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Helen [10]
3 years ago
5

What is the distance between the points 4 and -5 on a number line?

Mathematics
1 answer:
Ket [755]3 years ago
6 0

Answer:

9

4--3--2--1--0--1--2--3--4--5

Positive        Negative

Step-by-step explanation:

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(a^2-4)(9-b^2)+24ab
Sholpan [36]
<span> -a2b2 + 9a2 + 24ab + 4b2 - 36 </span><span>hope it helps

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3 years ago
Mina uses 128 pounds of dog food to feed her 16 dogs. find the unit rate per dog
MAXImum [283]

The unit rate is 8 pounds per dog.

128 / 16 = 8

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4 years ago
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What is the value of g(−3) when g(x)=2x−2 ?
nikdorinn [45]
For these types of problems, plug the value inside the ( ) into the (x) of the equation.
g (-3), g (x) = 2x-2
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3 years ago
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What is the equation of this line in slope-intercept form (-1,5) and (1,-3)?
Harrizon [31]
Slope intercept means
y=mx+c
the slope of the line is m=(y2-y1)/(x2-x1)=(-3-5)/(1+1)= -4
the equation of the line is
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4x+y-1=0
changing the equation into slope intercept form
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4 0
3 years ago
It is important that face masks used by firefighters be able to withstand high temperatures because firefighters commonly work i
USPshnik [31]

Answer:

The 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574). This means that we are 93% sure that the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574).

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

For this problem, we have that:

n = 55, \pi = \frac{24}{55} = 0.4364

93% confidence level

So \alpha = 0.07, z is the value of Z that has a pvalue of 1 - \frac{0.07}{2} = 0.965, so Z = 1.81.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4364 - 1.81\sqrt{\frac{0.4364*0.5636}{55}} = 0.3154

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4364 + 1.81\sqrt{\frac{0.4364*0.5636}{55}} = 0.5574

The 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574). This means that we are 93% sure that the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574).

8 0
3 years ago
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