Answers
Answer:
10
Step-by-step explanation:
Related Questions
Can someone please help me?
Answers
Answer:
(x-1)^5 (x+1)
Step-by-step explanation:
2 (x-1)^5 + (x-1)^6
Factor out (x-1)^5
2 (x-1)^5 + (x-1)^5 (x-1)
(x-1)^5( 2 + x-1)
Combine like terms
(x-1)^5 (x+1)
Answer:
A
Step-by-step explanation:
factor out (x-1)^5 and you get (x-1)^5(2+x-1)
simplify that to get (x-1)^5(x+1)
If x^3 + 4x^2 - 16x + 24 is divided by x + 3, what is the value of the remainder?
A.-33
B.24
C.57
D.81
Answers
Answer:
24
Step-by-step explanation:
Answer:
the remainder is 81
Step-by-step explanation:
so , equate x +3 to 0 , as in x + 3 = 0 then x = -3
so now we know the value of x so just replace it in the expression to get the remainder
♡´･ᴗ･`♡
The health of employees is monitored by periodically weighing them in. A sample of 54 employees has a mean weight of 183.9 lb. Assuming that a is known to be 121.2 lb, use a 0.10 significance level to test the claim that the population mean of all such employees weights is less than 200 lb. Find:
a. Null Hypothesis.
b. Alternative Hypothesis
c. Test Statistic
d. P-value
Answers
The answers to all parts shown below.
What is Standard Deviation?A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
a) [tex]H_o[/tex]:[tex]\mu[/tex]≥ 200
[tex]H_a[/tex]: [tex]\mu[/tex]< 200
b) Mean = 183.9 and sample standard deviation = 121.2
c) Test statistic:
= (183.9-200)/[121.2/√(54)]
= -0.97611
d) Now,
= ([tex]t[/tex]<-0.97611 with degree of freedom = 53)
= (-10,-1,5036,53)
= 0.168968
Conclusion: Since the [tex]p-value[/tex] is less than 10% [tex]reject[/tex] [tex]H_0[/tex].
The test results support the claim.
Learn more about standard deviation here:
https://brainly.com/question/23907081
#SPJ7
find the domain and range of the function f(x) = x -|2 cos x|
Answers
The domain and range of the function f(x) = x -|2 cos x| includes all real numbers.
Domain and Range of a functionThe domain and range of a function simply refers to the set of all possible inputs and outputs of a function respectively.
On this note, the function, f(x) = x -|2 cos x| given has domain and range in the set of all real numbers....This follows from the fact that the function is linear.
Read more on domain and range of a function;
https://brainly.com/question/10197594
a Car has a 15 gallon gas tank . I f a car gets 32 miles per gallon and travels 384 miles . how much gas will be left in the tank?
Answers
Answer:
so you would actually multiply 32 x 15=480 then subtract 480 - 384= it would have 96 miles left. then divide 96/32= 3
so your answer would be 3 gallons left
Step-by-step explanation:
A coffee pot holds 5 1/2 quarts of coffee. How much is this in cups?
Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
Answers
Answer:
22 cups
Step-by-step explanation:
1 quart is 4 cups. So therfore 5 1/2 * 4 =22
Hope this helped :)
I will mark brainliest to whoever answers the question fast and correct.
The expression 2(1 + W) is used to calculate the perimeter of a rectangle, where l is length and w is width. If the length is 2/3 unit and the width is 1 3 unit, what is the perimeter of the rectangle in units? 2/3unit 1 unit 1 2/3unit 2unit
Answers
Answer:
the answer is a
Step-by-step explanation:
Use the graph to answer the questions.
1) write into vertex form.
2) identify the vertex, focus, and directrix.
Answers
Answer:
y = 2( x+5)^2 -4
Vertex (-5,-4)
directrix y = -33/8
focus (-5, -31/8)
Step-by-step explanation:
First identify the vertex, which is the minimum
Vertex = (-5,-4)
The vertex form is y = a( x-h)^2 + k
y = a( x- -5)^2 -4
y = a( x+5)^2 -4
We need to determine a
Substitute a point on the graph
(-3,4) is on the graph
4 = a( -3+5)^2 -4
4 = a( 2)^2 -4
4 = 4a -4
Add 4 to each side
8 = 4a
Divide by 4
8/4 = a
a=2
y = 2( x+5)^2 -4
To find the focus and directrix, write in standard form
4p(y-k)=(x-h)^2
y+4 = 2(x+5)^2
1/2 (y+4) = (x+5)^2
4p = 1/2
p = 1/8
The focal length is 1/8
Subtract this from the y coordinate to get the directrix
y = -4 -1/8
y = -32/8 - 1/8 = -33/8
Add this to the y coordinate to get the coordinate for the focus the x coordinate the same
(-5, -4+1/8)
(-5, -32/4+1/8)
(-5, -31/8)
estimate and measure liquid volume
Answers
Are all numbers that are divisible by 2 also divisible by 10
Answers
Answer:The Rule for 10: Numbers that are divisible by 10 need to be even and divisible by 5, because the prime factors of 10 are 5 and 2. Basically, this means that for a number to be divisible by 10, the last digit must be a 0. ... So this number is even and divisible by 5. That means that it is also divisible by 10
Step-by-step explanation:
7) Suppose that the amount of time it takes to process insurance claims is normally distributed with a mean of 12 weeks and a variance of 9 weeks. What is the probability that the next claim will be processed within
Answers
This question is incomplete, the complete question is;
Suppose that the amount of time it takes to process insurance claims is normally distributed with a mean of 12 weeks and a variance of 9 weeks. What is the probability that the next claim will be processed within; a) 10 weeks, b) 11 weeks, c) 12 weeks.
Answer:
a) the probability that the next claim will be processed within 10 weeks is 25.14%
b) the probability that the next claim will be processed within 11 weeks is 37.07%
c) the probability that the next claim will be processed within 12 weeks is 50.00%
Step-by-step explanation:
Given the data in the question;
mean 12 weeks
Variance = 9 weeks
Standard deviation SD = √Variance = √ 9 = 3 weeks.
Since, the amount of time it takes to process insurance claims is normally distributed.
z = ( x - mean ) / SD
where x is weeks of next claim.
a) 10 weeks
z = ( x - mean ) / SD
we substitute
z = ( 10 - 12 ) / 3
z = -2/3
z = -0.67
{ from standard normal distribution table }
value of z is 0.2514
Therefore, the probability that the next claim will be processed within 10 weeks is 25.14%
b) 11 weeks
z = ( x - mean ) / SD
we substitute
z = ( 11 - 12 ) / 3
z = -1/3
z = -0.33
{ from standard normal distribution table }
value of z is 0.3707
Therefore, the probability that the next claim will be processed within 11 weeks is 37.07%
c) 12 weeks
z = ( x - mean ) / SD
we substitute
z = ( 12 - 12 ) / 3
z = 0/3
z = 0.00
{ from standard normal distribution table }
value of z is 0.5000
Therefore, the probability that the next claim will be processed within 12 weeks is 50.00%
A medical researcher wants to estimate the difference in the proportions of women with high blood pressure for women who use oral contraceptives versus women who do not use oral contraceptives. In an observational study involving a sample of 700 women, the researcher finds that 0.16 (16%) of the 400 women who used oral contraceptives had high blood pressure, whereas only 0.11 (11%) of the 300 women who did not use oral contraceptives had high blood pressure.
Required:
a. What is the research question of interest for this study?
b. What is the population parameter in this study? What is the appropriate statistical notation for this parameter?
c. What is the value of the sample estimate (statistic) in this study?
d. What is the appropriate statistical notation for this estimate?
Answers
Answer:
1.) Difference between the proportion of women with high blood pressure who use oral contraceptive and those who don't use oral contraceptive.
2.)
Difference between the Total proportion of women with high blood pressure who use oral contraceptives, P1 and
Total proportion of women with high high blood pressure who don't use oral contraceptive, P2
P1 - P2
3.)
Difference between the proportion of the 700 women with high blood pressure who use oral contraceptives, Phat1 and
those who don't use oral contraceptive, Phat2
4.)
Phat1 - Phat 2
0.16 - 0.11 = 0.05
Step-by-step explanation:
1.
The question the research intends to answer is : " Difference between the proportion of women with high blood pressure who use oral contraceptive and those who don't use oral contraceptive."
Population parameter will be :
Difference between the Total proportion of women with high blood pressure who use oral contraceptives, P1 and
Total proportion of women with high high blood pressure who don't use oral contraceptive, P2
P1 - P2
3.)
Sample statistic:
Difference between the proportion of the 700 women with high blood pressure who use oral contraceptives, Phat1 and
those who don't use oral contraceptive, Phat2
Phat1 - Phat 2
What is the answer to this??
Answers
Answer:
C
Step-by-step explanation:
Which of the following describes a compound event?
A. Tossing 5 coins and getting 4 heads
B. Rolling 3 on a die
C. Tossing a coin and getting tails
D. Drawing the ten of diamonds from a deck of cards
Answers
Answer:
A. Tossing 5 coins and getting 4 heads
Step-by-step explanation:
Compound events may be described as events whose occurence has more than one possible outcome, that is the number of possible events is more than one. From the options given above, Rolling 3 on a die, this event has only one possible outcome, which is rolling 3 ; tossing a coin and getting tails also has one obe possible outcome. Drawing 10 diamonds from a deck also focuses on one event which is drwinh diamonds. However, tossing 5 coins and getting 4 heads involves that the 5th toss will be tail. This has more than one event and thus a compound event.
Answer: A.
Step-by-step explanation:
Tossing five coins and getting four heads is a compound event as the coins and cards are different
How many ways can six of the letters of the word palindrome be selected and written in a row where either the first two letters are PA(in order) or the last two letters are ME (in order)
Answers
There are 48 ways to select and arrange six letters from the word "palindrome".
Case 1: First two letters are "PA" (in order)
In this case, to select four letters from the remaining seven letters of the word "lindrome" and arrange them.
The order of the selected four letters is important.
So, the number of ways for this case is:
Number of ways = 4! = 24
Case 2: Last two letters are "ME" (in order)
Similarly, in this case, to select four letters from the remaining
seven letters of the word "palindr" and arrange them.
The number of ways for this case is also:
Number of ways = 4! = 24
Now, the total Number of ways
= Number of ways in Case 1 + Number of ways in Case 2
= 24 + 24
= 48
Therefore, there are 48 ways to select and arrange.
Learn more about Factorial here:
https://brainly.com/question/17312578
#SPJ6
There are 40 students in a class. 4 of them are absent, then find the
percent of present students.
Please help by writing down the steps as well.
Answers
Answer:
90%
Step-by-step explanation:
present students:40-4=36
36/40*100
=90%
Answer:
90% are present
Step-by-step explanation:
40-4=36
36 are present
36/40 = x/100
36x100=3600
3600/40=90
answer: 90/100 = 90%
HELPPP MEE PLEASEEE I DONT WANNA FAIL SUMMER SCHOOL NO FILES OR LINKS WOULD BE DEEPLY APPRECIATED
Answers
The values that divide a list of numbers into four groups are called _____.
Answers
Answer:
I think that the answer you're looking for is quartiles!
Step-by-step explanation:
They divide your data into four segments according to where the numbers fall on the number line.
Write an exponential equation using y a(b) that
represents the growth or decay of the situation.
A house was purchased for $160,000. The house has an
annual appreciation rate of 8%. Please write a let statement
and an equation that represents the house's value over time.
Answers
Answer:
[tex]y = 160000 * (1.08)^t[/tex]
Step-by-step explanation:
Given
[tex]a = 160000[/tex] --- initial
[tex]r =8\%[/tex] --- rate
Required
The function over time
The function is calculated as:
[tex]y = a(1 + r)^t[/tex]
So, we have:
[tex]y = 160000 * (1 + 8\%)^t[/tex]
Express percentage as decimal
[tex]y = 160000 * (1 + 0.08)^t[/tex]
[tex]y = 160000 * (1.08)^t[/tex]
The box plots represent the distances run by the players in a football match.
Team B
8.7 88 89 90 91 92 93 9.4 0.5 0.6 0.7 08 09 10.0 10.1 10.2 10.3 10.4
Distance run (km)
The players in Team A ran more consistent distances.
How do the box plots show this?
(Total 1 mark)
Answers
Answer:
Following are the response to the given question:
Step-by-step explanation:
Its scope, as well as the cross median range, could be established using the measurement for dispersal by looking at even a booth map. We simply search for the difference between the larger and lowest data value to define the range, and we make all the difference between the third quartile and first quarter for the disposing of products and services ranges.
Team A:
[tex]R=V_{max} -V_{min} \to R= 10.2 – 8.8 = 1.4 \\\\IQR = Q_3 - Q_1 = IQR = 9.09 - 9.5 = 0.4\\\\[/tex]
Team B:
[tex]R= 10.4 - 9.0 = 1.4\\\\IQR= 10.1 – 9.6 = 0.5[/tex]
Based on previous results, you see an equal range, but variation in the interquartile. Group B does have a greater confidence interval than Group A, therefore we can say it is far more consistent over group B distance. Group A is a different type.
Decide whether 4 is a solution of 9x - 6 = 7x
Answers
No, 4 is not a solution of [tex]9x - 6 = 7x[/tex].
Here's why:-
[tex]9x - 6 = 7x \\ ⇢ 9x - 7x = 6 \\ ⇢ 2x = 6 \\ ⇢ x = \frac{6}{2} \\ ⇢ x = 3[/tex]
Clearly, the value of [tex]x[/tex] is 3.
[tex]{ \bf{ \underbrace{To\:verify:}}}[/tex]
[tex]9x - 6 = 7x \\ ⇢ 9 \times 3 - 6 = 7 \times 3 \\ ⇢ 27 - 6 = 21 \\ ⇢ 21 = 21 \\ ⇢ L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Celia simplified the expression Negative 4 x (1 minus 3) minus (2 x + 2). She checked her work by letting x = 5 in both expressions. Her work for the original expression is shown below.
Negative 4 x (1 minus 3) minus (2 x + 2) = negative 4 (5) (1 minus 3) minus (2 (5) + 2) = negative 20 (negative 2) minus 12 = 40 minus 12 = 28.
Celia knows that the simplified expression should also equal 28 when x = 5. Which shows Celia’s simpllifed expression?
Answers
Answer:
-4x (1-3) - (2x + 2)
-4(5)(1-3) - (2(5) + 2)
-20(1-3) - (10 + 2)
-20(-2) - (12)
40 - (12)
28
Step-by-step explanation:
2x + 3 ≥ 6 illustrat in number line
Answers
Answer:
2x + 3 ≥ 6
2x + 3 - 3 ≥ 6 - 3
2x ≥ 3
2x ÷ 2 ≥ 3 ÷ 2
x ≥ 1.5
1
Select the correct answer
which set of numerical values represents the minimum lower quartile, median, upper quartile, and maximum, in that order, of the box plot of
this data set
51.51.53 53 54 55 55 56 58 58 58. 59.60
51.54 56 58 60
51.53 56 59 60
C 53 54 55.59.60
51.53.55. 58. 60
Answers
If the sun is 67° above the horizon, find the length of the shadow cast by a building 61 ft tall. Round your answer to the nearest tenth. (plz help I list brainlist)
Answers
Answer:
25.9 ft
Step-by-step explanation:
tan = opp/adj
tan67 = 61 / adj
adj = 61/tan67
use calculator
adj = 25.892963788785889
Rounded
25.9 ft
a home improvement store charges $20 to rent a small truck for 1 hour . Each additional hour costs $25 . There is also a fuel surcharge of $0.05 for each mile driven .How much will it cost to rent the truck for 4 hours if it is driven 30 miles
Answers
Answer:
It will cost $121.50
Step-by-step explanation:
C = 20 + 25h + .05m
Now plug in the hours and miles
C = 20 + 25(4) + .05(30)
C = 20 + 100 + 1.5
C = 121.50
The total cost rent the truck for 4 hours and 30 miles drive is $121.5.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Given that, a home improvement store charges $20 to rent a small truck for 1 hour.
Let the number of hours be h and the number of miles be m.
Now, total charge = 20+25h+0.05m
Here, h=4 and m=30
So, total charge = 20+25(4)+0.05(30)
= $121.5
Therefore, the total cost rent the truck for 4 hours and 30 miles drive is $121.5.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Convert 73% to a decimal *
Answers
Answer
0.73
Step-by-step explanation:
73% = 0.73 in decimal form. Percent means 'per 100'. So, 73% means 73 per 100 or simply 73/100.
Answer:
Step-by-step explanation:
73%
=73/100
=0.73
when u divide the percentage with hundred percentage sign will be removed.
Wilson and Brian are practicing for a swim meet. Last week, Wilson swam 400 meters on each day for three days. Brian swam 0.8 kilometers total for two days. Which boy swam farther last week and by how much?
Answers
Answer:
wilson swam farther by 0.4 km
Step-by-step explanation:
wilson swam 1.2km
brian swam 0.8km
1.2 - 0.8 = 0.4
Last year the division had total sales of 23,380,000 , operating income of 2,828,980, and invested assets of 10,000,000. Required : a. What is the division's profit margin ? b. What is the division's investment turnover? c. What is the division's return on investment (ROI) using DuPont formula? d. What is the residual income if investors require a minimum return of 20% ?
Answers
Answer:
The solution is given below
Step-by-step explanation:
The computation is shown below:
a. The profit margin is
= Operating income ÷ total sales
= $2,828,980 ÷ $23,380,000
= 12.1%
b. The investment turnover is
= Total sales ÷ total assets
= $23,380,000 ÷ $10,000,000
= 2.34
c. The return on investment is
= Profit margin × investment turnover
= 12.1% × 2.34
= 28.29%
d. The residual income is
= Operating income - (minimum rate of return × assets)
= $2,828,980 - (20% of $10,000,000)
= $828,980
Find the volume of the rectangular prism below.
Answers
Answer:
I have two but im unsure
without fractioned to pie it is
1568
but with the [tex]\pi[/tex] fraction it is
499.11
Step-by-step explanation: