Answer:
x = 0 or x = -4
Step-by-step explanation:
Solve: 6x² +24x = 0
First you can factor this binomial.
6x² +24x = 6x (x + 4) = 0
so x = 0 or x + 4 = 0
x = 0 or x = -4
Find the mean, median, mode, and range of the data set.
23, 31, 26, 27, 25, 28, 23, 23, 25, 29, 29, 29, 25, 22, 30, 23
Answer:
Range: 9
Mode: 23
Median: 25.5
Mean: 26.1
Step-by-step explanation:
Arrange the data set from least to greatest.
22, 23, 23, 23, 23, 25, 25, 25, 26, 27, 28, 29, 29, 29, 30, 31
Range: Highest value - Lowest value =
Mode: The most number listed in the data set, or the listed numbers
Median: The middle number
Mean: finding the average of the data set
Range: 31 - 22 = 9
Mode: 23
Median: 25 + 26 = 51/2 = 25.5
Mean: 22 + 23 + 23 + 23 + 23 + 25 + 25 + 25 + 26 + 27 + 28 + 29 + 29 + 29 + 30 + 31 = 418/16 = 26.125 or 26.1
A certain lot consisting of ten items has three defective items and seven nondefective items. How many possible subsets of 2 items can be chosen from this lot?
21
45
90
Answer:
45
Step-by-step explanation:
The order in which the items are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
How many possible subsets of 2 items can be chosen from this lot?
Combinations of 2 from a set of 10. So
[tex]C_{10,2} = \frac{10!}{2!(10-2)!} = 45[/tex]
Answer:
45
Step-by-step explanation:
Which rule best describes the following pattern?
8, 4, 10, 6, 12, 8, 14, ...
Answer: It decreases by four then go up by six or increase by 6.
Step-by-step explanation:
It shows the alternating increased by 2
It decreases by four then go up by six or increases by 6.
We have given the pattern is
8, 4, 10, 6, 12, 8, 14, ....
We can see that
the first number is 8 and the second is 4
8>4
from 8 to 4 it is decreasing and the 4 to 10 it is increasing and again after 10 it is decreasing a.
What is the meaning of increasing?Increasing means there is a second number is greater than the first number third number is greater than the second number and so on.
There is two pattern
8,10,12,14....
Increasing by 2
4,6,8.....
Increasing by 2
Therefore it shows the alternating increased by 2.
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The diagram below shows a shaded parallelogram drawn inside a rectangle. Using Pythagoras, find the hypotenuse of triangle A and the hypotenuse of triangle B to 1 decimal place.
Answer: 5.9 cm for both triangles.
Step-by-step explanation:
Hi, since the situation forms 2 right triangles we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of a triangle (the longest side of the triangle) and a and b are the other sides.
Replacing with the values given:
c^2 = 3^2 + 5^2
c^2 = 9+25
c^2 = 34
c = √34
c = 5.9 cm
Since both triangles are identical ( same side lengths) the hypotenuse is the same for both, 5.9 cm.
Feel free to ask for more if needed or if you did not understand something.
Consider rectangle ABCD with diagonals BD and AC
intersecting at
Which is true about the angle relationships in the
rectangle? Check all that apply.
BEA and 2 CED are vertical angles and equal
76
ZABE and 2 CBE are complementary angles,
BEC and CED are vertical angles,
-------
BEA and AED are supplementary angles
whose sum is 180°
O
BEC and
AED are adjacent angles,
Answer:
BEA and AED are supplementary angles whose sum is 180°
Step-by-step explanation:
complete question is:
Consider rectangle ABCD with diagonals BD and AC intersecting at E.
Which is true about the angle relationships in the rectangle? Check all that apply.
BEA and 2×CED are vertical angles and equal 76 ABE and 2×CBE are complementary angles, BEC and CED are vertical angles,BEA and AED are supplementary angles whose sum is 180° BEC and AED are adjacent angles,Answer:
it is abd
Step-by-step explanation:
A cube with a volume of 64 cubic meters is scaled by factor of 5.what is the volume of cube in cubic meters?
Which tree diagram shows all of the possible outcomes for tossing a coin and rolling a fair number pyramid that has four sides labelled 1 through 4?
The answer is D.
For a toss of heads you can have a roll of 1, 2, 3 or 4.
and for a toss of tails you could have a roll of 1, 2, 3, or 4
if the area of circle one is equal to the diameter of circle two what is the ratio of the area of circle two to the area of circle one
Answer:
0.7853981634
Step-by-step explanation:
it acually depends on the size of the circle. i asked google and they gave me that answer which is beloow "answer"
Which is equal
(please help asap!)
Answer:
B
Step-by-step explanation:
there
There are
18 girls and
22 boys in a class,one
of them has a letter. The probability that
the
owner
of the letter is a boy is
What is the area of the base
A researcher works on a study that has a population standard deviation of 0.73a sample mean of 84.5 and a sample size of 60 .What is the margin of error with a confidence level of 95%
Answer:
[tex] ME = z_{\alpha/2} \frac{\sigma}{\sqrt{n}}[/tex]
The critical value can be founded in the normal standard distribution table using the value of [tex]\alpha/2 =0.025[/tex] and we got [tex] z_{\alpha/2}=1.96[/tex]. Replacing the info given we got:
[tex] ME = 1.96 \frac{0.73}{\sqrt{60}}= 0.185[/tex]
Step-by-step explanation:
For this case we have the following info given:
[tex] \sigma = 0.73[/tex] represent the population deviation
[tex] \bar X = 84.5[/tex] represent the sample mean
[tex] n =60[/tex] represent the sample size
And we want to find the margin of error for a confidence level of 95%. So then the significance level would be [tex]\alpha=1-0.95 = 0.05[/tex] and [tex]\alpha/2 =0.025[/tex]. The margin of error is given by:
[tex] ME = z_{\alpha/2} \frac{\sigma}{\sqrt{n}}[/tex]
The critical value can be founded in the normal standard distribution table using the value of [tex]\alpha/2 =0.025[/tex] and we got [tex] z_{\alpha/2}=1.96[/tex]. Replacing the info given we got:
[tex] ME = 1.96 \frac{0.73}{\sqrt{60}}= 0.185[/tex]
Two distinct number cubes, one red and one blue, are rolled together. Each number cube has sides numbered 1 through 6.
What is the probability that the outcome of the roll is a sum that is a multiple of 6 or a sum that is a multiple of 4?
Enter your answer, in simplest fraction form, in the box.
Answer:
7/18
Step-by-step explanation:
First we need to find what values of sum we can have.
The minimum value for a cube is 1, so the minimum value for the sum is 2.
The maximum value for a cube is 6, so the maximum value for the sum is 12.
Now, we find the multiples of 6 and the multiples of 4 between 2 and 12:
4, 6, 8, 12.
To have a sum of 4, we can have the pairs:
(1,3), (2,2), (3,1)
To have a sum of 6, we can have the pairs:
(1,5), (2,4), (3,3), (4,2), (5,1)
To have a sum of 8, we can have the pairs:
(2,6), (3,5), (4,4), (5,3), (6,2)
To have a sum of 12, we can have the pairs:
(6,6)
So we have 14 pairs among the 36 (6 possibilities of each cube, so 6*6=36) total possibilities of pairs, so the probability is P = 14/36 = 7/18
The probability that the outcome of the roll is a sum that is a multiple of 6 or a sum that is a multiple of 4 is, [tex]P(E)=\frac{14}{36}=\frac{7}{18}[/tex]
The probability of any event is computed as divide number of favourable outcomes by total number of outcomes.
The sum that is a multiple of 6 or a sum that is a multiple of 4 are 4, 6, 8 and 12.
For sum of 4, we can have the pairs = (1,3), (2,2), (3,1)
For sum of 6, we can have the pairs: = (1,5), (2,4), (3,3), (4,2), (5,1)
For sum of 8, we can have the pairs = (2,6), (3,5), (4,4), (5,3), (6,2)
For sum of 12, we can have the pairs = (6,6)
Total number of favourable outcomes = 14
When two distinct number cubes are rolled. then,
Total number of outcomes [tex]=6^{2}=36[/tex]
The probability that the outcome of the roll is a sum that is a multiple of 6 or a sum that is a multiple of 4,
[tex]P(E)=\frac{14}{36}=\frac{7}{18}[/tex]
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A family has three children. The oldest child is 4 years older than the
middle child, and the youngest child is 2 years younger than the
middle child. The sum of the ages of the children is 26.
R
How many years old is the youngest child?
years old
Q
Answer:6 years
Step-by-step explanation:
Given
A family has 3 children
Suppose the age of middle child is [tex]x[/tex]
According to the question, Age of oldest child is [tex]=x+4[/tex]
Eldest child age [tex]=x-2[/tex]
Sum of the ages of children is [tex]26[/tex]
[tex]x+4+x+x-2=26[/tex]
[tex]3x+2=26[/tex]
[tex]3x=24[/tex]
[tex]x=8[/tex]
Therefore age of youngest child is [tex]x-2=8-2=6\ years[/tex]
Eloise is designing a triangular flag. Is it possible to design more than one flag with side lengths of 27 inches and 40 inches and an included angle of50°? Explain. *
Answer:
Step-by-step explanation:
The given triangular flag has two given sides and an angle. Since the lengths of the sides and the size of the angle are known, it means that Eloise can design only one triangular flag. This is because the lengths cannot be altered. Also, the size of the angle is always the same. If the sizes of the three angles were known and the length of the sides were unknown, different sizes of the triangular flags can be produced with the angles remaining constant.
Find the first four terms in the sequence an=15+6n.
A. 18, 12, 6, 0
B. 20, 26, 32, 38
C. 21, 27, 33, 39
D. 20, 14, 8, 2
The first four terms in the sequence an=15+6n are 21, 27, 33, and 39.
The correct option is C. 21, 27, 33, 39
From the question, the equation to calculate the nth term is given which is
an=15+6n.
Now, let a1, a2, a3 and a4 denote the first, second, third and fourth terms respectively.
For the first term, a1
n = 1,
From the given equation, an=15+6n
∴ a1 = 15 + 6(1)
a1 = 15 + 6
a1 = 21
∴The first term is 21
For the second term, a2
n = 2,
From the given equation, an=15+6n
∴ a2 = 15 + 6(2)
a2 = 15 + 12
a2 = 27
∴The second term is 27
For the third term, a3
n = 3,
From the given equation, an=15+6n
∴ a3 = 15 + 6(3)
a3 = 15 + 18
a3 = 33
∴The third term is 33
For the fourth term, a4
n = 4,
From the given equation, an=15+6n
∴ a4 = 15 + 6(4)
a4 = 15 + 24
a4 = 39
∴The fourth term is 39
Hence, the first four terms in the sequence an=15+6n are 21, 27, 33, and 39.
The correct option is C. 21, 27, 33, 39
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A survey showed that 7/15 of a class liked soccer and 2/5 liked baseball. Which sport was liked less?
Answer:
baseball my guy
Step-by-step explanation:QUICK MATHS
Answer: baseball is liked less
Step-by-step explanation: its liked less because the common denominator is 15 and whatever you times the bottom by you times the top by. so 2/5 x 3= 6/15<7/15 hope that helped!:)
HELPPPPP I HAVE NO CLUE ON WHAT TO DO
Answer:
B 86
Step-by-step explanation:
ABCD = EFGH
A = E
B = F
C = G
D = H
Unit 5. 8) Please help. Which of the two-dimensional cross sections listed below could be created by cutting a cube with a plane?
Select all that apply.
Answer:
hexagonrectanglesquaretrianglepentagonStep-by-step explanation:
Only a straight line can be formed at the intersection of a plane with another plane. The faces of a cube are planes, so a 2-dimensional (planar) cross section of a cube cannot be a curve. It cannot be an ellipse or circle.
What polygons are possible?The intersection of a plane with a cube can be a polygon with 3, 4, 5, or 6 sides. That is, the 2-D cross section of a cube can be ...
triangle, rectangle, square, pentagon, hexagon
__
The attachment shows some possibilities.
Antonio has a CD-player that holds six CDs. He puts six different CDs in the player and the CD player randomly plays a song from any of the CDs. What is the probability that the CD player will play the first song from the first CD and the first song from the sixth CD? Write your answer as a fraction.
Answer:
I'm not sure if this is correct, but I would say 2/6. You could further simplify that to 1/3
Step-by-step explanation:
There are 6 CDs, and it is asking the probability that it will play the first song from the first CD, and the first song from the first song from the 6th CD. That is where we get our 2.
Sorry if that was a bad explanation, I have trouble with explaining stuff.
Let me know if this is correct or not-
Answer:
one over six.
Step-by-step explanation:
If the player only play a CD one time.
Then let one decided by six.
Therefore the answer as a fraction is one over six.
2 rectangular prisms. One prism has a length of 6 meters, width of 5 meters, and height of 5 meters. The other prism has a length of 4 meters, width of 5 meters, and height of 7 meters.
What is the volume of the figure?
116 m3
190 m3
290 m3
390 m3
Answer:
the answer is 290 m3 i hope you guys have a good day today <3
Answer:
C
Step-by-step explanation:
edge
If a circle has a diameter of 30 meters, which expression gives its area in
scuare meters
Answer:
A = pi (15)^2
Step-by-step explanation:
The diameter is 30
The radius is 1/2 of the diameter
r = d/2 =30/2 = 15
The area of a circle is
A = pi r^2
A = pi (15)^2
A = 225 pi
Answer:B
Step-by-step explanation: 30 is the diameter so we divide it by 2 to get 15 which is the radius. Radius to the power of 2 times pi is how you get area so 15^2 times pie equals area.
Melanie earned $39 at her job when she worked for 3 hours. What was her hourly pay
rate in dollars per hour? Express your answer in simplest form.
Answer:
13
Step-by-step explanation:
To find the unit pay
you first had to do 39/3 (39 divided by 3) and then that answer you get is payment she receives in an hour
hour: 1 | 3
Pays: 13| 39
HOPE IT HELPS:)
A store buys shirts from a distributor for $10 each and marks them up 50%. After selling them for 3 weeks, they put them on sale for 50% off. Is the discounted price $10?
Answer:
No, it’s 7.50
Step-by-step explanation:
The discounted price is 7.5, but according to question the discounted price is $10. Therefore given statement is wrong.
What is percentage?Percentage is a measurement to find value of given number out of hundred.
Given that,
Cost price of one shirt = $10.
Also, Shopkeeper marks up 50 % on shirts.
Marked up price = 10 x 50% = 10 x 50 / 100 = $15
Since, shopkeeper gives discount as put the shirts on sale for 50% off.
So the price after giving discount = 15 x 50 / 100 = 7.5
The discounted price of shirt is 7.5.
Hence, the given statement that is discount price is $10 is incorrect.
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What is 1200 milligrams converted into grams
Answer:
The answer is 1.2 grams.
Step-by-step explanation: So 1,000 milligrams is 1 gram. So to get this answer you divide 1200 milligrams by 1000 and that gives you 1.2 grams for 1200 milligrams.
The equation of line a is y=-1/4x+3 if line b runs perpendicular theough (2,6) what would be the equation of line b ?
Answer:
The formula of this perpendicular line is y = 4x - 2
Step-by-step explanation:
In y = -1/4x+3 the gradient is -1/4.
If two lines are perpendicular, then their gradients will multiply together to give -1.
Use this to find the gradient a of the perpendicular line.
-1/4 * a = -1
a = -1 * -4 so the gradient a of the perpendicular line = 4.
Substitute (2,6) in y = 4x + b, to find the value of b.
y = 4x + b
(2,6)
6 = (4*2) + b
b = 6 - (8)
b = -2
So now we have our equation.
The formula of this perpendicular line is y = 4x - 2
What
are the quotient and remainder of (5x^4+5x^2 +5)/(x^2-x+1)?
Answer:
Quotient is [tex]5(x^2+x+1)[/tex] and remainder is 0.
Step-by-step explanation:
Given: [tex]\frac{5x^4+5x^2+5}{x^2-x+1}[/tex]
To find: quotient and remainder
Solution:
In the given question,
Dividend = [tex]5x^4+5x^2+5[/tex]
Divisor = [tex]x^2-x+1[/tex]
[tex]\frac{5x^4+5x^2+5}{x^2-x+1}\\=\frac{5(x^4+x^2+1)}{x^2-x+1}\\=\frac{5[x^2(x^2+1)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+x+1)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x^3+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x(x^2)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x(x^2-x+1+x-1)+1]}{x^2-x+1}\\=\frac{5[x^2(x^2-x+1)+x(x^2-x+1)+(x^2-x+1)]}{x^2-x+1}\\=\frac{5[(x^2-x+1)(x^2+x+1)}{x^2-x+1} \\=5(x^2+x+1)[/tex]
So, quotient is [tex]5(x^2+x+1)[/tex] and remainder is 0.
Can you pleasee help me with the Screenshot Below its Overdue.
Answer:
what grade is this its and your answer is
Step-by-step explanation:
13/5 63/1 A = X
a) -3 · x = -21
b) -7x + 16 = 2x - 20
help pls
Terry's investment of $2,200 in the stock market earned $528 in two years. Find the simple interest rate for the investment
Answer:
24%
Step-by-step explanation:
Answer:
24%
Step-by-step explanation:
t = ???
P = 2,200
I = 528
r = 12%
528 = 2,200(t x 1)
t = 528/2,200
t = 0.24
t = 0.24 x 100 = 24%
You're welcome.
