced t

Musya8 [376]

Miles has 3.45 acres of land now. You're welcome.

4 0

3 years ago

What is the length of CD to the nearest 10th?

Snezhnost [94]

Answer:

$\huge \boxed{\mathrm{10.3 \ units}}$

Step-by-step explanation:

To solve for <em>CD</em>, we can create a right triangle.

Where <em>CD</em> becomes the hypotenuse.

The length of the base of the triangle is 9 units.

The length of the height of the triangle is 5 units.

Apply Pythagorean theorem to solve for the hypotenuse.

$\sf hypotenuse = \sqrt{(base )^2 +(height )^2 }$

$c=\sqrt{9^2 +5^2 }$

$c=\sqrt{106}$

$c \approx 10.29$

3 0

3 years ago

A manufacturer of golf equipment wishes to estimate the number of left-handed golfers. A previous study indicates that the propo

never [62]

Answer:

A sample of 997 is needed.

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 level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

A previous study indicates that the proportion of left-handed golfers is 8%.

This means that $\pi = 0.08$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a p-value of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?

This is n for which M = 0.02. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 2.327\sqrt{\frac{0.08*0.92}{n}}$

$0.02\sqrt{n} = 2.327\sqrt{0.08*0.92}$

$\sqrt{n} = \frac{2.327\sqrt{0.08*0.92}}{0.02}$

$(\sqrt{n})^2 = (\frac{2.327\sqrt{0.08*0.92}}{0.02})^2$

$n = 996.3$

Rounding up:

A sample of 997 is needed.

3 0

3 years ago