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
Paladinen [302]
3 years ago
12

In ΔKLM, the measure of ∠M=90°, LK = 97, ML = 65, and KM = 72. What is the value of the sine of ∠L to the nearest hundredth?

Mathematics
1 answer:
Sphinxa [80]3 years ago
6 0

Answer:

0.74

Step-by-step explanation:

72/97 is 0.74 rounded to the nearest hundredths.

You might be interested in
Given 2 points (-2,6) and (5,-8) what is the slope, distance, and midpoint
Anastasy [175]
(-2,6) (5,-8)

slope = (y2 - y1) / (x2 - x1)
slope = (-8 - 6) / (5 - (-2) = -14/7 = -2 <==

midpoint = (x1 + x2)/2 , (y1 + y2)/2
m = (-2 + 5)/2 , (6 - 8)/2
m = (3/2, -1) <===

distance = sqrt ((x2 - x1)^2 + (y2 - y1)^2)
d = sqrt ((5 - (-2)^2 + (-8 - 6)^2)
d = sqrt ((5 + 2)^2 + (-14^2))
d = sqrt (7^2 + 14^2)
d = sqrt (49 + 196)
d = sqrt 245
d = 15.65 <==
5 0
3 years ago
120% of what number is 48
postnew [5]

Answer:

40

120 percent (calculated percentage %) of what number equals 48? Answer: 40.

8 0
3 years ago
A 2003 study of dreaming found that out of a random sample of 106 ​people, 80 reported dreaming in color.​ However, the rate of
Vlad [161]

Answer:

Step-by-step explanation:

Hello!

You have the following experiment, a random sample of 106 people was made and they were asked if they dreamed in color. 80 persons of the sample reported dreaming in color.

The historical data from the 1940s informs that the population proportion of people that dreams in color is 0.21(usually when historical data is given unless said otherwise, is considered population information)

Your study variable is a discrete variable, you can define as:

X: Amount of people that reported dreaming in colors in a sample of 106.

Binomial criteria:

1. The number of observation of the trial is fixed (In this case n = 106)

2. Each observation in the trial is independent, this means that none of the trials will have an effect on the probability of the next trial (In this case, the fact that one person dreams in color doesn't affect or modify the probability of the next one dreaming in color)

3. The probability of success in the same from one trial to another (Or success is dreaming in color and the probability is 0.21)

So X~Bi(n;ρ)

In order to be able to run a proportion Z-test you have to apply the Central Limit Theorem to approximate the distribution of the sample proportion to normal:

^ρ ≈ N(ρ; (ρ(1-ρ))/n)

With this approximation, you can use the Z-test to run the hypothesis.

Now what the investigators want to know is if the proportion of people that dreams in color has change since the 1940s, so the hypothesis is:

H₀: ρ = 0.21

H₁: ρ ≠ 0.21

α: 0.10

The test is two-tailed,

Left critical value: Z_{\alpha/2} = Z_{0.95} = -1.64

Right critical value: Z_{1-\alpha /2} = Z_{0.95} = 1.64

If the calculated Z-value ≤ -1.64 or ≥ 1.64, the decision is to reject the null hypothesis.

If -1.64 < Z-value < 1.64, then you do not reject the null hypothesis.

The sample proportion is ^ρ= x/n = 80/106 = 0.75

Z= <u>     0.75 - 0.21    </u> = 12.83

    √[(0.75*0.25)/106]

⇒Decision: Reject the null hypothesis.

p-value < 0.00001 is less than 0.10

If you were to conduct a one-tailed upper test (H₀: ρ = 0.21 vs H₁: ρ > 0.21) with the information of this sample, at the same level 10%, the critical value would be Z_{0.90}1.28 against the 12.83 from the Z-value, the decision would be to reject the null hypothesis (meaning that the proportion of people that dreams in colors has increased.)

I hope this helps!

4 0
3 years ago
The probability that a 25-year-old female in the U.S. will die within one year is about 0.000514. An insurance company is prepar
zhannawk [14.2K]

Answer:

Step-by-step explanation:

Expected payment= 0.000514*55000= 28.27

which would round to 29

6 0
3 years ago
The graphs below have the same shape. What is the equation of the blue<br> graph?
Harlamova29_29 [7]

Answer:

for this graph the answer is D

7 0
3 years ago
Other questions:
  • Jude has seven times as many dimes as nickels their value is $5.25 how many nickels does he have.
    12·2 answers
  • What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?
    12·1 answer
  • Point Q is the image of Q (-5,1) under a translation by 6 units to the right and 2 units down
    14·1 answer
  • For a recent​ year, the following are the numbers of homicides that occurred each month in New York​ City: 38,​ 30, 46,​ 40, 46,
    9·1 answer
  • An ice cream shop sold 48 vanilla milkshakes in a day , which was 40% of the total number of milkshakes sold that day. What was
    10·1 answer
  • Please help solve<br> |-6y+3|=4|y-2|
    12·1 answer
  • Find the product of (4x + 3y)2.
    8·2 answers
  • What is an equation of a line with the given slope and y-intercept.<br><br> m = 2, b = 6
    14·1 answer
  • Jeff and Tim spent $4.59 on<br>gumballs. How many pounds did<br>they buy? Gumballs $ .51 per pound​
    15·1 answer
  • What is the distributive property for 72 +12
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!