Sue chooses a dress to wear when she goes out with her parents, but she can wear it only if her parents approve. The probability that Sue selects a black dress is 40%. The probability that Sue's parents approve when she chooses a black dress is 30%. What is the probability that Sue chooses a black dress and her parents approve?
Answers
30% = 0.3
0.3*0.4 = 0.12
0.12 = 12%
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The school has budgeted $2000 for an end- of year party at the local park.the cost to rent the park is $150.how much can the student council spend per student on food if each of thde 225 students recieives a $3.50 gift?PLEASE HELP ID UNDERTSAND.....
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Miguel has $20. If he spends $7.25 on a movie ticket, $3.95 for snacks and $1.75 for bus fare each way , how much money will he have left?
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Answers
Answer:
Step-by-step explanation:
The distributive says that:
To find the product of :
then;
Using distributive property we have;
Combine like terms;
Therefore, the product of is,
The product of (2x - 1)(x + 4) is .
Here, we have,
To find the product (2x - 1)(x + 4), we need to use the distributive property to multiply each term in the first expression (2x - 1) by each term in the second expression (x + 4).
Using the FOIL method (First, Outer, Inner, Last), we multiply the corresponding terms:
(First terms)
(2x) * (4) = 8x (Outer terms)
(-1) * (x) = -x (Inner terms)
(-1) * (4) = -4 (Last terms)
Now, we combine the products:
Simplifying further:
So, the product of (2x - 1)(x + 4) is .
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complete question:
What is the product? (2x – 1)(x + 4)=?
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a.) Accurately sketch the plane on the set of axes, showing all your calculations below.
b.) The three planes of the axes and the plane you have sketched create a triangular pyramid. Find the volume of this pyramid, showing the formula you are using and all
calculations below.
My Answer:
a. I started off by finding my x-intercept. To find my x-intercept I substituted y and z with 0. So: x + 3(0) + 2(0) = 6. After multiplying and adding, I end up with x = 6. So my x-intercept is (6, 0, 0,). T find my y-intercept I substituted x and z with 0. So: 0 + 3y + 2(0) = 6. After multiplying and adding, we come up with 3y = 6. Now we divide each side by 3 to get y = 2. So my y-intercept is (0, 2, 0). To find my z-intercept, I substituted x and y with 0. So, 0 + 3(0) + 2z = 6. After multiplying and adding, I get 2z = 6. Now I divide each side by 2 to get z = 3. So my z-intercpet is (0, 0, 3). After I plotted the points and connected them, they formed a triangular pyramid.
So thats how much i got. I cant seem to figure out how to get the volume. please help.
Answers
Answer:
Volume of the pyramid = 6 cubic units
Step-by-step explanation:
The volume of a triangular pyramid is: V = (1/3)*A*H
where A is the area of the triangle base, and H is the height of the pyramid.
Taking the triangle formed in the x-y plane as the base, its area is computed as follows:
A = (1/2)*6*2 = 6 square units
where 6 and 2 are the measure of the two perpendicular sides of the triangle. This is taken from the x-intercept point (6, 0, 0) and y-intercept point (0, 2, 0).
The height of the pyramid is then the measure of the z-intercept point (0, 0, 3), that is, 3. Replacing in volume formula:
V = (1/3)*A*H
V = (1/3)*6*3
V = 6 cubic units
x + 3y + 2z = 6
x + 3(0) + 2(0) = 6
x + 0 + 0 = 6
x + 0 = 6
- 0 - 0
x = 6
X - Intercept: (6, 0, 0)
Y - Intercept
x + 3y + 2z = 6
0 + 3y + 2(0) = 6
0 + 3y + 0 = 6
0 + 0 + 3y = 6
0 + 3y = 6
- 0 - 0
3y = 6
3 3
y = 2
Y - Intercept: (0, 2, 0)
Z - Intercept
x + 3y + 2z = 6
0 + 3(0) 2z = 6
0 + 0 + 2z = 6
0 + 2z = 6
- 0 - 0
2z = 6
2 2
z = 3
Z - Intercept: (0, 0, 3)
Volume of the X - Intercept, Y - Intercept, and Z - Intercept
V = ¹/₃(¹/₂lwh)
V = ¹/₃(¹/₂(6)(2)(3))
V = ¹/₃(¹/₂(12)(3))
V = ¹/₃(¹/₂(36))
V = ¹/₃(18)
V = 6 u³
Thank you!!
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about baseball.
I know it's called a baseball "diamond", but is it really a square ?
I mean is the distance from Home to 2nd base the same as the
distance between 1st and 3rd base ?
You know what ? If it's not a square, then we don't have enough
information to solve this problem. But since they gave it to you to
solve, with just that much information, I guess it must be square.
OK. The baseball diamond is actually a square ... at least THIS
one is.
That means there's a right angle at each base.
Great !
Get your scissors and carefully cut the baseball diamond in half,
along the line from Home to 2nd base. Then throw away one half.
Now what do you hold in your hand ?
It's a right triangle. The legs are the two 90-ft base lines, the right angle
is at that base, and the hypotenuse is the line from Home to 2nd base ...
exactly the distance the catcher has to throw to Second.
Can you find the length of the hypotenuse when the legs are both 90 ft ?
Remember the hypotenuse is
the square root of (one leg squared plus the other leg squared).
You can finish it off from here. Take it, Braydon !
Answers
Answer: The maximum number of people they could have at the party is 18.
Step-by-step explanation:
$250 - $75 = $175
$175 - $47 = $128
$128 / $7 = 18.28
Hope this helps:)