The required number of small prism that would be fill in the large prism is given as 6
As mentioned in the question, a large rectangular prism is 12 inches long, 9 inches wide, and 6 inches tall. A small rectangular prism is also 12 inches long, but it's only 3 inches wide and 3 inches tall.
Here,
The volume of the large prism = 12 × 9 × 6
= 648 inches cube
The volume of the small prism = 12 × 3 × 3
= 108 inches cube,
The ratio of the volume of the large prism to a small prism will give the number of small prisms needed to fill the large prism. So,
n = 648 / 108 = 6 / 1
Thus, the required number of small prism that would be filled in the large prism is given as 6.
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Sasha selected a random sample of bivariate data, with a sample size of 30, and calculated a slope of 3.6 for the sample slope of a regression model. Sasha constructed a 95 percent confidence interval to estimate the slope. Alex claims he can construct a confidence interval that is narrower by changing the sample size but keeping all other things the same. Which of the following sample sizes will make Alex's claim true?
A. 10
B. 15
C. 20
D. 25
E. 35
The sample size that will make the Alex's claim true is option E. 35.
What is Confidence Interval?Confidence interval in statistics is defined as the certain range of values that you estimate for the unknown parameter lies within.
This means that, if you do your experiment more than once and do resampling, then this is the percentage that the parameters falls within a range.
Sample size of Sasha = 30
She took a confidence interval of 95%.
Alex claims he can construct a confidence interval that is narrower by changing the sample size but keeping all other things the same.
The relation between the sample size and confidence interval is that when the size of sample increases, the confidence interval becomes narrower.
So if the Alex's claim has to be true, sample size must increase.
He can use sample size of 35.
Hence the correct option is E.
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5/6 plus blank equals to 5/2
Answer:
5/6 + 5/3 = 5/2
Step-by-step explanation:
2, 6, 10, 15, ...
O Arithmetic
O Geometric
O Neither

Given:
The sequence is:
2, 6, 10, 15,...
To find:
Whether the given sequence is Arithmetic, Geometric, Neither.
Solution:
We have,
2, 6, 10, 15,...
Different between consecutive terms are:
[tex]6-2=4[/tex]
[tex]10-6=4[/tex]
[tex]15-10=5[/tex]
Since [tex]4\neq 5[/tex], therefore the given sequence has no common difference. It means it is not an arithmetic sequence.
Ratio of consecutive terms are:
[tex]\dfrac{6}{2}=3[/tex]
[tex]\dfrac{10}{6}=\dfrac{5}{3}[/tex]
Since [tex]3\neq \dfrac{5}{3}[/tex], therefore the given sequence has no common ratio. It means it is not a geometric sequence.
Since the given sequence is neither arithmetic nor geometric, therefore the correct option is C.
Help me I need to get this right
Answer:
0.006 (decimal form) or 0.6% (percentage form)
Step-by-step explanation:
0.1(0.2)(0.3) = 0.006
A sports fan conducted a test to investigate whether male high school athletes are
equally divided among football, soccer, swimming, tennis, and basketball. A sample of
male high school athletes was selected and the resulting value of the chi-square test
statistic was 10.65. Which of the following represents the p-value?
Answer:
B
Step-by-step explanation:
p(x^2>10.65)=0.03
9)
5.6 yd
5 yd
12 yd
Find the area. (A = 1/2 ( 61 + b2) h)
Answer:
Area, A = 63.6 square yards
Step-by-step explanation:
A trapezoid refers to a quadrilateral that is convex in shape; as such it has no equal sides and no parallel sides.
Let the height of a trapezoid be h.
Let the top base of a trapezoid be b1.
Let the bottom base of a trapezoid be b2.
[tex] Area \; of \; trapezoid = \frac {1}{2} * (Sum \; of \; nonparallel \; sides) * height [/tex]
Therefore, [tex] Area \; of \; trapezoid = \frac {1}{2} * (b_{1} + b_{2}) * h [/tex]
Given the following data;
Length, b1 = 5 yards
Width, b2 = 5.6 yards
Height, h = 12 yard
To find the area of geometrical shape (trapezoid), we would use the above formula;
A = 1/2 (b1 + b2) * h
Substituting into the formula, we have;
A = ½ * (5 + 5.6) * 12
A = ½ * (10.6)*12
A = 5.3 * 12
Area, A = 63.6 square yards
Anyone know the sensitivity analysis and duality?
Answer: Sensitivity Analysis. The notion of duality is one of the most important concepts in linear programming. Basically, associated with each linear programming problem (we may call it the primal. problem), defined by the constraint matrix A, the right-hand-side vector b, and the cost.
Step-by-step explanation:
help lol don’t understand smart teacher math awesome simple lol geometry brainlyesy
Answer:
1. square, 28cm^2
2. triangle, 60ft^2
3. trapezoid, 21ft^2
4. pentagon, 30cm^2
Step-by-step explanation:
what is 2+2 ?
im felling nice
Answer:
4
Step-by-step explanation:
if you had 2 cake mixes, and you had 2 more, you add them together and create 4 cake mixes and get a bigger cake. lol
Thanks so much!! Have a great rest of your day! ^^
Jaime is employed by Johnson & Johnson making $30 an hour. She had $400 in sales, which
she receives an 8% commission. If she worked 20 hours last week, what was her weekly
pay?
Answer:
$632
Step-by-step explanation:
Set up an equation:
$30(20 hours) + ($400 × 0.08)
$600 + $32
$632
Steve's mom gave him $20.00 on Monday morning to use on lunches. At his school, the school lunch costs $1.50, which he bought Monday through Thursday. On Friday, he decided to buy 4 slices of pizza instead of buying the school lunch. If the pizza costs $1.40 per slice, then how much of the money is left at the end of the school week?
In ΔRST, the measure of ∠T=90°, the measure of ∠R=39°, and TR = 55 feet. Find the length of ST to the nearest tenth of a foot.
Answer:
ST = 44.54 ftExplanation:
given:
∠T=90° , ∠R=39° and TR = 55 ft
ST = 55×tan(39)
ST = 55×0.80..
ST = 44.54 ft
¼ y + ⅜ ? I don't know what to do
Answer:
isn't that a graph perhaps ?
solve for x using distributive property
2(x+7)=13
and
5(x-7)=17
Answer:
x= −1/2, x=52/5
Step-by-step explanation:
2(x+7)=13
(2)(x)+(2)(7)=13(Distribute)
2x+14−14=13−14
2x=−1
2x/2=−1/2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
5(x−7)=17
(5)(x)+(5)(−7)=17(Distribute)
5x+−35=17
5x−35=17
5x−35+35=17+35
5x=52
5x/5=52/5
Roberta had money in his savings account. She spent $65 of it on a new pair of shoes. She has $78 left. How much money did she have in her savings before she bought the shoes?
Answer:
$ 143
Step-by-step explanation:
she had $ x before she spent the money
x - 65 = $ 78
x = $ 143
Help me? Product of a sum and a difference
Formula; (a + b)(a - b) = a^2 - b^2
Find the product of the following
1. (2x - 5)(2x + 5)
2. (5b - 6y)(5b + 6y)
3. (4k + 7)(4k - 7)
4. (y - 5)(y + 5)
5. (3x - 2)(3x + 2)
6. (13x + 2x^3)(13x - 2x^3)
7. (2a + 1)(2a - 1)
8. (9y^2 + 8)(9y^2 - 8)
Step-by-step explanation:
hey, hope this helps. :)
Answer:
The solution is 6-->4-->9-->7-->1
Step-by-step explanation:
Type your answer in the box.
The sample standard deviation of the data set 3, 4, 5, 6, and 7 is
final answer to 1 decimal place.)
Do you know the answ
Answer:
The standard deviation of the set is: 1.5
Step-by-step explanation:
The actual standard deviation is 1.58... but to 1 decimal place it's 1.5
Assume that in a given year the mean mathematics SAT score was 515, and the standard deviation was 116. A sample of 65 scores is chosen. Use the TI-84 Plus calculator. Part 1 of 5 (a) What is the probability that the sample mean score is less than 500
Answer:
His is a normal distribution question with a) x1 = 480 x2 = 520 P(480.0 < x < 520.0)=? This implies that P(480.0 < x < 520.0) = P(-2.4326 < z < 0.3475) = P(Z < 0.3475) - P(Z < -2.4326)
Step-by-step explanation:
A Sample Of 65 Scores Is Chosen. Use The TI-84 Plus Calculator. Part 1 Of 5 (a) What Is The Probability That The Sample Mean Score Is Less Than 5007
v=10 e=5
2v divided by e + 4
Help please I’ll give extra points
Answer:
The perimeter of the resulting image is 13 centimeters
Step-by-step explanation:
we know that
Rotation, reflection, and translation are transformations that do not produce changes in the dimensions of the figure, while dilation is a transformation that does affect the dimensions of the figure.
In this problem, we have rotation and reflection
therefore
The perimeter of the resulting figure is the same as the original figure
What is the area of the regular trapezoid below?
64 cn2,80cm2,240cm2,480cm2
Type in your answer with no spaces and all lower case x.
Factor x^2−100
Answer:
(x-10)(x+10)
Step-by-step explanation:
the answer is:(x-10)•(x+10)
Which solid has one rectangular base and four lateral faces in the shape of triangles?
rectangular prism
rectangular pyramid
square pyramid
triangular prism
Answer:
the answer is B
Step-by-step explanation:
Answer:
Which solid has one rectangular base and four lateral faces in the shape of triangles? rectangular prismrectangular pyramidsquare pyramidtriangular prism
Step-by-step explanation:the answer is B
ale.
2 Emily saw an anaconda snake at the zoo
that was 24 feet 6 inches long. Which
equation can Emily use to find L, the length
of the snake in inches only?
QL = (24 + 12) + 6
QL = (24 x 10) + 6
L = (24 + 6) + 12
L = (24 * 12) + 6
eset in
5
Answer:
L=(24*12) + 6
Step-by-step explanation:
24 feet by 12 since each foot is 12 inches after that you'll need to add the rest of the inches you've already measured which is why you add 6
ILL GIVE BRAINLEST, tell whether the angles are adjacent or vertical then find the value of x
Answer:
Step-by-step explanation:
x = 100°
Step-by-step explanation:
They are adjacent.
x + 80 = 180
x = 100°
The Least Squares Assumptions , where 1. The error term has conditional mean zero given : ; 2. , are independent and identically distributed (i.i.d.) draws from their joint distribution; and 3. Large outliers are unlikely: and have nonzero finite fourth moments. Suppose the first assumption is replaced with . What happens to ? A. The slope changes to . B. The intercept changes to . C. Nothing changes. D. Both the intercept and the slope change to and respectively. Are the rest of the OLS assumptions satisfied? A. OLS assumption (3) is satisfied but not (2). B. Both OLS assumptions (2) and (3) are satisfied. C. OLS assumption (2) is satisfied but not (3). D. Neither OLS assumption (2) nor (3) is satisfied.
Step-by-step explanation:
is satisfied but not (3). D. Neither OLS assumption (2) nor (3) is satisfied.
inverse of f(x)=4-x^1/3
Answer:
[tex]f^{-1}(y)=(y+4)^3[/tex]
Step-by-step explanation:
f(x) = 4 -x^1/3
y = 4 - x^1/3
y + 4 = x^1/3
raise both sides to a power of 3
(y+4)^3 = x
x = (y+4)^3
[tex]f^{-1}[/tex](y)= (y+4)^3
I NEED HELPPPPP PLEASE
Answer:
x and y are both equal to 115
Step-by-step explanation:
Vertical angles are congruent (x ~= 115)
Corresponding angles are congruent (x ~= y)
Pls answer thankyouuuu NO ABSOLUTELY NO LINKS OR I WILL THROW MY PHONE AT U
Answer:
option a. true.
.............
Answer:
Nice and simple :)
TRUE :)
go0ge,com
Step-by-step explanation:
of the 12 eggs in the carton, 3 were broken. What percent were broken?
Answer:
25%
Step-by-step explanation:
plz mark brainliest also the other answer is correct i just didnt show how
Answer:
25%
Step-by-step explanation:
3/12=d/100
12d=300
12÷12d=d
300÷12=25
d=25
hope this helps