Answer:
3cm
Step-by-step explanation:
The formula for the volume of the cuboid is [tex]w*l*h=volume[/tex]
We already have the length, width, and volume, so we have to plug it in to the equation.
[tex]15*10*h=450[/tex] (Just a heads up in case you didn't know: the centimeters cubed is just part of the units, so you don't need to worry about it when plugging it in to the equation.)
To solve for h:
1. Multiply 15 and 10
[tex]150*h=450[/tex]
2. Divide both sides by 150
[tex]h = 450/150[/tex]
h = 3
This is in centimeters, so the final answer is 3cm.
The height of a cuboid with a volume of 450cm³ with a length of 10cm and width of 15cm is 3cm.
How to calculate volume?The volume of a cuboid can be calculated using the following formula:
Volume = length × width × height
According to this question, the volume of a cuboid is 450cm³ and has a length of 10cm and the width is 15cm. The height is as follows:
450cm³ = 15cm × 10cm × h
450cm³ = 150²h
h = 450/150
h = 3
Therefore, the height of a cuboid with a volume of 450cm³ with a length of 10cm and width of 15cm is 3cm.
Learn more about height at: https://brainly.com/question/1578538
Tell me at least one way you use math in your everyday life. Please put your answer in a complete sentence.
Answer:
To make mistakes and learn more.
Step-by-step explanation:
Because, the only way to learn math is to make mistakes, its okay to make mistakes!
Answer:
i use math in my everyday life to calculate calories for my diet.
Step-by-step explanation:
Help due at 12 am
God bless you
Find the slope of the line that passes through (10,8) and (1,9).
Answer:
[tex]-\frac{1}{9}[/tex]
Step-by-step explanation:
between (1, 9) and (10, 8), the x moves by 9 and y moves by -1
The slope is equal to: [tex]\frac{\Delta y}{\Delta x} = \frac{-1}{9} = -\frac{1}{9}[/tex]
Answer:
-1/9
Step-by-step explanation:
plug in the slope formula:
y-y
-----
x-x
=9-8
-------
1-10
=-1/9
Which rules define the function graphed below?
eOf
y
4
0.3)
3
(3,2)
1
2
3
4
В
7
x
2
3
Answer: y= 2x+3; y=-1/3x+3
Step-by-step explanation:
First option on edge
y = 2x + 3 and y = -(1/3)x + 3 define the function graphed below.
The correct option is 1.
What is a graph?Graph, a visual depiction of statistical information or a relationship between variables that serves a purpose. Graphs serve a predictive purpose because they have the advantage of displaying broad trends in the quantitative behavior of data. But, as just approximations, they may be imprecise and occasionally deceptive. The majority of graphs include two axes: a horizontal axis that represents a set of independent variables and a vertical axis that represents a set of dependent variables. A broken-line graph, in which time is typically the independent variable, is the most typical type of graph.
The graph of the functions and the points on the line is given.
The points for 1st function = (0, 3)
The points for 2nd function = (3, 2)
The given function:
y = 2x + 3
Substituting (0, 3)
3 = 2(0) + 3
3 = 3
Similarly, for y = -(1/3)x + 3
Substituting (3, 2)
2 = -(3/3) + 3
2 = -1 + 3
2 = 2
Hence, y = 2x + 3 and y = -(1/3)x + 3 define the function graphed below.
To learn more about graph, click:
brainly.com/question/17267403
#SPJ7
A sociologist wants to construct an 80 confidence interval for the proportion of children aged - living in New York who own a cell phone. Part: 0 / 30 of 3 Parts Complete Part 1 of 3 (a) A survey by the National Consumers League taken in estimated the nationwide proportion to be . Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of
This question is incomplete, the complete question is;
A sociologist wants to construct an 80 confidence interval for the proportion of children aged 8-10 living in New York who own a cell phone.
(a) A survey by the National Consumers League taken in 2012 estimated the nationwide proportion to be 036. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.02?
Answer:
the required or needed sample size is 946
Step-by-step explanation:
Given the data in the question;
confidence level = 80%
⇒ 100( 1 - ∝ )% = 80%
100 - 100∝ = 80
100∝ = 100 - 80
∝ = 20/100
level of significance ∝ = 0.2
[tex]Z_{\alpha /2[/tex] = [tex]Z_{0.10[/tex] = 1.2816 { from z-table }
p = 0.36
Allowable margin of error E = 0.02
let n be the required sample size.
we know that
E = √( p( 1 - p) / n )
given that margin of error E = 0.02
⇒ √( p( 1 - p) / n ) × [tex]Z_{\alpha /2[/tex] = 0.02
⇒ √( 0.36( 1 - 0.36) / n ) × 1.2816 = 0.02
⇒ √( 0.2304 / n ) × 1.2816 = 0.02
√( 0.2304 / n ) = 0.02 / 1.2816
√( 0.2304 / n ) = 0.01560549
( 0.2304 / n ) = ( 0.01560549)²
0.2304 / n = 0.000243531318
n = 0.2304 / 0.000243531318
n = 946
Therefore, the required or needed sample size is 946
What shape are the faces, other than the base,
of a pyramid?
Answer:
The base of the pyramid is a triangle, and the lateral faces are also triangles.
For his long distance phone service, Austin pays a $2 monthly fee plus 12 cents per minute. Last month, Austin's long distance bill was $15.32. For how many
minutes was Austin billed?
Answer: 153
Step-by-step explanation:
Let x = minutes
0.09x + 5 = 18.77
0.09x = 13.77
x = 13.77 ÷ 0.09 = 153
He was billed for 153 minutes
Find the value of 4.5 times the value of one fourth of 12
Answer: 13.5
Step-by-step explanation: 1/4 of 12 is 3, so 3x4.5=13.5
Which side of XYZ is the longest? A. WY B. XZ C. YZ D. Cannot be determined
Answer:
B
Step-by-step explanation:
In a triangle the longest side is opposite the largest angle.
∠ Y = 180° - (60 + 43)° = 180° - 103° = 77°
∠ Y is the largest angle in the triangle, then the side opposite is the longest
That is XZ is the longest side → B
please help me awarding brainliest!
Answer:
a
Step-by-step explanation:
because the rest aren't true
Answer:
A. because the rest are not true
Which of the following is the expanded form of a number? Select all correct answers.
(A) 7·1000+8·100+3· 1/100
(B) 4·100+9·100+3· 1/10 +4· 1/10
(C) 71·10+4·1+6· 1/100 +5· 1/1000
(D) 5·1000+5·100+5·1+5·1/100
(E) 3·1000+8·1000+9·1/1000
(F) 9·1000+3·101+5· 1/10
Answer:
3000 + 400 + 70 + 9 + 1/10 + 0/100 + 5/1000. (ii) 7833.45. = 7 thousands + 8 hundreds + 3 tens + 3 ones + 4 tenths + 5 hundredths. = 7000 + 800 + 30 + 3 + 4/10 + ...
The expanded form of a number can be represented as 7·1000+8·100+3· 1/100 and 71·10+4·1+6· 1/100 +5· 1/1000 and 5·1000+5·100+5·1+5·1/100
How to represent a number in expanded form?
The expanded form of a number involves representing a number by the sum of each digit multiplied by its place value (ones, tens, hundreds, thousands, and so on).
The expanded form of a number can be represented as 7·1000+8·100+3· 1/100 and 71·10+4·1+6· 1/100 +5· 1/1000 and 5·1000+5·100+5·1+5·1/100
Find out more on expanded form at: https://brainly.com/question/536253
PLEASE ANSWER ASAP: Dianna can carry up to 15lbs in her backpack. Her lunch weighs 1 lb, her gym shoes weigh 2 lbs, and her books weigh 1.5 lbs each. Which inequality shows how many books Dianna can carry in her bag if she has her lunch and gym shoes?
Answer: A
Step-by-step explanation:
she can carry 1.5 pounds of books plus the extra 3 pounds as long as its less than or equal to 15 lbs
The inequality that shows the number of books that Diana can carry in her bag if she has her lunch and gym shoes is 3 + 1.5x ≤ 15.
What inequality represents the number of books that Diana can carry?The first step is to determine the total weight of the items in her bag:
1 + 2 = 3lbs
The second step is to determine the inequality sign to use:
the inequality sign to be used is the less than or equal to sign - ≤
The equation becomes: weight of items in her bag + (weight of one book x total number of books) ≤ weight the bag can carry
3 + 1.5x ≤ 15
What value of c makes the equation true? 34 = 6 + 4c
Answer:
7
Step-by-step explanation:
34-6=28
28/4=7
c=7
Answer:
The answer would be 'c=7'.
Step-by-step explanation:
I hope this was helpful, have a blessed day.
What is 4/6 times 9 I need this
Answer:
5.4 I think sorry if its wrong
Step-by-step explanation:
PLEASE HELP!
In the figure below, m∠R is 66°, and m∠T is 122°.
Note: Figure is not drawn to scale.
What is m∠Q?
A.
58°
B.
56°
C.
24°
D.
124°
Answer:
B. 56°
Step-by-step explanation:
We are given that m∠R is 66° and m∠T is 122°.
We can apply the supplementary rule since ∠S and ∠T are a linear pair. So, we can use ∠T to find ∠S through 180° - 122° = 58°.
Now, we can use ∠R and ∠S to find ∠Q.
66° + 58° = 124°
180° - 124° = 56°
Answer:
m∠Q is 56°.
Step-by-step explanation:
An exterior angle of a triangle is equal to the sum of the two interior angles that are not adjacent to that exterior angle.
In this case, ∠T is an exterior angle of the triangle, and ∠Q and ∠R are the two interior angles that are not adjacent to ∠T.
So, the measure of ∠T is equal to the sum of the measure of ∠Q and the measure of ∠R.
Therefore, m∠Q is 56°.
!NO LINKS, NO FILES!
please :)
Answer: 10.5 km
A = bh
A = 3.5 x 3
A = 10.5
Answer:
I think ur answer would be 10.5 km
Step-by-step explanation:
srry if wrong hope this helps
I need help figuring this out, thank you! :)
Answer: 8
Step-by-step explanation:
5*6/2=15120/15=8The ratio of a model building's dimensions to the building's actual dimensions is 1/20. If the height of the model is 18 inches, what is the height of the actual building in feet?
First CORRECT answer get branliest Please help!
Answer:
36^6 or 2176782336
Step-by-step explanation: if you multiply 10^2 would equal because you would multiply 10 by 10 and 4^3 would equal 64 because you would have to multiply four 3 times (4 x 4 x 4) and you subtract 100 and 64 (100 - 64) and you get 36 BUT, the question says "Give your answer as APO 6, so you put your answer as 36^6 or 2,176,782,336
What is the volume of the rectangular prism?
Answer:
[tex]10^{3}[/tex]
Step-by-step explanation
3 x 5 x 2 = 30 x 1/3 = [tex]10^{3}[/tex]
A data set includes data from student evaluations of courses. The summary statistics are n, , s. Use a significance level to test the claim that the population of student course evaluations has a mean equal to . Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
Complete question :
A data set includes data from student evaluations of courses. The summary statistics are nequals92, x overbarequals4.09, sequals0.55. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.
Answer:
H0 : μ = 4.25
H1 : μ < 4.25
T = - 2.79
Pvalue =0.0026354
we conclude that there is enough evidence to conclude that population mean is different from 4.25 at 10%
Step-by-step explanation:
Given :
n = 92, xbar = 4.09, s = 0.55 ; μ = 4.25
H0 : μ = 4.25
H1 : μ < 4.25
The test statistic :
T = (xbar - μ) ÷ s / √n
T = (4.09 - 4.25) ÷ 0.55/√92
T = - 0.16 / 0.0573414
T = - 2.79
The Pvalue can be obtained from the test statistic, using the Pvalue calculator
Pvalue : (Z < - 2.79) = 0.0026354
Pvalue < α ; Hence, we reject the Null
Thus, we conclude that there is enough evidence to conclude that population mean is different from 4.25 at 10%
Answer:
Step-by-step explanation:
The null and alternative hypotheses are:
Null hypothesis: The population mean of student course evaluations is equal to 4.25.
Alternative hypothesis: The population mean of student course evaluations is not equal to 4.25.
The significance level is 0.01, so the test will be a two-tailed test.
The test statistic is calculated as:
t = (x - μ) / (s / √n) = (4.18 - 4.25) / (0.54 / √97) = -2.63
The degrees of freedom for the t-distribution is n-1 = 96. Using a t-table or a calculator, the P-value for a two-tailed test with 96 degrees of freedom and a t-value of -2.63 is approximately 0.010.
Since the P-value (0.010) is less than the significance level (0.01), we reject the null hypothesis. We have sufficient evidence to conclude that the population mean of student course evaluations is not equal to 4.25.
In other words, the data provides strong evidence to suggest that the average student course evaluation rating is significantly lower than 4.25.
assume that the total surface area of the cuboid is 200cm^2 work out the volume of the cuboid
Answer: 187.5
Step-by-step explanation:
200 - 2 x 5 x 5 = 50
200 - 50 = 150
150/ 4 = 37. X 5 = 187.5
- hope this helps
which are the expression represents the total area of the large rectangle?
no flile or link or i will be report you
Answer and Step-by-step explanation:
Expressions that represent the total area are:
6(m + n)
6n + 6m
(n + m)6
That is because to find the area of these rectangles, we multiply the length by the width. We would get 6m and 6n, which is one of those options.
Now, if we take out the 6 from each of the values, we get 6(m + n), or (n + m)6.
#teamtrees #PAW (Plant And Water)
how to write 802 049 in words?
Answer:
See explanation below
Step-by-step explanation:
Eight hundred two thousand and forty-nine
In a large county in Central Pennsylvania, 42% of all registered voters are Democrats and 53% are Republicans. What is the probability a randomly selected voter is affiliated with some other party?
Answer:
Probability [Randomly selected voter affiliated with other party] = 1/20
Step-by-step explanation:
Given:
Percentage of Democrats voters = 42%
Percentage of Republican voters = 53%
Find:
Probability [Randomly selected voter affiliated with other party]
Computation:
Percentage of other party voters = 100% - [Percentage of Democrats voters + Percentage of Republican voters]
Percentage of other party voters = 100% - [42% + 53%]
Percentage of other party voters = 100% - 95%
Percentage of other party voters = 5%
Probability [Randomly selected voter affiliated with other party] = Percentage of other party voters / 100%
Probability [Randomly selected voter affiliated with other party] = 5% / 100%
Probability [Randomly selected voter affiliated with other party] = 1/20
What is the answer please I need help
Answer:
+ 3 , is correct answer
hope it helps
Answer:
+3
Step-by-step explanation:
as we divide 27 by (-3) then the answer will (-9) and similarly next one but the sign will change
Which is the the slope of the line that passes through the points(2,8)and (4,6)
Find the measure of major
arc
OQN.
M
K
IN
38
6
P
Answer:
Measure of the major arc OQN = 292°
Step-by-step explanation:
Measure of the major arc OQN = 360° - m(arc ON)
By the definition of central angle subtended at the center by the arc,
Measure of arc ON = Central angle subtended by the arc
= 38°
Now measure of the major arc OQN = 360° - 38°
= 292°
A4BC contains two angles that measure 72 and 23 degrees each. A DEF also contains two angles that measure 72 and 23 degrees. The measure of the third angles of both triangles must be degrees.
Answer:
Answer, is 85
Step-by-step explanation:
You're welcome.
A pool can be filled by one pipe in 8 hours and by a second pipe in 2 hours. How long will it take using both pipes to fill the pool?
let the time taken to be filled by both pipes be y
1/2 +1/8=1/y
(4+1)/8=1/y
5/8=y
cross multiplying
5y=8
y=8/5
=1.6hrs