Answer:
true
Step-by-step explanation:
(-3)^22 -> to the power of an even number -> answer is positive
(-2)^33 -> to the power of an odd number -> answer is negative
positive # > negative #
Answer:
True
Step-by-step explanation:
First let's compare them.
(-3)²² (-2)³³-3 raised to an even power will give a positive number.
-2 raised to an odd power will give a negative number.
Therefore, (-3)²² > (-2)³³ is a true statement.
A large car dealership claims that 47% of its customers are looking to buy a sport utility vehicle (SUV). A random sample of 61 customers is surveyed. What is the probability that less than 40% of the sample are looking to buy an SUV?
Using the normal distribution and the central limit theorem, it is found that the probability is of 0.1368 = 13.68%.
Normal Probability DistributionIn a normal distribution 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]
It 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, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].In this problem:
47% of its customers are looking to buy a sport utility vehicle (SUV), hence p = 0.47.A sample of 61 customers is taken, hence n = 61.The mean and the standard error are given by:
[tex]\mu = p = 0.47[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.47(0.53)}{61}} = 0.0639[/tex]
The probability that less than 40% of the sample are looking to buy an SUV is the p-value of Z when X = 0.4, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.4 - 0.47}{0.0639}[/tex]
Z = -1.095
Z = -1.095 has a p-value of 0.1368.
0.1368 = 13.68% probability that less than 40% of the sample are looking to buy an SUV.
To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213
find the term to term rule for the following sequence 2,6,18, 54, 162
Answer:
multiply 3 or *3 that is 2*3=6
I need extra help. Someone
Answer:
C. tanS = 5/12, tanT = 12/5
Step-by-step explanation:
Tangent has NOTHING to do with hypotenuse, do we can easily eliminate answer choices involving 13, the hypotenuse. For angle S, the opposite side measures 5 and the adjacent side measures 12. For angle T, the opposite side measures 12 and the adjacent side measures 5. See this below algebraically
tanθ = opp/adj
tanS = 5/12
tanT = 12/5
I hope this helps!
Find the quotient of 3/5 and 2/3
Give your answer as a fraction in its simplest form.
At andres birthday party 3 pizzas were ordered for lunch. Each pizza was divided into 8 equal slices. Each child ate 2 pieces and there were 2 pieces left how many children were at the party?
Answer: I dont know if im right for sure but the answer should be 4
Step-by-step explanation
8 goes into 2 4 times (8 divided by 2 = 4)
Each child ate 2 pieces (4-2=2)
so therefore for it to be 2 pieces left over there were 4 kids I think.
Answer:
11
Step-by-step explanation:
So each pizza has 8 equal slices but we don't know the amount pizzas but we can find it by doing this ⬇️
1 pizza= 8 slices
3 pizzas = x
you cross multiply it and it will end up as 3×8= 24 slices.
now each kid ate 2 pieces and there was a leftover of 2
therefore, 24-2= 22 pieces divided 2 is 11
or; 3×8=24-2=22÷2=11
What is 28.6 rounded to the nearest tenth ?
Answer: 28.6
Step-by-step explanation:
To round 28.6 to the nearest tenth consider the hundredths’ value of 28.6, which is 0 and equal or more than 5. Therefore, the tenths value of 28.6 increases by 1 to 7.28.6 rounded to the nearest tenth = 28.6 hope that helps
Number of Handshakes If eight people greet each other at a meeting by shaking hands with one another, how many handshakes take place?
The number of handshake that took place is 28.
In any situation where order of an outcome does not matter, mathematical combination (C) are use calculate the total outcomes of an event.
8 people are to shake each other once. The concept to be use to derive the number of hands that took place is Combination.
The formulae of Combination for this Scenario is n(n-1)/2n(n−1)/2 .
The number of people (n) is 8.
\begin{gathered}Total handshake = n(n-1)/2\\Total handshake = 8 * (8-1)/2\\Total handshake = 8 * 7/2\\Total handshake = 56/2\\Total handshake = 28\end{gathered}Totalhandshake=n(n−1)/2Totalhandshake=8∗(8−1)/2Totalhandshake=8∗7/2Totalhandshake=56/2Totalhandshake=28
In conclusion, the number of handshake that took place is 28.
Answer:
28
Step-by-step explanation:
3 people
A B C
AB
AC
BC
3 total
4 people
A B C D
AB
AC
AD
BC
BD
CD
6 total
this can be modeled with
n*(n - 1)/2
8*(8 - 1)/2
8*3.5
28
Josh wants to spend less than $80 to buy
4 shirts and a pair of pants. The pants cost $24.
The shirts he wants all cost the same.
2. Which inequality can be used to find how
much Josh will spend on each shirt?
A. 4s + 24 > 80
B. 4s + 24 < 80
C. 4s + 24 = 80
D. 4s + 24 = 80
Answer:
B
Step-by-step explanation:
b because everything must cost less than 80 and
< 80 means the unknown number will be less than 80.
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
.nxmdmxmxmdmmddmm mcmcmfmfmcmxmcmc fnnffn
Answer:
what do you want to ask brother...
Step-by-step explanation:
or you post this by mistake.....
What's more 10/4 miles or 5/2 miles
Answer:
They are equal
Make them into mixed numbers
10/4 = 2 2/4 you can put this into its simplest form so 2 1/2
5/2 = 2 1/2
If the odds against an event are 5:8, then the probability that the event will fail to occur is
Answer:
Step-by-step explanation:
5/8
Odds against event are 5:8
Means ration of not happening of work =
5/8
Sample space has 8+5=13 possibilities
Probability it being to work=
8/13
Which figures below have perpendicular lines?
1
2
3
4
5
6
7
Answer:
Square, purple triangle, and red arrow
Step-by-step explanation:
How to solve this 2 question?
8. For brevity, let U = unemployed, E = employed, M = male, F = female. We're given that
P(M) = P(F) = 50/100 = 1/2
P(U) = 60/100 = 3/5
P(M | U) = 2/3
P(E) = 40/100 = 2/5
P(F | E) = 3/4
8a. This follows immediately from the given information. Specifically,
P(E) = 1 - P(U) = 1 - 3/5 = 2/5
8b. By definition of conditional probability,
P(A | B) = P(A and B) / P(B) ⇒ P(A and B) = P(A | B) P(B)
It follows that
P(M and U) = P(M | U) P(U) = 2/3 • 3/5 = 2/5
8c. Using Bayes' rule/the definition of conditional probability,
P(U | F) = P(U and F) / P(F) = P(F | U) P(U) / P(F)
Since F and M are mutually exclusive,
P(F | U) = 1 - P(M | U)
and so
P(U | F) = (1 - 2/3) • 3/5 / [(1 - 2/3) • 3/5 + 3/4 • 2/5] = 2/5
8d. Here we assume gender and employment status are independent, so for instance
P(F and E) = P(F) P(E)
We then have by the inclusion/exclusion principle that
P(F or U) = P(F) + P(U) - P(F and U) = P(F) + P(U) - P(F) P(U)
We also have by the law of total probability
P(F) = P(F and U) + P(F and E)
so
P(F or U) = P(F and U) + P(F and E) + P(U) - P(F) P(U)
By the assumed independence,
P(F or U) = P(F) P(U) + P(F) P(E) + P(U) - P(F) P(U)
P(F or U) = P(F) P(E) + P(U)
P(F or U) = 1/2 • 2/5 + 3/5 = 4/5
9.
a. This is mostly a matter of counting the ways a given type of stamp can fall out.
[tex]P(A) = \dfrac{\dbinom{20}3}{\dbinom{24}3} = \dfrac{285}{506}[/tex]
since there are 20 non-green stamps.
[tex]P(B) = \dfrac{\dbinom21 \dbinom{22}2}{\dbinom{24}3} = \dfrac{21}{92}[/tex]
since there are 2 red and unused stamps, 1 of which we want; the other 2 stamps come from the remaining 22 non-red-and-unused stamps.
[tex]P(A \cap B) = \dfrac{\dbinom21 \dbinom{18}2}{\dbinom{24}3} = \dfrac{153}{1012}[/tex]
since exactly 1 of the stamps must be red and unused, and the other 2 stamps that fall out can be neither green nor red and unused.
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = \dfrac{162}{253}[/tex]
which follows from the inclusion/exclusion principle.
b. There is a total of 10 used stamps, so the probability of at least 1 going missing is
[tex]P(C) = \dfrac{\dbinom{10}1\dbinom{14}2 + \dbinom{10}2\dbinom{14}1 + \dbinom{10}3}{\dbinom{24}3} = \dfrac{415}{506}[/tex]
By definition of conditional probability,
[tex]P(C \mid A) = \dfrac{P(C \cap A)}{P(A)}[/tex]
However, there are no used green stamps; any used stamp that goes missing must be red, blue or yellow. So the event A ∩ C is really just the event C, and
[tex]P(C \mid A) = P(C) = \dfrac{415}{506}[/tex]
c. A and C are independent if and only if
[tex]P(A \cap C) = P(A) P(C)[/tex]
We know
[tex]P(C \cap A) = P(C)[/tex]
so if A and C are independent, then
[tex]P(C) = P(A) P(C)[/tex]
but this would imply P(A) = 1, which is clearly not the case as we found in 9.a. So A and C are not independent.
What must be a factor on the polynomial Function F(x) graphed on the coordinate plane below?
X-3
X-1
X+1
X+2
Answer:
x - 1
Step-by-step explanation:
The graph touches the x-axis at x = 1, its factor would be (x - 1)
PLSS HELP.
Simplify the expression. Write the answer using scientific notation (7x10^5)^2
Answer:
[tex]\sf 4.9 \times 10^{11}[/tex]
Step-by-step explanation:
Given expression: [tex]\sf (7 \times 10^5)^2[/tex]
Apply exponent rule [tex]\sf (ab)^2=a^2 \cdot b^2[/tex] :
[tex]\sf \implies 7^2 \times (10^5)^2[/tex]
[tex]\sf \implies 49 \times (10^5)^2[/tex]
Apply exponent rule [tex]\sf (a^b)^c=a^{bc}[/tex] :
[tex]\sf \implies 49 \times 10^{5 \cdot 2}[/tex]
[tex]\sf \implies 49 \times 10^{10}[/tex]
Scientific notation: [tex]\sf a \times 10^n[/tex]
where [tex]\sf 1\leq a < 10[/tex] and n is an integer
We can write 49 as [tex]\sf 4.9 \times 10=4.9 \times 10^1[/tex]
[tex]\sf \implies 4.9 \times 10^1\times 10^{10}[/tex]
Apply exponent rule [tex]\sf a^ba^c=a^{b+c}[/tex]
[tex]\sf \implies 4.9 \times 10^{11}[/tex]
PLEASE HELP: PICTURE ATTACHED
Multiply 80 by number of copies sold and add to her salary:
P = 80N + 1700
Now replace N with 26:
P = 80(26) + 1700
P = 3,780
Answer:
P=1,700+80n
Total Pay if Yoko sells 26 Copies; 3,780
Hope This Helps! :) Please Mark Brainliest!
Among all rectangles that have a perimeter of 172, find the dimensions of the one whose area is largest. Write your answers as fractions reduced lowest terms.
Answer:
43 x 43 units 1849 units^2
Step-by-step explanation:
The largest area will be a square (equla sides)
172 / 4 = 43
a square IS a rectangle
43 x 43
convert [tex]\sqrt3 + i[/tex] to polar form
[tex]a~~\pm~~bi\implies r[\cos(\theta ) \pm i\sin(\theta )] \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \sqrt{3}~~ + ~~i\implies \stackrel{x}{\sqrt{3}}~~ + ~~\stackrel{y}{1} i\qquad \qquad \begin{cases} r=\sqrt{x^2+y^2}\\\\ \theta =\tan^{-1}\left( \frac{y}{x} \right) \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]r=\sqrt{(\sqrt{3})^2+(1)^2}\implies r=\sqrt{3+1}\implies r=2 \\\\\\ \theta =\tan^{-1}\left( \cfrac{1}{\sqrt{3}} \right)\implies \theta =\cfrac{\pi }{6} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 2\left[\cos\left( \frac{\pi }{6} \right)~~ + ~~i\sin\left( \frac{\pi }{6} \right) \right]~\hfill[/tex]
Check the picture below.
What is the surface area of a sphere with a radius of 15 cm?
Answer:
2827.43 cm^2
Step-by-step explanation:
Hope this helped! <3 Have a great day :) Brainliest please?
Find the area of
the parallelogram.
yd
15 yd
The area of the parallelogram is
yd?.
(Type an integer or a decimal.)
225
Step-by-step explanation:[tex]15\times 15[/tex]
__________________________________________________
Calculate
[tex]15\times 15[/tex]
__________________________________________________
Calculate the product or quotient
[tex]225[/tex]
I hope this helps you
:)
ALGEBRA 2:
"As you may know, Ms. Gran is our hottest movie star of the century. This agency considers it our good fortune to have her as one of our clients. Since she is in such big demand the movie studio of ILM will do anything to get her under contract. Because of this, they have sent over three different contracts for her. Since math was your favorite subject in school, I am asking that you analyze the three contracts to help Ms. Gran make the best financial decision. When you have completed your analysis, I need you to send a report to Ms. Gran explaining what you think is in her best interest to sign."
Contract A:
$20 for a 1 day contract
$40 for a 2 day contract
$80 for a 3 day contract, etc.
Contract B:
$0.02 for a one day contract
$0.06 for a two day contract
$0.18 for a three day contract, etc.
Contract C:
$100,000 for a 1 day contract
$200,000 for a 2 day contract
$300,000 for a 3 day contract, etc
Step-by-step explanation:
it is 300,000 for a 3 day contract
HELP ME PLEASE 30 points, HELP
Answer:A
Step-by-step explanation:
When you translate you are simply moving the shape up, down, left right. You are not rotating it or chanding it's orientation.
Answer: the answer is B
Step-by-step explanation: B because it would’ve reflected off of the 1st quadrant on a grid so it would be facing the opposite direction.
Paige used 1 1/2 cups of flour and 1/4 cup of butter to make 12 muffins. How much flour and butter would palat
need for 18 muffins?
A. 3 cups flour and 3/4 cup butter
B. 2 3/4 cups flower and 1/8 cup butter
C. 2 cups flower and 1/2 cup butter
D. 2 1/4 cups of flower and 3/8 cup butter
Answer:
D
Step-by-step explanation:
To turn the fraction of 1 1/2 to decimal would be : 1.50 add fifty percent because you have to add 6 to 12 and six is half, so you add half. Half of 150 is 75 so add them you get 225 and as a fraction, that's 2 1/4. Already you have the first part done. Since there is only one answer with 2 1/3 your answer has to be D.
Solve the system of equations x - 2y = – 7 and -3x – 2y = 29 by combining the
equations.
Answer:
x = - 9, y = -1
Step-by-step explanation:
Given:
[tex]\begin{bmatrix}x-2y=-7\\ -3x-2y=29\end{bmatrix}[/tex]
Solve:
[tex]\mathrm{Substitute\:}x=-7+2y[/tex]
[tex]\begin{bmatrix}-3\left(-7+2y\right)-2y=29\end{bmatrix}[/tex]
[tex]\begin{bmatrix}21-8y=29\end{bmatrix}[/tex]
[tex]\mathrm{For\:}x=-7+2y[/tex]
[tex]\mathrm{Substitute\:}y=-1[/tex]
[tex]x=-7+2\left(-1\right)[/tex]
[tex]x=-9[/tex]
[tex]\mathrm{Thus, Answer:x=-9,\:y=-1}[/tex]
[RevyBreeze]
Answer:
x = -9, y = -1
Step-by-step explanation:
Solution:
If x = -7+2y
Then
-3(-7+2y)-2y=29
Simplify
21 - 8y = 29
And if x = -7+2y
Simplify
y = -1
x = -7+2(-1)
x = -9
Hence, x = -9 and y = -1
~lenvy~
Kaitlynn needs 3 pounds of fruit for a salad.
She already has 34 pound of apples and 13 pound of grapes.
How many more pounds of fruit does she need to buy?
Answer:
She has 1 and 1/12 pounds of fruit already and she needs 1 and 11/12 pounds more to have 3 total pounds
The table below lists four potential investments. The time for all of the investments is 5 years, and compound interest is compounded annually.
Which investment produces the most interest?
Answer:
Investement P
Step-by-step explanation:
answer with explanation please
Answer:
D. x>5
Step-by-step explanation:
[tex]3x + 2 < 4x - 3 \\ = 3x - 4x < - 3 - 2 \\ = - x < - 5 \\ = x > 5[/tex]
100 points! Please help find the direction!
The direction will be resultant
A=11iB=20i+9√3jNow
R=√A²+B²+2ABcos60R=√(11i)²+(20i+9√3j)²+2(11i)(20+9√3j)(1/2)R=√1155.5R≈33.98°Find the sum of 3.0478 and 4.92 using the correct number of significant digits.
A. 7.967
B. 7.97
C. 7.9
D. 8
Answer:
Since the least number of digits in the number is 2 decimal places
Round 3.0478 to 2 dp
3.05+4.92=7.97
B is the answer
Step-by-step explanation:
Give brainliest please
Answer:
B
Step-by-step explanation:
what is 70-(5x2)+18 with explanation and step please
Step-by-step explanation:
Please Mark me brainliestAnswer:
78
Step-by-step explanation:
70 - (5 x 2) + 18We should solve according to the order of operations, PEMDAS.
P = ParenthesesE = ExponentsM = MultiplicationD = DivisionA = AdditionS = Subtraction#1) Parentheses
70 - (5 x 2) + 1870 - 10 + 18#2) Subtraction
70 - 10 + 1860 + 18#3) Addition
60 + 1878