1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
garri49 [273]
3 years ago
10

21. Find the distance between the points. Leave your answer

Mathematics
1 answer:
asambeis [7]3 years ago
4 0

Answer:

The answer is

\sqrt{65}  \:  \:  \: units

Step-by-step explanation:

To find the distance between two points we use the formula

\sqrt{ ({x1 - x2})^{2}  + ( {y1 - y2})^{2} }

where

( x1 , y1) and ( x2 , y2) are the points

From the question the points were

(-8,5), (-1.1)

Substitute the values into the above formula

That's

\sqrt{ ({ - 8 + 1})^{2}  + ({5 - 1})^{2}  }

\sqrt{ ({  - 7})^{2} +  {4}^{2}  }

\sqrt{49 + 16}

We have the final answer as

\sqrt{65}  \:  \: units

Hope this helps you

You might be interested in
together Alice & Mindy have saved $490 for a trip this summer. Amy has saved $54 more than Mindy. How much has each person s
Rus_ich [418]

Answer:

Alice saved 218 and mindy saved 218+54

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The amount of coffee that a filling machine puts into an 8-ounce jar is normally distributed with a mean of 8.2 ounces and a sta
nordsb [41]

Answer:

73.30% probability that the sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a random sample of 100 jars will be at most 0.02 ounce

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 = 8.2, \sigma = 0.18, n = 100, s = \frac{0.18}{\sqrt{100}} = 0.018

What is the probability that the sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a random sample of 100 jars will be at most 0.02 ounce?

This is the pvalue of Z when X = 8.2 + 0.02 = 8.22 subtracted by the pvalue of Z when X = 8.2 - 0.02 = 8.18. So

X = 8.22

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

By the Central Limit Theorem

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

Z = \frac{8.22 - 8.2}{0.018}

Z = 1.11

Z = 1.11 has a pvalue of 0.8665

X = 8.18

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

Z = \frac{8.18 - 8.2}{0.018}

Z = -1.11

Z = -1.11 has a pvalue of 0.1335

0.8665 - 0.1335 = 0.7330

73.30% probability that the sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a random sample of 100 jars will be at most 0.02 ounce

8 0
3 years ago
How do you write 13/25 as a percentage
mariarad [96]
The fraction 13/25 is equivalent to 52 percent.
To workout this, divide the numerator by the denominator, sum this value to the integer part and multiply the result by 100%, so:
13/25 in percent = 13 ÷ 25 × 100% = 0.52 × 100% =  52%
8 0
3 years ago
Read 2 more answers
— 3х – 19 &lt;-18<br> What is x
kondaur [170]

Answer:

x>-1/3

Step-by-step explanation:

−3x<−18+19

−3x<1

x>− 1/3

6 0
3 years ago
Isolate for r, d = 2r
e-lub [12.9K]

Answer:

D/2=r

Step-by-step explanation:

Since we want r to be by itself what we can do is divide 2 on both sides so 2 can cancel out on 2r and when you divide on both sides your left with d/2=r

5 0
3 years ago
Other questions:
  • (01.02 MC)The number line shows the distance in meters of two divers, A and B, from a shipwreck located at point X:
    9·1 answer
  • The radius of a circle is 8. What’s its area in terms of pi
    10·2 answers
  • PLEASE PLEASE PLEASE HELP ME!!!!! PLEASE PLEASE ILL GIVE POINTS, BRAINLY, AND THANKS
    14·1 answer
  • Sin 300° = 2 sin 150° cos 150° use exact values to show it is true​
    14·1 answer
  • Yesterday the Bandits scored 56 points in their basketball game. Today they scored 42 points. What is the percent decrease of Th
    5·1 answer
  • Given triangle STU equal to KLM complete each of the following statements TU= KM= LK=
    7·2 answers
  • Find the 100th term in the number pattern described by "Start at 13 and add 2 each time."
    12·2 answers
  • Does anyone knows how to solve thiss???
    10·1 answer
  • -5(6x - 2) + 4.<br> Plsss help!
    15·2 answers
  • Provide me three coordinate points for the following, given the Slope and Y-intercept. 5. Slope = 7/9, Y intercept = 12(give me
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!