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
diamong [38]
2 years ago
7

Please help me with this, urgent! Tysm!

Mathematics
1 answer:
tangare [24]2 years ago
5 0

Check the picture below.

so due to the purple vertical angles, the triangles are similar triangles, so let's use proportions to get AC.

\cfrac{3}{5}~~ = ~~\cfrac{x}{6-x}\implies 18-3x = 5x\implies 18=8x\implies \cfrac{18}{8}=x\implies \boxed{\cfrac{9}{4}=x} \\\\[-0.35em] ~\dotfill\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2 + b^2} \qquad \begin{cases} c=\stackrel{hypotenuse}{y}\\ a=\stackrel{adjacent}{x}\\ b=\stackrel{opposite}{3}\\ \end{cases}

y=\sqrt{x^2+3^2}\implies y=\sqrt{\cfrac{9^2}{4^2}+9}\implies y=\sqrt{\cfrac{81}{16}+9}\implies y=\sqrt{\cfrac{81+144}{16}} \\\\\\ y=\sqrt{\cfrac{225}{16}}\implies y=\sqrt{\cfrac{15^2}{4^2}}\implies y=\cfrac{15}{4}\implies \blacksquare~~ \stackrel{AC}{y}=3\frac{3}{4} ~~\blacksquare

You might be interested in
What is the volume of a sphere that has a diameter of 12
posledela

Answer:

V≈904.78

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A car race lasted 2.07 hours How many seconds did the race last ? If necessary round your answers to the nearest tenth of a seco
Citrus2011 [14]

1244 i the answer because 2.07 * 60 =1244

7 0
3 years ago
Answer the following questions using 125 words or more:
ludmilkaskok [199]

Answer:

given in a triangle rst and another triangle ratOn a coordinate plane, triangle R S T has points (0, 0), (negative 2, 3), (negative 3, 1). Triangle R prime S prime T prime has points (2, ...

9 votes

3 0
3 years ago
Suppose that time spent on hold per call with customer service at a large telecom company is normally distributed with a mean µ
lana66690 [7]

Answer:

0.3108 is the probability that the sample mean is between 7.8 and 8.2 minutes.    

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 8 minutes

Standard Deviation, σ = 2.5 minutes

Sample size, n = 25

We are given that the distribution of  time spent is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling =

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{2.5}{\sqrt{25}} = 0.5

P(sample mean is between 7.8 and 8.2 minutes)

P(7.8 \leq x \leq 8.2)\\\\ = P(\displaystyle\frac{7.8 - 8}{0.5} \leq z \leq \displaystyle\frac{8.2-8}{0.5})\\\\ = P(-0.4 \leq z \leq 0.4})\\\\= P(z < 0.4) - P(z < -0.4)\\\\= 0.6554 -0.3446= 0.3108

0.3108 is the probability that the sample mean is between 7.8 and 8.2 minutes.

4 0
4 years ago
A ________ indicates how far an individual raw score falls from the mean of a distribution; the ________ indicates how the score
I am Lyosha [343]

Answer:

A <u>z-score</u> indicates how far an individual raw score falls from the mean of a distribution; the <u>standard deviation</u> indicates how the scores in general scatter around the mean.

Step-by-step explanation:

We have been given an incomplete statement. We are supposed to complete the given statement.

We know that z-score of a data set indicates that a sample score or raw score is how many standard deviation away from the mean. Z-score indicates the distance of a raw score is above or below mean in units.

Therefore, the correct word for 1st blank would be "z-score".

We also know that standard deviation represents the variation of a data set. It tells that data points of a data set are how much close or away from mean of the data set.

Therefore, the correct word for 2nd blank would be "standard deviation".

5 0
3 years ago
Other questions:
  • Suppose 1/3 of the next 3000 passengers have a frequent flyer account. Remember that you already have 110 passengers with freque
    7·1 answer
  • jo divides a rectangle into parts. each part is 1/4 the area of the whole rectagle. how many parys did ko divide the rectanhle i
    6·2 answers
  • How to find path length difference between parallel lines?
    8·1 answer
  • Please help!!!!!!!!!
    14·1 answer
  • A truck carries apples, grapes, and blackberries in the ratio of 4:3:4. If the apples weigh 160 pounds, how much does the truckl
    14·1 answer
  • Find the value of x in the triangle shown below<br><br> a. √8<br> b. √32<br> c. 32<br> d. 8
    15·2 answers
  • A 90% confidence interval is (35 45). What is the margin of error?
    11·1 answer
  • Mel robbins hdhfjddjhdhd​
    5·2 answers
  • A store stocked 150 cans of popcorn for a weekend sale. That weekend, 94 of the cans sold. What percent of the cans of popcorn s
    5·1 answer
  • In the figure below all lines intersect at point W what is the value of angle VWX?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!