Answer:
y = 0, -2
Step-by-step explanation:
Factor out the common term 3y.
[tex]3y( {y}^{2} + 4y + 4) = 0[/tex]
Rewrite y² + 4y + 4 in the form of a² + 2ab + b², where a = y and b = 2.
[tex]3y( {y}^{2} + 2(y)(2) + {2}^{2} ) = 0[/tex]
Use square sum: (a + b)² = a² + 2ab + b².
[tex]3y(y + 2) ^{2} = 0[/tex]
solve for y.
y = 0, -2.
therefor, the answer for this equation is 0, - 2.
Timothy has the following ingredients to mix together to make packages of fruit snacks: 112
1
1
2
pounds of apricots, 312
3
1
2
pounds of grapes, and 2 pounds of raspberries.
How many 14
1
4
-pound packages can he make?
Answer:
The answer I keep getting is 28 because when you add all the pounds it ends up as 7 and and you need to divide that by 1/4 which will be 7x4 be a vs he of the reciprocal so it is 28
hope this helps!!!!!!! :)
Step-by-step explanation:
Avery has 6 yards of ribbon. He needs 1/3 yard to make 1 bow.
How many bows can Avery make
Need help!! algebra!!!
Part A: The area of a square is (4a2 − 20a + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)
Part B: The area of a rectangle is (9a2 − 16b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answer:
The length of each side is (2a-5) units
Step-by-step explanation:
4a^2 - 20a +25
= (2a)^2 - 20a + (-5)^2
=(2a - 5)^2
(9a^2 - 16b^2)
= (3a)^2 - (4b)^2 this is the difference of two squares, the factors are therefore
= (3a + 4b) * (3a - 4b)
The dimensions of the rectangle are:
one pair of opposite sides are 3a + 4b
and the other pair of opposite side perpendicular to the first pair is 3a - 4b
Answer:
Step-by-step explanation:
Find the slope and the y-intercept of the line
y=-2x+8
Answer:
Slope: -2 and Y-int: 8
Step-by-step explanation:
An attic wall is in the shape of a trapezoid. The bases are 12 ft and 25 ft. The area is 185 square feet. What is the height? A = 1/2 h (b + b)
Answer: b = 2A - B
Step-by-step explanation:
2. A = 2 . 1/2 . h (B + b)
2A = h (B+b)
2A/= h/h . (B+b)
2A/h = B+b
2A - B = B - +b
b = 2A - B
Patricia and Whitney began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Patricia took a test in English and earned a 76.5, and Whitney took a test in Math and earned a 64.5. Use the fact that all the students' test grades in the English class had a mean of 73.1 and a standard deviation of 10.5, and all the students' test grades in Math had a mean of 60.9 and a standard deviation of 10.7 to answer the following questions.
a. Calculate the Z-score for Kimberly's test grade.
b. Calculate the z-score for Karina's test grade.
c. Which person did relatively better?
Answer:
a) The Z-score for Patricia's test grade is 0.32.
b) The z-score for Whitney's test grade is of 0.34.
c) Due to the higher z-score, Whitney's did relatively better.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
a. Calculate the Z-score for Patricia's test grade.
Patricia took a test in English and earned a 76.5. Students' test grades in the English class had a mean of 73.1 and a standard deviation of 10.5.
This means that [tex]X = 76.5, \mu = 73.1, \sigma = 10.5[/tex]
The z-score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{76.5 - 73.1}{10.5}[/tex]
[tex]Z = 0.32[/tex]
The Z-score for Patricia's test grade is 0.32.
b. Calculate the z-score for Whitney's test grade.
Whitney took a test in Math and earned a 64.5. Students' test grades in Math had a mean of 60.9 and a standard deviation of 10.7.
This means that [tex]X = 64.5, \mu = 60.9, \sigma = 10.7[/tex]
The z-score is:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{64.5 - 60.9}{10.7}[/tex]
[tex]Z = 0.34[/tex]
The z-score for Whitney's test grade is of 0.34.
c. Which person did relatively better?
Due to the higher z-score, Whitney's did relatively better.
Find the measure of each interior angle of the shown figure *
Step-by-step explanation:
Formula to find interior angles of regular polygon=(n-2)180×n
N= number of sides
in figure sides are 5
So,
(5-2)×180
3×180
540 Answer
Answer:
108°
Step-by-step explanation:
Measure of each interior angle
[tex] = \frac{(n - 2) \times 180 \degree}{n} \\ \\ = \frac{(5 - 2) \times 180 \degree}{5} \\ \\ = \frac{3\times 180 \degree}{5} \\ \\ = \frac{540\degree}{5} \\ \\ = 108 \degree[/tex]
Compared to last month there was a 50% increase in the number of houses sold this month
Answer:
this is either a random fact or unfinished question. its probably caused by population increase
Step-by-step explanation:
PLS SHOW YOUR REASONING ASAP
Answer:
(assuming you are knowledge about Pythagoras theorem)
44.205
Step-by-step explanation:
draw the altitude line to the upper right corner and the lower left corner and you have 2 identical right triangles and a rectangle. If you solve the third side of the right triangles you get 1.685 (sqrt[7.2^2 - 7^2]).
now add up the areas of both triangles and the rectangle in the center whose base is 4.63 (subtract the 3rd side from 8)
you have
1.685(7) + 7(4.63)
In this activity, you will predict the probability of an event from the relative frequency of the event. Pablo has some one-, five-, ten-, and twenty-dollar bills in his wallet. He randomly pulls one bill out of his wallet and replaces it. He does this 40 times as part of an experiment. The table shows the number of times Pablo pulls out each bill.
Bill Value Number of Times Picked
$1 6
$5 16
$10 10
$20 8
Part A
What is the relative frequency of drawing a one-dollar bill?
Part B
What is the relative frequency of drawing a five-dollar bill?
Part C
What is the relative frequency of drawing a ten-dollar bill?
Part D
What is the relative frequency of drawing a twenty-dollar bill?
Part E
Which type of bill is Pablo most likely to have the most of? How do you know?
Part F
Which type of bill is Pablo most likely to have the least of? How do you know?
Part G
Would you be surprised if Pablo had fewer twenty-dollar bills than one-dollar bills? What if he had fewer tens than ones? Why or why not?
Answer:
Part A
6/40 = 0.15
Part B
16/40 = 0.4
Part C
10/40 = 0.25
Part D
8/40 = 0.20
Part E
The relative frequency of drawing a five-dollar bill is higher than the other relative frequencies. So, I can predict that Pablo is most likely to have more five-dollar bills than any of the others.
Part F
The relative frequency of drawing a one-dollar bill is lower than the other relative frequencies. So, I can predict that Pablo is most likely to have fewer one-dollar bills than bills of any other denomination.
Part G
It would not be a surprise if Pablo had fewer twenties than ones. The experiment was conducted only 40 times, and the numbers of times one-, ten-, and twenty-dollar bills were drawn are not very far apart. So, the number of twenties could be more or less than the number of ones. The same goes for tens and ones.
If you're on Plato an on slide 20 this Answer is for you:
If Pablo does an experiment 100 times, will the relative frequency be more accurate or less accurate than if he did the experiment 40 times? Why?
Answer: As the number of trials increases, the relative frequency becomes closer to the probability of the event. So, the relative frequency would be more accurate if the experiment were repeated 100 times rather than 40 times.
6 + 7 ?
EASY ! Your welcome !
Answer:
the correct answer is 13
Answer:
13.
Step-by-step explanation:
P(A) = 20%. P(B) = 50%. P(BIA) = P(B). What is P(A and B)?
Answer:
P(A and B) = 0.1 = 10%
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question, we have that:
[tex]P(A) = 0.2, P(B|A) = 0.5[/tex]
What is P(A and B)?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = P(B|A)*P(A) = 0.5*0.2 = 0.1[/tex]
P(A and B) = 0.1 = 10%
A rectangular room is 5 meters longer than it is wide, and its perimeter is 22 meters. Find the dimension of
the room.
Answer:
The dimension of the room is 8m by 3m
The length and width of the rectangle are 8 meters and 2 meters.
Given,
A rectangular room is 5 meters longer than it is wide.
Perimeter = 22 meters.
We need to find the dimension of the room.
What is the perimeter of a rectangle?A rectangle perimeter is given by :
P = 2 ( length + wide )
Find the length and width of the rectangle.
Let width = W
Let length = L
L = W + 5
Find the perimeter of the rectangle.
P = 2 ( L + W )
P = 22
22 = 2 ( W + 5 + W )
Divide both sides by 2.
11 = W + 5 + W
11 = 2W + 5
Subtract 5 on both sides.
11 - 5 = 2W + 5 - 5
6 = 2W
Divide both sides by 2.
3 = W
W = 3
We see that W = 2 and L = W + 5 = 3 + 5 = 8.
Thus the length and width of the rectangle are 8 meters and 2 meters.
Learn more about the perimeter of a rectangle here:
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Please HELP!! Need answer ASAP
Answer:
last option: answer is 'x'
Step-by-step explanation:
(3x + 1 - 1) / 3 = 3x / 3 = x
Can y’all help me? I would really appreciate it
Answer:
I think the answer is she
In parallelogram ABCD, the coordinates of A are (3,-1) and the coordinates of C are (-1,5). What are the coordinates of the point of intersection of the diagonals?
What is the equation of the graph below?
Answer:
y = sin(x + 90°)
Step-by-step explanation:
cos 0 = 1
Since the point (0, 1) is on the graph, this graph is y = cos x, but that is not a choice, so this must be the graph of the sine function with a horizontal translation.
sin 0 = 0
sin 90° = 1
The translation is 90°.
Answer: y = sin(x + 90°)
Select the formula for the
xth term of the sequence.
screen shot -
Answer:
Option (3)
Step-by-step explanation:
Given sequence is,
8, -8, 8,...........
Ratio of the 2nd and 1st term = [tex]\frac{-8}{8}[/tex]
= -1
Ratio of 3rd and 2nd term = [tex]\frac{8}{-8}[/tex]
= -1
Therefore, there is a common ratio 'r' = (-1)
And the sequence is a geometric sequence.
Explicit formula for the nth term of a geometric sequence is given by,
[tex]T_n=a(r)^{n-1}[/tex]
Here, 'a' = First term of the sequence
r = Common ratio
n = nth term
For the given sequence xth term of the sequence will be,
[tex]T_x=8(-1)^{x-1}[/tex]
Option (3) will be the answer.
Hi please help me with this!
Answer:
it's a and d
Step-by-step explanation:
a.....................
Here are the shoe sizes of 11 people. 7 8 4 4 4 10 5 7 7 4 4 Write down the mode
Answer:
4 is the mode for this question
A wasp is a flying insect. In wasps, wing length is coded for by a single gene. Two scientists studying wasps hypothesize that short wings are recessive to long wings. Which of the following observations best supports this hypothesis?
Wasps with long wings are less likely to survive.
Wasps with long wings can produce offspring with short wings.
Wasps have wing lengths ranging from very long to very short.
Wasps with short wings prefer to mate with wasps with long wings.
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Answer:
should be C
Step-by-step explanation:
evaluate the math problem ?
What are the coordinates of point A?
1.(5,2,0)
2.(5,0,2)
3.(0,2,5)
4.(2,0,5)
The coordinates of point A are (2, 0, 5).
Then the correct option is the fourth one.
How to get the coordinates of point A?The general notation for a point on 3 dimensions is (x, y, z).
First, notice that the vertical axis is the Z-axis, the axis that points towards us is the x-axis, the axis that points to the right is the y-axis.
First, we can see that the x-value of A is x = 2.
The z-value of A is z = 5.
And A lies on the plane x_z, then the y-value is y = 0.
Then the coordinates of point A are (2, 0, 5).
So the correct option is 4.
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Find the perimeter of the figure. AND I'LL MAKE YOU THE BRAINIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
97 cm
Step-by-step explanation:
The perimeter is the sum of the side lengths. Starting from the upper left corner and working clockwise, the side lengths are ...
10 +3 +33 +15 +33 +3 = 25+2(36) = 97 . . . cm
The perimeter of the figure is 97 cm.
Four hundred five trillion eighty-four million thirty thousand in numbers?
You are standing 6 feet away from the stage and your friend is standing 7 feet away from the stage.
Answer:
Step-by-step explanation:
Yo diría que Messi
-12 + ( ) = 9 whats the missing number
Answer:
The missing number is 21
Step-by-step explanation:
-12 + x = 9
x = 9 + 12
x = 21
Answer:
21
Step-by-step explanation:
let X = ( )
-12 + X = 9
X = 9 + 12
X = 21
the probability that sandra gets a ride to work on any morning is 0.7. the probability that she gets a ride 3 times in a 5-day week is , abd the probability that she gets a ride at least 2 times in a 5-day workweek is .
Answer: 0.309, 0.969.
Step-by-step explanation: plato answer
please ????? help mdjshd
What is the value of p-12=14
Answer:
the value of p? its 26 because 26-12=14
Step-by-step explanation:
Answer:
p = 26
Step-by-step explanation:
p -12 + 12 = 14 + 12
p = 26