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shutvik [7]
2 years ago
15

A fox sees a rabbit 35 feet away and starts chasing it. As soon as the fox starts moving the rabbit sees it and starts running a

way at a speed of 40 feet per second. What should be the fox's speed to catch up to the rabbit in exactly 5 seconds?
Mathematics
1 answer:
Brilliant_brown [7]2 years ago
8 0

Answer:

47 feet per second

Step-by-step explanation:

35+(40X5)=235

235/5=47 feet per second

(47 feet per second is aproximately 32 mph.)

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Word problem for (2t+5)-t=26
SCORPION-xisa [38]

For this case we must pose a verbal problem equivalent to the following expression:

(2t + 5) -t = 26

So, we have:

(2t + 5): The sum of double a number plus five.

We propose the expression:

A number subtracted from the sum of double the same number plus five equals twenty-six.

Answer:

A number subtracted from the sum of double the same number plus five equals twenty-six.

4 0
2 years ago
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Grandpa ernie is shrinking! Over the past 4 years, his hight decressed by a total of 2.4cm. It decresed by the same amount each
dolphi86 [110]

Answer: 0.6 cm

Step-by-step explanation:

Given : Over the past 4 years, Grandpa Ernie's height decreased by a total of 2.4 cm.

If  the height is decreased by the same amount each year.

Then, the change in Grandpa Ernie's height each year will be =

Total decrease in height ÷ 4

= 2.4 cm  ÷  4  = 0.6 cm

Hence, the  change in Grandpa Ernie's height each year = 0.6 cm

4 0
2 years ago
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Without actually writing the formula, explain how to expand (x + 3)7 using the binomial theorem.
Lyrx [107]

To write the coefficients of the 8 terms, either start with a combination of 7 things taken 0 at a time and continue to 7 things taken 7 at a time or use the 7th row of Pascal’s triangle.

For the first term, write x to the 7th power and 3 to the 0 power. Then decrease the power on x and increase the power on y until you reach x to the 0 and y to the 7.

Simplify by evaluating the coefficients and powers 3

Step-by-step explanation:

4 0
2 years ago
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In 1990, the mean duration of long-distance telephone calls originating in one town was 7.2 minutes. A long-distance telephone c
scoundrel [369]

Answer:

We know that In 1990, the mean duration of long-distance telephone calls originating in one town was 7.2 minutes. And we want to test if the mean duration of long-distance phone calls has changed from the 1990 mean of 7.2 minutes (alternative hypothesis) and the complement rule would represent the null hypothesis.

The correct system of hypothesis are:

Null hypothesis: \mu =7.2

Alternative hypothesis: \mu \neq 7.2

So then the best option for this case would be:

H0: μ = 7.2 minutes Ha: μ ≠ 7.2 minutes

Step-by-step explanation:

We know that In 1990, the mean duration of long-distance telephone calls originating in one town was 7.2 minutes. And we want to test if the mean duration of long-distance phone calls has changed from the 1990 mean of 7.2 minutes (alternative hypothesis) and the complement rule would represent the null hypothesis.

The correct system of hypothesis are:

Null hypothesis: \mu =7.2

Alternative hypothesis: \mu \neq 7.2

So then the best option for this case would be:

H0: μ = 7.2 minutes Ha: μ ≠ 7.2 minutes

And in order to test the hypothesis we can use a one sample t test or z test depending if we know the population deviation or not

4 0
2 years ago
In a study of crime, the FBI found that 13.2% of all Americans had been victims of crime during a 1-year period. This result was
Mkey [24]

Answer: The lower bound of confidence interval would be 0.116.

Step-by-step explanation:

Since we have given that

p = 13.2%= 0.132

n = 1105

At 90%  confidence,

z = 1.645

So, Margin of error would be

z\sqrt{\dfrac{p(1-p)}{n}}\\\\=1.645\times \sqrt{\dfrac{0.132\times 0.868}{1152}}}\\\\=0.0164

So, the lower bound of the confidence interval would be

p-\text{margin of error}\\\\=0.132-0.0164\\\\=0.116

Hence, the lower bound of confidence interval would be 0.116.

3 0
2 years ago
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