Answer:
31 (i.e 3 tens and 1 unit)
Step-by-step explanation:
217 can be split up as,
2 hundreds, 1 tens, and 7 units.
186 can be split up as,
1 hundred, 8 tens and 6 units
If we solve straight we'll have
(2-1)hundreds + (1-8)tens + (7-6)units.
(1-8)tens will give a negative value, complicating the operation.
To make our operation easier we can use the fact that 1 hundred is equal to 10 ten to further split the 217, and it becomes
1 hundred, 11 tens and 7 units.
The operation becomes
(1-1)hundreds + (11 - 8)tens + (7-6)units
= 0 hundred + 3tens + 1 unit
= 3 tens + 1unit
= (3 x 10) + 1 = 31
How many ways can 12 swimmers finish in first, second, and third place
Using the numbers 4.3, -1.07, and -2.971, write an expression containing both addition and subtraction that simplified to a positive number.
Answer:
4.3 + (-1.07)+(-2.971)
Step-by-step explanation:
4.3 + (-1.07)+(-2.971)
4.3 -1.07-2.971
4.3 - 4.041= 0.259
Find the mean, median, and mode(s) of the data. Choose the measure that best represents the data. Explain your reasoning. Find the mean, median, and mode(s) of the data with and without the outlier. Which measure did the outlier affect the most? 8, 10, 10, 11, 16, 17, 19, 21, 41
Answer:
Mean: 17
Median: 16
Mode: 10
Step-by-step explanation:
8, 10, 10, 11, 16, 17, 19, 21, 41
Median: (the middle number in the number list/data set) 16
Mode: 10
Mean: 8 + 10 + 10 + 11 + 16 + 17 + 19 + 21 + 41 = 153/9 = 17
The mean is equal to 17. The value of the median is 16 and the value of the mode is 10.
What are mean, mode and median?The mean of the numbers is defined as the ratio of the sum of the total numbers to the total count of the numbers.
The given numbers are,
8, 10, 10, 11, 16, 17, 19, 21, 41
Mean = ( 8 + 10 + 10 + 11 + 16 + 17 + 19 + 21 + 41 ) / 9
Mean = 153/9
Mean = 17
The median is calculated by arranging the numbers in ascending order and the middle term of the data.
8, 10, 10, 11, 16, 17, 19, 21, 41
The median is 16.
The mode is calculated as the highest repetition in the data,
8, 10, 10, 11, 16, 17, 19, 21, 41
Mode: 10
Therefore, the mean is equal to 17. The value of the median is 16 and the value of the mode is 10.
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The table shows the heights of 40 students in a class.
-Height (h)
in cm-
120 < t < 124
124 < t < 128
128 < t < 132
132 <t< 136
136 <t< 140
__________
-Frequency-
7
8
13
9
3
__________
a) Calculate an estimate for the mean height of the students
Answer:
129.3
Step-by-step explanation:
You have to find the number in the middle of all of the heights and multiply them by the all of the frequency (122x7 etc). When you have those answers, add them together and divide the answer by 40.
A polynomial function has a root of -5 with multiplicity 3, a root of 1 with multiplicity 2, and a root of 3 with multiplicity 7. If the
function has a negative leading coefficient and is of even degree, which statement about the graph is true?
The graph of the function is positive on (-0, 5).
The graph of the function is negative on (-5, 3)
The graph of the function is positive on (-0, 1).
The graph of the function is negative on (3,co)
Mark this and return
Save and Exit
Sabem
Answer:
The graph of the function is negative on (3, ∞)
Step-by-step explanation:
The function starts negative at the left side of the graph, crosses the x-axis at x = -5, touches the x-axis at x = 1, again crosses into negative values at x = 3.
The function is positive on the open intervals (-5, 1) and (1, 3). It is negative on the open intervals (-∞, -5) and (3, ∞). The latter description matches the last answer choice:
the graph of the function is negative on (3, ∞).
The object below is a cubical lunch box having each edge as 10 cm.
Find its surface area.
A
600 cm2
B
360 cm2
C
300 cm2
D
36 cm2
Answer:
B
Step-by-step explanation:
The total surface area of a cubical lunch box having each edge as 10 cm is 600 square centimeter. Therefore, option A is the correct answer.
What is surface area of a cube?The surface area of the cube all six faces of the cube are made up of squares of the same dimensions then the total surface area of the cube will be the surface area of one face added six times to itself. The formula to find the surface area of a cube is 6a², where a is edge.
Given that, the cubical lunch box having each edge as 10 cm.
Here, surface area = 6×10²
= 600 square centimeter
Therefore, option A is the correct answer.
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I go threw so much I'm only 19 years old
it's been months since I felt at home
But is okay cause I'm rich sike I'm still sad as a bih right
Answer:
juice wrld
Step-by-step explanation:
fast
Answer:
yuh
Step-by-step explanation:
5 Points
Multiply (x2 + 3x + 4)(3x2 - 2x + 1).
O A. 4x2 + x + 5
O B. 3x4 + 11x + 19x2 + 11x + 4
O C. 3x4 - 6x2 + 4
O D. 344 + 7 x° +7x2 - 5x+ 4
Answer: 3x^4+7x^3+7x^2+11x+4
Step-by-step explanation:
(x^2+3x+4)(3x^2-2x+1)
3x^4-2x^3+x^2+9x^3-6x^2+3x+12x^2-8x+4
Collect like terms
3x^4-2x^3+9x^3+x^2-6x^2+12x^2+3x+8x+4
3x^4+7x^3+7x^2+11x+4
Answer:
To multiply (x^2 + 3x + 4) and (3x^2 - 2x + 1), we need to distribute each term of the first polynomial to every term in the second polynomial:
(x^2 + 3x + 4)(3x^2 - 2x + 1)
= x^2 * (3x^2 - 2x + 1) + 3x * (3x^2 - 2x + 1) + 4 * (3x^2 - 2x + 1)
Now, let's simplify each term:
= 3x^4 - 2x^3 + x^2 + 9x^3 - 6x^2 + 3x + 12x^2 - 8x + 4
Combining like terms:
= 3x^4 + (-2x^3 + 9x^3) + (x^2 - 6x^2 + 12x^2) + (3x - 8x) + 4
= 3x^4 + 7x^3 + 7x^2 - 5x + 4
So, the product of (x^2 + 3x + 4) and (3x^2 - 2x + 1) is 3x^4 + 7x^3 + 7x^2 - 5x + 4.
Therefore, the correct answer is option C: 3x^4 + 7x^3 + 7x^2 - 5x + 4.
The Elster family drove 9.25 hours on the first day of their road trip. How many minutes is this equivalent to?
Answer:
555 minutes
Step-by-step explanation:
Which expressions are equivalent to -6.3x - 4.2?
-4.7 - 2.3x + 0.5 - 4x
-5.3x - 4.2 - x
-3.4 - 6.3x - 0.8
-6.2x - 4.2
-4.2x - 6.3
-3.7 - 5.3x + 0.5
multiple choice.
Answer:
(1): -4.7 - 2.3x + 0.5 - 4x
(2):-5.3x-4.2-x
(3):-3.4-6.3x-0.8
Step-by-step explanation:
By Collecting like terms and adding the answer I get -6.3x - 4.2
(1):-4.7-2.3x+0.5-4x
Collect like terms
-2.3x-4x-4.7+0.5
-6.3x-4.2
(2):-5.3x-4.2-x
Collect like terms
-5.3x-x-4.2
-6.3x-4.2
(3): -3.4-6.3x-0.8
Collect like terms
-6.3x-3.4-0.8
-6.3x-4.2
Answer:
The first 3 are equivalent the last 3 aren't.
Step-by-step explanation:
The angle 01 is located in Quadrant II, and sin(01) =
9/41
What is the value of cos(01)?
Express your answer exactly.
cos(01) =
Answer:
-40/41
Step-by-step explanation:
Since we know 'cos' involves the Adjacent and Hypoteneus sides, we will need to solve for the 'Adjacent' side of the triangle using the Hypoteneus Theorem.
41² = 9² + a²
a = 40.
However, this is in quadrant II, so when finding the 'cos' value, this side is -40.
Cosine is A/H, giving is:
cos(01) = -40/41
Problem 1.) A researcher claims that 96% of college graduates say their college degree has
been a good investment. In a random sample of 2000 graduates, 1500 say their college degree has
been a good investment. At a = 0.05 is there enough evidence to reject the researcher's claim?
Answer:
|Z| = |-52.5| = 52.5 > 1.96 at 0.05 level of significance
Null hypothesis is rejected
We rejected the researcher's claim
A researcher do not claims that 96% of college graduates say their college degree has been a good investment.
Step-by-step explanation:
Explanation:-
Given data A researcher claims that 96% of college graduates say their college degree has been a good investment.
Population proportion 'P' = 0.96
Q = 1-P = 1- 0.96 = 0.04
In a random sample of 2000 graduates, 1500 say their college degree has
been a good investment.
Sample proportion
[tex]p^{-} = \frac{x}{n} = \frac{1500}{2000} = 0.75[/tex]
Level of significance ∝ = 0.05
[tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96[/tex]
Test statistic
[tex]Z = \frac{p^{-} - P }{\sqrt{\frac{PQ}{n} } }[/tex]
[tex]Z = \frac{0.75 - 0.96 }{\sqrt{\frac{0.96 X 0.04}{2000} } }[/tex]
[tex]Z = \frac{-0.21}{0.00435} = -52.5[/tex]
|Z| = |-52.5| = 52.5 > 1.96 at 0.05 level of significance
Null hypothesis is rejected
We rejected the researcher's claim
Conclusion:-
A researcher do not claims that 96% of college graduates say their college degree has been a good investment.
plzz help i hav a test after i need the answer quick plzz.
Answer:Oop
Step-by-step explanation:
The function fff is given in three equivalent forms. Which form most quickly reveals the zeros (or "roots") of the function? Choose 1 answer: Choose 1 answer: (Choice A) A f(x)=-3(x-2)^2+27f(x)=−3(x−2) 2 +27f, (, x, ), equals, minus, 3, (, x, minus, 2, ), squared, plus, 27 (Choice B) B f(x)=-3(x+1)(x-5)f(x)=−3(x+1)(x−5)f, (, x, ), equals, minus, 3, (, x, plus, 1, ), (, x, minus, 5, )(Choice C) C f(x)=-3x^2+12x+15f(x)=−3x 2 +12x+15f, (, x, ), equals, minus, 3, x, squared, plus, 12, x, plus, 15 Write one of the zeros. xxx =
Answer:
(B) [tex]f(x)=-3(x+1)(x-5)[/tex]
x=5
Step-by-step explanation:
Given the three equivalent forms of f(x):
[tex]f(x)=-3(x-2)^2+27\\f(x)=-3(x+1)(x-5)\\f(x)=-3x^2+12x+15[/tex]
The form which most quickly reveals the zeros (or "roots") of f(x) is
(B) [tex]f(x)=-3(x+1)(x-5)[/tex]
This is as a result of the fact that on equating to zero, the roots becomes immediately evident.
[tex]f(x)=-3(x+1)(x-5)=0\\-3\neq 0\\Therefore:\\x+1=0$ or x-5=0\\The zeros are x=-1 or x=5[/tex]
Therefore, one of the zeros, x=5
Answer:
i dont think the one above is correct. here is the correct answer
Step-by-step explanation:
The box plots show the weights, in pounds, of the dogs in two different animal shelters.
Weights of Dogs in Shelter A
2 box plots. The number line goes from 6 to 30. For the weights of dogs in shelter A, the whiskers range from 8 to 30, and the box ranges from 17 to 28. A line divides the box at 21. For shelter B, the whiskers range from 10 to 18, and the box ranges from 16 to 20. A line divides the box at 18.
Weights of Dogs in Shelter B
One-half of the dogs in each shelter are between which weights?
between 8 and 30 pounds in shelter A; between 10 and 28 pounds in shelter B
between 8 and 17 pounds in shelter A; between 10 and 16 pounds in shelter B
between 21 and 30 pounds in shelter A; between 18 and 28 pounds in shelter B
between 28 and 30 pounds in shelter A; between 20 and 28 pounds in shelter B
Answer:
the 2nd one
i am pretty sure
Step-by-step explanation:
Evaluate the log by thinking “3 to what power is 1/9 so log3(1/9) =
Answer:-2
Step-by-step explanation:
Log3(1/9)
Log(1/9) ➗ Log3
Log(1/3^2) ➗ Log3
Log3^(-2) ➗ Log3
-2Log3 ➗ Log3
-2(Log3 ➗ Log3)
-2
The solution of the expression by taking a log is, log₃ (1/9) = - 2
Used the formula for the logarithmic function,
log₃ (a)ⁿ = n log₃ (a)
log₃ (3) = 1
Given that,
The logarithmic function is,
log₃ (1/9)
It can be written as,
log₃ (3⁻²)
Since, log₃ (a)ⁿ = n log₃ (a)
So, we get;
- 2 log₃ (3)
- 2 × 1
- 2
Therefore, the solution is - 2.
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The fair spinner shown in the diagram above is spun.
Work out the probability of getting a factor of 10.
Give your answer in its simplest form.
Answer:
The answer is "0.2"
Step-by-step explanation:
Given value:
factor = 10
The amount of two divided by the number of options. When both fours and eight gaps are available, that probability can be defined as follows:
[tex]\Rightarrow \frac{2}{10}\\\\\Rightarrow \frac{1}{5}\\\\\Rightarrow 0.2\\[/tex]
g Suppose a factory production line uses 3 machines, A, B, and C for making bolts. The total output from the line is distributed as follows: A produces 25%, B produces 35%, and C produces 40%. The defect rate for A is 5%, B is 4%, and C is 2%. If a bolt chosen at random is found to be defective, what is the probability that it came from machine A
Answer:
The probability that it came from A, given that is defective is 0.362.
Step-by-step explanation:
Define the events:
A: The element comes from A.
B: The element comes from B.
C: The element comes from C.
D: The elemens is defective.
We are given that P(A) = 0.25, P(B) = 0.35, P(C) = 0.4. Recall that since the element comes from only one of the machines, if an element is defective, it comes either from A, B or C. Using the probability axioms, we can calculate that
[tex]P(D) = P(A\cap D) + P(B\cap D) + P(C\cap D)[/tex]
Recall that given events E,F the conditional probability of E given F is defined as
[tex]P(E|F) = \frac{P(E\cap F)}{P(F)}[/tex], from where we deduce that
[tex]P(E\cap F) = P(E|F)P(F)[/tex].
We are given that given that the element is from A, the probability of being defective is 5%. That is P(D|A) =0.05. Using the previous analysis we get that
[tex] P(D) = P(A)P(D|A)+P(B) P(D|B) + P(C)P(D|C) = 0.05\cdot 0.25+0.04\cdot 0.35+0.02\cdot 0.4 = 0.0345[/tex]
We are told to calculate P(A|D), then using the formulas we have
[tex] P(A|D) = \frac{P(A\cap D)}{P(D)}= \frac{P(D|A)P(A)}{P(D)}= \frac{0.05\cdot 0.25}{0.0345}= 0.36231884[/tex]
The system of equations y = 2 x minus 1 and y = negative one-fourth x + 3 is shown on the graph below.
On a coordinate plane, 2 lines intersect around (1.8, 2.6).
What is a reasonable estimate for the solution?
(1 and three-fourths, 2 and one-half)
(2 and one-half, 1 and three-fourths)
(1 and one-third, 2 and one-half)
(2 and one-half, 1 and one-third)
Answer:
(1 3/4, 2 1/2)
Step-by-step explanation:
The point of intersection is an "ordered pair." That means the order of the two numbers is important. The first number means something different than the second number.
So, if you want a reasonable estimate for (1.8, 2.6), you need to have the first number in the estimate be close to 1.8. The offered choices are ...
1 3/4 = 1.75
2 1/2 = 2.5
1 1/3 ≈ 1.33
The closest of these to 1.8 is 1.75, so the first choice is the best choice so far.
__
The second number of the estimate needs to be close to 2.6. The offered choices are ...
2 1/2 = 2.5
1 3/4 = 1.75
1 1/3 = 1.33
The closest of these to 2.6 is 2.5, so the first choice is still the best choice.
A reasonable estimate is (1 3/4, 2 1/2).
Answer:
A: (1 3/4, 2 1/2)
Step-by-step explanation:
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
D. x+10
Step-by-step explanation:
-2x² - 16x +40 = -2(x²+8x -20) = -2(x+10)(x-2)
Which weigh more 8,112ounces or 505 pounds
Answer
8,112 ounces
Step-by-step explanation:
505 pounds converted into ounces= 8080 ounces which is not more than 8,112
Step-by-step explanation:
1 pound = 16 ounces
505 pound = 505 x 16 = 8080 ounces
So 8112 ounces weighs more
Find the compound interest on GHS 50,200 invested at 13% p.a. compounded annually for 3 years ( to the nearest
GHS).
Select one:
A. GHS 19,578
B. GHS 69,778
O
C. GHS 72,433
D. GHS 22.233
Answer:
D
Step-by-step explanation:
First found amount yielded
A = P(1+r)^nt
P is amount deposited 50,200
r is interest rate 13% = 13/100 = 0.13
t = 3
A = 50,200(1+0.13)^3
A = 50,200(1,13)^3
A = 72,433.42939999998
A is approximately 72,433.43
interest = A - P = 72,433.43-50,200 = 22,233.43= 22,233 to the nearest GHS
The list below shows the prices of T-shirts at a clothing store,
{8, 10, 10, 12, 15, 15, 18)
Which statement best describes the mean of this set?
the difference between the least and greatest prices
the sum of the prices
the quotient of the difference between the least and greatest prices divided by 7
the sum of the prices divided by 7
Mark this and retum
Save and Exit
Next
Submit
I need to now this also thx for y’all help
Answer:
D ) the sum of the prices divided by seven
Step-by-step explanation:
The list below shows the prices of T-shirts at a clothing store.
{8, 10, 10, 12, 15, 15, 18}
( 8 + 10 + 10 + 12 + 15 + 15 + 18 ) ÷ 7
Which statement best describes the mean of this set?
D) the sum of the prices divided by 7
2021please mark brainliest
The statement best describes the mean of this set is the sum of the prices divided by 7.
What is Mean?Mean of a set of data is defined as the average of all the values. It gives the exact middle point of the data set.
Mean of a set of data can be found by adding all the values of the data set and by dividing by the total number of values in the data set.
Given data set is the prices of T-shirts at a clothing store.
{8, 10, 10, 12, 15, 15, 18}
Mean of the data set = Sum of the prices/ Total number of values
Sum of the prices = 8 + 10 + 10 + 12 + 15 + 15 + 18 = 88
Total number of value in the set = 7
Mean = 88 / 7 = 12.574
Hence the mean can be found by adding up all the prices divided by 7.
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What is a description of an undefined term?
Answer:
In Geometry, we have several undefined terms: point, line and plane. From these three undefined terms, all other terms in Geometry can be defined. In Geometry, we define a point as a location and no size. ... And the third undefined term is the line.
Step-by-step explanation:
How would you describe the translation from f(x)=x2 to f(x)=x2+5 ?
Answer:
5 units up
Step-by-step explanation:
Adding 5 to the y-value of an (x, y) coordinate moves it up 5 units.
f(x) = x^2 +5 is translated 5 units upward from f(x) = x^2.
The average cost of tuition plus room and board at small private liberal arts colleges is reported to be less than $18,500 per term. A financial administrator at one of the colleges believes that the average cost is higher. The administrator conducted a study using 150 small liberal arts colleges. It showed that the average cost per term is $18,200. The population standard deviation is known to be $1,400. Let α= 0.05. What are the null and alternative hypothesis for this study?
Answer:
The null and alternative hypothesis for this study are:
[tex]H_0: \mu=18500\\\\H_a:\mu< 18500[/tex]
The null hypothesis is rejected (P-value=0.004).
There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is less than $18,500 per term.
Step-by-step explanation:
This is a hypothesis test for the population mean.
The claim is that the average cost of tuition plus room and board at small private liberal arts colleges is less than $18,500 per term.
Then, the null and alternative hypothesis are:
[tex]H_0: \mu=18500\\\\H_a:\mu< 18500[/tex]
The significance level is 0.05.
The sample has a size n=150.
The sample mean is M=18200.
The standard deviation of the population is known and has a value of σ=1400.
We can calculate the standard error as:
[tex]\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{1400}{\sqrt{150}}=114.31[/tex]
Then, we can calculate the z-statistic as:
[tex]z=\dfrac{M-\mu}{\sigma_M}=\dfrac{18200-18500}{114.31}=\dfrac{-300}{114.31}=-2.624[/tex]
This test is a left-tailed test, so the P-value for this test is calculated as:
[tex]P-value=P(z<-2.624)=0.004[/tex]
As the P-value (0.004) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is less than $18,500 per term.
What is W in this equation, -12u+13=8w-3
Answer:
w = (-3/2)u + 2
Step-by-step explanation:
Since we don't know the value of u, we can only solve -12u+13=8w-3 for w in terms of u.
Adding 3 to both sides, we get -12u+13=8w-3 => -12u+16=8w, or
8w = -12u + 16
Reduce this by dividing all three terms by 8:
w = (-12/8)u + 2
... and then reduce the fraction: w = (-3/2)u + 2
What is the perimeter?
30 km
22 km
33 km
36 km
Answer:
121 km
Step-by-step explanation:
i added all the number together
What is (7p + 6) - (9p - 7)?
Answer:
-2p +13
Step-by-step explanation:
(7p + 6) - (9p - 7)
Distribute the minus sign
(7p + 6) - 9p + 7
Combine like terms
7p -9p +6 +7
-2p +13
Answer:
-2p + 13
Step-by-step explanation:
Distribute the -1 to (9p - 7):
7p + 6 - 9p + 7
Add like terms (7p and -9p, 6 and 7):
-2p + 13
A survey of 1,562 randomly selected adults showed that 522 of them have heard of a new electronic reader. The accompanying technology display results from a test of the claim that 35% of adults have heard of the new electronic reader. Use the normal distribution as an approximation to the binomial distribution, and assume a 0.05 significance level to complete parts (a) through (e). Is the test two-tailed, left-tailed, or right-tailed? Left-tailed test Two-tailed test Right tailed test What is the test statistic? (Round to two décimal places as needed.) What is the P-vahie?
Answer:
a) We want to test the claim that 35% of adults have heard of the new electronic reader, then the system of hypothesis are.:
Null hypothesis:[tex]p=0.35[/tex]
Alternative hypothesis:[tex]p \neq 0.35[/tex]
And is a two tailed test
b) [tex]z=\frac{0.334 -0.35}{\sqrt{\frac{0.35(1-0.35)}{1562}}}=-1.326[/tex]
c) [tex]p_v =2*P(z<-1.326)=0.184[/tex]
d) Null hypothesis:[tex]p=0.35[/tex]
e) Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.
Step-by-step explanation:
Information provided
n=1562 represent the random sample selected
X=522 represent the people who have heard of a new electronic reader
[tex]\hat p=\frac{522}{1562}=0.334[/tex] estimated proportion of people who have heard of a new electronic reader
[tex]p_o=0.35[/tex] is the value to verify
[tex]\alpha=0.05[/tex] represent the significance level
z would represent the statistic
[tex]p_v[/tex] represent the p value
Part a
We want to test the claim that 35% of adults have heard of the new electronic reader, then the system of hypothesis are.:
Null hypothesis:[tex]p=0.35[/tex]
Alternative hypothesis:[tex]p \neq 0.35[/tex]
And is a two tailed test
Part b
The statistic for this case is given :
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Replacing the info given we got:
[tex]z=\frac{0.334 -0.35}{\sqrt{\frac{0.35(1-0.35)}{1562}}}=-1.326[/tex]
Part c
We can calculate the p value using the laternative hypothesis with the following probability:
[tex]p_v =2*P(z<-1.326)=0.184[/tex]
Part d
The null hypothesis for this case would be:
Null hypothesis:[tex]p=0.35[/tex]
Part e
The best conclusion for this case would be:
Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.
