Answer:
17.2 in
Step-by-step explanation:
The formula for arc length is s = rФ. Here we are to find r. Solving this formula for r, we get:
r = s/Ф
So, in this problem, r = (9 in) / (π/6) = 54/π in ≈ 17.2 in
a^2 - 2ab^2 if a = 9 and b = 3
Write an equation for a line perpendicular to y=4x+1 and passing through the point (12,-7).
y =
Answer:
Step-by-step explanation:
y = 4x + 1
Slope of line = 4
Slope of perpendicular to line = -¼
Point-slope equation for line of slope -¼ that passes through (12, -7):
y+7= -¼(x-12)
helpppp meet please
Answer:
I think it’s 18
Answer:
18
Step-by-step explanation:
the larger triangle is just a bigger version of the smaller one, and the equal sides show us that it is scaled up to be doubled in size, therefore 9x2=18
Choose all that apply!! i’ll give a brainly!!
Step-by-step explanation:
The answer is A
PLEASE FOLLOW ME
Confusing to me please help......
Hi there!
[tex]\large\boxed{3 \text{ boxes}}[/tex]
Calculate the number of boxes of cubes needed by calculating the volume of the pictured figure.
We can see that it has a width of 4 blocks, depth of 2 blocks, and a height of 8 blocks.
Calculate volume: V = l × w × h
V = 4 × 2 × 8 = 64 cubes in each box.
Since she needs 140 cubes, we can find how many boxes she would need for this amount:
140 ÷ 64 = 2.1875.
However, you cannot buy a part of a box, which is why you must round to a whole number. However, only buying 2 boxes would be too little.
Thus, she would need to buy 3 boxes.
Which statement correctly compares the spreads of the distribution
Answer:
From what I remember A is the answer but im not sure.
Answer:b
Step-by-step explanation:t
(05.01 MC)
What is the equation in point-slope form of the line passing through (-2, 0) and (2,8)?
18(3x+1)+3 ; x=2 evaluate the expression for the given value of the variable.
Answer:
Not sure but I think the answer is 129
Step-by-step explanation:
first, substitute the value of x in the expression like this
18(3*2+1)+3
after substituting, our work has made easier
18(6+1)+3
18(7)+3 or simply 18*7+3
126+3
129
m∠1=119∘ and m∠2=61∘.
What is m∠3?
Answer:
m∠3 = 119°
Step-by-step explanation:
All the angles must equal 360° when added together. You have two known angles that are right next to each other. If you add m∠1 and m∠2, 119 + 61, it is equal to 180°. This means that m∠3 and m∠4 must be equal to 180° as well and since there are only two lines, it is safe to assume that opposing angles are the same so m∠1 = m∠3 and m∠2 = m∠4.
Answer:
K12 answer
Step-by-step explanation:
Helppppppppppp AND NO LINKS
Can you simplify five and 26/24
Answer:
6 and 1/2
Step-by-step explanation:
Part B Walden poses the same question (How many people live in your home, including yourself?) to each person in the house next to his. Based on their responses, he wrote this data set: 5, 5, 5, 5, 5. Question 1 What is the center of this data set?
PLZ answer the question
Answer:
The answer is 5
Step-by-step explanation:
get to the middle of the 5's and that's your answer =>=
Answer:
The answer is 5
Step-by-step explanation:
40 points! Please help me
Answer:
x = 8
y = 14
Step-by-step explanation:
2x + 6 = 4x - 10 (Corresponding angles so they're equal)
2x - 4x = -10 - 6
-2x = -16
x = 8
2x + 6 + 13y - 24 = 180 (Supplementary angles so they add up to 180)
2(8) + 6 + 13y - 24 = 180
16 + 6 + 13y - 24 = 180
13y - 2 = 180
13y = 182
y = 14
Answer:
2x+6=4x-10[corresponding angle]
16=2x
x=8
again
2×8+6+13y-24=180°[linear pair]
13y=180+2
y=182/13
y=14
f(x) = V22
g(x) = V322
Find (f .g)(x). Assume x2 0.
O A. (f.g)(x) = 8x
B. (f.g)(x) = 8VC
O c. (f.g)(x) = 32x
D. (f.g)(x) = V34x
Answer:
Step-by-step explanation:
g(x) = √(32x) = √(2⁵x) = 4√(2x)
(f∘g)(x) = f(g(x))
= f(4√(2x))
= √(2 ⋅ 4√(2x))
= √(8√(2x))
= √8∜2∜x
= ∜(2⁷x)
= ∜(128x)
which doesn’t match any of the choices. There’s an error in the question.
I believe that the functions were written incorrectly and the x should not be part of the radicands (see attachment). That makes the answer A.
Simplified 1100/2500
Answer:
11/25
Step-by-step explanation:
we can divide both top/bottom by 100, to get 11/25
:)
Suppose that the distribution of IQ's of North Catalina State University's students can be approximated by a normal model with mean 130 and standard deviation 8 points. Also suppose that the distribution of IQ's of Chapel Mountain University's students can be approximated by a normal model with mean 120 and standard deviation 10 points.
Required:
What is the probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students?
Answer:
0.7517 = 75.17% probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students
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.
Subtraction of normal variables:
When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
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.
North Catalina:
Population has mean 130 and standard deviation 8 points. Sample of 3. This means that:
[tex]\mu_{N} = 130, s_{N} = \frac{8}{\sqrt{3}} = 4.6188[/tex]
Chapel Mountain:
Population has mean 120 and standard deviation 10 points. Sample of 3. This means that:
[tex]\mu_{C} = 120, s_{C} = \frac{10}{\sqrt{3}} = 5.7735[/tex]
What is the probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students?
We want that: [tex]N - C > 5[/tex]
Distribution N - C:
The mean is:
[tex]\mu = \mu_N - \mu_C = 130 - 120 = 10[/tex]
The standard deviation is:
[tex]s = \sqrt{s_N^2+s_C^2} = \sqrt{4.6188^2+5.7735^2} = 7.3937[/tex]
This probability is 1 subtracted by the pvalue of Z when X = 5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{5 - 10}{7.3937}[/tex]
[tex]Z = -0.68[/tex]
[tex]Z = -0.68[/tex] has a pvalue of 0.2483
1 - 0.2483 = 0.7517
0.7517 = 75.17% probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students
x over 8 = 10?
i just need to solve for x
If you leave $2300 in an account earning 3% interest, compounded daily, how much money will be in the account after 5 years? (Round your answer to two decimal places.)
Answer:
$2672.20
Step-by-step explanation:
2300(1+(0.03)/(365))^(5*365)
=$2672.20
The scatter plot below shows the amount of money Shawn had in the bank on days in the month of January.
Which statement best describes the relationship between the amount of money Shawn had in the bank and the day of the month?
What is the value of f(x) when x=3?
0 -3
0-2
0 1
04
The value of the function when x=3 is approximately 18.83.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Linear function is a function whose graph is a straight line
We are given that;
The function
Now,
we need to substitute x=3 into the function and simplify it. We get:
3(3)−1+(1+3)2
=8+16
≈2.83+16
=4
Therefore, by the given function answer will be 4.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ7
8) How many terms of the arithmetic sequence (2, 4, 6, 8, ...} will give a sum of 600?
PLZ ANSWER
Answer:
I believe the answer is 300
Step-by-step explanation:
Can someone help please
You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately
σ=36.6. You would like to be 90% confident that your esimate is within 4 of the true population mean. How large of a sample size is required?
Answer:
Hmmmmm
Step-by-step explanation:
How many more people studied for 0-30 minutes than people who studied for 121-150 minutes?
Answer:
5 more people studied more in 0-30 minutes than people who studied 121-120 minutes.
Step-by-step explanation:
Identify the set of perpendicular lines in this image.
QUESTION 1
1.1
1.1.1 Wiite 2 368 000 in words
1.1.2
Round the following number 864 345,537
1.1.2.1 to the nearest thousand
1.1.2.2 to two decimal places
The three most commonly used graphs in research are the histogram, the __________, and the cumulative frequency graph (ogive)
Answer:
The four most common are probably line graphs, bar graphs and histograms, pie charts, and Cartesian graphs.
The scale on a map is 1in. = 2 mi. On the map, Greg’s house is 4in. from Melissa’s house. What is the actual distance from Greg’s house to Melissa’s house?
The distance from Greg's house to Melissa's is 8 mi.
Step-by-step explanation:
Multiply 4 by 2.
calculate the number of terms in the following arithmetic sequence. 6;1;-4;-9....... -239
Answer:
50
Step-by-step explanation:
Given
first term (a) = 6
Common Difference (d) = 1 - 6 = - 5
Last term (tn )= - 239
Number of terms (n) = ?
We know
Tn = a + ( n - 1 ) d
- 239 = 6 + (n - 1) (-5)
- 239 = 6 - 5n + 5
- 239 = 11 - 5n
5n = 11 + 239
5n = 250
n = 250 / 5
n = 50
The number of terms is 50.
If you roll a 6-sided die 54 times, what is the best prediction possible for the number of times you will roll a one?
Answer:
50% of the time (27 times) you will get an even number
Step-by-step explanation:
sorry if it wrong