Step-by-step explanation:
120 times 0.20= $24
120-24= $96
the product of two positive integers is 490 if the first integer is 7 greater than twice the second integer, what is the smaller of the two integers
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Answer: The second integer is smaller
x = 161
Explanation:
2x + 7 + x= 490
3x + 7 = 490
x = 161
I hope this helped!
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Ashton bought 5 cans of olive oil. Each can had a radius of 3.2 inches and was 15 inches tall. Find the total cubic inches of olive oil Ashton had.
Step-by-step explanation:
A can is a cylinder.
Volume of a can = Volume of Cylinder
[tex] = \pi {r}^{2} h[/tex]
Given Radius = 3.2 inches and height = 15 inches,
Volume of one olive oil can =
[tex]\pi( {3.2}^{2} )(15) \\ = 153.6\pi {in}^{3} [/tex]
Volume of 5 olive oil cans = 5 x volume of one olive can
[tex] = 5 \times 153.6\pi \\ = 768\pi {in}^{3} [/tex]
I will just leave the answer in terms of pi as I'm not sure if you need to round off your answers.
Please help me with this question! and tysm!
Answer:
272
Step-by-step explanation:
u do 68*4 because it said 4 times as henery
Hope this helps
Answer:
272
Step-by-step explanation:
4 times 68 = 272
For a triangle to be classified as equilateral, what must all three angles measure? Do not include the degree symbol in your
answer.
Answer:
I think the answer is 60.
3.1.8 When conducting a two-sided test of significance, the value of the parameter under the null hypothesis is plausible and will be contained in a 95% confidence interval when: a. The p-value is less than or equal to 0.05. b. The p-value is greater than 0.05. c. There is no relationship between the p-value and the confidence interval.
Answer:
b. The p-value is greater than 0.05.
Step-by-step explanation:
When we are testing a hypothesis, we have to look at the pvalue.
If the pvalue is less than the significance level, the null hypothesis is not plausible. Otherwise, if the pvalue is more than the significance level, the null hypothesis is plausible.
In this question:
95% means that the significance level is of 1 - 0.95 = 0.05.
Null hypothesis being plausible means that the pvalue is greater than the significance level, that is, greater than 0.05. So the correct answer is given by option b.
c) Share £160 in the ratio 1:9
(2)
Answer £
and £
Answer:
£16:£144
Step-by-step explanation:
1+9=10
160/10=16
1×16=16
9×16=£144
Answer:
16£ and 114£
Step-by-step explanation:
add the ratios
1 + 9 = 10
for the first ratio
(1/10) × 160
= 16£
for the second ratio
(9/10) × 160
= 114£
The National Survey on Drug Use and Health also reported that 21% of males in the same age group (12-20) are binge drinkers. Suppose that in addition to the 10 randomly chosen females, a random sample 10 males from the same age group is chosen (to a total of 20). Let the random variable Y be the total number of males and females (out of 20) who are binge drinkers. Which of the following is true regarding the random variable Y?
a. Y has a binomial distribution with n-60 and p.16
b. Y does not have a binomial distribution since p, the probability of being a binge drinker, is not the same for all the trials.
c. Y has a binomial distribution with n-60 and p .31
d. Y does not have a binomial distribution since the number of trials n is not fixed.
e. Y does not have a binomial distribution since the trials are not independent.
Answer:
Y does not have a binomial distribution since p, the probability of being a binge drinker, is not the same for all the trials.
Step-by-step explanation:
For a binomial distribution, condition required include :
A fixed number of trials ; Here the number of trials is 20 ; hence, this condition is met.
Each trial must be independent : yes, it is independent as a selected individual could either be a binge drinker or not. The outcome of each trial is either a success or a failure ; being a drinker or not.
However, the probability of being a binge drinker (that is probability of success) could vary for male and female. The probability of male being a binge drinker is 0.21 while that if female isn't specified, this probability, p value should be the same for all trials. Hence, with this value not being the same for all trials, the binomial probability condition is violated.
Which equation has a slope of -1 and an x-intercept of (2,0)
Answer:
A (x+y=2)
Step-by-step explanation:
in order to see the slope value and to turn the equation into the slope-intercept form (y=mx+b). Basically we just solve for y and look at the coefficient of x. Then to see the value of the x-intercept we need to give y zero and then solve for x.
a) x+y=2
y=-x+2 (slope is -1)
when y=0 ; 0=-x+2 ; x=2 (x-int=2)
b) x-y=-2
y=x+2 (slope≠-1, it is +1 so this not the answer)
c) x+y=-2
y=-x-2 (slope is -1)
when y=0 ; 0=-x-2 ; x=-2 (x-int≠2 it is -2 so this not the answer)
d) x-y=2
y=x-2 (slope≠-1, it is +1 so this not the answer)
the answer is A (x+y=2)
Answer:
x + y = 2.
Step-by-step explanation:
Using the standard form
y = mx + b
the equation is
y = -1x + b
Now as the x intercept is (2, 0), x = 2 when y = 0 so:
0 = -1(2) + b
2 = b
b = 2
so we have
y = -x + 2
y + x = 2.
(1 point) Find a formula for the nth term in the sequence: 17,−17/8,17/27,−17/64,17/125,…
Given:
The sequence is:
[tex]17,-\dfrac{17}{8},\dfrac{17}{27},-\dfrac{17}{64},\dfrac{17}{125},...[/tex]
To find:
The formula for the nth term in the given sequence.
Solution:
We have,
[tex]17,-\dfrac{17}{8},\dfrac{17}{27},-\dfrac{17}{64},\dfrac{17}{125},...[/tex]
The given sequence can be written as
[tex]\dfrac{17}{1^3},-\dfrac{17}{2^3},\dfrac{17}{3^3},-\dfrac{17}{4^3},\dfrac{17}{5^3},...[/tex]
The sign are alternative and the absolute value of each term can be defined by the expression [tex]\dfrac{17}{n^3}[/tex], where n is a natural number.
So, the required formula is:
[tex]a_n=(-1)^{n+1}\dfrac{17}{n^3}[/tex]
Therefore, the formula for nth term in the given sequence is [tex]a_n=(-1)^{n+1}\dfrac{17}{n^3}[/tex].
50 POINTS
ASAP ANSWER
Find the surface area of the triangular prism. The base of the prism is an isosceles triangle.
Answer:
l7l000heb java sis Skye eleven die die e she ie e right r
Step-by-step explanation:
hdhsv sjsuebso issue s s9s s si
Answer:
5520
Step-by-step explanation:
18×40÷2=360
48×41=1968
48×18=864
360+360+1968+1968+864=5520
A rectangular shoebox is 15 1⁄2 inches long, 7 inches wide, and 4 1⁄2 inches tall. What is the volume of the shoebox?
Answer:
Step-by-step explanation:
V = l * w * h for a rectangular prism
15.5*7*4.5=488.25
2. Jason can put his money in a savings account and earn about 12 cents in interest this month, or he can
loan it to Matt, who says he'll return the money plus $20 at the end of the month. He loans it to Matt.
a. The opportunity cost is
Answer:
12 cents
Step-by-step explanation:
opportunity cost of the next best option forgone when one alternative is chosen over other alternatives
by loaning matt the money he forgoes the opportunity to earn 12 cents in interest. this is his opportunity cost
What is the solution to the equation 2x+4-12-20?
X=0
x=1
X=2
X=9
Answer:
C : x=2
Step-by-step explanation:
Edge 2022
Change the following expression to an equivalent expression in exponential form
Answer:
12^4/5
Step-by-step explanation:
When doing this you put the number the base is raised to on top of the fraction and the root number on the bottom
which of the following expression does not include a variable
a. 2x+3
b. 5x+4
c. 5-7x
d. 7x20-5
Answer:
d
Step-by-step explanation:
Can somebody help me
Please help if u know
Answer:
not sure but i think the answer is a)
Simplify the following expressions and remember to pay attention to the signs
( -14) - ( -53) =
(18) - ( -2) =
( -84) / ( 12) =
(25) * (2) =
Answer:
(-14)-(-53) = 39
18-(-2)=20
(-84)/(12)=-7
25*2=50
Step-by-step explanation:
two minuses are plus
when numbers are on the minuses which number is higher their sign will have an answer
Answer:
A. 39
B. 20
C. -7
D. 50
Step-by-step explanation:
A. ( -14) - ( -53) =
53 - 14 = 39
B. (18) - ( -2) =
18 + 2 = 20
C. ( -84) / ( 12) =
-84/12 = -7
D. (25) * (2) =
25(2) = 50
what is the next number of 1 2 6 17 47 ?
and how?!
2 , 6 , 17 , 47 , 108 , ...
t(n) = 2n^3 - 8.5n^2 + 15.5n - 7
The Next term of sequence is 2n³ - 8.5n²+ 15.5n - 7.
What is Sequence?A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. Similar to a set, it has members (also called elements, or terms). The length of the series is the number of elements (potentially infinite).
Given:
Sequence:1 2 6 17 47
By looking at the sequence we have the formula
t(n) = 2n³ - 8.5n²+ 15.5n - 7
So, the next term of Sequence would be
t(6)= 2(6)³ - 8.5(6)²+ 15.5(6) - 7
t(6) = 108
Hence, the next term is 108.
Learn more about Sequence here:
https://brainly.com/question/21961097
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Point B is a point of tangency. Find the radius r of OC.
А 9
B
r
n
Answer:
Radius, r, is 3.75
Step-by-step explanation:
From the given diagram,
AB = 9
AC = 6 + r
BC = r
Thus applying the Pythagoras theorem, we have;
[tex]/AC/^{2}[/tex] = [tex]/AB/^{2}[/tex] + [tex]/BC/^{2}[/tex]
[tex](6 + r)^{2}[/tex] = [tex]9^{2}[/tex] + [tex]r^{2}[/tex]
36 + 12r + [tex]r^{2}[/tex] = 81 + [tex]r^{2}[/tex]
collecting like terms,
12r = 81 - 36
12r = 45
r = [tex]\frac{25}{12}[/tex]
= 3.75
r = 3.75
The radius is 3.75.
Saba spent 2/3 of the pay from her Saturday job, on clothes.
She spent 1/6 in an internet café.
(i) What fraction did she spend in all? ( in simplest form)
(ii) What fraction is left with her?
Answer: (i) 5/6
(ii) 1/6
Step-by-step explanation:
Her money spent in clothes = 2/3
her money spent in internet cafe = 1/6
total fraction spent =
2/3 + 1/6
= 4+1/6
= 5/6
fraction left with her =
1 - (5/6)
= 1/6
8116 / 283 pls give me a good answer for this
Answer:
28 r 192
Step-by-step explanation:
8,116/283=28 r 192
283 times 28=7,924
8,116-7,924
i hope this help some
1. Joshua has a ladder that is 12 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 11.8 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 75°. Will the ladder be safe at this height? Show your work and draw a diagram to support your answer.
Answer:
So we'll use trig to solve this because it's a right triangle. The hypotenuse is the ladder (h) and the two smaller sides are the ground and the vertical wall (w).
That angle ladder makes with the ground = €
SOH: sin € = opposite/hypotenuse
No the ladder won't be safe!!!
Now let's make it safe:
The ladder's length (w) is constant, so stays 12
So now let's ask in an inequality what height will be safe (75° or less)
what does that mean?? well as long as you put the ladder against the wall so that the height from ground to top of the ladder is < 11.6 ft!!
Hope that helps! :-D
Step-by-step explanation:
Answer:
not safe it is 78.5 degrees
Step-by-step explanation:
Solve the application problem. Ricky used a square piece of fabric to make a banner for a pep rally. The length of each side of the fabric was 4 feet. Find the perimeter of the piece of the piece of fabric. 18 feet 16. feet 9 feet 204 feet
Answer:
16 ft.)
Step-by-step explanation:
You would first do 4 x 4 since there is 4 sides, which would give you 16
hope you have a good day!
PLEASE HELP !! ILL GIVE BRAINLIEST !!
I need help please!!!
Answer: 15a+8b
Step-by-step explanation:
Answer:
15a + 8b
you multiply 2 by the numbers in the parantasis so our new equasion will be 10a + 6b +5a +2b. You can only add numbers that have THE SAME VARIABLE. So 10a+5a=15a and 6b+2b=8b so our answer is 15a+8b
you deposit $1600 in a bank account. find the balance after 3 years if the account pays 1.75% annual interest compounded quarterly
9514 1404 393
Answer:
$1686.05
Step-by-step explanation:
The amount with compound interest is ...
A = P(1 +r/n)^(nt)
for principal P earning annual rate r compounded n times per year for t years.
A = $1600(1 +0.0175/4)^(4·3) = $1686.05
The balance after 3 years is $1686.05.
Answer:
the answer is $1686.05
Step-by-step explanation:
:))
Calculate the Area of the Following Parallelogram. Round your answer to the
nearest hundredth.
Answer: (b)- 41.57
Step-by-step explanation:
Given
Dimension of Parallelogram is
[tex]\text{base b=8\ units}[/tex]
[tex]\text{length l=6 units}[/tex]
The area of a parallelogram is given by
[tex]\Rightarrow A=b\times h[/tex]
we need height for the area
From the figure, we can write
[tex]\Rightarrow \cos 30^{\circ}=\dfrac{AB}{6}\\\\\Rightarrow AB=6\cos 30^{\circ}=5.196[/tex]
and AB is the height of the parallelogram
[tex]\Rightarrow A=8\times 5.196=41.569\approx 41.57[/tex]
HELP ME QUICK PLSSS (BTW DUE TODAY!)
Answer:
Part A: He can use distance formula. The formula is: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
Part B: 41.63 (rounded to nearest hundredth)
Step-by-step explanation:
Plug this into the formula. First, subtract the numbers in the parentheses. Then, square them. Add those totals together. Lastly, take the square root using a calculator.