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Gre4nikov [31]
3 years ago
10

A race car driving under the caution flag at 40 feet per second begins to accelerate at a constant rate after

Mathematics
1 answer:
vitfil [10]3 years ago
7 0
Chelsea vs. Atlético Madrid, Champions League: Confirmed lineups; how to watch
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81 to the power of 3/2
ruslelena [56]
Answer: 265720.5
.
.
.
(81^3) / 2 = 265720.5
4 0
3 years ago
The resting heart rates for 80 women aged 46–55 in a simple random sample are normally distributed, with a mean of 71 beats per
My name is Ann [436]
Given:
Confidence level = 90%
mean = 71 beats per minute
standard deviation = 6 beats per minute

margin of error = z * δ / √n

where : δ - population of the standard deviation, n is the sample size ; z is the appropriate z value.

90% confidence level = 1.645 in z-value

margin of error = 1.645 * (6/√80) = 1.645 * (6/8.94) = 1.645 *  0.671 = 1.104

The margin of error is 1.10
6 0
3 years ago
Read 2 more answers
A rectangle has vertices W(2,3), X(2,6), Y(7,6), and Z(7,3).
KiRa [710]

Answer:

Step-by-step explanation:

A rectangle has 4 sides.

2 of them are lengths and 3 of them are widths.

We can simply use coordinate geometry (without graphing) to find side lengths of the rectangle. We will use Distance Formula.

We can find all the 4 lengths by using Distance Formula from points:

W and X

X and Y

Y and Z

W and Z

Note, that we don't need to find all 4 of them individually, because 2 are lengths (same) and 2 are widths (same). Thus we can find

Distance of WX, which would be same as distance of YZ

also

Distance of XY which would be same as distance of WZ

<em><u>Note:</u></em> Distance Formula is  D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}  where D is the distance, x_1, y_1 is the first coordinate points and x_2,y_2 is the second coordinate points

4 0
4 years ago
The wildflowers at a national park have been decreasing in numbers. There were 1200 wildflowers in the first year that the park
Andreas93 [3]

Answer:

Step-by-step explanation:

We have total 1200 wildflowers in first year that is first term a  is 1200

We have to find sigma notation  showing the infinite growth of the wildflowers.

wildflowers=\sum_{i=1}^{\infty }1200(\frac{1}{4})^{i-1}

Formula for infinite sum of GP is S_{\infty}=\frac{a}{1-r}

Here, a=1200,r=\frac{1}{4}

On substituting the values in the formula of sum we get:

S_{\infty}=\frac{1200}{1-\frac{1}{4}}

On simplification we get:

S_{\infty}=\frac{1200}{\frac{3}{4}}=1600

Therefore, total sum of wildflowers 1600.

5 0
3 years ago
Read 2 more answers
Solve by factoring.<br><br> m^2+6m+5=0
alina1380 [7]

Answer:

<u>-1 and -5</u>

Step-by-step explanation:

m^2 + 6m + 5 = 0 is factored to: (m + 1)(m + 5) = 0.

The zero product property states that one of the represented parenthesis must equal zero to satisfy the right side of the equation.

(m + 1) = 0

(-1 + 1) = 0

This means that one of the values for m is -1.

(m + 5) = 0

(-5 + 5) = 0

This means that one of the values for m is -5.

<u>Moreover, the value of m by factoring is -1 and -5</u>

3 0
3 years ago
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