A right rectangular prism has a height of 15 meters, a length of 4 meters, and a width of 3 meters. Which expressions show how
to calculate the volume? Check all that apply.
VX
2(15+4+3)
15 +4+3
3(4) + 15
60(3)
12(15)
15(4(3)
2(4)(3)(15)
60(4)
Answer:
60(3), 12(15), 15(3)(4)
Step-by-step explanation:
volume of a rectangular prism is the product of all sides which is 15*3*4. 60(3), 12(15), 15(3)(4) are the only ones equal to that.
Answer:
D,E,F
Step-by-step explanation:
Ivy corporation gave 79 people a bonus. If Ivy had given 5 more people bonuses, Ivy would have rewarded 3/5 of the workforce. How large is Ivy's workforce. HELP.
Answer:
140 people in Ivy's workforce
Step-by-step explanation:
First, add together the 79 workers and the 5 extra people.
79 + 5 = 84
Now take 84 divided by 3/5 to find the number of people who are in the workforce.
84/ 3/5 = 140 people in Ivy's workforce
Answer:
140
Step-by-step explanation:
First, add together the 79 workers and the 5 extra people.
79 + 5 = 84
Now take 84 divided by 3/5 to find the number of people who are in the workforce.
84/ 3/5 = 140 people in Ivy's workforce
ASAP PLEASE
Mike and Jhon has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Mike uses the formula V = π(3)2(7) to find the volume whereas Jhon says his formula V= V = 1/3π(3)2(7) is correct to find the volume.
Who is incorrect ? and why?
Answer:
I can't really see the whole question, but for a cone the volume formula is πr2h
3
Step-by-step explanation:
A large pizza costs $8.95, plus $0.65 for each additional topping. Ron paid $10.90 for a large pizza. How many additional toppings did he get?
(please show all your work with a let, so, equation(and solution) and therefore statement).
What is the quotient when the sum of 13 and 11 is divided by the difference of 13 and 11
Answer:
12
Step-by-step explanation:
[tex]\dfrac{13+11}{13-11}=\dfrac{24}{2}=12[/tex]
Hope this helps!
What is the surface area of the rectangular pyramid? m2 18 point for how ever awncers this first
Answer:
When all side faces are same
surface area = lw + 1/2 × perimeter × slant height.
When the side faces are different
surface area = base area + lateral area
Step-by-step explanation:
The question you ask is the formula one can use to calculate the surface area of a rectangular pyramid.
The base of a rectangular pyramid is rectangular. The picture below shows how a rectangular pyramid looks like .
The surface area of the rectangular pyramid includes the area of the base and areas of all the triangular faces. This simply implies the area of the rectangular base and the area of each triangular faces. Mathematically, it can be represented below.
The base area(rectangle) = length × width = lw
Area of a triangle = 1/2 × base × height = 1/2bh
Therefore, if all the faces of the triangle are the same(regular pyramid) the total surface area will be
surface area = lw + 1/2 × perimeter × slant height.
Note the triangular faces are 4 in numbers.
If all the sides of the triangle are different the surface are will be
surface area = base area + lateral area
We have to add the triangular faces individually for an irregular pyramid.
hus, D satisfying (ABC)DequalsI exists. Why does the expression for D found above also satisfy D(ABC)equalsI, thereby showing that ABC is invertible? Select the correct choice below and, if necessary, fill in the answer box within your choice. A. After substituting the expression for D, the product DABC simplifies to I by repeated application of the associative property and the definition of inverse matrices. B. After substituting the expression for D, left multiplying the product by nothing results in the equation IequalsABCD. C. After substituting the expression for D, taking the inverse of both sides of the equation results in the equation IequalsABCD. D. After substituting the expression for D, right multiplying the pr
Complete Question
The complete question is shown on the first uploaded image
Answer:
First Question
Option A is correct
Second Question
Option C is correct
Third Question
[tex]D = A^{-1} * B^{-1} * C^{-1}[/tex]
Fourth Question
So substituting for D in (ABC) D = I
[tex](ABC) * A^{-1} * B^{-1} * C^{-1} = I[/tex]
[tex]I = I[/tex]
This proof that ABC is invertible
Step-by-step explanation:
From the question we are told that
A , B and C are invertible which means that [tex]A^{-1} , B^{-1}, C^{-1}[/tex] exist
Now
From the question
(ABC) D = I
Where I is an identity matrix
Now when we multiply both sides by [tex]A^{-1}[/tex] we have
[tex]A^{-1} A BCD = A^{-1} * I[/tex]
[tex]IBCD = A^{-1}[/tex]
Now when we multiply both sides by [tex]B^{-1}[/tex] we have
[tex]B^{-1 } *I BCD = A^{-1} * B^{-1}[/tex]
[tex]I CD = A^{-1} * B^{-1}[/tex]
Now when we multiply both sides by [tex]C^{-1}[/tex] we have
[tex]C^{-1} * I CD = A^{-1} * B^{-1} * C^{-1}[/tex]
[tex]I D = A^{-1} * B^{-1} * C^{-1}[/tex]
[tex]D = A^{-1} * B^{-1} * C^{-1}[/tex]
So substituting for D in the above equation
[tex](ABC) * A^{-1} * B^{-1} * C^{-1} = I[/tex]
[tex]I = I[/tex]
This proof that ABC is invertible
What is the volume of the cone in the diagram
A. 150 pi cubic units
B. 200 pi cubic units
C. 250 pi cubic units
D. 300 pi cubic units
Answer:
A
150 pi cubic units
Step-by-step explanation:
Answer:
Substituting the values r = 5 and h = 18 in the formula V=1/3×πr^2h, you get V=1/3×π×52×18 = 150π cubic units.
Step-by-step explanation:
3
Solve y - 18 = -3.
a) 15
6
b) 21
9
Oc) -21
12
d) -15
Answer:
Its a) 15
Step-by-step explanation:
There were 4 golden retrievers at the dog park last Saturday, along with 4 other dogs.
Considering this data, how many of the next 18 dogs to arrive at the park next Saturday
should you expect to be golden retrievers?
Answer:
9 Golden Retrievers.
Step-by-step explanation:
If there were 8 dogs last Saturday, and half were golden retrievers, next Saturday should have half golden retrievers. 18 divided by 2 equals 9.
[tex]18 \div 2 = 9[/tex]
Hope this helped :)
Answer:
ryt
Step-by-step explanation:
What are the solutions of the quadratic equation (x + 3)2 = 49?
O x=-2 and x = -16
O x = 2 and x = -10
O x= 4 and x = -10
O x = 40 and x = -58
Answer:
4 and -10
Step-by-step explanation:
Take the square root:
x +3 = ±√49 = ±7
Subtract 3:
x = -3 ± 7
For the minus sign, we have ...
x = -3 -7 = -10
For the plus sign, we have ...
x = -3 +7 = 4
The solutions are x = 4 and x = -10.
The solutions of the quadratic equation x = 4 and x = –10
Step-by-step explanation:
A powder diet is tested on 49 people, and a liquid diet is tested on 36 different people. Of interest is whether the liquid diet yields a higher mean weight loss than the powder diet. The powder diet group had a mean weight loss of 42 pounds with a standard deviation of 12 pounds. The liquid diet group had a mean weight loss of 45 pounds with a standard deviation 14 pounds.
Answer:
Step-by-step explanation:
This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean weight loss yield of the powder diet and μ2 be the mean weight loss yield of the liquid diet.
The random variable is μ1 - μ2 = difference in the mean weight loss yield of the powder diet and the mean weight loss yield of the liquid diet.
We would set up the hypothesis.
The null hypothesis is
H0 : μ1 = μ2 H0 : μ1 - μ2 = 0
The alternative hypothesis is
H1 : μ1 < μ2 H1 : μ1 - μ2 < 0
This us a left tailed test.
Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is
(μ1 - μ2)/√(s1²/n1 + s2²/n2)
From the information given,
μ1 = 42
μ2 = 45
s1 = 12
s2 = 14
n1 = 49
n2 = 36
t = (42 - 45)/√(12²/49 + 14²/36)
t = - 1.04
The formula for determining the degree of freedom is
df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²
df = [12²/49 + 14²/36]²/[(1/49 - 1)(12²/49)² + (1/36 - 1)(14²/36)²] = 70.28/1.03
df = 68
We would determine the probability value from the t test calculator. It becomes
p value = 0.15
Assuming a significance level of 0.05, then
Since alpha, 0.05 < than the p value, 0.15, then we would fail to reject the null hypothesis. Therefore, we can conclude that at a 5% significance level, the liquid diet does not yield a higher mean weight loss than the powder diet.
A cone-shaped pile of sawdust has a base diameter of 36 feet, and is 14 feet tall. Find the volume of the pile.
The volume of the cone-shaped pile of sawdust is, 4752 cubic feet.
What is cone?A cone is a three-dimensional geometric structure with a smooth transition from a flat, usually circular base to the apex or vertex, a point that creates an axis to the base's center.
Given that,
Diameter of cone 2r = 36 feet,
Height of cone h = 14 feet.
Since, diameter 2r = 36 ⇒ r = 18 feet
The volume of the cone V = 1/3×π×r²×h
V = 1/3×22/7×18×18×14
= 4752 cubic feet
The volume of the cone-shaped pile is, 4752 cubic feet.
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how do you write 5179 in figures
A man travelled 450 km on the first day and 565,000 m on the second and the third day he travel double the distance you travel on the first day on the fourth day he reached his destination which was 2500km from his starting point how far did he travel on the fourth
Answer:
1000miles
Step-by-step explanation:
A men travel 585 km on fourth day.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
A man travelled 450 km on the first day and 565,000 m on the second day, the third day he travel double the distance you travel on the first day.
Here, On the fourth day he reached his destination which was 2500km from his starting point.
Let the distance he travel on the fourth day = x
So, We can formulate;
⇒ 450 km + 565,000 m + 2 × 450 km + x = 2500 km
⇒ 450 km + 565 km + 900 km + x = 2500 km
⇒ 1915 km + x = 2500 km
⇒ x = 2500 - 1915
⇒ x = 585 km
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A farmer has a large field that is x feet in length. He wants to fence in a rectangular section in the middle of the field, leaving a length of 100 feet of open field beyond each end of the fenced rectangle. He also wants the width of the fenced-in space to be 100 feet less than its length, as shown in the diagram.
Find the equation in standard form for the area of the fenced-in section in terms of the length of the field.
(area = length • width)
Answer:
y = x2 − 500x + 60,000
Step-by-step explanation:
The length of the fenced-in section is (x − 200) feet, and the width is (x − 300) feet.
area of the fenced-in section = length • width
y = (x − 200)(x − 300)
= x2 − 300x − 200x + 60,000
= x2 − 500x + 60,000
Answer:
y= x^2 − 500x + 60,000
Step-by-step explanation:
Other loser made a mistake
The length of the fenced-in section is (x − 200) feet, and the width is (x − 300) feet.
area of the fenced-in section = length • width
y = (x − 200)(x − 300)
= x^2 − 300x − 200x + 60,000
= x^2 − 500x + 60,000
What is the equivalent equation solved for h?
Answer:
[tex]h=\frac{P}{mg}[/tex]
Step-by-step explanation:
If you divide both sides of this equation by mg, you are left with [tex]h=\frac{P}{mg}[/tex], which is the equivalent solution solved for h. Hope this helps!
Answer:
it's B
Step-by-step explanation:
Please help.
The best answer will get brainliest.
Answer:
Mean= 10
Step-by-step explanation:
Mean= Total value of data/Number of datas given
=3+2+26+9/4
=40/4
=10
Mean= 10
On each trial of a digit span memory task, the participant is asked to read aloud a string of random digits. The participant must then repeat the digits in the correct order. If the participant is successful, the length of the next string is increased by one. For instance, if the participant repeats four digits successfully, he will hear five random digits on the next trial. The participant's score is the longest string of digits he can successfully repeat.
A professor of cognitive psychology is interested in the number of digits successfully repeated on the digit span task among college students. She measures the number of digits successfully repeated for 49 randomly selected students. The professor knows that the distribution of scores is normal, but she does not know that the true average number of digits successfully repeated on the digit span task among college students is 7.06 digits with a standard deviation of 1.63 digits.
a. The expected value of the mean of the 49 randomly selected students, M, is:_____
b. The standard error of M is:______
Answer:
a) The expected value of the mean of the 49 randomly selected students, M, is 7.06 digits
b)
The Standard error of the mean is 0.2328
Step-by-step explanation:
Explanation:-
Given sample size 'n' = 49
The Expected value of the mean of 49 randomly selected students
μₓ = μ =7.06 digits
b)
The Standard error of the mean determined by
[tex]S.E = \frac{S.D}{\sqrt{n} }[/tex]
Given sample size 'n' = 49
The Standard deviation 'σ' = 1.63 digits
The Standard error
[tex]S.E = \frac{S.D}{\sqrt{n} }[/tex]
[tex]S.E = \frac{1.63}{\sqrt{49} } = 0.2328[/tex]
Final answer:-
a) The expected value of the mean of the 49 randomly selected students, M, is 7.06 digits
b) The Standard error of the mean is 0.2328
In a study of contamination of fish in the nations' rivers and lakes, the EPA found that 91% of water quality test sites showed the presence of PCB, a cancer-causing agent. Suppose a follow-up study of 200 rivers and lakes in 2018 showed the presence of PCB in 177 cases. Does the statistical evidence support the conclusion that as of 2018 water clean-up programs have reduced the proportion of locations with PCB? Use as level of significance. Based on the above, the hypothesis statement and decision are A. The alternative hypothesis is less than.91/Do not reject the null B. The null hypothesis is greater than and equal to.886/Do not reject the null C. The null hypothesis is less than .855/Do not accept the nul D. The alternative hypothesis is greater than .91 /Do not acoept the null E. The nullis less than .91 /Do not reject the null
Answer:
A. The alternative hypothesis is less than.91/Do not reject the null
Null hypothesis: H0 = 0.91
Alternative hypothesis: Ha < 0.91
z = -1.24
P value = P(Z<-1.24) = 0.11
Rule
If;
P-value > significance level --- accept Null hypothesis
P-value < significance level --- reject Null hypothesis
Z score > Z(at 95% confidence interval) ---- reject Null hypothesis
Z score < Z(at 95% confidence interval) ------ accept Null hypothesis
Step-by-step explanation:
Given;
n=200 represent the random sample taken
Null hypothesis: H0 = 0.91
Alternative hypothesis: Ha < 0.91
Test statistic z score can be calculated with the formula below;
z = (p^−po)/√{po(1−po)/n}
Where,
z= Test statistics
n = Sample size = 200
po = Null hypothesized value = 0.91
p^ = Observed proportion = 177/200 = 0.885
Substituting the values we have
z = (0.885-0.91)/√(0.91(1-0.91)/200)
z = −1.23541552776
z = -1.24
To determine the p value (test statistic) at 0.05 significance level, using a one tailed hypothesis.
P value = P(Z<-1.24) = 0.107488 = 0.11
Since z at 0.05 significance level is between -1.96 and +1.96 and the z score for the test (z = -1.24) which falls with the region bounded by Z at 0.05 significance level. And also the one-tailed hypothesis P-value is 0.11 which is higher than 0.05. Then we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that at 5% significance level the null hypothesis is valid, therefore do not reject null.
15 cm
12 cm
7 cm find area
Answer:
1260cm^2
Step-by-step explanation:
15 times 12 = 180
180 times 7 = 1260
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
Answer is (b) The worker with 40 hours of training is paid $1400 per month
The diagonal of a square is x units. What is the area of the square in terms of x?
3x square units
x? square units
2x square units
x square units
Answer:
(x^2)/2
Step-by-step explanation:
If the diagonal is x, then the side length is sqrt(x^2/2)
That makes the area (x^2)/2
Answer:
c is wrong thats what i had picked
Step-by-step explanation:
What fraction of the circle would 3 pieces represent?
Answer:
3/4 would represent the shaded in parts of the circle
Step-by-step explanation:
I cannot give you an accurate answer seeing as you did not give much detail
Patty goes to the mall at 9:30 am and meets a friend at a movie at 11:15 am. Patty wants to shop and have 55 min for lunch before meeting her friend
How much time can patty spend shopping?
Answer:
50 minutes
Step-by-step explanation:
Time when patty goes to mall = 9:30 am
Time when he has to meet a friend = 11.15 Am
Spare time patty has is interval between Time when he has to meet a friend
and Time when patty goes to mall
which can be written as
Spare time patty has = 9:30 am to 10:30 am which is 1 hours 45 mins.
One hour has 60 minutes.
Thus total time in minutes patty has = 1*60 minutes + 45 minutes = 105 minutes.
Time which will be used by Patty to have lunch = 55 minutes.
Time left out if 55 minutes are used in lunch = total spare time - time for lunch = (105 - 55 ) minutes = 50minutes.
Patty wants to shop in the spare time after allocating 55 minutes to lunch.
Thus the rest of time which is 50 minutes, he can use to shop.
solve for 4/5 x ( -2/9 )
Answer:
-8/45
Step-by-step explanation:
4/5 * -2/9
Multiply the numerators
4*-2 = -8
Multiply the denominators
5*9 = 45
numerator over denominator
-8/45
what does 1/2 (40x60) =
idk how to do this , pls help
Answer:
15 times 32 times 6 is 2880
16 times 6 times 2 is 192
2880 plus 192 is 3074
D) 3074
Which is NOT a way to state the meaning of the expression h + 7?
ksnfntntneoeodj because it definitely would not be stating the expression h + 7 so any jumble of words could be your answer
Answer:
Step-by-step explanation:
Natalia is moving into a new house. All together, her furniture weighs 3,204 pounds. If it takes 8 trucks to carry all of Natalia's furniture, what is the average weight load on each truck? A. 640.8 pounds per truck B. 801 pounds per truck C. 1,602 pounds per truck D. 400.5 pounds per truck
Answer:
D
Step-by-step explanation:
The average can be found by dividing the number of pieces (or trucks in this case) by the total, so 3204/8=400.5 pounds, or D as our answer