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Deffense [45]
3 years ago
11

For which points in the same quadrant as(2,-10)could Tamara use a number line to find the distance?

Mathematics
1 answer:
VLD [36.1K]3 years ago
4 0

ANSWER

(2,-2)

(10,-10)

(2,-9)

(7,-10)

EXPLANATION

The given point is (2,-10)

This point is in the fourth quadrant.

To be able to use the number line to find the distance between this point , (2,-10) and another point in the fourth quadrant, the second point must have the same x-coordinate with this point or the same y-coordinate with this point.

These points are:

(2,-2)

(10,-10)

(2,-9)

(7,-10)

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How many hours will it take to complete a 76km bike ride if you go bike ride if you go 14km per hour the whole time?
soldi70 [24.7K]

To find the number of hours, divide the total distance by the speed.

Hours = 76 km / 14 km per hour

Hours = 4.529

Round the answer as needed.

8 0
4 years ago
A ticket to a particular theme park regularly costs $84.99, however the theme park is running a spring break special for 15% off
Ilya [14]

Answer: 306.30

Step-by-step explanation:

DiscountPrice = 84.99 - (84.99 x 0.15)

Cost for 4 = discountPrice x 4

Total = cost for 4 x 1.06

5 0
3 years ago
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Please solve and show step by step<br> Best answer get rewarded!
Arisa [49]
B² - 4ac
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= 64 - 72
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6 0
3 years ago
Suppose the horses in a large stable have a mean weight of 1467lbs, and a standard deviation of 93lbs. What is the probability t
krok68 [10]

Answer:

0.5034 = 50.34% probability that the mean weight of the sample of horses would differ from the population mean by less than 9lbs if 49 horses are sampled at random from the stable

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 1467, \sigma = 93, n = 49, s = \frac{93}{\sqrt{49}} = 13.2857

What is the probability that the mean weight of the sample of horses would differ from the population mean by less than 9lbs if 49 horses are sampled at random from the stable?

This is the pvalue of Z when X = 1467 + 9 = 1476 subtracted by the pvalue of Z when X = 1467 - 9 = 1458.

X = 1476

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

By the Central Limit Theorem

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

Z = \frac{1476 - 1467}{13.2857}

Z = 0.68

Z = 0.68 has a pvalue of 0.7517

X = 1458

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

Z = \frac{1458 - 1467}{13.2857}

Z = -0.68

Z = -0.68 has a pvalue of 0.2483

0.7517 - 0.2483 = 0.5034

0.5034 = 50.34% probability that the mean weight of the sample of horses would differ from the population mean by less than 9lbs if 49 horses are sampled at random from the stable

5 0
3 years ago
Which is the graph of linear inequality x + 2y &lt;= 12
denpristay [2]
X+2y=12
X+2y=12-12
X+2y-12=0
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3 years ago
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