Answer:
4
Step-by-step explanation:
GCF = 4
4 × 3 = 12
4 × 2 = 8
Since 4 goes in both, 12 and 8, it is the GCF. Hope this helps, thank you !!
Given that f(x)=x^2-13 and g(x)=5x+1, find (fg)(-1/5)
Answer:
[tex]\displaystyle (fg)(-\frac{1}{5})=0[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=x^2-13\text{ and } g(x)=5x+1[/tex]
And we want to find:
[tex]\displaystyle (fg)(-\frac{1}{5})[/tex]
This is equivalent to:
[tex]\displaystyle =f(-\frac{1}{5})g(-\frac{1}{5})[/tex]
By substitution:
[tex]\displaystyle f(-\frac{1}{5})=(-\frac{1}{5})^2-13=\frac{1}{25}-13=-\frac{324}{25}[/tex]
And:
[tex]\displaystyle g(-\frac{1}{5})=5(-\frac{1}{5})+1=-1+1=0[/tex]
Hence:
[tex]\displaystyle =(-\frac{324}{25})(0)=0[/tex]
Our final answer is:
[tex]\displaystyle (fg)(-\frac{1}{5})=0[/tex]
There are 5 pens in a container on your desk. Among them, 3 will write well but 2 have defective ink cartridges. You will select 2 pens (without replacement) to take to a business appointment. Select the most appropriate statement for each part (a-e) when considering calculating the probability that both pens are defective.
a. Let X: the number of defective pens selected. X is a random variable. [Select ]
b. For each pen chosen from the container, we can consider "Defective" as the success and "Working" as the failure since we are interested in both pens being defective. [ Select] -
c. X is well approximated by a Binomial Random Variable X-Bin(n=2. pi=2/5) True
d. If the first pen was replaced before the second pen was selected (sampling with replacement), then X would be very well approximated by a Binomial Random Variable X-Bin(n=2, pi=2/5) True
e. Had you been drawing 2 pens (without replacement) from a container of 25 pens, X would be better approximated by a Binomial Random Variable.
Answer:
Kindly check explanation
Step-by-step explanation:
Total Number of pens = 5
Number of defective pens = 2
Number of non-defective pens = 3
A.) number of defective pens selected :
X : {0, 1, 2}
It is possible that no defective pen will be selected ; 1 defective will be chosen or both pens are defective.
2.)
Defective as Success (since selecting a defective pen is the point of interest.
3.)
Since selection is done without replacement
Probability of success per selection is different for each selection ;
Number of defective = 2
Number of observations = 5
P(success on first selection) = 2/5
P(success on second selection) = 1/4
Hence, X is not well approximated by a binomial random variable.
4.) if selection is done with replacement ; then then the probability of success per selection will be the Same for each selection made. Hence, X will be well approximated by a binomial Random variable.
5.) If sampling is done without replacement, then the the hypergeometric function will be a more effective approximation.
Explain how to solve the problem y = (xz)/ x for y when x = 3 and z = 2.
Answer:
y=6
standard form
What is the expression that means the same as 7 less than the square of a number? A. 7-2x B. 7-2× C. 7-x2 D. x2-7
Answer:
D
Step-by-step explanation:
7 less than the square of the number means a number squared subtracted by 7, which would be D.
Write an equation that relates the angles in a triangle. The measures of angles X and Y are the same, x degrees. The measure of angle Z is twice the measure of angle Y.
Answer:
4x = 180
Step-by-step explanation:
angle x = angle y so we can say both angles are 'x + x' or '2x'
angle z = twice angle y (or twice angle x because they're equal) so we can say angle z = 2x
2x + 2x = 180
O A
Rx) = 3(x + 1)2 = 2
B.
(x) = -3(x + 1)2 + 2
OC.
Ax) = -3(x + 1)2 - 2
D.
(x) = 3(x - 1)2 + 2
Reset
Find the area of the shaded part of the trapezoid.
Step-by-step explanation:
All you have to do is to multiply the length times width times height to get the area. So its 6 x 20 x q1/4 ft = 30q. Hope this helps.
Please help me nowww
I need this right away!!
there is not enough information to complete the answer
What is the total cost of 1.2 Cubic yards of soil if it sells for $24 per cubic yard?
Answer:
$28.80 I hope that helps if not I'm sorry if it's wrong
Step-by-step explanation:
we write "dollars per cubic yard" as "dollars/yd^3" so that the units "yd^3" will cancel when multiplying by "1.2 yd^3", leaving an answer in units of dollars
24 dollars / yd^3 * 1.2 yd^3 = 28.80
the cost would be $28.80
Which point below is not on the graph of px) = 36-X?
(-13, 7)
(-35, 1)
(11,5)
(27,3)
helppppp ahhhh!!
At the library there is a four hour span of time to use a computer. The time slots are 1/3 hour long. How many time slots are there?
Step-by-step explanation:
[tex] \frac{4 \: hours}{computer} \times \frac{1 \: slot}{ \frac{1}{3} hour } = 12 \: \frac{slots}{computer} [/tex]
Really need help . Find the missing value that makes the two expressions equivalent
Answer:
1. 4
2. 5
3. 9
Step-by-step explanation:
1.
4(x+3y)
4x+12y=4x+12y
2.
5(7x+10y)
35x+50y=35x+50y
3.
9(2x+y)
18x+9y=18x+9y
i hope this helps!
6 less than the number y
Answer:
6 less a number y can be represented by the expression 6 - y
Which graph shows dilation?
Answer:
The First Image
Step-by-step explanation:
A dilation is a type of transformation that enlarges or reduces a figure, therefore in the first Image we see an increase in scale factor of 2.
HELPPPPPPPP!!!!!!!!!!!!!!!!!!!!
Answer:
4
Step-by-step explanation:
- 14 + 30 / 4
16 / 4
16 ÷ 4
= 4
^-^
Answer:
4
Step-by-step explanation:
-2×7=-14
-2×15=-30
-14--30=16
16÷4=4
Find the length of side x in simplest radical form with a rational
denominator.
45°
V5
45°
X
Answer: 10/2
Step-by-step explanation:
Does anyone know?? I'll give a brainliest For the correct answer.
Answer:
its 14
Step-by-step explanation:
because you have 40 bucks then you minus 18 then you divide then u get 14.
Answer:
$14
Step-by-step explanation:
20*2=40
40-12=28
28/2=14
Three sets of data are given below. What is the
median of the ranges?
Data A: -3,2,-5,6,8
Data B: 4,9,6,2
Data C: 8,3,0,4
A) 2
B) 5
C) 7
D) 8
The Coners family are going on a 250 mile road trip. The first day they drive 100 miles. Write an equation with a variable that can be used to find the number of miles remaining.
Answer:
100+x=250 or 250-x=100
Step-by-step explanation:
Calculate the length of AB. *
Answer:
the answer will be 9.6 cm
In the image shown, Line n is a transversal cutting parallel lines and m.
< 3 = x + 50
< 7 - 2x + 20
What is the measure of < 3?
A)
70°
B)
75°
C)
80°
D)
85
Answer:B) . 75°
Step-by-step explanation:dfghjkjhgfdfgty
Answer:
its 80
Step-by-step explanation:
i did it on usa test prep
Can somebody solve this for me please?
Answer:
D
Step-by-step explanation:
Writing and Evaluating an Algebraic Expression Try it five more than the product of two and a number, decreased by seven; evaluate when a = 8
Answer:
7
Step-by-step explanation:
dont trust me i dont know the answer sry
Answer:
ya
Step-by-step explanation:
The ordered pairs show amounts y (in inches) of rainfall equivalent to x inches of snow.(16, 1.5), (12, 1.3), (18, 1.8), (15, 1.5), (20, 2.1),(23, 2.4) About how many inches of rainfall are equivalent to 6 inches of snow? Round your answer to the nearest hundredth, if necessary.
Answer:
0.57 inches of rainfall is equivalent to 6 inches of snow
Step-by-step explanation:
The given data are presented here as follows;
[tex]\begin{array}{cc}x&y\\16&1.5\\12&1.3\\18&1.8\\15&1.5\\20&2.1\\23&2.4\\\end{array}[/tex]
The data points are approximately linear
From the the trend line of the plotted points of the graph, created with Microsoft Excel, with Forecasting, when there is 6 inches of snow the rainfall is 0.575 inches
By linear regression, we have;
Y = a + b·X
Where;
[tex]b = \dfrac{n \cdot \sum XY - \left (\sum X \right ) \cdot \left (\sum Y \right )}{n \cdot \sum X^{2} - \left (\sum X \right )^{2}}[/tex]
[tex]a = \dfrac{\sum Y - b \cdot \sum X}{n}[/tex]
∑x = 104
∑y = 10.6
∑(x·y) = 191.7
(∑x)·(∑y) = 1102.4
(∑x)² = 10816
n = 6
SigX^2 = 1878
Plugging in the values, gives;
[tex]b = \dfrac{6 \times191.7 - 1102.4}{6 \times 1878 - 10816} \approx 0.10575[/tex]
[tex]a = \dfrac{10.6 - 0.10575 \times 104}{6} \approx -0.06637[/tex]
Therefore;
Y = 0.10575·x - 0.06637
When x = 6 inches, we have;
Y = 0.10575 × 6 - 0.06637 = 0.56813
Y = 0.56813 inches ≈ 0.57 inches of rainfall
Therefore;
0.57 inches of rainfall is equivalent to 6 inches of snow
Enter the next 3 terms from the geometric sequence below.
−
2
,
1
,
−
1
2
,
.
Answer:
The next 3 terms from the geometric sequence below.
3
2
,
1
,
0
1
2
,
3
.
Step-by-step explanation:
The next 3 terms of the geometric sequence are [tex]\frac{1}{4} , -\frac{1}{8}, \frac{1}{16}[/tex].
What is a Geometric Sequence?'A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.'
According to the given problem,
The terms are, -2 , 1 , - [tex]\frac{1}{2}[/tex] ....
Now, geometric sequence means that there is a common ratio between the numbers in the sequence.
Common ratio can also be denoted as r.
so, from -2, the next term is -2 × r and the one after this is -2 × r × r and so on.
If we compare, -2 × - [tex]\frac{1}{2}[/tex] = 1
1 × -[tex]\frac{1}{2}[/tex] = -[tex]\frac{1}{2}[/tex]
-[tex]\frac{1}{2}[/tex] × -[tex]\frac{1}{2}[/tex] = [tex]\frac{1}{4}[/tex]
[tex]\frac{1}{4}[/tex] × -[tex]\frac{1}{2}[/tex] = -[tex]\frac{1}{8}[/tex]
-[tex]\frac{1}{8}[/tex] × -[tex]\frac{1}{2}[/tex] = [tex]\frac{1}{16}[/tex]
Hence, we can conclude that the next three terms are, [tex]\frac{1}{4}[/tex] , -[tex]\frac{1}{8}[/tex] , [tex]\frac{1}{16}[/tex].
Learn more about geometric sequence here:
https://brainly.com/question/13008517
#SPJ2
8x6=(8x_)+(8x_)
Complete the question to fine 8x6
Answer:
8 multiply 6 =(8 multiply 3)+(8 multiply 3)=4
Kimberly has $120 to spend at the bookstore. Kimberly buys a hardcover book for $36, as well as some gift cards for her family and friends. Each gift card is $15. How many gift cards can Kimberly buy
Answer:
she can buy 5 more
Step-by-step explanation:
Find the shaded area:
Answer:
Step-by-step explanation:
we have a circle inscribed in a square
Area of the square
Asquare=14*14=196
Acircle=3.14*r^2
r=14/2=7
Acircle=3.14*7^2=153.94
A shaded=196-153.94=42.06
3(4x +2) +3
I need help!!
Thx!
Answer:
12x+9
Hope you got your answer!
18. Which of the following correctly shows 2,354,769 rounded to the nearest ten thousand?
as uve not shown no options it shud be round bout 2350000
Step-by-step explanation:
Answer:
2,350,000
Step-by-step explanation:
this is the answer I believe