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Pavlova-9 [17]
3 years ago
8

Once a week you babysit your neighbor’s toddler after school, usually going to a local playground. You notice that each swing on

the swing set takes about the same amount of time, about 2.2 seconds. Use the pendulum formula below to find out how long the swing is. Round your answer to the tenths place. (equation and answers attached)
a) 10 ft
b) 25 ft
c) 6 ft
d) 3.9 ft

Mathematics
2 answers:
Dmitry_Shevchenko [17]3 years ago
6 0

Answer:

3.9

Step-by-step explanation:

APEX

OlgaM077 [116]3 years ago
4 0
So to answer this, let us plug in the given values to the given formula.
T = 2π√<span>L/32
2.2 = 2</span>π√L/32 <<divide both sides by 2π or 6.28
2.2/2π = √L/32 << square both sides
(2.2/2π)^2 = L/32 << next multiply both sides by 32 and we get
32 (2.2/2π ) = L
So the final answer would be L = <span>3.923156... or to round it off, it would be 
L = 3.9
So the correct answer would be option D. 3.9 feet. Hope this is the answer that you are looking for.</span>
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A line crosses the coordinates (-3,5) and (4,-2). What is the slope of the line?
ICE Princess25 [194]

Answer:

Slope = -1

Step-by-step explanation:

\frac{-2-5}{4-(-3)}=\frac{-7}{7} =-1

8 0
3 years ago
What is the interval notation for the compound inequality? x≤−5 or x&gt;4
Hoochie [10]

Answer:

(-\infty, -5] \cup (4,\infty)

Step-by-step explanation:

The symbol \cup is set notation for UNION--put two sets together into one set.

The first part of the interval notation describes x less than or equal to -5 -- notice the bracket symbol after -5, meaning include -5.

5 0
2 years ago
write an expression for the new balance using as few terms as possible. A checking account has a balance of -$126.89. A customer
Nutka1998 [239]

Answer:

New balance = -151.89 + 4.5x

(where x is the value of the smaller deposit)

Step-by-step explanation:

The inicial balance was -126.89.

Then, it were made two deposits, one with the value of x, and one that is 3 1/2 times the other, that is, 3.5x.

Then, the customer made a withdraw of $25.

So, The new balance can be calculated as:

New balance = inicial balance + x + 3.5x - 25

New balance = -126.89 + 4.5x - 25

New balance = -151.89 + 4.5x

8 0
3 years ago
Of the 125 guests invited to a wedding, 100 attended the wedding. What percent of the invited guests attended the wedding?
RSB [31]
100/125 * 100 = 80 % (80 percent)
6 0
2 years ago
Using traditional methods it takes 92 hours to receive an advanced flying license. A new training technique using Computer Aided
DanielleElmas [232]

Answer:

The value of the test statistic is z = 1.39.

The p-value of the test is 0.0823 > 0.05, which means that there is not evidence at the 0.05 level that the technique lengthens the training time.

Step-by-step explanation:

Using traditional methods it takes 92 hours to receive an advanced flying license.

This means that at the null hypothesis, it is tested if the mean is of 92, that is:

H_0: \mu = 92

Test if there is evidence that the technique lengthens the training time

At the alternative hypothesis, it is tested if the mean is more than 92, that is:

H_1: \mu > 92

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

92 is tested at the null hypothesis:

This means that \mu = 92

A researcher used the technique on 70 students and observed that they had a mean of 93 hours. Assume the population variance is known to be 36.

This means that n = 70, X = 93, \sigma = \sqrt{36} = 6

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{93 - 92}{\frac{6}{\sqrt{70}}}

z = 1.39

The value of the test statistic is z = 1.39.

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 93, which is 1 subtracted by the p-value of z = 1.39.

Looking at the z-table, z = 1.39 has a p-value of 0.9177.

1 - 0.9177 = 0.0823.

The p-value of the test is 0.0823 > 0.05, which means that there is not evidence at the 0.05 level that the technique lengthens the training time.

8 0
2 years ago
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