What is the volume (in cubic units) of a cylinder with a radius of 3 units and a height of 12 units?
100 students are interviewed to see which of biology, chemistry or physics they prefer.
39 of the students are girls. 21 of the girls like biology best.
16 of the boys prefer physics.
11 out of the 34 who prefer chemistry are girls.
What percentage of the students prefer biology?
Answer:
43% of the students prefer biology
Step-by-step explanation:
Among girls:
39 of the students are girls.
21 of the girls like biology best.
Boys:
100 - 39 = 61 are boys.
16 prefer physics
11 out of the 34 who prefer chemistry are girls, so 34 - 11 = 23 are boys.
61 - (16 + 23) = 22 prefer biology.
What percentage of the students prefer biology?
21 boys and 22 boys, that is, 43 students out of 100. So
43*100%/100 = 43%
43% of the students prefer biology
3
Find the value of a
in the equation,(3+4√3)(2-a√3)=-18+2√3
Given:
The equation is:
[tex]\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}[/tex]
To find:
The value of a.
Solution:
We have,
[tex]\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}[/tex]
On simplification, we get
[tex](3)(2)+(4\sqrt{3})(2)+(3)(-a\sqrt{3})+(4\sqrt{3})(-a\sqrt{3})=-18+2\sqrt{3}[/tex]
[tex]6+8\sqrt{3}-3a\sqrt{3}-4a(3)=-18+2\sqrt{3}[/tex]
[tex]6+8\sqrt{3}-3a\sqrt{3}-12a=-18+2\sqrt{3}[/tex]
[tex](6-12a)+(8-3a)\sqrt{3}=-18+2\sqrt{3}[/tex]
On comparing both sides, we get
[tex]6-12a=-18[/tex]
[tex]-12a=-18-6[/tex]
[tex]a=\dfrac{-24}{-12}[/tex]
[tex]a=2[/tex]
And,
[tex]8-3a=2[/tex]
[tex]-3a=2-8[/tex]
[tex]a=\dfrac{-6}{-3}[/tex]
[tex]a=2[/tex]
Therefore, the value of a is 2.
Finding missing angles
Answer:
95
Step-by-step explanation:
[tex]x \degree = 95 \degree \\(vertical \: angles) \\ \\ x = 95[/tex]
Please help me ASAP I need this answer quick!!!
Answer:
The Rule of 72 is a simplified formula that calculates how long it'll take for an investment to double in value, based on its rate of return. The Rule of 72 applies to compounded interest rates and is reasonably accurate for interest rates that fall in the range of 6% and 10%.
What is the problem to this one?
Answer:
45
Step-by-step explanation:
Which statement describing this experiment is true?
An experiment is proposed to measure the
effectiveness of a brand of sunscreen. Adult volunteers
are randomly assigned to one of two brands of
sunscreen and asked to enjoy a normal day at the
beach. Each volunteer is asked to report back to the
administrators after two hours, at which time both arms
are assessed for sun exposure.
O The volunteers are the explanatory variables.
O. The brands of sunscreen are the response
variables.
O The amount of time in the sun is the response
variable.
O The brands of sunscreen are the explanatory
variables.
Answer:c
Step-by-step explanation:
Answer:
B i think
Step-by-step explanation:
Stole the picture off a website (which can not be named here lol)
A Statistics class from a high school with 4,000 students took a survey of the first 35 students who walked through the front door of the school, and asked how far they traveled to school that day. The class plans to run a one-sample t-test to determine if the average travel distance has increased since last year. The students notice that the sample data are right skewed. Which conditions have been satisfied for the t-test
Answer:
Independent of the unknown population standard deviation σ
Step-by-step explanation:
It is one tailed test so the data is right skewed.
The t distribution approaches the standard normal distribution as the number of degrees of freedom or the sample size becomes larger.
Here the number of degrees of freedom in = n-1= 35- 1= 34
This is the only parameter of the t distribution.
The important property of t distribution is that it is independent of the unknown population standard deviation σ . It is therefore applied to test hypotheses about the mean of the population irrespective of what the standard deviation may be.
Write an equation in slope-intercept form for the following line:
(-14,1) and (13,-2)
Answer:
[tex] \large \boxed{y = - \frac{1}{9} x - \frac{5}{9} }[/tex]
Step-by-step explanation:
In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.
[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]
m-term is defined as slope in y = mx+b form which is slope-intercept form.
Now we substitute these ordered pairs (x, y) in the formula.
[tex] \large{m = \frac{1 - ( - 2)}{ -14 - 13} } \\ \large{m = \frac{1 + 2}{ - 27} } \\ \large{m = \frac{3}{ - 27} = - \frac{1}{9} }[/tex]
After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is
[tex] \large \boxed{y = mx + b}[/tex]
We already know m-value as we substitute it.
[tex] \large{y = - \frac{1}{9} x + b}[/tex]
We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)
We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.
[tex] \large{y = - \frac{1}{9} x + b} \\ \large{ - 2 = - \frac{1}{9} (13) + b} \\ \large{ - 2 = - \frac{13}{9} + b} \\ \large{ - 2 + \frac{13}{9} = b} \\ \large{ - \frac{5}{9} = b}[/tex]
Finally, we know b-value. Then we substitute it in our equation.
[tex] \large{y = - \frac{1}{9} x + b} \\ \large{y = - \frac{1}{9} x - \frac{5}{9} }[/tex]
Which expression can be used to find the height of the cone below?
V = 30ft³ B = 80ft²
A.30 = 1/3(8h)
B.8 = 30h
C.30 = 8h
D.8= 1/3(30h)
Answer:
A. 30 = ⅓(8h)
Step-by-step explanation:
Volume of cone (V) = 30 ft³ (given)
Base area (BA) = 8 ft² (given)
height = ?
Formula for volume of a cone = ⅓*B.A*h
Plug in the values into the equation
30 = ⅓*8*h
30 = ⅓(8h)
Expression to find the height will be 30 = ⅓(8h)
I am doing this fr a meme so whoever responds is cool and I will mark brailiest
Answer:
Step-by-step explanation:
yesssss
Two parallel lines cut by a transversal are shown.
What is the measure of Xº?
Answer:
X° is A=D116°
Step-by-step explanation:
Hope you helpSolve the equation 8-2x=-8x+14
Answer:
x= -3/5
Step-by-step explanation:
I don’t get how they added to get the amount of money earned, I need help if you can explain how I can find the amount of money earned for 40 hours.
Answer:
its 34
Step-by-step explanation:
you just add
Answer:
330
Step-by-step explanation:
123.75 : 15= 8,25--> the money you earn in one hour.
8,25 x 10= 82,50--> the money you earn in 10 hours.
247,50 (30h) + 82,50 (10h)= 330 (40h)
:)
A frozen yogurt shop charges $1.50 for a cone plus $0.35 for each scoop of
frozen yogurt. Rose paid $2.90 for her frozen yogurt. How many scoops did
she have?
Type your answer...
PLS HELP PLS PLS!!
PLEASE PLEASE PLEASE PLEASE HELP ME! Image below I Am Crying :((
Answer:
Its X-1
Step-by-step explanation:
Answer:
x= 5
Step-by-step explanation:
the | | around a number is called an absolute. It simply means that the number is always going to be positive. If you have |-4| it's the same as saying 4.
Find the measure of the angle indicated
Answer:
50?
Step-by-step explanation:
im not sure please think about it, but I think it might be 50
NO LINKS!!!!!
Disregarding the force of gravity, the maximum velocity v of a rocket is given by v = t ln M, where t is the velocity of the exhaust and M is the ratio of the mass of the rocket with fuel to its mass without fuel. A solid propellant rocket has an exhaust velocity of 2.5 kilometers per second. Find its mass ratio M.
Answer:
look at the photo
Step-by-step explanation:
Disregarding the force of gravity, the maximum velocity v of a rocket is given by v = t ln M, where t is the velocity of the exhaust and M is the ratio of the mass of the rocket with fuel to its mass without fuel. A solid propellant rocket has an exhaust velocity of 2.5 kilometers per second. Find its mass ratio M.
7.5 = 2.5 ln Mln M = 3m = e^3 = 20.08553692Hope it will help you
What is X + 9 < 5 =
Answer:
x<-4
Step-by-step explanation:
x+9<5
-9 -9
x<-4
1. subtract the 9 on both sides to have x alone
How many swimmers are there represented on this dot plot?
Answer:
424
Step-by-step explanation:
just add as many numbers on the bottom of the line on that specific dot plus the amount on it to get your answer for each then add them all together to get your answer
what is x / 15 equals 5. what is x?
Answer:
x = 75
Step-by-step explanation:
x/15 = 5
Multiply each side by 15
15*x/15 = 5*15
x = 75
Answer:
x = 75
Step-by-step explanation:
Reverse the problem meaning you have to do multiplication
5 times 15 is 75
To check your work divided 75 by 15 and if it equals 5 it is correct
Hope this helped :]
Help. No links. You need to find volume. Ty :3
Answer:
I can't see the image but to help the formula is volume=LENGTH x Width x Height :)
Step-by-step explanation:
HELP ME PLEASEEEEEEEEEEEE
Answer:
c
Step-by-step explanation:
6x9=54
54/2= 27
Answer:
27 square units
Step-by-step explanation:
Area of a triangle = (1/2)(base)(height)
A = 1/2(6)(9)
A = 1/2(54)
A = 27
y are selling lollipops for $0.50 and candy bars for $1.50.
Lydia buys 6 lollipops and some candy bars.
If she spends $15 in total, how many candy bars, b, did Lydia buy?
Answer:
b=8
Step-by-step explanation:
You multiply $0.50 by 6 (to get the amount of money she spent on lollipops)=3 then you take the 3 and subtract it from $15 which gives you 12, finally you get 1.50-12 and do that 8 times which means she bought 8 candy bars
In a school machine shop, 60% of all machine breakdowns occur on lathes and 15% occur on drill presses. Let E denote the event that the next machine breakdown is on a lathe, and let F denote the event that a drill press is the next machine to break down. With and P(E) = 60 and P(F) =.15, calculate:
A. P(EC).
B. P(EUE).
C. P(EC ∩ FC).
Answer:
A. P(EC) = 0.4
B. P(E∪E) = 0.75
C. P(EC ∩ FC) = 0.25
Step-by-step explanation:
Let us calculate -:
we are given with - P(E) = 60 and P(F) =.15,
Thus , (a) [tex]P(E^C)=1-P(E)[/tex]
[tex]=1-0.6[/tex]
[tex]=0.4[/tex]
(b) P(E∪F) = P(E) + P(F)
= 0.60 + 0.15
= 0.75
(c) [tex]P(E^C[/tex]∩[tex]F^C)[/tex] [tex]=1-P(E[/tex]∪ [tex]F)[/tex]
[tex]=1-0.75[/tex]
= [tex]0.25[/tex]
Hence , the answers are -A. P(EC) = 0.4 , B. P(E∪E) = 0.75 , C. P(EC ∩ FC) = 0.25.
y’all im struggling right now
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
probability of getting a number greater than 4 on a die, is 2 out of 6 or [tex]\frac{2}{6} = \frac{1}{3}[/tex]
probability of getting an A on the spinner is [tex]\frac{4}{8}=\frac{1}{2}[/tex]
probability of getting both is [tex]\frac{1}{3} *\frac{1}{2} = \frac{1}{6}[/tex]
PLSSSS HELPP!!!!
Given circle S, find m angle TUV.
32°
___________________
180-116= 64
½×64=32°
Answer:
The answer is, [tex]32^{0}[/tex]
Step-by-step explanation:
Definition of circle:The set of all points in the plane that are a fixed distance (the radius) from a fixed point is called a circle (the centre). A radius is the distance between any two points on a circle and the center. Any two radii have the same length according to the definition of a circle.
=[tex]180-116\\64[/tex]
=[tex]1/2[/tex]×[tex]64[/tex]
=[tex]64/2\\32^{0}[/tex]
The angle TUV are [tex]32^{0}[/tex].
To know more about circle here, https://brainly.com/question/24375372
#SPJ2
The passing yards for the top 5 quarterbacks in the country are 3,832, 3,779, 3,655, 3,642, and 3,579. Find the variance and standard deviation. Round to the nearest hundredth. EXPLAIN WORK
First get the average passing yards:
(3,832 + 3,779 + 3,655 + 3,642 + 3,579) / 5 = 3,697.4
Now get the squared residuals for each quarterback's passing yards. That is, compute the difference between each data and the average, then square the result. For example,
(3,832 - 3,697.4)^2 = 134.6^2 = 18,117.2
For the others, you should get squared residuals of
6,658.56
1,797.76
3,069.16
14,018.6
Take the sum of the squared residuals, then - since this is a sample, and not a population of all quarterbacks - divide the sum by 5 - 1 = 4 to get the variance:
(18,117.2 + 6,658.56 + 1,797.76 + 3,069.16 + 14,018.6)/4 = 10,915.3
The standard deviation is just the square root of the variance:
√(10,915.3) ≈ 104.48
Answer:
the answer is 3697.4
Step-by-step explanation:
I used a calculator
According to the multiplication table, what is
the product of the polynomials?
Tan 18= x/75 solve for x
Answer:
x ≈ 24.4
Step-by-step explanation:
Given
tan18° = [tex]\frac{x}{75}[/tex] ( multiply both sides by 75 )
75 × tan18° = x , then
x ≈ 24.4 ( to 1 dec. place )