Answer:
m∠R = 60°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Identify
Angle θ = ∠R
Opposite Leg of ∠R = 10√3
Hypotenuse = 20
Step 2: Solve
Substitute in variables [sine]: [tex]\displaystyle sin(R^\circ) = \frac{10\sqrt{3}}{20}[/tex][Equality Property] Trig inverse: [tex]\displaystyle R^\circ = sin^{-1}(\frac{10\sqrt{3}}{20})[/tex]Evaluate trig: [tex]\displaystyle R = 60^\circ[/tex]Help please hurry it not a test but hurry no links, please
Answer:
33 1/3%
Step-by-step explanation:
The percentage change is ...
difference/base × 100% = (120000 -90000)/90000 × 100%
= 1/3 × 100% = 33 1/3%
Roger expressed 1/5%
as 1/500. Ellen expressed 1/5% as 100/5. Who is
correct? Explain.
Answer:
Ellen is correct
Step-by-step explanation:
Roger:
The left side 20 does not equal to the right side 0.002 , which means that the given statement is false.
Ellen:
The left side 20 is equal to the right side 20, which means that the given statement is always true.
Hope I helped, Brainliest would be appreciated :)
Have a fantastic day!
-Aadi x
Is -12 greater than -5
Answer:
No. it's less than. The bigger the negative number is, the lesser it is.
Sarah invested $2,500 in an account paying an interest rate of 2.1% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 14 years?
Answer:
sorry 2458946547165874%
Step-by-step explanation:
What is the image of the point (2,8) after a rotation of 270° counterclockwise about
the origin?
Answer:
(8,-2)
Step-by-step explanation:
270 counterclockwise is the same as 90 clockwise. Rotate on a graph.
find the surface area of thw figure below.
A. 261 cm
B. 270 cm
C. 441 cm
D. 810 cm
Step-by-step explanation:
Area = 1/2 x b x h
= 1/2 x 9 x 10
= 45 cm ^2
As it has 6 faces, we multiply the area by 6
45 x 6 = 270 cm^2
What is 5+5+5+5+5+5+5+5+5+5+5+5+5
Answer:
65
Step-by-step explanation:
13x5 = 65
Answer:
The answer is 65 lol
Step-by-step explanation:
Hopefully this helps
addie spent 4.32 on 6 cherry-flavored popsicles. find the unit rate
Answer:
$0.72
Step-by-step explanation:
4.32 dollars per 6 popsicles.
4.32 / 6 = 0.72 per popsicle.
HELP PLEASE
LOTS OF POINTS
EASY POINTS
JUST ANSWER
THXX <3
Answer:
180°
Step-by-step explanation:
You can rotate the equilateral triangle 180° to match the original orientation.
Suppose that 20% of the residents in a certain state support an increase in the property tax. An opinion poll will randomly sample 400 state residents and will then compute the proportion in the sample that support a property tax increase. How likely is the resulting sample proportion to be within .04 of the true proportion (i.e., between .16 and .24)
Answer:
0.9544 = 95.44% probability of the resulting sample proportion being within .04 of the true proportion
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 normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
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 p-value, 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 [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
20% of the residents in a certain state support an increase in the property tax. Sample of 400.
This means that [tex]p = 0.2, n = 400[/tex]
Mean and standard deviation:
Mean [tex]\mu = p = 0.2[/tex]
Standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.2*0.8}{400}} = 0.02[/tex]
How likely is the resulting sample proportion to be within .04 of the true proportion (i.e., between .16 and .24)?
This is the pvalue of Z when X = 0.24 subtracted by the pvalue of Z when X = 0.16. So
X = 0.24
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.24 - 0.2}{0.02}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
X = 0.16
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.16 - 0.2}{0.02}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
0.9772 - 0.0228 = 0.9544
0.9544 = 95.44% probability of the resulting sample proportion being within .04 of the true proportion
21 ≤ 2x + 3 =
How do you work this out? And what is the answer? :)
Answer:
9
Step-by-step explanation:
21≤2x+321-3≤2x18≤2xdivide both side by 2therefore the answerx≥9Sarah and Nathan each picked a bucket of strawberries. Sarah picked 4 pounds, and Nathan picked 3 pounds. How much more did Sarah pick than Nathan?
1 pounds
2 pounds
pound
1 pound
Answer:1 pound
Step-by-step explanation:
Directly you see from Qestion Sarah picked 4 pounds and Nathan 3...for difference 4-3=1
Answer:
A: 1 pound
Step-by-step explanation:
4lbs -- 3lbs = 1lbs
What is the measure of the unknown angle?
Answer:
24
Step-by-step explanation:
x+120+36=180
x+156=180
x=180-156
x=24
find the slope
!!HELP QUICKLY PLEASE!!
A clothing business finds there is a linear relationship between the number of shirts, n (in thousands) it can sell and the price, P, it can charge per shirt. In particular, historical data shows that 3 thousand shirts can be sold at a price of $69 each, and that 7 thousand shirts can be sold at a price of $61 each. Find the equation of the form P(n)
Answer:
The equation of the form P(n) is:
P(n)=-0.002n+75
Step-by-step explanation:
From the information provided, you have two points: (3000, 69) and (7000, 61). With this, you can find the slope using the following formula:
m=(p1-p2)/(n1-n2)
m=slope
p1=69
p2=61
n1=3000
n2=7000
m=(69-61)/(3000-7000)
m=8/-4000
m=-0.002
Now that you have the slope, you can find the the equation of the form P(n):
P(n)=-0.002(n-3000)+69
P(n)=-0.002n+6+69
P(n)=-0.002n+75
According to this, the answer is that the equation of the form P(n) is:
P(n)=-0.002n+75
6. A hypothesis test in which rejection of the null hypothesis occurs for values of the point estimator in either tail of the sampling distribution is called _______ Group of answer choices A one-tailed test A two-tailed test The null hypothesis The alternative hypothesis g
Answer:
A two-tailed test.
Step-by-step explanation:
ANOVA is a short term or an acronym for analysis of variance which was developed by the notable statistician Ronald Fisher. The analysis of variance (ANOVA) is typically a collection of statistical models with their respective estimation procedures used for the analysis of the difference between the group of means found in a sample. Simply stated, ANOVA helps to ensure we have a balanced data by splitting the observed variability of a data set into random and systematic factors.
In Statistics, the random factors doesn't have any significant impact on the data set but the systematic factors does have an influence.
Basically, the analysis of variance (ANOVA) procedure is typically used as a statistical tool to determine whether or not the mean of two or more populations are equal through the use of null hypothesis or a F-test.
Hence, the null hypothesis for an analysis of variance (ANOVA) requires that all treatments or samples should be generated from populations having the same mean.
A hypothesis test in which rejection of the null hypothesis occurs for values of the point estimator in either tail of the sampling distribution is called a two-tailed test.
PLEASE PLEASE HELP!! A ferris wheel with a radius of 38 feet rotates at a rate of 8 revolutions per minute. The height above the ground of the carriage labeled C below is a function of time, t, in minutes
I am having a baby day so if you write something wrong I’m reporting you
Answer:
804.25 or based on the choices 803.8
Step-by-step explanation:
Answer:
804.25
Step-by-step explanation:
so the closest thing to that is 803.8
Phil has completed 1/4 of his shift; Darren has completed 3/7 of his shift; Alice has finished 1/8 of her shift; Lisa has 1/5 of her shift remaining. Out of the four employees, who has completed the least work time?
Answer:
Out of the four employees, Alice is the one who has completed the least work time, since she only completed 12.5% of it.
Step-by-step explanation:
Since Phil has completed 1/4 of his shift; Darren has completed 3/7 of his shift; Alice has finished 1/8 of her shift of her; and Lisa has 1/5 of her shift remaining, to determine, out of the four employees, who has completed the least work time, the following calculation must be performed:
Phil: 4 - 1/4 = 3/4 = 0.75
Darren: 7 - 3/7 = 4/7 = 0.57
Alice: 8 - 1/8 = 7/8 = 0.875
Smooth: 5 - 1/5 = 4/5 = 0.8
Thus, of the four employees, Alice is the one who has completed the least work time, since she only completed 12.5% of it.
Can somebody help me plsssss
5,0 is not a solution to the system of linear inequalities.
(help?)
Look at the model.
Which of the following statements of equality is true? [png]
Answer:
H
Step-by-step explanation:
Answer:
H
Step-by-step explanation:
3 times 2 and x in each row
which equals to 6 and 3x
2:14 = 1:
What is the equivalent ratio?
Sonya paid $4.39 for a hero. She paid $0.95 for an orange and $1.67 for a drink. What is the total amount Sonya paid for all three items?
there are 16 sixth graders, 11 seventh graders, and 9 eighth graders in a gym class. the gym teacher randomly selects one student to collect balls how many ways can choosing not a seventh grader occur
Answer:
34 total students.
25 are not 7th graders
27/35
please help me please
Answer: 7 texts 1 dollar, 5 texts 35 dollars
Step-by-step explanation:
if you have 49 is divisible by 7, and when you divide 49 by 7 you get 7. so 1 dollar you get 7 dollars. how do you get from 1 to five multiply 5, now multiply 7 by five to see how many texts you get for 5 dollars. im really not good at explaining i hope you get it though!!
Need help on this math ASAP I will give the brainiest to the person who answers this correctly! Do the ones that are circled in red please. (67 points to the person who answers this)
The solution is, 0.39 = 39% of probability.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
When you need to calculate probabilities involving "or" questions, in general you should use the following formula: , where P(A) is the probability of event A and P(B) is the probability of event B.
In the problem given, P(A) = yes and P(B) = male, then:
P(yes) = 33/100
= 0.33
P(male) = 20/100
= 0.20 (all male that answered the question)
P(yes and male)
= 14/100
= 0.14 (all male that answered yes to the question)
P(yes or male) = P(yes) + P(male) - P(yes and male)
= 0.33+0.20-0.14
= 0.39
=39%
Hence, The solution is, 0.39 = 39% of probability.
To learn more on probability click:
brainly.com/question/11234923
#SPJ3
Complete question:
One hundred people were asked, "Do you favor the death penalty?" Of the 33 that answered "yes" to the question, 14 were male. Of the 67 that answered "no" to the question, six were male. If one person is selected at random, what is the probability that this person answered "yes" or was a male?
Zoom in for a better look BUT HELP PLS ITS MY FINALS! I RLLY NEED HELP
Answer:
C.
Step-by-step explanation:
The word biodiversity means the variety of life and in this case, bats
Ecosystem 1 has the most variety bc it has the most number of different varieties of bats observed
hope this helps <3
Caleb has a board that measures 10 feet in length. How many 1/3 foot-long pieces can Caleb from the board?
13. In the given circle, AB = 13 m, BC = 6 m, and CD = 8 m. If DE = x, find the value
of x. (The figure is not drawn to scale.)
E
x
A
B
A. 13.25 m
B. 9.75 m
C. 6.25 m
D. 14.25 m
do you know what the answer was?
please help right now
Step-by-step explanation:
[tex] \sqrt{26} is \: between 5.0and5.1[/tex]