I graphed this line below.
Start with an open dot on 7.
The reason we use an open dot is because x
does not equal 7, it is only greater than 7.
So from your open dot, draw an arrow to the right
to represent all numbers greater than 7.
Finally, state your answer in set notation if possible.
It is read as {x: x > 7}.
6 less than the number y
Answer:
6 less a number y can be represented by the expression 6 - y
8x6=(8x_)+(8x_)
Complete the question to fine 8x6
Answer:
8 multiply 6 =(8 multiply 3)+(8 multiply 3)=4
Please help me nowww
I need this right away!!
there is not enough information to complete the answer
You invested $7000 in two accounts paying 7% and 8% annual interest, respectively. If the total interest earned for the year was $536, how much was invested at each rate?
Answer: $4,600 was invested in the 8% account and $2,400 was invested in the 7% account.
Step-by-step explanation:
Let's break this down into simpler terms so you can understand.
You invested $7000 in a 7% and 8% account (always remember: the 'x' variable is always given to the biggest percentage)
Total of interest: 536 (this always goes at the end of the equation, after the equal sign)
Step 1: Let's set up the equation:
Here are how percents are written: (7% = 0.07, 8% = 0.08, other examples: 50% = 0.50)
0.08x + 0.07(7,000-x)=536
You're adding both because you want to see how much each account paid together.
Step 2: Distribute the 0.07 to everything in the parenthesis
0.08x + 0.07(7,000-x)=536
0.08x + 490 - 0.07x =536
Step 3: Combine like terms
0.08x + 490 - 0.07x =536
0.01x + 490 =536
Step 4: Continue combining like terms
0.01x + 490 =536
0.01x = 46
Step 5: Divide both sides by 0.01 to get the 'x' by itself
0.01x = 46
x = 4,600
This answer, x = 4,600, says to us that $4,600 was invested in the 8% account.
To find out how much was invested in the 7% account, just replace the x = 4,600 back into this part of the original equation: 7,000-x
7,000-x
7,000-4,600
2,400
So.. $4,600 was invested in the 8% account and $2,400 was invested in the 7% account.
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.
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]
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
What's 2/5 divided by 1/10?
Please help
Answer:
4
Step-by-step explanation:
That's the answer......
Answer:
2/5 ÷ 1/10 = 4
Hope this helped!
Which point below is not on the graph of px) = 36-X?
(-13, 7)
(-35, 1)
(11,5)
(27,3)
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
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
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
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
Find the solution to the system of equations.
You can use the interactive graph below to find the
solution.
–2x + 2y = -4
3x + 3y = -18
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:
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
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.
a taxi charges $2 per mile and $1 per person. If a ride for 2 people costs $12, how many miles was the ride?
Answer:
5 miles
Step-by-step explanation:
$12 = ($2 per mile) (2 people)
$12 = $2 + $2m (m = mile)
subtract 2 on both sides to eliminate
$12 - $2 = $2 - $2 + 2m
$10 = 2m
divide both sides by 2 to eleminate m
$10 / 2 = 2m / 2
m = 5
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
Can somebody solve this for me please?
Answer:
D
Step-by-step explanation:
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
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.
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
Explain how to solve the problem y = (xz)/ x for y when x = 3 and z = 2.
Answer:
y=6
standard form
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]
3(4x +2) +3
I need help!!
Thx!
Answer:
12x+9
Hope you got your answer!
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:
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
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.