Answer:
v^2-10v+2
Step-by-step explanation:
(v^3-2v^2-78v+16) /(v+8)
Factor
(v+8)(v^2-10v+2)/(v+8)=v^2-10v+2
The systolic blood pressure (BP) of adults in the USA is nearly normally distributed with a mean of 117 and standard deviation of 17 . Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher. (a) Around what percentage of adults in the USA have stage 2 high blood pressure
Answer:
the percentage of adults have stage 2 high blood pressure is 0.0057
Step-by-step explanation:
The computation of the percentage of adults have stage 2 high blood pressure is shown below;
Given that
mean = 117
Standard deviation = 17
and, the sample is 160
Now based on the above information,
The percentage is
= (Sample - mean) ÷ (standard deviation)
= (160 - 117) ÷ (17)
= 2.529
p(z>2.53) = 0.0057
hence, the percentage of adults have stage 2 high blood pressure is 0.0057
PLEASE HELP FAST! 20 POINTS!!!
Answer:
27%
Step-by-step explanation:
3/11 = 0.27272727
so about 27%
a nursery owner buys 7 panes of glass to fix some damage to her greenhouse. The 7 panes cost $16.45. Unfortunately, she breaks 2 more panes while repairing the damage. What is the cost of another 2 panes of glass?
Answer:
It would be $ for 2 other planes of glass because if you take 7 divided by 7 to get 1 pane of glass you have to divide 16.45 by 7 to get how much it costs for 1 pane of glass. So for 1 pane of glass, it is $2.35 then lastly you can either add 2.35 and 2.35 to get $4.70 or take 2.35 times 2 to get your total. So it will cost $4.70 to get 2 panes of glass.
Step-by-step explanation:
Jose and Aubree are reading the same book. At the beginning of the month, Jose was on page 5 and Aubree was on page 25. Jose will read 14 pages per day and Aubree will read 10 pages per day. Let
J
J represent the page of the book that Jose is on at the end of
t
t days into the month, and let
A
A represent the page of the book that Aubree is on at the end of
t
t days into the month. Write an equation for each situation, in terms of
t
,
t, and determine what page Jose and Aubree will be on on the day they are both on the same page.
Answer:
Step-by-step explanation:
Let J(t) represent Juan's equation and A(t) represent Aubree's equation. If Juan starts this venture on page 5, even if he didn't read any more days at all, when t = 0, he would still have read those 5 pages. Because he reads 14 pages per day, then he reads 14t and t represents the number of days gone by. His equation then is
J(t) = 14t + 5
Likewise, for Aubree, even if she decides not to read any more past the original 25 pages she started with, she would still have read those 25 pages. Her equation then would be
A(t) = 10t + 25
We need to know how many days will go by before they are both on the same page, so set the equations equal to each other and solve for t:
14t + 5 = 10t + 25 and
4t = 20 so
t = 5
After 5 days they will have both read the same number of pages.
The average time it takes for a person to experience pain relief from aspirin is 25 minutes. A new ingredient is added to help speed up relief. You run an experiment to verify if the new product is better. You test out the new aspirin on 70 people. Those seventy people had a mean time of 24 minutes and 12 seconds with a standard deviation of 3 mins. Find the test statisic and p-value for your experiment.
Answer:
-2.23 ; 0.012874
Step-by-step explanation:
Given that :
Population mean (μ) = 25 minutes
Same mean (x) = 24min 12 seconds = 24.2 minutes
Standard deviation σ = 3
Sample size (n) = 70
Test statistic :
Using the relation :
Tstatistic = (x - m) / σ/sqrt(n)
Tstatistic = (24.2 - 25) / (3/sqrt(70)
Tstatistic = - 0.8 / 0.3585685
Tstatistic = - 2.2310939
= - 2.23
The P value can be obtained using a. P value Calculator :
P at α = 95% and test statistic = - 2.23
Hence, p = 0.012874 using calculator
Oleg and Anya drew these models to help them find the difference of 3/4 and 1/2.
Answer:
C
Step-by-step explanation:
Oleg is correct because the least common denominator of both is 4, so each must have 4 peices
A construction company is considering submitting bids for two contracts. It will cost the company \$10{,}000$10,000dollar sign, 10, comma, 000 to prepare and submit the bids, and if won, each bid would produce \$50{,}000$50,000dollar sign, 50, comma, 000 of income to the company. The company estimates that it has a 10\%10%10, percent chance of winning any given bid.
Here is the probability distribution of X=X=X, equals the number of bids the company wins, and M=M=M, equals the amount of money the company profits from the bids.
X=\# \text{ of bids won}X=# of bids wonX, equals, \#, start text, space, o, f, space, b, i, d, s, space, w, o, n, end text 000 111 222
M=\text{profit}M=profitM, equals, start text, p, r, o, f, i, t, end text -\$10{,}000−$10,000minus, dollar sign, 10, comma, 000 \$40{,}000$40,000dollar sign, 40, comma, 000 \$90{,}000$90,000dollar sign, 90, comma, 000
Probability 0.810.810, point, 81 0.180.180, point, 18 0.010.010, point, 01
Calculate the mean of MMM.
Answer:
0 dollars
=E(M)
=μ
M
=−$10,000(0.81)+$40,000(0.18)+$90,000(0.01)
=−8,100+7,200+900
=0
Answer:
0.2, as stated on Khan.
Step-by-step explanation:
Pay attention to the wording. There are two similar problems with wording, but the numbers are altered.
Yoko pays $19.60 for a pack of 4 towels. Find the unit price in dollars per towel. If necessary, round your answer to the nearest cent.
Brayden and his friends are driving across the US from New York to Los Angeles at a constant speed without stopping. When they have driven for 10 hours, they are 1700 miles away from Los Angeles. When they have driven for 15 hours, they are 1500 miles away from Los Angeles.a) Find a linear function that models the remaining distance, DD, to Los Angeles as a function of the amount of time, t, that Brayden and his friends have been driving.
Answer:
d=-40t+2100
Step-by-step explanation:
Let d be the distance between New York to Los Angeles and speed of driving is v miles/hour.
As when they have driven for 10 hours, they are 1700 miles away from Los Angeles, so the distance covered in 10 hours is d-1700 miles.
Similarly, the distance covered in 15 hours is d-1500 miles.
So, the distance covered in 5 hours = (d-1500)-(d-1700) =d-1500-d+1700=200 miles.
As speed = distance/time,
So the speed of driving, v=200/5=40 miles/hour
Let d (in miles) be the remaining distance at any time instant t (in hour) and the linear relation between d and t is
d=at+b ...(i)
where a and b are constants.
When they have driven for 10 hours, they are 1700 miles away from Los Angeles, so putting t=10 and d=1700 in the equation (i), we have
1700=10a+b
b=1700-10a...(ii)
Similarly, when they have driven for 15 hours, they are 1500 miles away from Los Angeles, so
1500=15a+b
1500=15a+1700-10a
1500-1700=5a
-200=5a
a= -200/5
a= -40
From equation (ii), we have
b=1700-10(-40)=1700+400=2100
From equation (i), the required equation is
d=-40t+2100
Hence the required linear function is d=-40t+2100.
Please help me thank you I appreciate it
Answer:35 degrees
Step-by-step explanation:
Answer:
angle KLN° + angle NLM° =180° ( l.p)
angle NLM°=180°-145°
angle NLM=35°
Help need it asap
8th grade math
Answer:
x = 7
Step-by-step explanation:
Given
2(2x + 1) = 30
4x + 2 = 30
4x = 30 - 2
4x = 28
x = 28/ 4
x = 7
Hope it helps :)❤
Answer:
x= 7
Step-by-step explanation:
2(2x+1) =30
2×2x+2×1=30
4x+2=30
4x=30-2
4x=28
x=28÷4
x=7
X= -2,-1,0,1
Y= 4,1,0,1
Answer:
12x + 3y = 15
Step-by-step explanation:
HELP ME WITH MY I-READY IM TRYING TO GET STUDENT OF THE MONTH PLZ HELP or it will get juicy
25 points
Answer: its four inches
Step-by-step explanation:
one green block is 1 inch and there is 4 green blocks meaning that it is four inches
Answer:
4 inches
Step-by-step explanation:
1. A windshield wiper blade is 18 in Long. Calculate the area covered by the blade as it rotates through an angle of 122 degrees. Use 3.14 for pi. Round your answer to the nearest Square inch.
2. A spray irrigation system waters a section of a farmer's field. If the water shoots a distance of 75, what is the area that is watered as the sprinkler of 80 degrees? Use 3.14 for pi. Round your answer to the nearest square foot.
1. Area of a circle is pi x R^2
Area = 3.14 x 18^2
Area = 3.14 x 324= 1017.36 sq. In.
The blade covers 122 out of 360 degrees.
1017.36 x 122/360 = 345 square inches.
2.
Like above.
Area =3.14 x 75^2 = 17,662.5 square feet
17662.5 x 80/360 = 3,925 square feet.
What is the scale factor? please explain
Answer:
The scale factor is just the ratio like 3/15
little traingle/big triangle
Step-by-step explanation:
I need help! Whoever answers get brainlist. Please write a step by step so I know how to do it next time.
Answer: 8/3
Step-by-step explanation:
So first what you do is you have to add the whole number to the numerator and you do that by multiplying the whole number by the deniminator which is 6. Now you add the 6 to the numerator which is 8, so you get 8/3.
Sorry this got so complicated. Hope this helped!
At a zoo in a butterfly enclosure, 5 drops of nectar is sufficient for 2 butterflies. How many butterflies could be fed with 59 drops of nectar?
Answer:
111 can i get brailyist for replying so fast.
Answer:
23
Step-by-step explanation:
[tex] \frac{2}{5} \times \frac{x}{59} [/tex]
the number of drops of nectar goes on the bottom, and the number of butterflies goes on the top
then you cross multiply to get 5x= 118
solve for × and you get 23.6
for this situation, 0.6 of a butterfly doesn't make sense, so we need to round down.
we round down because it's okay if there's extra nectar, but there can't be less than enough.
you can be 23 butterflies with 59 drops of nectar
Find x?
In 3x - In(x - 4) = ln(2x - 1) +ln3
Answer:
[tex]x = \displaystyle \frac{5 + \sqrt{17}}{2}[/tex].
Step-by-step explanation:
Because [tex]3\, x[/tex] is found in the input to a logarithm function in the original equation, it must be true that [tex]3\, x > 0[/tex]. Therefore, [tex]x > 0[/tex].
Similarly, because [tex](x - 4)[/tex] and [tex](2\, x - 1)[/tex] are two other inputs to the logarithm function in the original equation, they should also be positive. Therefore, [tex]x > 4[/tex].
Let [tex]a[/tex] and [tex]b[/tex] represent two positive numbers (that is: [tex]a > 0[/tex] and [tex]b > 0[/tex].) The following are two properties of logarithm:
[tex]\displaystyle \ln (a) + \ln(b) = \ln\left(a \cdot b\right)[/tex].
[tex]\displaystyle \ln (a) - \ln(b) = \ln\left(\frac{a}{b}\right)[/tex].
Apply these two properties to rewrite the original equation.
Left-hand side of this equation:
[tex]\begin{aligned}&\ln(3\, x) - \ln(x - 4)= \ln\left(\frac{3\, x}{x -4}\right)\end{aligned}[/tex]
Right-hand side of this equation:
[tex]\ln(2\, x- 1) + \ln(3) = \ln\left(3 \left(2\, x - 1\right)\right)[/tex].
Equate these two expressions:
[tex]\begin{aligned}\ln\left(\frac{3\, x}{x -4}\right) = \ln(3(2\, x - 1))\end{aligned}[/tex].
The natural logarithm function [tex]\ln[/tex] is one-to-one for all positive inputs. Therefore, for the equality [tex]\begin{aligned}\ln\left(\frac{3\, x}{x -4}\right) = \ln(3(2\, x - 1))\end{aligned}[/tex] to hold, the two inputs to the logarithm function have to be equal and positive. That is:
[tex]\displaystyle \frac{3\ x}{x - 4} = 3\, (2\, x - 1)[/tex].
Simplify and solve this equation for [tex]x[/tex]:
[tex]x^2 - 5\, x + 2 = 0[/tex].
There are two real (but not rational) solutions to this quadratic equation: [tex]\displaystyle \frac{5 + \sqrt{17}}{2}[/tex] and [tex]\displaystyle \frac{5 - \sqrt{17}}{2}[/tex].
However, the second solution, [tex]\displaystyle \frac{5 - \sqrt{17}}{2}[/tex], is not suitable. The reason is that if [tex]x = \displaystyle \frac{5 - \sqrt{17}}{2}[/tex], then [tex](x - 4)[/tex], one of the inputs to the logarithm function in the original equation, would be smaller than zero. That is not acceptable because the inputs to logarithm functions should be greater than zero.
The only solution that satisfies the requirements would be [tex]\displaystyle \frac{5 + \sqrt{17}}{2}[/tex].
Therefore, [tex]x = \displaystyle \frac{5 + \sqrt{17}}{2}[/tex].
evaluate the expression 2b ^3+5 when b=3
Answer:
59
Step-by-step explanation:
b^3 is 27
2(27) is 54
54+5 is 59
if u mean (2b)^3 then 2b is 6
6^3 is 216
plus 5 is 221
Answer: It is 59 For part 2 But for part 1 it is 3
Step-by-step explanation:
how much water is left in Shelby‘s original container?
Find the surface area
Answer:
the surface area is 25ft!
add 8 and 17 that both angles are related towards the sum of the surface
Step-by-step explanation:
Hopefully this helped! And if u get the chance go to https://brainly.com/question/19887114
and rate the drawing! :)
In a recent survey of 1002 people, 701 said that they voted in a recent presidential election. Voting records show that 61% of eligible voters actually did vote. a) Find the 95% confidence interval estimate of the proportion of people who say that they voted.
Answer:
The 95% confidence interval estimate of the proportion of people who say that they voted
(0.67122 , 0.72798)
Step-by-step explanation:
Step(i):-
In a recent survey of 1002 people, 701 said that they voted in a recent presidential election.
Sample proportion
[tex]p = \frac{x}{n} = \frac{701}{1002} = 0.6996[/tex]
Step(ii)
The 95% confidence interval estimate of the proportion of people who say that they voted
[tex](p^{-} - Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} } )[/tex]
[tex](0.6996 - 1.96\sqrt{\frac{0.6996(1-0.6996)}{1002} } , 0.6996 + 1.96 \sqrt{\frac{0.6996(1-0.6996)}{1002} } )[/tex]
(0.6996 - 1.96 X 0.01448 , 0.6996 + 1.96 X 0.01448)
(0.6996 - 0.02838 , 0.6996 + 0.02838)
(0.67122 , 0.72798)
Final answer:-
The 95% confidence interval estimate of the proportion of people who say that they voted
(0.67122 , 0.72798)
What is the remainder of 46 divided by 8?
Answer:
The remainder is 6 !
Step-by-step explanation:
The remainder of the equation A = 46 / 8 is r = 6
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the remainder of the equation be denoted as = r
Let the dividend number be = 46
Let the divisor number be = 8
Now , the equation is represented as = A
The value of A is given by
A = 46 / 8
Now , the remainder will be
5 x 8 = 40
Substituting the values in the equation , we get
Dividend - 40 = 6
Therefore , the remainder of the equation A is 6
Hence , The remainder of the equation A = 46 / 8 is r = 6
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
Can we have a happy conversation that will make my day? Im happy but I just wanna laugh (be kid friendly)
Answer:
Happy conversation
Step-by-step explanation:
Be happy. It's good for you.
Answer:
Yes sure want to be friends?
:)
HELP Will mark Brainliest!! Ignore if you don't know, Geometry problem: Point D is the incenter of triangleABC, if DE=x^2 and DF= 20-8x, find each of the following
Answer:
X=2
DG=4
Step-by-step explanation:
Answer:
X=2
DE=4
THE ANSWER IS UPPP
Christina sold raffle tickets at the school science fair. The pictograph
below shows how many tickets were bought by different types of people.
Number of Raffle
Tickets Bought
Women
Men
Girls
OC
Boys
Key:
= 5 tickets
What fraction of the total number of tickets was bought by girls?
1
5
A.
5
1
o
B.
4
O
2
C.
5
1
O
D.
2
Answer:
A. 1/5
Step-by-step explanation:
First off, ignore the "each one is five tickets" part, that's just there to confuse you. There are ten tickets total sold, of which two are sold to girls. You can express this as 2/10, which simplifies to 1/5.
Concerns about climate change and CO2 reduction have initiated the commercial production of blends of biodiesel (e.g., from renewable sources) and petrodiesel (from fossil fuel). Random samples of 48 blended fuels are tested in a lab to ascertain the bio/total carbon ratio. (a) If the true mean is .9050 with a standard deviation of 0.0100, within what interval will 90 percent of the sample means fall
Answer:
(0.9036, 0.9064)
Step-by-step explanation:
Given that:
True mean (m) = 0.9050
Standard deviation (s) = 0.0100
Sample size ( n) = 48
Interval for 90% of the sample mean :
Mean ± Error
Error = Zcritical * (standard deviation /sqrt(n))
Zcritical at 90% confidence interval = 1.64
Hence,
Error = 1.64 * (0.0100/sqrt(48)) = 0.0014433
Lower boundary = m - Error = (0.9050 - 0.0014433) = 0.9035567
Upper boundary = m + Error = (0.9050 + 0.0014433) = 0.9064433
(0.9036, 0.9064)
The length of a rectangle is 5.9 cm more than 3 times the width. If the perimeter of the rectangle is 57.4cm, what are it's dimensions.
Answer:
l = 23 cm and w = 5.7 cm
Step-by-step explanation:
Perimeter = twice the length plus twice the width
let w = width
let l = length
l = 5.9 + 3w
57.4 = 2(5.9 + 3w) + 2w
57.4 = 11.8 + 6w + 2w
57.4 = 11.8 + 8w
45.6 = 8w
w = 5.7
Substitute 5.7 for 'w' to get 'l':
l = 5.9 + 3(5.7)
l = 23
Use these abbreviations for the properties of real numbers, and complete the flow diagram.
C. for the commutative property of addition
Cx for the commutative property of multiplication
2
Suggest e
A. for the associative property of addition
A. for the associative property of multiplication
Answer:
c and a
Step-by-step explanation:
what's the rate of change and is it a linear function
Answer:
The rate of change is -4.5 and the relation of the table is a linear function
Step-by-step explanation:
Linear function.
A linear function can be identified because the rate of change is constant at every point of its domain.
The graph of a linear function is a straight line with a constant slope.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We'll show the relation shown in the table is a linear function. We'll calculate the slope for any random pair of points. For example, using (2,83) and (3,78.5):
[tex]\displaystyle m=\frac{78.5-83}{3-2}=-4.5[/tex]
Now for (7,60.5) and (14,29):
[tex]\displaystyle m=\frac{29-60.5}{14-7}=\frac{-31.5}{7}=-4.5[/tex]
Proceeding in a similar way with any pair of points, the slope will always result in the same value, thus the rate of change is -4.5 and the relation of the table is a linear function.