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Anon25 [30]
3 years ago
13

2. The following formula relates three quantities: Force (F), mass (m), and acceleration (a). F = ma (a) Solve this equation for

a. (b) Let the force be F=minus 25 units and the mass be m = 10 units. What is the acceleration, a? (c) Let the force be F = 25 units and the acceleration be a = 5 units. What is the mass, m? Answer f= -25
will give most all of my brainless
Mathematics
1 answer:
USPshnik [31]3 years ago
8 0

A) To solve F=ma for a, divide both sides by m:

a = F/m

B) -25 = 10a

a = -25 /10

a = -2.5


C) 25 = m5

m = 25/5

m = 5

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A nutrition laboratory wants to construct a 95% confidence interval for the mean sodium content of "reduced sodium" hot dogs. A
tatuchka [14]

Answer:

n > 96

Therefore, the number of samples should be more than 96 for the width of their confidence interval to be no more than 10mg

Step-by-step explanation:

Given;

Standard deviation r= 25mg

Width of confidence interval w= 10mg

Confidence interval of 95%

Margin of error E = w/2 = 10mg/2 = 5mg

Z at 95% = 1.96

Margin of error E = Z(r/√n)

n = (Z×r/E)^2

n = (1.96 × 25/5)^2

n = (9.8)^2

n = 96.04

n > 96

Therefore, the number of samples should be more than 96 for the width of their confidence interval to be no more than 10mg

6 0
3 years ago
Several years​ ago, 50​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students r
galina1969 [7]

Answer:

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that​ parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

We have to see if 50% = 0.5 is part of the confidence interval.

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 zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 1095, \pi = \frac{478}{1095} = 0.4365

95% confidence level

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The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 - 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4118

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 + 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4612

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that​ parents' attitudes toward the quality of education have changed.

5 0
2 years ago
Write an expression to represent the perimeter of:<br> 2a-3<br> 2a<br> 3a+1
Marina86 [1]
I am assuming this is a triangle.....P = a + b + c

P = 2a - 3 + 2a + 3a + 1....combine like terms
P = 7a - 2 <==
5 0
3 years ago
HELP ASAP!! What is the average rate of change between x = -3 and x = 4 for the equation y = 8x2?
Llana [10]

Answer:

x=-3\\y=8(-3)^2\\y=8(9)\\y=72

x=4\\y=8(4)^2\\y=8(16)\\y=128

128-72=56

average rate of change is 56

Step-by-step explanation:

Plz let me know if im right

3 0
2 years ago
Can ya'll help me? tehee :)
monitta
128
328
437
837
Hope it helped
3 0
3 years ago
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