Which expression is equivalent to 4(-2c) - c
-6c
8c - 1
-9c
7c + 1
I'm not good at this stuff -_-
Answer:
none of those?
Step-by-step explanation:
4(-2c) = -8c
Answer: -9c
Step-by-step explanation:
4(-2c) - c
= -8c - c
= -9c
-9c is the answer
Is (x-7) a factor of 23 - 322 – 48x + 140?
Answer:
its a i think
Step-by-step explanation:
uppose IQ scores for adults follow a Normal distribution with a standard deviation of 15. Previous analyses have determined that national average adult IQ score is 100. a) A random sample of 35 adults from Lower Arlington, yields an average score of 106. Is there any evidence at the .10 level to suggest that the mean IQ score for Lower Arlington residents differs from the national average
Answer:
The pvalue of the test is 0.0178 < 0.1, which means that there is evidence at the .10 level to suggest that the mean IQ score for Lower Arlington residents differs from the national average
Step-by-step explanation:
Previous analyses have determined that national average adult IQ score is 100.
This means that the null hypothesis is: [tex]H_0: \mu = 100[/tex]
Is there any evidence at the .10 level to suggest that the mean IQ score for Lower Arlington residents differs from the national average.
This means that the alternate hypothesis that will be tested is:
[tex]H_a: \mu \neq 100[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
100 is tested at the null hypothesis:
This means that [tex]\mu = 100[/tex]
Standard deviation of 15.
This means that [tex]\sigma = 15[/tex]
A random sample of 35 adults from Lower Arlington, yields an average score of 106.
This means that [tex]n = 35, X = 106[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{106 - 100}{\frac{15}{\sqrt{35}}}[/tex]
[tex]z = 2.37[/tex]
Pvalue of the test:
Since z is positive, and we are testing if the mean is different from a value, the pvalue of the test is 2 multiplied by 1 subtracted by the pvalue of z = 2.37.
Looking at the z-table, z = 2.37 has a pvalue of 0.9911
1 - 0.9911 = 0.0089
2*0.0089 = 0.0178
Is there any evidence at the .10 level to suggest that the mean IQ score for Lower Arlington residents differs from the national average
The pvalue of the test is 0.0178 < 0.1, which means that there is evidence at the .10 level to suggest that the mean IQ score for Lower Arlington residents differs from the national average
Choose all answers that apply
a. 7°
b. 45°
c. 90°
d. 210°
e. 355°
f. none of the above
Answer:
a,b,c,d and e
Step-by-step explanation:
a circle can be rotated any degree an be symmetrical therefore it has a infinite order of rotational symmetry
thus meaning that the answers are a , b , c, d and e
log(5x-4)-log(×+1)=log4
Answer:
x = 8
Step-by-step explanation:
log(5x-4)-log(x+1)=log 4
log [ (5x - 4) / (x+ 1) ] = log 4
[ log (a/b) = loga - logb]
(5x - 4 ) / ( x + 1) = 4
(5x - 4) = 4x + 4
5x - 4x = 4 + 4
x = 8
Hope it will help :)❤
Jen is planting a sunflower garden. She will need 1/2 pound of sunflower seeds. How many ounces of sunflower seeds will she buy?
Answer:
5 ounces
Step-by-step explanation:
Answer:
5 ounces .
Step-by-step explanation:
Tom surveyed a random sample of the junior of his school to determine whether the Fall Festival should be held in October or November. Of the 80 students surveyed, 24.8% said they preferred November. Based on this information, about how many students in the entire 230-person class would be expected to prefer having the Fall Festival in November. SHOW YOUR WORK PLEASE!!!
a. 50
b. 60
c. 75
d. 80
9514 1404 393
Answer:
b. 60
Step-by-step explanation:
We assume the percentage for the sample holds for the whole class, so the estimated number preferring November is ...
0.248 × 230 = 57.04 ≈ 60
About 60 students prefer November.
How many 6 digit combinations are there using only numbers 1-9?
Answer:
With no digits repeated that would be 60,480
Step-by-step explanation:
9×8×7×6×5×4 = 60,480
Melissa and Madeline love pepperoni pizza, but sometimes they are disappointed with the small number of pepperonis on their pizza. To investigate, they went to their favorite pizza restaurant at 10 random times during the week and ordered a large pepperoni pizza. Here are the numbers of pepperoni on each pizza.
47 36 25 37 46 36 49 32 32 34
Use the 4 step method to construct and interpret a 95% confidence interval for the true mean number of pepperonis on a large pizza at this restaurant.
Answer:
(31.919,42.881)
Step-by-step explanation:
Using the t-distribution, it is found that the 95% confidence interval for the true mean number of pepperonis on a large pizza at this restaurant is (31.92, 42.88). It means that we are 95% that the true mean number of pepperonis for all large pizzas at the restaurant is within this interval.
In this problem, we will find the standard deviation for the sample, hence the t-distribution will be used.
What is a t-distribution confidence interval?The confidence interval is given by:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.For this problem:
The sample size is n = 10.Using a calculator, we have that [tex]\overline{x} = 37.4, s = 7.66[/tex].The critical value, considering a 95% confidence interval with 10 - 1 = 9 df, is of t = 2.2622.The lower bound of the interval is:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 37.4 - 2.2622\frac{7.66}{\sqrt{10}} = 31.92[/tex]
The upper bound of the interval is:
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 37.4 + 2.2622\frac{7.66}{\sqrt{10}} = 42.88[/tex]
The 95% confidence interval for the true mean number of pepperonis on a large pizza at this restaurant is (31.92, 42.88). It means that we are 95% that the true mean number of pepperonis for all large pizzas at the restaurant is within this interval.
More can be learned about the t-distribution at https://brainly.com/question/16162795
WILL GIVE BRAINLIEST
Answer:
[tex]\sqrt{65}[/tex] is the closest to 8
Step-by-step explanation:
[tex]\sqrt{61}=7.81 \\\sqrt{66}=8.12 \\\sqrt{65} =8.06\\\sqrt{62} =7.87[/tex]
nicholas wants to buy a cd for $200 that earns 3% apr and is compounded quarterly. the cd matures in 5 years. his interest earned will not be reinvested in the cd.what will nicholas total interest be at the date of maturation?
Answer: 30
Step-by-step explanation:
Answer:
the correct answer is $1.50 for me
Step-by-step explanation:
st took the quiz and got this question correct, hope this helps!
can anyone help me with this answer?
Answer:
6m-2m+12 and 4(m+3)
Step-by-step explanation:
4(m+12)=4m+48❎
3m-m+12=2m+12❎
6m-2m+12=4m+12✅
4(m+3)=4m+12✅
m is a negative number.
Which statement is correct?
Choose only one answer.
A m + 9 is always positive
Bm + 9 is always negative
c m + 9 cannot be zero
D m + 9 could be positive or negative or zero
Answer:
D
Step-by-step explanation:
Examples
-10 +9 = -1
-8 +9 = 1
-9+9=0
how to write two pounds and four pence
In this module we reviewed finding the GCF of numbers and then finding the GCF of monomials. Below is an example of this work. Which statement best explains the similarities between the two methods?
Answer:
tell me if this right or not
Step-by-step explanation:
The largest number, which is the factor of two or more number is called the Greatest Common Factor
ex. Factors of 18 = 2×9 =2×3×3
ex.Prime factors of 24 –2×2×2×3
ex.or other factors of 14 The factors of 14 are: 1, 2, 7, 14
Please prove the following trigonometric identity.
[tex]\cos^2(5x)-\sin^2(5x)=\cos(10x)[/tex]
Answer:
See Below.
Step-by-step explanation:
We want to verify the trigonometric identity:
[tex]\cos^2(5x)-\sin^2(5x)=\cos(10x)[/tex]
For simplicity, we can let u = 5x. Therefore, by substitution, we acquire:
[tex]\cos^2(u)-\sin^2(u)[/tex]
Recall the double-angle identity formula(s) for cosine:
[tex]\displaystyle \begin{aligned} \cos(2x)&=\cos^2(x)-\sin^2(x)\\&=2\cos^2(x)-1\\&=1-2\sin^2(x)\end{aligned}[/tex]
Therefore, our identity becomes:
[tex]=\cos(2u)[/tex]
Back-substitute:
[tex]=\cos(2(5x))=\cos(10x)\stackrel{\checkmark}{=}\cos(10x)[/tex]
Hence proven.
cos²A - sin²A = cos2A, this is a general indentity where A can have any random value x/2, y/3, 1/8, 8, 9 etc.
Replacing A with 5x:
=> cos²(5x) - sin²(5x) = cos²(10x)
Moreover,
cos(A + B) = cosAcosB - sinAsinB.
When A = B,
cos(A + A) = cosAcosA - sinAsinA
cos2A = cos²A - sin²A
You can do the same with 5x.
cos(10x) = cos(5x + 5x)
cos(10x) = cos(5x)cos(5x) - sin(5x)sin(5x)
cos(10x) = cos²(5x) - sin²(5x)
HELPPPPPPPPPPP!! SMART People?
its $1.07 my bad XD :P
Step-by-step explanation:
HELP ME PLEASE
Part 2: What is the quotient of
5
3
?
4
12
Answer:
addition=24
subtraction=6
multiplication=720
division=1.8
i need help please...
Answer:
B
Step-by-step explanation:
I think it's hitting a golf ball in the air, as it is a transformation, but the general shape of it is not affected.
Opening a locker, you are still affecting the general shape.
A man who is 2m tall stands on horizontal ground 30m from a tree. The Angel of elevation of the top of the tree from his eyes is 28 . Fine the distance between the men eyes to the top of the tree
Answer:33.95 m
Step-by-step explanation:
Given
The height of the man is 2 m
Distance between man and tree is 30 m
the angle of elevation of the top from the eyes is [tex]28^{\circ}[/tex]
from the figure,
[tex]\Rightarrow \tan 28^{\circ}=\dfrac{h}{30}\\\\\Rightarrow h=30\tan 28^{\circ}=15.91\ m[/tex]
Using Pythagoras we can write
[tex]\Rightarrow AD^2=ED^2+AE^2\\\Rightarrow AD^2=30^2+15.91^2\\\Rightarrow AD=33.95\ m[/tex]
Thus the distance between the men eyes to the top of the tree is 33.95 m
6) Supplementary Exercise 5.51
A consumer advocate claims that 80 percent of cable television subscribers are not satisfied with their cable service. In an attempt to justify this claim, a randomly selected sample of cable subscribers will be polled on this issue.
(a)
Suppose that the advocate's claim is true, and suppose that a random sample of five cable subscribers is selected. Assuming independence, use an appropriate formula to compute the probability that four or more subscribers in the sample are not satisfied with their service. (Do not round intermediate calculations. Round final answer of p to 1 decimal place. Round other final answers to 4 decimal places.)
The answer for 6(a) is P( Xâ¥4) = P ( x = 4) + P (x = 5) = 5/4 * 0.84 * 0.21 + 5/5 * 0.85 * 0.20 = 0.737
(b)
Suppose that the advocate's claim is true, and suppose that a random sample of 25 cable subscribers is selected. Assuming independence, find each of the following: (Do not round intermediate calculations. Round final answer of p to 1 decimal place. Round other final answers to 4 decimal places.)
1.
The probability that 15 or fewer subscribers in the sample are not satisfied with their service.
The answer for 6(b)1 is P(Yâ¤15) = 1 - P( Y > 20) - X20, i = 16 P ( Y = i) = 1- 0.421 - 0.562 = 0.017
2.
The probability that more than 20 subscribers in the sample are not satisfied with their service.
The answer for 6(b)2 is
3.
The probability that between 20 and 24 (inclusive) subscribers in the sample are not satisfied with their service.
The answer for 6(b)3 is P(20 > Y < 24) = 1 - 0.421 - 0.1867 - 0.1358 - 0.0708 - 0.0236 = 0.1621
4.
The probability that exactly 24 subscribers in the sample are not satisfied with their service.
The answer for 6(b)4 is P( Y = 24) = 0.0236
(c)
Suppose that when we survey 25 randomly selected cable television subscribers, we find that 15 are actually not satisfied with their service. Using a probability you found in this exercise as the basis for your answer, do you believe the consumer advocate's claim? Explain. (Round your answer to 4 decimal places.)
Answer:
[tex]P(X \le 4) = 0.7373[/tex]
[tex]P(x \le 15) = 0.0173[/tex]
[tex]P(x > 20) = 0.4207[/tex]
[tex]P(20\ge x \le 24)= 0.6129[/tex]
[tex]P(x = 24) = 0.0236[/tex]
[tex]P(x = 15) = 1.18\%[/tex]
Step-by-step explanation:
Given
[tex]p = 80\% = 0.8[/tex]
The question illustrates binomial distribution and will be solved using:
[tex]P(X = x) = ^nC_xp^x(1 - p)^{n-x}[/tex]
Solving (a):
Given
[tex]n =5[/tex]
Required
[tex]P(X\ge 4)[/tex]
This is calculated using
[tex]P(X \le 4) = P(x = 4) +P(x=5)[/tex]
This gives:
[tex]P(X \le 4) = ^5C_4 * (0.8)^4*(1 - 0.8)^{5-4} + ^5C_5*0.8^5*(1 - 0.8)^{5-5}[/tex]
[tex]P(X \le 4) = 5 * (0.8)^4*(0.2)^1 + 1*0.8^5*(0.2)^0[/tex]
[tex]P(X \le 4) = 0.4096 + 0.32768[/tex]
[tex]P(X \le 4) = 0.73728[/tex]
[tex]P(X \le 4) = 0.7373[/tex] --- approximated
Solving (b):
Given
[tex]n =25[/tex]
i)
Required
[tex]P(X\le 15)[/tex]
This is calculated as:
[tex]P(X\le 15) = 1 - P(x>15)[/tex] --- Complement rule
[tex]P(x>15) = P(x=16) + P(x=17) + P(x =18) + P(x = 19) + P(x = 20) + P(x = 21) + P(x = 22) + P(x = 23) + P(x = 24) + P(x = 25)[/tex]
[tex]P(x > 15) = {25}^C_{16} * p^{16}*(1-p)^{25-16} +{25}^C_{17} * p^{17}*(1-p)^{25-17} +{25}^C_{18} * p^{18}*(1-p)^{25-18} +{25}^C_{19} * p^{19}*(1-p)^{25-19} +{25}^C_{20} * p^{20}*(1-p)^{25-20} +{25}^C_{21} * p^{21}*(1-p)^{25-21} +{25}^C_{22} * p^{22}*(1-p)^{25-22} +{25}^C_{23} * p^{23}*(1-p)^{25-23} +{25}^C_{24} * p^{24}*(1-p)^{25-24} +{25}^C_{25} * p^{25}*(1-p)^{25-25}[/tex]
[tex]P(x > 15) = 2042975 * 0.8^{16}*0.2^9 +1081575* 0.8^{17}*0.2^8 +480700 * 0.8^{18}*0.2^7 +177100 * 0.8^{19}*0.2^6 +53130 * 0.8^{20}*0.2^5 +12650 * 0.8^{21}*0.2^4 +2300 * 0.8^{22}*0.2^3 +300 * 0.8^{23}*0.2^2 +25* 0.8^{24}*0.2^1 +1 * 0.8^{25}*0.2^0[/tex]
[tex]P(x > 15) = 0.98266813045[/tex]
So:
[tex]P(X\le 15) = 1 - P(x>15)[/tex]
[tex]P(x \le 15) = 1 - 0.98266813045[/tex]
[tex]P(x \le 15) = 0.01733186955[/tex]
[tex]P(x \le 15) = 0.0173[/tex]
ii)
[tex]P(x>20)[/tex]
This is calculated as:
[tex]P(x>20) = P(x = 21) + P(x = 22) + P(x = 23) + P(x = 24) + P(x = 25)[/tex]
[tex]P(x > 20) = 12650 * 0.8^{21}*0.2^4 +2300 * 0.8^{22}*0.2^3 +300 * 0.8^{23}*0.2^2 +25* 0.8^{24}*0.2^1 +1 * 0.8^{25}*0.2^0[/tex]
[tex]P(x > 20) = 0.42067430925[/tex]
[tex]P(x > 20) = 0.4207[/tex]
iii)
[tex]P(20\ge x \le 24)[/tex]
This is calculated as:
[tex]P(20\ge x \le 24) = P(x = 20) + P(x = 21) + P(x = 22) + P(x =23) + P(x = 24)[/tex]
[tex]P(20\ge x \le 24)= 53130 * 0.8^{20}*0.2^5 +12650 * 0.8^{21}*0.2^4 +2300 * 0.8^{22}*0.2^3 +300 * 0.8^{23}*0.2^2 +25* 0.8^{24}*0.2^1[/tex]
[tex]P(20\ge x \le 24)= 0.61291151859[/tex]
[tex]P(20\ge x \le 24)= 0.6129[/tex]
iv)
[tex]P(x = 24)[/tex]
This is calculated as:
[tex]P(x = 24) = 25* 0.8^{24}*0.2^1[/tex]
[tex]P(x = 24) = 0.0236[/tex]
Solving (c):
[tex]P(x = 15)[/tex]
This is calculated as:
[tex]P(x = 15) = {25}^C_{15} * 0.8^{15} * 0.2^{10}[/tex]
[tex]P(x = 15) = 3268760 * 0.8^{15} * 0.2^{10}[/tex]
[tex]P(x = 15) = 0.01177694905[/tex]
[tex]P(x = 15) = 0.0118[/tex]
Express as percentage
[tex]P(x = 15) = 1.18\%[/tex]
The calculated probability (1.18%) is way less than the advocate's claim.
Hence, we do not believe the claim.
Two sides of a triangle measure 6 cm and 8 cm. What is the possible measurement of the 3rd side of the triangle
Step-by-step explanation:
If the triangle is right, we can use Pitagora
We can have 2 results
1.
[tex] \sqrt{ {6}^{2} + {8}^{2} } = \\ = \sqrt{36 + 64} = \\ = \sqrt{100} \\ = 10[/tex]
2.
[tex] \sqrt{ {8}^{2} - {6}^{2} } = \\ = \sqrt{64 - 36} = \\ = \sqrt{28 } \\ = 2 \sqrt{7} [/tex]
At the produce store you can buy 4 bags of bananas for $22.52. How much would it cost if you were to buy 2 bags? Explain
Answer:
11.26
Step-by-step explanation: The easy way to . complete this is to get the 22.52 split it in half to get your answer. Because they asked for the price of 2 and 2 is half of 4.
since 4 bags of bananas costs $22.52, you would just divide by 2 to find out how much 2 bags of bananas costs.
22.52/2=$11.26
It costs $11.26 for 2 bags of bananas.
PLEASE HELP!!! DUE IN 10 MIN!!!
Answer:
[tex]64[/tex]cm³
Step-by-step explanation:
[tex]8 \times 2 \times 4 \\ = 64[/tex]
Answer:
64
Step-by-step explanation:
Hello There!
The formula for volume of a rectangular prism is
[tex]V=lwh[/tex]
where w = width
l = length
h = height
They give us the following dimensions
height = 4
width = 2
length = 8
all we have to do is plug in the values
[tex]V=2(4)8\\2*4=8\\8*8=64\\V=64[/tex]
Thus the answer is 64
NEED HELP I SUCK AT GEOMETRY (OFFERING 100POINTS)!!! best answer get brainlest
Can you prove the triangles below are congruent? Explain why or why not.
Answer: This is kinda confusing but I would say no
Step-by-step explanation: Because they would be congruent if the little line in JKD is in the middle of JK instead of KD.
Answer:
The traingles are not congruent.
Step-by-step explanation:
ang A=ang J
ang L=ang K
LA=KD
So, u must have thaught that the triangles are congruent by ASA. But it's not true.
The Angle-Side-Angle criterion states that the two triangles can only be congruent if two angles and the included side of one triangle are equal to the corresponding two angles and the included side of the other triangle.
But here, the LA is the included side but KD is not. In order to be congruent, LA must congruent to KJ of ∆JKD.
Which quadrant does the point (-3, 6) lie in?
Quadrant IV
Quadrant I
Quadrant II
It should be in Quadrant II! <3
Answer:
Quadrant II
Step-by-step explanation:
List the containers from least to greatest: 1.73, 2.061, 1.59, 2.1
Find the length of the third side. If necessary,
round
to
the nearest tenth.
4
7
Answer:
The answer would be 8.1
Step-by-step explanation:
three times a number,minus 2, is equal to two times the number,plus 7
Answer:
9
Step-by-step explanation:
3x−2=2x+7
Step 1: Subtract 2x from both sides.
3x−2−2x=2x+7−2x
x−2=7
Step 2: Add 2 to both sides.
x−2+2=7+2
Answer:
x=9
Answer:
9
Step-by-step explanation:
3x-2=2x+7
3x-2x-2+2=2x-2x+7+2
x=9
3(9)-2=2(9)+7
27-2=18+7
25=25
Graph comparison:
In the image (at the end, below) you can find the function [tex]f (x) = 3^{x}[/tex] and [tex]g(x) = log_{3} x[/tex]
a) Which curve represents the graph of the function f (x)? And g (x)?
b) What is the relationship between f (x) and g (x)?
9514 1404 393
Answer:
a) left curve: f(x); right curve: g(x)
b) the functions are inverses of each other
Step-by-step explanation:
(a) An exponential function with a base greater than 1 has increasing slope. A log function has decreasing slope. The exponential function is on the left.
__
(b) The base of the exponential is the same as the base of the logarithm, so these functions are inverses of each other. This can be seen in the fact that each is a reflection of the other in the line y=x.