The volume of the given cylinder.
Solution:First, we'll have to find the raduis.
[tex]d = 2r [/tex]
[tex]r = \frac{12}{2} [/tex]
[tex]r = 6 \: in [/tex]
Now, we can work out the volume.
[tex]V = \pi {r}^{2} h[/tex]
[tex]V = \pi \times {6}^{2} \times 13[/tex]
[tex]V = 1470.26536 \: {in}^{3} [/tex]
[tex]\large\boxed{\sf{V = 1470.3 \: {in}^{3}}}[/tex]
Hence, the volume of the given cylinder is 1470.3 cubic inches.
Solve for x 5.2³x = 21.
Answer:
D) 0.69
Step-by-step explanation:
Given :
5 × 2³ˣ = 21
Divide by 5 on each side :
1/5 x 5 x 2³ˣ = 1/5 x 212³ˣ = 4.2Taking the cubic root :
∛2³ˣ = ∛4.22ˣ = 1.61Using logarithm values :
log(2ˣ) = log(1.61)x log(2) = log(1.61)x = log (1.61) / log (2)x = log₂ (1.61)x = 0.69 (approximately)Answer:
D. 0.69
Step-by-step explanation:
Given equation:
[tex]5 \cdot 2^{3x}=21[/tex]
Divide both sides by 5:
[tex]\implies \dfrac{5 \cdot 2^{3x}}{5}=\dfrac{21}{5}[/tex]
[tex]\implies2^{3x}=4.2[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:[/tex]
[tex]\implies(2^3)^x=4.2[/tex]
[tex]\implies8^x=4.2[/tex]
Take natural logs of both sides:
[tex]\implies \ln 8^x=\ln 4.2[/tex]
[tex]\textsf{Apply the log Power law} \quad \ln x^n=n\ln x :[/tex]
[tex]\implies x \ln 8=\ln 4.2[/tex]
Divide both sides by ln 8:
[tex]\implies \dfrac{x \ln 8}{\ln 8}=\dfrac{\ln 4.2}{\ln 8}[/tex]
[tex]\implies x=\dfrac{\ln 4.2}{\ln 8}[/tex]
[tex]\implies x=0.690129776...[/tex]
[tex]\implies x=0.69 \: \sf (2\:dp)[/tex]
Gustavo is in a contest where he will win one of four possible prizes. He creates a four-part spinner to represent the four prizes that he has an equal chance of winning: a video game system, a bicycle, a watch, and a gift card. He spins the spinner several times to demonstrate the likelihood of winning a certain prize.
What is true about Gustavo’s method of data collection and his data on the possible prizes?
Gustavo used an experiment where the data is qualitative.
Gustavo used an experiment where the data is quantitative.
Gustavo used a simulation where the data is qualitative.
Gustavo used a simulation where the data is quantitative.
The correct option about Gustavo’s method of data collection and his data is Gustavo used a simulation where the data is qualitative.
What is qualitative data?Qualitative data is data that describes the properties that a certain object or event possesses. The numerical value assigned to qualitative data do not have an significance. A simulation is a form of test run for an actual event.
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Answer:
ITS C
Step-by-step explanation:
PLEASE EXPLAIN I NEED THIS
A pair of shoes cost $92. What would be the total cost with 7% sales tax
Answer:
$98.44
Step-by-step explanation:
take $92 x .07 = $6.44 (tax amount)
$92+$6.44=$98.44
Britney is buying a shirt and a hat at the mall. The shirt costs $32.61, and the hat costs $19.82. If Britney gives the sales clerk $100.00. how much change should she receive? (Ignore sales tax.)
A. $44.47
B. $57.32
C. $52.43
D. $47.57
Answer:
D. $47.57
Step-by-step explanation:
Add up the cost of the two items
$32.61 + $19.82 = $52.43
subtract the cost for the $100
100-52.43 = 47.57
The change is D. $47.57
Answer:
$47.57
Step-by-step explanation:
cost of the t-shirt = $32.61
cost of the hat= $19.32
total cost of items she bought= 32.61+19.82= $52.43
Amount of change she received= 100-52.43= $47.57
What is the value of y?
The theorem is used to find the side and angles of a triangle. The value of y from the given diagram is 0.64
SOH CAH TOA identityThe given diagram are right angled triangle
From the lower triangle
sin45 = a/2√2
1/√2 = a/2√2
1 = a/2
a = 2
Determine the value of y
tan 60 = opp/adj
tan 60 =y/2
y = 2 tan60
y = 0.64
Hence the value of y from the given diagram is 0.64
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Which system of linear equations makes the sentence true? is a system of linear equations representing intersecting lines. is a system of linear equations representing parallel lines. is a system of linear equations representing coincidental lines.
The system of the equations 3x = 5y - 22 and 12x = 20y - 11 are parallel lines. Then the correct option is B.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equations are given below.
− 3x + 5y = 22 or 3x = 5y − 22 ...1
20y − 11 = 12x or 12x = 20y − 11 ...2
The system of the equations follows the condition that will be
12/3 = 20/5 ≠ 11/22
4 = 4 ≠ 1/2
This is the condition for the parallel lines or no solution.
More about the linear system link is given below.
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Answer:
2x + y = 4, 5y = 10x + 4
is a system of linear equations representing intersecting lines.
2x + 3y = 21, -6y = 4x + 1
is a system of linear equations representing parallel lines.
-2x + 4y = 9, 8y = 4x + 18
is a system of linear equations representing coincidental lines.
Step-by-step explanation:
Graphed them all.
Express this ratio as a fraction in simplest form. For homework, a student had to complete 15 problems total. If she finished 6 problems in class, what is the ratio of problems she still needs to complete to problems that she's already finished?
Answer:
3:2.
Step-by-step explanation:
They have 15 - 6 = 9 problems to do, so it is:
9:6
= 3:2.
Answer:
9/15
Step-by-step explanation:
15 - 6 = 9 as a fraction would be 9 meaning what is left and 15 as meaning how much they started with so it is 9/15 also called 9 over 15
Hope This Helped
How can you find the value of p? Is the value of p for your parabola positive or negative? Explain.
Answer:
haha kala mo ba maiinit
Step-by-step explanation:
[tex]\green{ \rule{500pt}{999999pt}}[/tex]
100 POINTS! College Statistics
*Wrong/Spammy Answers will be removed*.
Check the attachment for the whole question. Ignore letter e
(a) Collision claims tend to be skewed right because there are a few very large collision claims relative to the majority of claims.
These large collision claims skew the data to the right because they are outliers that draw the mean higher than it should be.
The answer cannot be "no large collision claims" or "many large collision claims" because then the data would not be skewed.
(b) Since there are two random samples comparing two means, we will be using a 2-Samp-T-Test. We will use Welch's approximate t-test, where we test the hypothesis that these two populations have the same mean.
We want to determine if 20-24 year old drivers have the same mean collision cost as 30-59 year old drivers.
(c) The null hypothesis is that the mean claim of collision costs for 20-24 year old drivers is the same as the mean claim of collision costs for 30-59 year old drivers.
We can also rewrite this as:
H₀: μ₁ = μ₂where μ₁ is the mean collision claims for 20-24 year old driversand μ₂ is the mean collision claims for 30-59 year old driversThe alternative hypothesis is that the mean claim of collision costs for 20-24 year old drivers is higher than the mean claim of collision costs for 30-59 year old drivers.
We can rewrite this as:
H₁: μ₁ > μ₂Our variables have already been defined(d) In order to calculate the p-value, we must find the test statistic first.
We can do so by using this formula:
[tex]\displaystyle t=\frac{x_1-x_2}{\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2} }}[/tex]We are given these variables in the problem:
[tex]x_1=4590[/tex][tex]s_1=2302[/tex][tex]x_2=3670[/tex][tex]s_2=2029[/tex][tex]n_1=40[/tex][tex]n_2=40[/tex]Substitute these variables into the formula for the test statistic.
[tex]\displaystyle t=\frac{4590-3670}{\sqrt{\frac{2302^2}{40} +\frac{2029^2}{40} } }[/tex]You can use the calculator to solve this expression, or plug the numbers into your calculator using: STAT - TESTS - 4:2-SAMPTTEST.
Your test statistic should be: t = 1.8962.
The calculator should also tell you the p-value; p = .0308.
(e) Since p = .0308 < α = .1, reject the null. We have convincing statistical evidence that the mean claim of collision costs for 20-24 year old drivers is higher than the mean claim of collision costs for 30-59 year old drivers.
So I’m failing right now but I need 44% to pass and I have a 38% right now.I take notes and I get 5/5 (or 100%) on the notes. I did 4 of them will that bring it up?? If so what would be my current grade. Please help meeeeeee.
Answer:
well yes it but it depends on how much each points you will get for each assignment and how much you have, but other than that I am very sure It will! don't lose hope! keep doing your best! only think positive!!!
what is the interquartile range of the data 24,25,27,36,37,42,42,43,49,49,50,53,59,61,65
IQR = Q3-Q1 = 53 - 36 = 17
last question before I go. [tex]x^{2} -y[/tex] when [tex]x = 4, y = 2[/tex].
Hey there!
x^2 – y
= 4^2 – 2
= 4 * 4 - 2
= 16 - 2
= 14
Therefore, the answer should be: 14
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Write the quadratic equation whose roots are 2 and 3, and whose leading coefficient is 3. (Use the letter x to represent the variable.)
The quadratic equation whose roots are 2 and 3, and whose leading coefficient is 3 will be 3x² - 15x + 18 = 0.
What is a quadratic equation?The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have
Then the quadratic equation whose roots are 2 and 3, and whose leading coefficient is 3.
Then the factor or the quadratic equation will be
(x - 2) and (x - 3)
Then the equation will be
3(x - 2)(x - 3) = 0
3(x² -2x -3x + 6) = 0
3(x² - 5x + 6) = 0
3x² - 15x + 18 = 0
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Is it SSS, SAS, ASA, SAA, or HL?
Answer:
it’s SAA
Step-by-step explanation:
ur wlcm, i am sure of my answer
brainliest please?
phone 35% off
now only £78
how much was the phone before the discount price
Answer:
€ 120Step-by-step explanation:
full price of the phone in terms of percentage
= 100%
percentage discount = (100-35)% = 65%
let the price of the phone before discount= X
therefore,
65%-----------78
100%----------X
cross multiplying
65×X = 100×78
dividing bothsides by X
X = 100×78/65
X = 7800/65
X = 120
price of the phone before discount=€120
i need help with this question
Answer:
Simulation --> An imitation
Sample --> The part of a population
Biased sample --> A sample that is not
Population --> A group
Can someone help me with this please?
f hi I chhiring Tamang I read in hdidieje
The mean of four numbers is 59, The numbers are 52, 58, 57, and x. Find the value of x.
Answer:
X=69
Step-by-step explanation:
52, 58, 57, X =59
52+58+57+X/4=59
167+X/4=59
Multiply both sides by 4
4(167+X) /4 = 59x4
Simplify
167 + X= 236
Subtract 167 from both sides
167 + X- 167 = 236 – 167
Simplify
X= 69
to check
52+ 58+57+69/4 =59
What is the slope of a line perpendicular to the line whose equation is
3x+6y=-54.
Fully simplify your answer.
Answer:
slope = 2
Step-by-step explanation:
Slope-intercept form of a linear equation: [tex]y=mx+b[/tex]
(where m is the slope and b is the y-intercept)
Given equation:
[tex]3x + 6y = -54[/tex]
Rearrange the given equation to make y the subject:
[tex]\implies 6y=-3x=-54[/tex]
[tex]\implies y=-\dfrac{1}{2}x-9[/tex]
Therefore, the slope of the given equation is [tex]-\dfrac{1}{2}[/tex].
If two lines are perpendicular to each other, the product of their slopes will be -1.
Therefore, the slope (m) of the line perpendicular to the given equation is:
[tex]\implies -\dfrac{1}{2} \cdot m=-1[/tex]
[tex]\implies m=-1 \div -\dfrac{1}{2}[/tex]
[tex]\implies m=-1 \cdot-2[/tex]
[tex]\implies m=2[/tex]
Can somebody please help me with this please and thankyou!!
Answer:
a) x=loge3 ( log e base 3)
b)4=e^y
Answer:
A.) loge(x)=3
B.) e^y =4
Step-by-step explanation:
A.) loge(x)=3
B.) e^y =4
When specific frequencies of______are absorbed by a material, it forms an absorption spectrum.
A. mass
B. light
C. lightyears
D. weight
Answer:
B. light
Step-by-step explanation:
When specific frequencies of light are absorbed by a material, it forms an absorption spectrum.
Suppose the base and height ( 8 and 6) are multiplied by 1/2, what effect would this have on the area
Answer:
Here is the answer hope it helps:)
help pls
i know i hv to rearrange but how
Answer:
Step-by-step explanation:
draw ⊥ from B cutting AC.
let it be D.
[tex]\frac{BD}{BC} =sin 30\\BD=\frac{1}{2} \times BC=\frac{1}{2} \times 2x=x\\area=\frac{1}{2} \times 3x \times BD=\frac{1}{2} \times 3x \times x\\T=\frac{3x^2}{2} \\2T=3x^{2} \\x^{2} =\frac{2T}{3} \\x=\sqrt{\frac{2T}{3} }[/tex]
Find the surface area to the nearest square foot.
how to do this?
Which line plot displays a data set with an outlier?
Answer: See attached, the top right
Step-by-step explanation:
What is an outlier? An outlier, in a data set, is a data value that is outside the overall pattern of distribution.
This means the answer to your question is the top right because the data value of 13 is outside the overall pattern, hence an outlier.
Answer:
The 2nd one on the top
Step-by-step explanation:
It's that one because it goes from 8 to 13 and that's a big jump causing it to be the outlier.
a grandmother deposits $6000 in an account that pays 9% compounded monthly. What will be the value of the account at the child's twenty-first birthday, assuming that no other deposits or withdrawals are made during this period?
now, we're assuming she made the deposit at the child's birth, namely when year was 0, at the child's twenty-first birthday that'll be 21 years later.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &21 \end{cases} \\\\\\ A=6000\left(1+\frac{0.09}{12}\right)^{12\cdot 21}\implies A=6000(1.0075)^{252}\implies A\approx 39437.11[/tex]
how is 0.5600 written on scientific notation
Answer:
5.6 x 10^-1
Step-by-step explanation:
give brainliest, please!
hope this helps :)
Find the area of the figure. (Sides meet at right angles.) 3yd 5yd 5yd 8yd 8yd
Answer:
39 yd²
Step-by-step explanation:
Two rectangles can be formed here.
One smaller of the dimensions 5 × 3 yd
And another of 8 × 3 yd.
Total area = 5×3 + 8×3 (area of rect. = l×b)
= 15 + 24
= 39 yd²
Each morning, Jon rides 1.5 miles to school and then rides to his aunt’s house after school. Later in the evening, he takes the same route to get back to his house. Over 5 days, he rides 44 miles.
Which equation can be used to find x, the distance from school to his aunt’s house?
The equation that can be used to determine the distance from school to his aunt's house is x = 29 miles / 10.What equation can be used to represent the total distance travelled? Total miles rode = 10(miles ridden to school) + (10 x miles rode to his aunt's house from school) 44 miles = (10 x 1.5) + (10 × x)44 miles = 15 miles + 10x What equation that can be used to determine distance rode from school to her aunt's house? Given this equation : 44 miles = 15 miles + 10x, take the following steps: Combine similar terms: 44 miles - 15 miles = 10x 29 miles = 10x Divide both sides by 10 x = 29 miles / 10
