Answer:
[tex]\frac{28x}{9}[/tex]
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
[tex]\frac{8x}{3} /\frac{6}{7}[/tex]
Step 2: KCF (Keep Change Flip)
[tex]\frac{8x}{3} (\frac{7}{6})[/tex]
Step 3: Multiply
[tex]\frac{56x}{18}[/tex]
Step 4: Simplify
[tex]\frac{28x}{9}[/tex]
Answer:
28x/9
Step-by-step explanation:
Dividing a fraction by fraction is the same as multiplying a fraction by the other fraction's reciprocal:
Here is the formula:
[tex]\frac{x}{y} / \frac{a}{b} = \frac{x}{y} * \frac{b}{a}[/tex]
Thus, [tex]\frac{8x}{3} / \frac{6}{7} = \frac{8x}{3} * \frac{7}{6}[/tex]
8x * 7 = 56x and 3* 6 is 18, so:
[tex]\frac{56x}{18}[/tex]
It can be further simplified by dividing both numerator and denominator by 2:
[tex]\frac{28x}{9}[/tex]
If LN=3+8x, find LN
L•——–8•——M——6x-1——–•N
Answer:
Value of LN = 19 units
Step-by-step explanation:
Given:
LN = 3 + 8x
Find:
Value of LN
Computation:
We know that LM + MN = LN
So,
8 + 6x - 1 = LN
So,
3 + 8x = 8 + 6x - 1
3 + 8x = 7 + 6x
8x - 6x = 7 - 3
2x = 4
x = 2
So,
LN = 3 + 8x
LN = 3 + 8(2)
LN = 3 + 16
LN = 19
Value of LN = 19 units
QUIZ 2: Learning about
The symbols used to enclose the elements of a set are called:
parenthesis
braces
commas.
johnny makes $8.25 an hour working at the local restaurant his paycheck shows that he works 29.5 hours for the past week how much did Johnny make not rounded to the nearest cent A: $232.125 B: $243.375 C: $247.525 D: $248.625 NEED ANSWERS ASAP
Answer:
$243.375
Step-by-step explanation:
multiply 8.25 by 29.5
in a right angle triangle h is 24 . perimeter 45. find both side
Answer:
The length of each side is 10.5
Step-by-step explanation:
If you mean h as in the hypotenuse:
perimeter= 45 side h= 24 find x
45 - 24 = 2x
21 = 2x
/2 /2
10.5 = x
Peter mixes 4 1/3 cups of orange juice, 2 1/3 cups of ginger ale, and 6 1/2 cups of strawberry lemonade to make some punch. What is
the total number of cups of punch that Peter makes?
Answer:
13 1/6 cups.
Step-by-step explanation:
4 1/3 + 2 1/3 + 6 1/2
= 4 + 2 + 6 + 1/3 + 1/3 + 1/2
= 12 + 2/6 + 2/6 + 3/6
= 12 + 7/6
= 12 + 1 1/6
= 13 1/6.
Answer:
13 1/6
Step-by-step explanation:
Graph the image of the given triangle after the transformation with the rule (x, y)→(y, x). Select the "Polygon" button from the tool bar to plot your triangle. You may use the "Move" button to move the triangle after it is created.
Answer:
Your coordinates would be:
(1,8) (1,5) (5,8)
Hope this helps!
Answer:
Actually its (1,8) (1,5) (6,8)
Step-by-step explanation:
The red part is incorrect, the orange is the correct one. I got it wrong.
What is the best estimate for 1/5x24.5?
Answer:
5.
Step-by-step explanation:
24.5 is close to 25 and 25 * 1/5 = 5.
What is the best estimate of the number corresponding to A?
A
1
2
3
4
0 2.6
0 2.4
0 2.2
2.3
Answer:
2.6
Step-by-step explanation:
Let us assume that the unit of measurement is centimetre (cm)
To obtain the value of A, do the following:
From the diagram above, we can say that the scale is 5 cm to 1 unit since there are 5 lines before a number.
Next, we shall determine the value of 1 cm.
5 cm = 1 unit
Therefore,
1 cm = 1/5 = 0.2 unit
This means that 1 small line is equivalent to 0.2 unit.
Now we shall determine A as follow:
A is exactly 3 lines (3 cm) after number 2.
1 cm = 0.2 unit
3 cm = 3 x 0.2 = 0.6 unit
Now, add 0.6 to 2 to obtain the value of A.
A = 2 + 0.6
A = 2.6
Therefore, A correspond to 2.6
The data show the list and selling prices for several expensive homes. Find the regression equation, letting the first variable be the independent (x) variable. Find the best predicted selling price of a home having a list price of $ million. Use a significance level of 0.05.
Answer:
The best predicted selling price of a home having a list price of $22 million is $20.52 million.
Step-by-step explanation:
The missing data is:
List price (x) (millions of $)
(1) 1.6 (2) 4.2 (3) 2.1 (4) 1.6 (5) 2.3 (6) 4
Selling price (y) (millions of $)
(1) 2 (2) 4.6 (3) 1.8 (4) 1.9 (5) 2.4 (6) 3.6
Use Excel to perform the regression analysis.
The significance level is, α = 0.05.
The regression output is attached below.
The regression equation is:
[tex]\hat y=0.28+0.92x[/tex]
The value of t-statistic is:
t = 0.676.
The p-value is:
p-value = 0.536
Compute the predicted selling price of a home having a list price of $22 million as follows:
[tex]\hat y=0.28+0.92x[/tex]
[tex]=0.28+0.92\times 22\\\\=0.28+20.24\\\\=20.52\ \text{million}[/tex]
Thus, the best predicted selling price of a home having a list price of $22 million is $20.52 million.
Estimate the value of each each expression to the nearest integer
Answer:
Step-by-step explanation:
14. 2
15. 3
16. -5
17. -11
Which of the following sets are equal to {x | x < 9 and x >2}
Question 2 options:
{3, 4, 5, 6, 7, 8}
{2, 3, 4, 5, 6, 7, 8, 9}
{8, 7, 6, 5, 3}
{ }
{2, 3, 4, 5, 6, 7}
Answer:
{3, 4, 5, 6, 7, 8} and {8, 7, 6, 5, 3}
Step-by-step explanation:
The sets {3, 4, 5, 6, 7, 8} and {3, 4, 5, 6, 7, 8} will be constraint through {x | x < 9 and x >2} so option (A) and (C) will be correct.
What is an set?A set is a combination of specific quantities in which the meaning of each variable must be the same.
For example {1,2,3,4,5,6...} is a set of natural numbers in which each variable is representing a natural number so the overall meaning is the same among all.
Another example could be a set of the whole number like that.
Given the constraint
{x | x < 9 and x >2}
It means x should be greater than 2 and less than 9
So all possible values are
3,4,5,6,7,8
Now set associated with these number is {3, 4, 5, 6, 7, 8} and {8, 7, 6, 5, 3}.
Hence "The sets {3, 4, 5, 6, 7, 8} and {3, 4, 5, 6, 7, 8} will be constraint through {x | x < 9 and x >2}".
To learn more about the sets,
https://brainly.com/question/8053622
#SPJ2
Imagine you have five nieces and nephews and their ages are 4, 10, 8, 9, and 15. The average age of your nieces and nephews is _______, while their median age is
-5(7+2y)+15(x+2y); x=7 and y=-7
Answer: -5(7+2(-7))+15((7)+2(-7)) = -70
im not sure
Select the correct answer.
Terrell is moving boxes in a freight elevator. Each box weighs about 25 pounds. For safety reasons, a maximum of 600 pounds can be on
the elevator at one time, including Terrell and his equipment at a total of 225 pounds.
Which graph represents the number of boxes Terrell can load into the freight elevator at one time?
Answer:
The third one
Step-by-step explanation:
600-225 (the weight of Terrell and his equipment)
=375
375/25(weight of each box)
=15
the circle is close because it can be exactly 15 or or less.
Answer:
actually is 2
Step-by-step explanation:
its not 1 or 3, its 2 I did clicked 3 got it wrong then I clicked one and got it wrong, its 2
Determine the total annual FICA tax for an annual salary of $38,480 A $294.37 B $717.96 C $2,385.76 D $2,943.72
Answer:
D
Step-by-step explanation:
The total annual FICA tax for an annual salary of $38,480 is D $2,943.72.
FICA tax comprise of Social security tax + Medicare tax
Where:
Social security tax=6.2%Medicare tax=1.45%FICA tax =7.65%Hence:
FICA tax=($38,480×6.2%)+($38,480×1.45%)
FICA tax=$2,385.76+$557.96
FICA tax= $2,943.72
Inconclusion the total annual FICA tax for an annual salary of $38,480 is D $2,943.72.
Learn more about FICA tax here:https://brainly.com/question/1154643
What is the equation of the linear function represented by the table?
(–5 ,14), (–2, 11) (1, 8) (4, 5)
1 . y = negative x + 9
2. y = negative x + 13
3. y = x + 13
4. y = x + 9
Answer:
1. y= -x+9
Step-by-step explanation:
plug the coordinates inside each of the equation
14 = -(-5)+9 --> 14 = 14
11 = -(-2)+9 --> 11=11
8 = -(1)+9 --> 8=8
5 = -(4)+9 --> 5=5
Answer:
Answer:
1. y= -x+9
Step-by-step explanation:
plug the coordinates inside each of the equation
14 = -(-5)+9 --> 14 = 14
11 = -(-2)+9 --> 11=11
8 = -(1)+9 --> 8=8
5 = -(4)+9 --> 5=5
Step-by-step explanation:
Think of a problem dealing with two possibly related variables (Y and X) that you may be interested in. Share your problem and discuss why a regression analysis could be appropriate for this problem. Specifically, what statistical questions are you asking? Why would you want to predict the value of Y? What if you wanted to predict a value of Y that’s beyond the highest value of X (for example if X is time and you want to forecast Y in the future)?
Answer:
Explained below.
Step-by-step explanation:
Consider the variables height and weight.
It is usually seen that taller people are heavier than shorter people.
So a regression analysis can be used to specify this belief.
The statistical questions that are being asked here are:
What the independent and dependent variables?Are there any other factor influencing the dependent variable other than the independent variable?The variable Y is considered as the dependent variable and the variable Y is considered as the independent variable. And the main purpose of the regression analysis is to predict the value of Y when the value of X is given.
The linear regression model can be used to predict the past and future value of the dependent variables provided that the independent variables for those times are provided.
The domain and target set of functions f and g isR. The functions are definedas:(b)•f(x) = 2x+ 3•g(x) = 5x+ 7(a)f◦g?(b)g◦f?(c) (f◦g)−1?(d)f−1◦g−1?(e)g−1◦f−1?
Answer:
Step-by-step explanation:
Given the domain and target set of functions f and g expressed as;
f(x) = 2x+3 an g(x) = 5x+7 we are to find the following;
a) f◦g
f◦g = f[g(x)]
f[g(x)] = f[5x+7]
To get f(5x+7), we will replace the variable x in f(x) with 5x+7 as shown;
f(x) = 2x+3
f(5x+7) = 2(5x+7)+3
f(5x+7) = 10x+14+3
f(5x+7) = 10x+17
Hence f◦g = 10x+17
b) g◦f
g◦f = g[f(x)]
g[f(x)] = g[2x+3]
To get g(2x+3), we will replace the variable x in g(x) with 2x+3 as shown;
g(x) = 5x+7
g(2x+3) = 5(2x+3)+7
g(2x+3) = 10x+15+7
g(2x+3) = 10x+22
Hence g◦f = 10x+22
c) For (f◦g)−1 (inverse of (f◦g))
Given (f◦g) = 10x+17
To find the inverse, first we will replace (f◦g) with variable y to have;
y = 10x+17
Then we will interchange variable y for x:
x = 10y+17
We will then make y the subject of the formula;
10y = x-17
y = x-17/10
Hence the inverse of the function
(f◦g)−1 = (x-17)/10
d) For the function f−1◦g−1
We need to get the inverse of function f(x) and g(x) first.
For f-1(x):
Given f(x)= 2x+3
To find the inverse, first we will replace f(x) with variable y to have;
y = 2x+3
Then we will interchange variable y for x:
x = 2y+3
We will then make y the subject of the formula;
2y = x-3
y = x-3/2
Hence the inverse of the function
f-1(x) = (x-3)/2
For g-1(x):
Given g(x)= 5x+7
To find the inverse, first we will replace g(x) with variable y to have;
y = 5x+7
Then we will interchange variable y for x:
x = 5y+7
We will then make y the subject of the formula;
5y = x-7
y = x-7/5
Hence the inverse of the function
g-1(x) = (x-7)/5
Now to get )f−1◦g−1
f−1◦g−1 = f-1[g-1(x)]
f-1[g-1(x)] = f-1(x-7/5)
Since f-1(x) = x-3/2
f-1(x-7/5) = [(x-7/5)-3]/2
= [(x-7)-15/5]/2
= [(x-7-15)/5]/2
= [x-22/5]/2
= (x-22)/10
Hence f−1◦g−1 = (x-22)/10
e) For the composite function g−1◦f−1
g−1◦f−1 = g-1[f-1(x)]
g-1[f-1(x)] = g-1(x-3/2)
Since g-1(x) = x-7/5
g-1(x-3/2) = [(x-3/2)-7]/5
= [(x-3)-14)/2]/5
= [(x-17)/2]/5
= x-17/10
Hence g-1◦f-1 = (x-17)/10
Write the answer in standard form: (−5x^4 + 6x^3 − 43) + (6x^5 − x^2 + 12x + 12) Please Show work
Answer:
The answer in standard form to the given expression is 6x⁵ - 5x⁴ + 6x³ - x² + 12x - 31
Step-by-step explanation:
(-5x⁴ + 6x³ - 43) + (6x⁵ - x² + 12x + 12)
Combine like terms. When the problem says to put the equation in standard form, it means that the terms will go in order from greatest to least exponential number.
6x⁵ - 5x⁴ + 6x³ - x² + 12x - 31
Write each statement as a decimal to two decimal places.
$6.00 to 95 cents =
3 hours to 35 minutes =
42 inches to 2 feet =
(Hint: there are 12 inches in 1 foot.)
Answer:
Step-by-step explanation:
To convert the statement to decimals, we need to use the following conversion rate.
Since $1 = 100cents
Writing $6.00 to 95 cents as a decimal, we need to writw both units in the same units.
$6.00 to 95 cents = 600cents to 95 cents
= 600cents:95cents
= 600cents/95cents
= 6.32 (to 2dp)
For 3 hours to 35 minutes
SI=ince 1 hour = 60minutes
3 hours to 35 minutes = (3*60)minutes to 35 minutes
= 180minutes : 35 minutes
= 180minutes/35 minutes
= 5.14 (to 2dp)
For 42 inches to 2 feet
Given 12inches = 1 foot
42 inches to 2 feet = 42inches to (2*12)inches
= 42inches to (24)inches
= 42inches : 24 inches
= 42inches/24 inches
= 1.75 (to 2dp)
Below are some data examining whether reading the textbook for this course is related to class enjoyment.
Time Reading Textbook 1 2 3 4 5 6 1 2 3 5
Class Enjoyment 20 24 35 46 67 80 12 34 34 78
Note: Text Reading Time: 1 = does not read – 6 = only book I have ever read. Class Enjoyment: 1-100 scale.
Calculate the slope
a) 14.50
b) 13.36
c) 19.00
d) 12.43
Answer:
13.36
Step-by-step explanation:
I will first create a table
X. Y. XY. X²
1. 20. 20. 1
2. 24. 48. 4
3. 35. 105. 9
4. 46. 184. 16
5. 67. 335. 25
6. 80. 480. 36
1. 12. 12. 1
2. 34. 68. 4
3. 34. 102. 9
5. 78. 430. 25
ΣX = 32
ΣY = 430
ΣXY = 1744
ΣX² = 130
n = 10
The formula for regression line is given as :
Y = a + bX
a = intercept
b = slope
The question requires us to find b which is the slope.
b = nΣXY-ΣXΣY/nΣX²-(ΣX)²
= 10x1744-32x430/10x130-(32)²
= 17440-13760/1300-1024
= 3680/276
= 13.36
b = 13.36
Number #7 please I need help on it
(7-10x)/5 simplify express on integers and fractions
Answer:
-2x + 7/5
Step-by-step explanation:
(7-10x)/5
= [tex]\frac{-10x}{5}[/tex] + [tex]\frac{7}{5}[/tex]
= -2x + 7/5
Two 6-sided dice are rolled. What is the probability the sum of the two numbers on the die will be 6?
Answer:
6/36 (16.667%)
Step-by-step explanation:
Answer:
5/36
Step-by-step explanation:
Suppose an operator handles 10 calls. What is the probability that none of the 10 calls result in a reservation?
Question:
Approximately 30% of the calls to an airline reservation phone line result in a reservation being made. Suppose that an operator handles 10 calls. What is the probability that none of the 10 calls result in a reservation?
Answer:
[tex]Probability = 0.028[/tex]
Step-by-step explanation:
Given
Represent probability of reservation with p and Number of calls with n
[tex]n= 10[/tex]
[tex]p = 30\%[/tex]
First, we need to convert p to decimal
[tex]p = \frac{30}{100}[/tex]
[tex]p = 0.30[/tex]
In probability; opposite probability add up to 1;
In other words,
[tex]p + q = 1[/tex]
Where q represents probability of no reservation
Substitute 0.30 for p
[tex]0.30 + q = 1[/tex]
[tex]q = 1 - 0.30[/tex]
[tex]q = 0.70[/tex]
The probability that out of the 10 calls, no reservation is made is calculated as;
[tex]Probability = q^n[/tex]
[tex]Probability = 0.70^{10}[/tex]
[tex]Probability = 0.0282475249[/tex]
[tex]Probability = 0.028[/tex] (Approximated)
Will mark the brainliest!!!!
Answer:
options a is correct
4/7 likely
Probability = Favourable outcomes/ Total outcomes
All outcomes that we have are = 1,2,3,4,5,6,7,8
→ Total outcomes are 8 .
Favourable outcomes are = 1,3,5,7
→ Favourable outcomes are 4.
P(odd) = 4 divided by 8
→ P( odd) is 1/2 , 50% , equally likely.
So option 2nd is correct .
I need help ASAP. I need help can someone explain and can anyone tell me the answer please . I’ll give u anything u want
=====================================================
Explanation:
The domain is the set of all real numbers. This is because the graph goes on forever to the left and right. We can use any x value we want as an input. There are no restrictions to worry about such as to prevent dividing by zero errors.
To say "all real numbers" in interval notation, we write [tex](-\infty, \infty)[/tex] which is another way of saying [tex]-\infty < x < \infty[/tex]
-------------------
The range in interval notation is [tex][3, \infty)[/tex] since y = 3 is the smallest y output possible, and we could have larger y values as well. So basically [tex]y \ge 3[/tex] can be used to describe the range without saying much else.
Note the use of a square bracket to include 3 as part of the interval.
-------------------
There are no x intercepts because this graph does not cross the x axis. The lowest point is at (-2,3) so there's no way we could reach y = 0. Put another way, y = 0 is not part of the range so we cannot have any x intercepts.
There is one y intercept and it is at (0,7) where the graph crosses the y axis. For any function, the max number of y intercepts is 1.
-------------------
When it says "interval positive", its asking "which part(s) of the graph are above the x axis?". That would be the entire graph meaning we have the interval [tex](-\infty, \infty)[/tex]. Every point on this V shaped curve is of the form (x,y) where y is positive.
So this means that we do not have any points with a negative y value, and therefore the answer to "interval negative" is none.
-------------------
Now onto the "interval increasing". This is similar to the previous section, but now we're looking when the graph is going uphill as we read from left to right. This happens on the interval [tex](-2, \infty)[/tex] or put another way when x > -2.
The graph goes downhill whenever x < -2. So that's why the answer for the "interval decreasing" is [tex](-\infty, -2)[/tex]
-------------------
Note the points (-2,3) and (0,7) are on the V shaped graph. These points have x coordinates of x = -2 and x = 0, which are the endpoints of the interval we're focusing on.
Compute the slope of the line through those two points
m = (y2-y1)/(x2-x1)
m = (7-3)/(0-(-2))
m = (7-3)/(0+2)
m = 4/2
m = 2
The positive slope means the line goes uphill as we read from left to right
The average rate of change on the interval [-2, 0] is the value 2
In other words, we go up 2 units each time we move to the right 1 unit.
Use the map below to find the distance between cities A and B to the nearest tenth.
Answer:
7.8
Step-by-step explanation:
Answer:
The answer is 3.6
Step-by-step explanation:
d=[tex]\sqrt{(2-0)^{2}+(3-0)^{2} }[/tex]
d=[tex]\sqrt{(2)^{2}+(3)^{2} }[/tex]
d=[tex]\sqrt{4+9}[/tex]
d=[tex]\sqrt{13}[/tex]
d=3.6
Translate (in terms of x) then solve the algebraic equation. When the sum of a number and 2 is subtracted from 13 the result is 8
The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed and the parameter that is being tested. H0: σ = 8.6 H1: σ < 8.6
Answer:
Test is Left tailed test
Parameter tested is standard deviation
Step-by-step explanation:
We are given the hypothesis as;
Null hypothesis; H0: σ = 8.6
Alternative hypothesis; H1: σ < 8.6
Where;σ is a constant generally known in statistics as the standard deviation.
Now, it's the alternative hypothesis that will let us know whether this is left tailed, right tailed or two tailed.
Alternative hypothesis says σ < 8.6.
This means that the values of σ that satisfy this hypothesis are less than 8.6 and thus are on the left hand side of 8.6 on a number line. Thus, the shaded region in a normal distribution curve will be on the left.
Thus, it's a left tailed test