Drag the numbers to create three ratios that are equivalent to 4:12.
Each number may be used once or not at all.
Answer:
20:60 12:36 2:6
Step-by-step explanation:
The second number is going to be 3 times as big as the first ine
plzzzzzzzzz help
Volume of the following triangular prism is 960 cm3…
a) Determine the length of the base of the triangle.
b) Determine the area of the triangle.
help plz
Answer:
Step-by-step explanation:
a). By applying Pythagoras theorem in right triangle ABC,
AC² = AB² + BC²
20² = 16² + BC²
BC = [tex]\sqrt{400-256}[/tex]
= 12
Therefore, another leg of the triangular base = 12 cm
Area of the triangular base ABC = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(16)(12)[/tex]
= 96 cm²
Volume of a triangular prism = Area of the triangular base × height
960 = 96 × b
b = 10 cm
b). Area of the triangle ABC = 96 cm²
Question 2
What is the quotient of 3/4 divided by 5/4
Answer:
3/5
Step-by-step explanation:
Answer:
[tex]\frac{3}{5}[/tex]
Step-by-step explanation:
Operations With Fractions
Evaluate the expression:
[tex]\displaystyle \frac{\frac{3}{4}}{\frac{5}{4}}[/tex]
The division of fractions is can be done by multiplying the fraction on the numerator by the reciprocal of the fraction on the denominator:
[tex]\displaystyle \frac{\frac{3}{4}}{\frac{5}{4}}=\frac{3}{4}\cdot\frac{4}{5}[/tex]
Simplifying:
[tex]\displaystyle \frac{\frac{3}{4}}{\frac{5}{4}}=\frac{3}{5}[/tex]
Answer: [tex]\frac{3}{5}[/tex]
write an absolute value inequality for the graph below.
use x for your variable.
Step-by-step explanation:
The magnitude of x is equal or less than 7.
=> We have |x| <= 7.
Factor 24x – 18 using the GCF
Answer:
24x – 18
6(4x-3)is required factor.
If 10 men can cut a piece of lawn in 4
days, how long will it take 8 men to
cut the same lawn?
Answer:
About 3
Step-by-step explanation:
Step-by-step explanation:
10 men =4 days
8 men =x days
cross multiply
10×x=8×4=24
Can y’all help me? I think it’s the last one but I’m not sure
A pizza shop sells three sizes of pizza, and they track how often each size gets ordered along with how much they profit from each size. Let X represent the shop's profit on a randomly selected pizza. Here's the probability distribution of X along with summary statistics:
Small Medium Large
X = profit ($) 4 8 12
P(X) 0.18 0.50 0.32
Mean: μX = $8.56
Standard deviation: σx =$2.77
The company is going to run a promotion where customers get $2 off any size pizza. Assume that the promotion will not change the probability that corresponds to each size. Let Y represent their profit on a randomly selected pizza with this promotion. What are the mean and standard deviation of Y?
Answer:
The mean and standard deviation of Y is $6.56 and $2.77 respectively.
Step-by-step explanation:
Consider the provided information.
Let Y represent their profit on a randomly selected pizza with this promotion.
The company is going to run a promotion where customers get $2 off any size pizza.
Therefore, [tex]Y=\text{Profit}-\$2[/tex]
[tex]Y=X-\$2[/tex]
So the mean will be reduced by 2.
[tex]\mu_Y=\mu_X-\$2[/tex]
[tex]\mu_Y =\$ 8.56 - \$2[/tex]
[tex]\mu_Y =\$6.56[/tex]
If we add or subtract any constant number from a given distribution, then the mean is changed by the same number(i.e constant number) but the standard deviation will remain the same.
Therefore [tex]\sigma_Y=\sigma_X=2.77[/tex]
Hence, the mean and standard deviation of Y is $6.56 and $2.77 respectively.
Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 5.4 millimeters (mm) and a standard deviation of 0.8 mm. For a randomly found shard, find the following probabilities.
a. the thickness is less than 3.0 mm
b. the thickness is more than 7.0 mm
c. the thickness is between 3.0 mm and 7.0 mm
Answer:
a) the required probability is 0.0013
b) the required probability is 0.0288
c) the required probability is 0.9759
Step-by-step explanation:
Given the data in the question;
let x be the thickness measurements
Given that X follows a Normal distribution with mean μ = 5.4
standard deviation σ = 0.8
then z = x-μ / σ = x-5.4 / 0.8 follows standard Normal
a) probability that the thickness is less than 3.0 mm
P( x<3 ) = P( x-5.4 / 0.8 < 3-5.4 / 0.8 ) = P( Z < -3.00 ) = 0.0013
Therefore, the required probability is 0.0013
b) the thickness is more than 7.0 mm
P( x>7 ) = P( x-5.4 / 0.8 > 7-5.4 / 0.8 ) = P( Z > 2.00)
= 1 - P( Z ≤ 2)
= 1 - 0.9772
= 0.0288
Therefore, the required probability is 0.0288
c) the thickness is between 3.0 mm and 7.0 mm
P(3< x<7 ) = P( x<7) - P(x<3)
= P( x-5.4 / 0.8 > 7-5.4 / 0.8 ) - P( x-5.4 / 0.8 < 3-5.4 / 0.8 )
= P( Z< 2 ) - P( Z < -3)
= 0.9772 - 0.0013
= 0.9759
Therefore, the required probability is 0.9759
Rachel wants to use the Distributive Property to rewrite 72 + 45. Which expression could she use?
Answer:
1.17 x 10^2
Step-by-step explanation:
Im pretty sure its right
i’ll give brainliest!!!
Zared plays basketball on his high school team. One of the things he needs to practice is his free throws. On his first shot, there is a probability of 0.6 that he will make the basket. If he makes a basket, his confidence grows and the probability he makes the next shot increases by 0.05. If he misses the shot, the probability he makes the next one decreases by 0.05.
He takes 5 shots. What is the probability he makes at least 3 shots? (Hint: a tree diagram might be a helpful strategy)
Answer:
lol brainliest
Step-by-step explanation:
The probability that he makes at least 3 shots is P{E} = 0.15
What is a probability? Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
Given is that Zared plays basketball on his high school team. One of the things he needs to practice is his free throws. On his first shot, there is a probability of 0.6 that he will make the basket. If he makes a basket, his confidence grows and the probability he makes the next shot increases by 0.05. If he misses the shot, the probability he makes the next one decreases by 0.05.
If he takes 5 shots, than the probability that he makes at least 3 shots is-
P{E} = 5 x 0.05 - 2 x 0.05
P{E} = 0.25 - 0.1
P{E} = 0.15
Therefore, the probability that he makes at least 3 shots is P{E} = 0.15.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
SPJ2
PLEASE HELP IM BEING TIMED
Which equation results from adding the equations in this system?
-8x+8y = 8
3x-By=-18
A: 5X=-10
B: 5x = 26
C: -5X = 26
D: -5x=-10
Step-by-step explanation:
You have miscopied the second equation as it contains a third variable B when there isn't a B in the answers.
Please correct it for assistance
help please pleasdes
Answer: Triangle A'B'C is an enlargement of triangle ABC
Step-by-step explanation: When figuring out whether a dilation of a triangle is an enlargement or reduction, you see if the scale factor is larger or smaller than 1. If the scale factor is less than 1, it's a reduction. If the scale factor is larger than 1, it's an enlargement. 4/3 > 1 so this means the triangle gets bigger and is an enlargement. This means triangle A'B'C is an enlargement of triangle ABC.
Which decimal is equivalent to 7.5%? A 7.5 B 0.75 C 0.705 D 0.075
Answer:
D.) 0.075
Step-by-step explanation:
what is an eqivallent fraction to 4/3
Answer:
8/6
Step-by-step explanation:
That is because 8 and 6 are double than that of 4 and 3 so it is an equavalent equation.
Answer:
8/6
Step-by-step explanation:
Multiply the numerator and denominator by 2! :)
Find the 43rd term in the sequence: -6, -3, 0,...
Answer: 129
Step-by-step explanation: 43•3=129
Write the ratio 3/9 4/9 in simplest form
Answer:
3/9 is 1/3 but 4/9 is already simplified :D
if you are happy with my answer, please give brainliest :)
Step-by-step explanation:
need help asap please
Answer:
[tex]\displaystyle no[/tex]
Step-by-step explanation:
UT is shorter than WT, therefore you cannot use it on this triangle.
I am joyous to assist you at any time.
Why is it impossible for m
Answer:
? What M? What is impossible?
The diagram shows a square.
(7x + 3) cm
Find the length of the side of the square.
(5x + 8) cm
The length of each side of the square is; 20.5cm
Squares and equal sidesSince, all sides of a square have equal lengths;
We can assume that the the sides given are equal so that we have;7x +3 = 5x +8
2x = 8 -3
2x = 5
x = 5/2
x = 2.5
By substituting x into either of the expressions! we have;
7x + 37(2.5) + 3 = 17.5 + 3 = 20.5Read more on squares;
https://brainly.com/question/2279006
Mrs. Fuller is trying to organize all of her children's toys into a large toy box. Each toy
has the dimensions of 4 inches x 3 inches x 3 inches. The toy box measures 4 feet x 2
feet x 3 feet. How many toys will be stored in the large toy box?
Answer: 1,152 toys can be stored in the box.
Step-by-step explanation:
For an object with measures L (length) by W (width) by H (height) the volume is calculated as:
V = L*W*H
We know that the measures of each toy are: 4in x 3in x 3in
Then the volume of each toy is:
V = 4in*3in*3in = 36in^3
The toy box is 4ft x 2ft x 3 ft
First we should write the measures in the same units as before, we know that:
1ft = 12 in.
Then:
4ft = 4*12 in = 48 in
2ft = 2*12in = 24in
3ft = 3*12in = 36in
Then the measures of the box are:
48in x 24in x 36in
Then the volume of the box is:
V = 48in*24in*36in = 41,472 in^3
Now, the number of toys that can be stored in the box is the same as the number of times that 36in^3 is in 41,472 in^3
this is equal to the quotient between 41,472 in^3 and 36in^3
N = 41,472 in^3/36in^3 = 1,152
1,152 toys can be stored in the box.
What would be the correct order of operations to evaluate the following expression?
Multiply, Multiply, Add, Subtract
Multiply, Add, Subtract, Subtract
Multiply, Subtract, Add, Add
Multiply, Subtract, Add, Subtract
Answer:
d or 4Step-by-step explanation:
Answer:
Multiply,Subtract,Add,Subtract
Step-by-step explanation: Easy, just think
5 time 6 is 30 but what is 5 time 123456789
Answer:
617283945?
Step-by-step explanation:
Answer:
617283945
Step-by-step explanation:
Simple: Use a Calculator
Then: Add an Answer
Need help ASAP swill mark Brainly
Answer:
B
Step-by-step explanation:
Hope it helps!
Answer:
-1 and 1/7
Step-by-step explanation:
hope this helps! have a great day!
answer quick will give 20 points
Answer:
I think c but I'm not sure
Answer:
C: (-3,6)
Step-by-step explanation:
add both equations
5x+2x+2y-2y=-15+(-6)
7x=-21
x=-3
input x=3 into any equation in system and solve for y
2(3)-2y=-6
-2y=-12
y=6
solution: (-3, 6)
Asphere has a radius of 27 inches. A horizontal plane passes through the center of the sphere.
Part 1 out od 2
Describe the cross section formed by the plane and the sphere.
9514 1404 393
Answer:
circle of radius 27 inches
Step-by-step explanation:
Anywhere a plane cuts a sphere, the cross section is a circle. When the plane includes the center of the sphere, the circle has the same radius the sphere has.
The cross section is a circle of radius 27 inches.
Graph the solution set to this inequality 3x -12 >_ 7x+4
Answer:
x [tex]\leq[/tex] -4
Step-by-step explanation:
1. 3x-12 [tex]\geq[/tex] 7x+4
add 12 to 12 to cancel it out, add 12 to 4.
2. 3x [tex]\geq[/tex] 7x+16
subtract 7x from 7x to cancel it out, subtract 7x from 3x.
3. -4x [tex]\geq[/tex] 16
divide -4 from -4x to cancel it out, divide -4 from 16.
4. x [tex]\geq[/tex] -4
since division was involved, the inequality symbol needs to be reversed.
ANSWER: x [tex]\leq[/tex] -4
1/2x+3=2x is...
a)x=6
b)x=4
c)x=2
d)x=1
5) If f(x) = 3x + 4, for which value of x does f(x) = 22
Answer:
6
Step-by-step explanation:
22 = 3x+4
subtract 4 from both sides
18 = 3x
divide both sides by 3
6 = x