Answer:
120
Step-by-step explanation:
Since you have to find volume you have to multiply all the numbers.
So, 4*5*6 = 120
Answer:
120cm2
Step-by-step explanation:
Volume= length times width times the height. So.. 6×5×4= 120cm2 (btw the 2 means squared)
10 ft 8 ft Find the area of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate pie
Answer:
10ft · (8ft) = 80 [tex]f^ {2} t^{2}[/tex]
3.14 = 80 [tex]f^{2} t^{2}[/tex]
Step-by-step explanation:
prove that the points A(1 , -1 ) B(5, 2) C(9, 5) are collinear.
Answer:
AB= [tex]\sqrt(5-1)^2 +(2+1)^2 = \sqrt16+9 =5[/tex]
BC= [tex]\sqrt(5-9)^2 + (2-5)^2 = \sqrt16+9=5[/tex]
AC = [tex]\sqrt(1-9)^2 + (-1-5)^2 = \sqrt64+36 = 10[/tex]
So, AC = AB + BC
A, B, C are collinear points
Step-by-step explanation:
I hope this helps!
Tyler sold a total of $115,000 of exercise equipment last month. If his commission is 6.5% of sales, how much commission did he earn?
A.
$2,342
B.
$7,475
C.
$12,719
D.
$115,065
Answer:
B
Step-by-step explanation:
Do 115000/100x6.5 You get 7.475k
An inflatable pool has sprung a leak. You place a 12-ounce cup under the leak and find that it fills
up in 50 seconds. How many gallons per hour is the swimming pool losing?
Answer:
6.75 gallons lost in 1 hour.
Step-by-step explanation:
1 US gallon = 128 ounces.
12 ounces takes 50 seconds.
x ounces takes 3600 seconds (which is 1 hour) Cross multiply
12 * 3600 = 50 x
43200 = 50 x Divide by 50
43200 / 50 = x
864 oz = x
So in 1 hour 864 ounces were lost.
Now there are 128 ounces in a gallon
1 gallon /128 ounces = x / 864 Cross multiply
864 * 1 / 128 = x
6.75 = x
There are 6.75 gallons in 1 hour
Please help me!! I don’t understand!!!
Answer:
Ask your John Brown teacher!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Find the area of each parallelogram
Please help with these thank you
7.2x14.3 what is that?
Answer:
102.96
Step-by-step explanation:
Answer:
[tex]102.96[/tex]
Step-by-step explanation:
7 . 2
× 14 . 3
___________
²2 . 16
²28 . 80
72 . 00
____________
¹1¹02.96
Therefor, the answer is 102.96
An organization purchases 10 computers from a manufacturer with lifetimes modeled as exponential variables (mean of 5 years). What is the probability that at least 6 computers are functioning beyond 6 years
Answer:
0.0482 = 4.82% probability that at least 6 computers are functioning beyond 6 years
Step-by-step explanation:
For each computer, there are only two possible outcomes. Either it works beyond 6 years, or it does not. The probability of a computer working beyong 6 years is independent of any other computes. This means that the binomial probability distribution is used to solve this question.
As the lifetime of a computer is an exponential variable, the probability of a computer working beyond 6 years is found using the exponential distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
Probability of a computer working beyong 6 years:
Mean of 5 years means that [tex]m = 5, \mu = \frac{1}{5} = 0.2[/tex]
The probability is:
[tex]P(X > 6) = e^{-0.2*6} = 0.3012[/tex]
What is the probability that at least 6 computers are functioning beyond 6 years?
10 computers means that [tex]n = 10[/tex]
0.3012 probability of a computer working beyond 6 years means that [tex]p = 0.3012[/tex]
This probability is:
[tex]P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 6) = C_{10,6}.(0.3012)^{6}.(0.6988)^{4} = 0.0374[/tex]
[tex]P(X = 7) = C_{10,7}.(0.3012)^{7}.(0.6988)^{3} = 0.0092[/tex]
[tex]P(X = 8) = C_{10,8}.(0.3012)^{8}.(0.6988)^{2} = 0.0015[/tex]
[tex]P(X = 9) = C_{10,9}.(0.3012)^{9}.(0.6988)^{1} = 0.0001[/tex]
[tex]P(X = 10) = C_{10,10}.(0.3012)^{10}.(0.6988)^{0} \approx 0[/tex]
[tex]P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0374 + 0.0092 + 0.0015 + 0.0001 + 0 = 0.0482[/tex]
0.0482 = 4.82% probability that at least 6 computers are functioning beyond 6 years
89.5, 71, 75, 76, 74, 87, 89, 71, 85
mode = ?
Answer:
mode of this question is 71
Answer:
71
Step-by-step explanation:
because mode is the number that occurs most frequently
One day, a group of people had a driving test.
40 of this group were men and the rest were women.
5/3 of the men and
3/2 of the women passed the driving test.
The number of men and women that passed the driving test was the same.
Work out the number of women that took the driving test that day.
Please some help would be greatly appreciated with this question as it is imperative to me that i solve it
thanks
Answer:
every other night another $1 getting made
Step-by-step explanation:
Answer:
eeeeeeeeeeee nose
Step-by-step explanation:
3. Two squares were used to form the following figure. What is the area of the shaded region?
A 24 m2
B 64 m2
C132 m2
D 196 m²
PLEASE HURRY
there are 4 roses for every 7 carnations in a bouqeuet. Mr rodriguez buys a bouqeuet with 12 roses in it. How many total flowers are in the bouqeuet Mr rodriguez bought?
Please explain
Answer:
Step-by-step explanation:
there is a 4 to 7 ratio in the first situation.
so if there is (4*3) the it would be (7*3) so it would be 21 carnations
this gives 12+21 for a total of 33 flowers.
the ratio is 4/7 so you could also go (4/7)(12) and then add that to the original 12 in the boqouet in order to get the same answer. Hope this helps!
If a dog eats 1/4 pound of food each day, how many days will it take the dog to eat a 5 pound bag of food?
Answer:
20 days
Step-by-step explanation:
0.25 pound of food is eaten in 1 day
1 pound of food is eaten in 1 / 0.25
5 pound of food is eaten in 5/0.25 = 20 days
Rewrite by completing the square f(x) = x2 - 6x +43
Answer:
f(x) = (x - 3)^2 + 34
Step-by-step explanation:
Pls help! ASAP! I will mark Brainliest! If you give me a file or guess I will report you!
Answer:
the second and last one
....................
In triangle ABC, m∠A=(2x+2)∘, m∠C=54∘, and the exterior angle at B is (4x)∘.
Triangle A B C. Angle A is 2 X plus 2 degrees, angle C is 54 degrees, & the exterior angle at B is 4 X degrees.
What is the measure of angle A?
58∘
112∘
28∘
68∘
Answer:
58°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the two remote interior angles.
m∠A + m∠C = measure of exterior angle at B
2x + 2 + 54 = 4x
2x + 56 = 4x
2x = 56
x = 28
m∠A = 2x + 2 = 2(28) + 2 = 56 + 2 = 58°
Answer:
A
Step-by-step explanation:
Remark
<A + <C = the exterior angle.
Two remote interior angles = the exterior angle that neither connects to.
Remote means that the angles do not share any line in common with the remote angle. One of them might share a line extended with the exterior angle.
Equation
<A + <C = Remote angle connected to the supplement of B
Givens
m<A = 2x + 2
m<C = 54
Remote angle = 4x
Solution
2x + 2 + 54 = 4x Combine like terms on the left
2x + 56 = 4x Subtract 2x from both sides
56 = 4x - 2x
2x = 56 Divide by 2
x = 56/2
x = 28
Answer
<A = 2x + 2
<A = 2*28 + 2
<A = 56 + 2
<A = 58
A 25 foot ladder leans against a house. How far is the foot if the ladder from base if the building if the top of the ladder is 20 feet from the ground?
Answer:
C
Step-by-step explanation:
x^2 + 20^2 = 25^2
x^2 + 400 625
x^2 = 225
x = 15
PLEASE HELP. NO LINKS OR U WILL BE REPORTED MAKE SURE U ARE RIGHT I WILL GIVE BRAINLY THING
Answer:
The answer is B to your question
hey guys i'm having a rough night and i can't figure out my homework rn i'm just too stress please help
Answer:
4a) Irrational
Step-by-step explanation:
The square root of 20 is irrational. There is no number that can multiplied by itself to equal 20.
For a better explanation, the square root of 25 is rational. 5 can be multipled two times to be equivalent to it. Meanwhile, 20 can't.
The cost, in dollars, of parking a car in a busy downtown area for h hours is $20 + $2h.
Which statement is correct?
Answer:
y= 20h + 2
its $20 times the hours for every 2 hours
PLZZZ HELP!!!!!!!!!1
What is the median and Q1 of the data set represented on the plot?
Median = 30; Q1 = 20
Median = 33; Q1 = 20
Median = 30; Q1 = 25
Median = 33; Q1 = 25
Answer:
i cant put the picture
Step-by-step explanation:
d. Median=33;Q1=25 the median is represented by the line in between the two boxes. Q1 is represented by the line on the far left of the box in the picture Q1 is marked for quadrent 1 and m is for median
Find the distance using the modulus of the difference between z1 = -8 + 3i and z2 = 7 - 4i.
Answer:
[tex]d = 16.55[/tex]
Step-by-step explanation:
Given
[tex]z_1 = -8 + 3i[/tex]
[tex]z_2 = 7 - 4i[/tex]
Required
The distance between them
First, calculate the difference (d) between z1 and z2
[tex]d = z_1 - z_2[/tex]
[tex]d = -8 + 3i - [7 - 4i][/tex]
Open bracket
[tex]d = -8 + 3i - 7 + 4i[/tex]
Collect like terms
[tex]d = -8 - 7+ 3i + 4i[/tex]
[tex]d = -15+ 7i[/tex]
Using modulus, we have:
[tex]d = \sqrt{R^2 + I^2}[/tex]
Where
R = Real Part = -15
I = Imaginary Part = 7
So, we have:
[tex]d = \sqrt{(-15)^2 + 7^2}[/tex]
[tex]d = \sqrt{225 + 49}[/tex]
[tex]d = \sqrt{274}[/tex]
[tex]d = 16.55[/tex]
Mark and eight of his friends went out to
eat. They decided to split the bill evenly.
Each person paid $9. What was the total
bill?
1
3
16
Which expression is equivalent to 3/64a6b7c9?
O zabo (V4a?b°c)
4a²b2c (VD
Baºbc* (V50
Ba?b%cº (PD)
Answer:
Step-by-step explanation:
The equivalent expression is,
⇒ 4a²b²c³ ∛b
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ ∛64a⁶b⁷c⁹
Now, We can simplify the expression as;
⇒ ∛64a⁶b⁷c⁹
⇒ ∛64a⁶b⁷c⁹
⇒ ∛4³ (a²)³ (b²)³ (b) (c³)³
⇒ 4a²b²c³ ∛b
Thus, The equivalent expression is,
⇒ 4a²b²c³ ∛b
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7
The lifetime of a certain type of calculators is normally distributed. If the mean is 400 hours and the standard deviation is 50 hours, for a group of 5000 batteries, how many are expected to last
1.between 350 hrs to 450 hours
2.more than 300 hours
3.less than 300 hours
Answer:
1. 3413
2. 4886
3. 114
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean is 400 hours and the standard deviation is 50 hours
This means that [tex]\mu = 400, \sigma = 50[/tex]
1. Between 350 and 450 hours:
The proportion is the pvlaue of Z when X = 450 subtracted by the pvalue of Z when X = 350.
X = 450:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{450 - 400}{50}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413.
X = 350:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{350 - 400}{50}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587.
0.8413 - 0.1587 = 0.6826
Out of 5000:
0.6826 out of 5000. So
0.6826*5000 = 3413
3413 are expected to last between 350 hours and 450 hours.
2.more than 300 hours
The proportion is one subtracted by the pvalue of Z when X = 300.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{300 - 400}{50}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
1 - 0.0228 = 0.9772
Out of 5000:
0.9772of 5000 is
0.9772*5000 = 4886
4886 are expected to last more than 300 hours.
3.less than 300 hours
4886 are expected to last more than 300 hours, so 5000 - 4886 = 114 are expected to last less than 300 hours.
Simplify the polynomial, then evaluate for x = 2 . x + 3x ^ 2 + 2x - 3 - 4x ^ 2 + 6
Answer:
-x^2+3x+3
Step-by-step explanation:
if the evaluated answer is correct (but my answer above is correct) it would be -4+6+3 then the answer would be 5 but I am not sure
Please help me with this real quick
Answer: 7.5 miles
Step-by-step explanation:
think of it as a triangle; the bold line is the hypotenuse, or x.
8 |\ x
|_\ it's not a good triangle but you get the point
6
and then get out pythagorean theorem: a^2+b^2=c^2
put the numbers in: 8^2 + 6^2 = x^2
do some math:
64+36=x^2
100=x^2 (and then find square root)
10=x
BUT, it said each unit was 3/4 of a mile, so we must multiply 10 by 3/4 to get the actual distance, which is 7.5
awnser plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answer:
x = 12, x = -4.
Step-by-step explanation:
x² - 8x - 48 = 0.
This factors to (x - 12)(x + 4) = 0.
Proof:
(x - 12)(x + 4) = 0
first: x * x
outer: 4 * x
inner: -12 * x
last: -48.
first: x²
outer: 4x
inner: -12x
last: -48
x² + 4x - 12x - 48
x² - 8x - 48.
To find the zeros, take the individual pairs and find the values that make the equation 0.
x - 12 = 0
Add 12 to both sides.
x = 12.
x + 4 = 0
Subtract 4 from both sides.
x = -4.
Answer:
x= 4 + 2√5, x = 4 - 2√5
Step-by-step explanation:
So this is quadratics so you can solve it by completing the square and using the quadratic formula. The quadratic formula is x = (-b±√(b²-4ac)) / (2a).
Solve the following equation for x. x^2 - 36 = 0
A. x=1 x=-36
B. x=-1 x=36
C. x=-6 x=6
D. x=-18 x=18
Answer:
The answer is C.x=6,x=-6
Step-by-step explanation:
Greetings!
x²-36=0x²-36+36=0+36.. add 36 both sidesx²=36... simplifyAn assumption
"In general, all equations of the form x² = a, where a is a positive number, will always give two solutions, namely x = - √a or x = √a."
Thus,
x= √ 36, x= - √ 36x=6, x=-6measure of each exterior angle of a regular 30-gon?
7. An exterior angle of a regular polygon measures 22.5°. How many sides does it have?
8. An interior
Answer:
I'm not sure would love to help but dont know the answer