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posledela
2 years ago
14

On one of the Tigers’ plays, Terrence thought they went for +3 yards, but his father told him they actually lost three yards. Wh

at should the scoreboard show?
Mathematics
1 answer:
stealth61 [152]2 years ago
3 0

−1

Explanation:

Let's say the set of downs starts at the 20 yard line (maybe the kicking team kicked deep, the receiving team took a knee and so play starts at the 20).

Ok - we're at the 20. First down - they advance 5 yards. So we're now at the 25. We can write that mathematically as:

20 + 5= 25

So the second play they get sacked deep and lose 6 yards. So we subtract 6:

25 − 6=19

So what's the change in yardage for the 2 plays? We are on the 19 and started at the 20, so we can write:

19 − 20= −1

and this makes sense because we know we advanced 5 and fell back 6:

+5 −6 = −1

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The arc of the parabola y = x^2 from (3,9) to (4,16) is rotated about the y-axis. Find the area of the resulting surface. Please
Hitman42 [59]

Answer:

156.5

Step-by-step explanation:

Thinking process:

The area can be calculated using the formula:

S = \int\limits^4_3 {2\pi x\sqrt{1+}(2x)^{2} } \, dx

We let the substitution take place.

Therefore, we let u = 1 + 4x^{2}

Thus, du = 8dx.

So,

xdx = \frac{1}{8}du

Also, the interval of the integration changes to [ 37, 65]

Thus,

S = \int\limits^4_3 {2\pi \sqrt{1+4x^{2} } } \, dx \\= \int\limits^65_35 {2\pi \sqrt{\frac{1}{8}u } } \, dx

= \frac{1}{6} [ 65^{\frac{3}{2}-37^{\frac{3}{2} }  }

= 156.5 units²

8 0
3 years ago
Use a calculator to find each answer. Round to the nearest tenth.
Harrizon [31]
7623, 27.8, 76.9, and 8401 it is really simple just use a calculator........
5 0
3 years ago
0.05 is 1/10 the value of what
Dafna1 [17]

Answer:

0.05

Explanation:

Let x = the number

.05 = .1x

5/100 = (1/10)x       Multiply both sides by 10.

5/10 = x

1/2 = x

8 0
3 years ago
Help please I don’t understand this question!!!
icang [17]
To find the mean add up all the numbers and divide. The mean absolute deviation is the difference.
3 0
3 years ago
The length of time a person takes to decide which shoes to purchase is normally distributed with a mean of 8.21 minutes and a st
madam [21]

Answer:

4.55% probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.

Since Z > -2 and Z < 2, this outcome is not considered unusual.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If Z \leq 2 or Z \geq 2, the outcome X is considered to be unusual.

In this question:

\mu = 8.21, \sigma = 1.9

Find the probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.

This is the pvalue of Z when X = 5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{5 - 8.21}{1.9}

Z = -1.69

Z = -1.69 has a pvalue of 0.0455.

4.55% probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.

Since Z > -2 and Z < 2, this outcome is not considered unusual.

8 0
3 years ago
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