Answer:
2.45
Step-by-step explanation:
1. Probability distribution shows us sample space(number of calls) and their probabilities
Number of calls. Probability
0. 0.10
1. 0.15
2. 0.30
3. 0.20
4. 0.15
5. 0.19
2. We are to find expected number of calls
(0x0.1) + (1x0.15) + (2x0.30) + (3x0.20) + (4x0.15) + (5x0.10)
E(X) = 0 +0.15 + 0.6 + 0.6 + 0.6 + 0.5
= 2.45
The expected number of Service calls per day is 2.45
Thank you!
Solve:(1/7)x +(1/6)y =3 ; (1/2)x - (1/3)y =5
Answer:
(14, 6 )
Step-by-step explanation:
Given
[tex]\frac{1}{7}[/tex] x + [tex]\frac{1}{6}[/tex] y = 3 ( multiply through by 42 to clear the fractions )
6x + 7y = 126 → (1)
[tex]\frac{1}{2}[/tex] x - [tex]\frac{1}{3}[/tex] y = 5 ( multiply through by 6 to clear the fractions )
3x - 2y = 30 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the x- term
- 6x + 4y = - 60 → (3)
Add (1) and (3)term by term to eliminate x
11y = 66 ( divide both sides by 11 )
y = 6
Substitute y = 6 into either of the 2 equations and evaluate for x
Substituting into (1)
6x + 7(6) = 126
6x + 42 = 126 ( subtract 42 from both sides )
6x = 84 ( divide both sides by 6 )
x = 14
Solution is (14, 6 )
Help pleaseeeeee thanks so much
Answer:
The answer is n = 31
Step-by-step explanation:
Equation: 2n + 13 = 75
2n = 75 - 13
2n = 62
n = 62/2
n = 31
check:
2*31 + 13 = 75
62 + 13 = 75
Answer: n = 31
Step-by-step explanation: Remember that the word sum mean addition.
So the sum of twice a number and 13 means 2n + 13 = 75.
So our equation is 2n + 13 = 75.
Now let's solve the equation.
Start by subtracting 13 from both sides to get 2n = 62.
Now, divide both sides by 2 and we have n = 31.
what are the size of a penny
Answer:
0.75 inches is the correct answer
Answer:
0.75 inches
The coin is 0.75 inches (19.05 mm) in diameter and 0.0598 inches (1.52 mm) in thickness.
Solve for x in the diagram below.
Answer:
x= 20
Step-by-step explanation:
The two smaller angles add to 90 degrees
x + 3x +10 = 90
4x+10 = 90
Subtract 10 from each side
4x+10-10 = 90-10
4x = 80
Divide each side by 4
4x/4 = 80/4
x = 20
Answer:
[tex]x=20\textdegree[/tex]
Step-by-step explanation:
The angle we have here is a right angle. Right angles have a total measure of 90°. Therefore, the two parts must equal 90°:
Thus, we have the equation:
[tex](x)+(3x+10)=90[/tex]
Combine like terms:
[tex]4x+10=90[/tex]
Subtract 10 from both sides. The left side cancels:
[tex](4x+10)-10=90-10\\4x=80[/tex]
Divide both sides by 4. The left side cancels:
[tex](4x)/4=(80)/4\\x=20[/tex]
Thus, x is 20°.
Solve for k 8k-2z=24
Answer:
k = z/4 + 3
Step-by-step explanation:
8k-2z = 24
8k = 24 + 2z
k = (24 + 2z)/8
k = (24 + 2z) / (4*2)
k = (12 + z) / 4
k = 3 + z/4
What is the value of x in both a & b?
Answer:
a. x=9, b. x=6
Step-by-step explanation:
In a the triangle is cut in half. the sides are equal even though the triangle is slanted.
In b the triangles are similar if you flip the big one. Since the smaller triangle is smaller it is a reduced form of the larger one.
What does a negative net worth indicate?
a Your assets exceed your liabilities.
b. Your assets equal your liabilities.
C Your liabilities exceed your assets.
d. You have only assets and no liabilities.
Please select the best answer from the choices provided
Answer:
c. Your liabilities exceed your assets.
Step-by-step explanation:
The negative net worth indicates option(C) Your liabilities exceed your assets
What is Negative net worth?This means you owe more money than assets that you own.
What is Liabilities?A liability is something a person or company owes, usually a sum of money
Here,
Negative net worth indicates option (C) Your liabilities exceeds your assets is negative net worth. Because this means you owe more money than assets that you own.
Other options are not indicating negative net worth
Hence, the negative net worth indicates option(C) Your liabilities exceed your assets
Learn more about Negative net worth and Liabilities here
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7-8÷4(3^2-1) ~answer step by step please~
Answer:
-9
Step-by-step explanation:
Simplify the following:
7 - 8/4 (3^2 - 1)
Hint: | Evaluate 3^2.
3^2 = 9:
7 - 8/4 (9 - 1)
Hint: | Subtract 1 from 9.
9 - 1 = 8:
7 - 2×8
Hint: | Divide 8 by 4.
8/4 = (4×2)/4 = 2:
7 - 2×8
Hint: | Multiply -2 and 8 together.
-2×8 = -16:
7 + -16
Hint: | Subtract 16 from 7.
7 - 16 = -9:
Answer: -9
Can someone help me please I’m confused!!!
Answer:
10) -1
11) 1/2 or 0.5
12) -1/5 or -0.2
13) -13/6 or -2.166666666
14) -1/8 or -0.125
15) 1/2 or 0.5
hope it helps;)
good luck!
f(x) = 4x + 1 and g(x) = 4x - 3
Find f(x) * g(x)
Answer:
16x^2 - 8x - 3
Step-by-step explanation:
f(x) = 4x + 1
g(x) = 4x -3
f(x) * g(x) = (4x+1) * (4x-3)
(16x^2 - 12x + 4x -3)
Combine like terms
16x^2 - 8x - 3
that's your answer
The value of f (x) × g (x) will be;
⇒ 16x² - 8x - 3
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The value of function are,
⇒ f(x) = 4x + 1
⇒ g (x) = 4x - 3
Now.
Since, The value of function are,
⇒ f(x) = 4x + 1
⇒ g (x) = 4x - 3
Hence, We get;
⇒ f (x) × g (x) = (4x + 1) (4x - 3)
= 16x² - 12x + 4x - 3
= 16x² - 8x - 3
Thus, The value of f (x) × g (x) = (16x² - 8x - 3)
Learn more about the multiplication visit:
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in the first quadrant you start at is (1,4)d move 4 units right what is the point
Answer:
(5,4)
Step-by-step explanation:
Moving right, so moving along the x- axis in the positive direction. So add 4 to the x value of the ordered pair.
Annie is running a trail that is 4 1/2 miles long. She ran the first 2/3 of the distance. Then the trail became very steep, so she slowed down to a walk. Annie walked for 1/2 of the remaining distance and then ran again for the rest of the way. How far did Annie walk? Write the answer as a simplified fraction.
Answer:
[tex]\frac{3}{4}[/tex] miles
Step-by-step explanation:
Total length of the trail = [tex]4\frac{1}{2}[/tex] miles = [tex]\frac{9}{2}[/tex] miles
She ran the first [tex]\frac{2}{3}[/tex] of the distance i.e.
The distance for which she ran = [tex]\frac{2}{3} \times \frac{9}{2} = 3\ miles[/tex]
Remaining distance = Total length of trail minus the distance for which she has already run = [tex]\frac{9}{2} - 3 = \frac{3}{2}[/tex] miles
Given that: After running, Annie has to walk due to steep nature of the trail, So, Annie walked for [tex]\frac{1}{2}[/tex] of the remaining distance.
The distance for which Annie walked = [tex]\frac{1}{2} \times[/tex] Remaining distance
The distance for which Annie walked = [tex]\frac{1}{2} \times[/tex] [tex]\frac{3}{2}[/tex] = [tex]\frac{3}{4}[/tex] miles
So, the answer is: [tex]\frac{3}{4}[/tex] miles
How many 5-cent stamps are there in a half dozen?
Answer:
6
because a dozen is 12 and a half dozen is 6.
Solve the system of linear equations.
15x - 5y = -20
-3x + y = 4
Answer:
Infinite solutions.
Step-by-step explanation:
Use the elimination method:
15x - 5y = -20
-3x + y = 4 Multiply this equation by 5:
-15x + 5y = 20 Now add this to the first equation:
0 = 0
So the 2 equations are the same and there are infinite solutions.
An ancient culture labeled certain numbers as square numbers. The numbers 1, 4, 9, 16, 25, and so on are square numbers. Complete parts a through c below. . . . .
1 4 16 25 36, 49, 64
Describe a procedure to determine the next five square numbers without drawing the figures.
A. Square 6, 8, 10, 12, and 14.
B. Add the last two square numbers together to get the next one.
C. Double the previous square number and then subtract half of the previous from that.
D. Square 6, 7, 8, 9 and 10.
Answer:
A. 6 = 36
8 = 64
10 = 100
12 = 144
14 = 196
B. 340
C. 582
D.6= 36
7 =49
8 = 64
9= 81
10= 100
What number is greater then -8 and less than 0?
Answer: -9 and up
Step-by-step explanation: An integer is any whole number. An integer can be zero, greater than zero or less than zero. The integers greater than zero are the natural numbers.
Answer:
-7 through -1
Step-by-step explanation:
its more than -8 and less than 0 i had this question in 7th yr
The limit with the steps if it exist plz
Answer:
1/4
Step-by-step explanation:
Hello, first of all we could say, let 's replace x by 1 and see if we can conclude.
numerator gives [tex]\sqrt{1+15}-4=\sqrt{16}-4=4-4=0[/tex]
denominator gives 1-1=0
So, this is 0/0 and this is not defined.
We need to ask a friend for help. Guillaume de l'Hôpital, French mathematician from the 1600s, has a trick to solve this kind of stuff.
In short, he says that
[tex]\displaystyle \lim_{x\rightarrow c} \ {\dfrac{f(x)}{g(x)}}=\lim_{x\rightarrow c} \ {\dfrac{f'(x)}{g'(x)}}[/tex]
In our case here, we have c = 1
[tex]f(x)=\sqrt{x^2+15}-4\\\\g(x)=x-1[/tex]
[tex]f'(x)=\dfrac{1}{2}\dfrac{2x}{\sqrt{x^2+15}}=\dfrac{x}{\sqrt{x^2+15}}\\\\f'(1)=\dfrac{1}{4}\\\\g'(x)=1\\\\\dfrac{f'(1)}{g'(1)}=\dfrac{1}{4}[/tex]
So, we can conclude
[tex]\displaystyle \lim_{x\rightarrow1} \ {\dfrac{\sqrt{x^2+15}-4}{x-1}}=\lim_{x\rightarrow1} \ {\dfrac{1}{4}}=\boxed{\dfrac{1}{4}}[/tex]
Thanks
Evaluate the expression (q/p)+3p^2 if q=3.5 and p=1
Answer:
The answer is 6.5
Step-by-step explanation:
(3.5/1)+3(1)^2
3.5/1=3.5
3(1)^2=3
3.5+3=6.5
3x+8-X=57-4
Is 7 a solution to the question
Answer:
7 is not a solution for x.
Step-by-step explanation:
To see if 7 is a solution for x, we will simply plug in the value for x and see if the left hand side is equal to the right hand side.
3x + 8 - x = 57 - 4
3(7) + 8 - (7) ?= 57 - 4
21 + 8 - 7 ?= 53
29 - 7 ?= 53
22 ?= 53 (( NO ))
Since 22 does not equal 53, 7 is not a solution for x.
Let's find the solution for x:
3x + 8 - x = 57 - 4
2x + 8 = 53
2x = 45
x = 22.5
Let's validate this solution for x:
3x + 8 - (x) = 57 - 4
3(22.5) + 8 - (22.5) ?= 57 - 4
67.5 + 8 - 22.5 ?= 53
45 + 8 ?= 53
53 == 53 (( YES ))
Since 53 is indeed equal to 53, then 22.5 is a solution for x.
Cheers.
Answer:
No, 7 is not a solution. x=11.25
Step-by-step explanation:
To find whether 7 is a solution, we can plug it in as x.
3(7)+8-7=57-4
21+15=53
36=53
No, 7 is not a solution.
We can find the solution by solving out the equation normally
3x+8+x=57-4
2x+8=53
2x=45
x=22.25
-Russell wants to buy three identical gift cards. hehe wants to make sure his total cost is no more than $2 above or below $60. which of the following inequalities represent his situation
Answer:
|60+3c|<2
That should be a less than or equal to sign
Also I’m sorry but I can’t explain it because I got this answer from someone else on here.
Step-by-step explanation:
Thomas has 19 playing cards. He gives 6 playing cards to his brother.
How many playing cards does Thomas have now?
Answer:
13 playing cards
Step-by-step explanation:
Thomas = 19 playing cards
Brother = 6 playing cards (which give Thomas)
Thomas = 19 playing cards - 6 playing cards = 13 playing cards
Answer:
[tex]\huge\boxed{\sf 13\ cards}[/tex]
Step-by-step explanation:
Thomas has total = 19 playing cards
He gave away = 6 cards
Thomas have now:
=> 19-6
=> 13 cards
Do you need to execute the Distributive Property to simplify: 5(2-8)?
Yes
No
no just do the stuff in the parentheses then multiply by 5
HELP ME OUT ASAP PLS 20POINTS IF U DO! On Friday, a bowling alley made $842.72 from lane rentals and $412.38 from the concession stand. On Saturday, their lane rentals were down by StartFraction 1 over 8 EndFraction but the concessions increased by One-half. What is the total amount that the bowling alley earned in lane rentals and concessions on Friday and Saturday?
$1,355.95
$1,580.10
$1,992.48
$2,611.05
Answer:
$2611.05
Step-by-step explanation:
earnings = lane rentals + concessions
Friday:
earnings = $842.72 +412.38 = $1255.10
Saturday:
We assume "down by 1/8" means the value was 1 -1/8 = 7/8 that of the previous day. Likewise, "increased by 1/2" is assumed to mean the value was 1 + 1/2 = 3/2 that of the previous day.
earnings = 7/8×$842.72 + 3/2×412.38 = $1355.95
__
Then the total earnings for both days were ...
$1255.10 +$1355.95 = $2611.05
Answer:
$1,355.95
$1,580.10
$1,992.48
$2,611.05
Step-by-step explanation:
$2611.05
plz give him a heart and a rating. c'mon do it for him
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Marian buys a dress that costs $32.00 She pays 10%
sales tax
Answer:
$35.2
Step-by-step explanation:
I’m assuming you meant the total of the dress after tax.
1. 32 * 1.1 = 35.2
OR
1. 32 * 0.1 = 3.2
2. 32 + 3.2 = 35.2
You could do it either way.
please help with the problem bellow
Need help Bad sow work need that to 1. Megan works at Amazon’s warehouse. She is responsible for packing boxes into crates for shipment. Each crate can hold 32 boxes, and she needs to ship 712 boxes. a. Megan thinks she can fit all 712 boxes into 22 crates. Is her estimate correct? Why or why not? EXPLAIN YOUR REASONING b. How many crates will Megan need to pack all 712 boxes? Round to the nearest whole number. SHOW YOUR WORK
Answer:
a) her estimate is wrong, because 22 crates can only contain 704 boxes
b) 23 crates
Step-by-step explanation:
Each crate can hold 32 boxes and there are total of 712 boxes.
Megan thinks she can fit all 712 boxes into 22 crates.
Now multiplying 22 crates 32 boxes to know the number of boxes22 crates can contain
= 22*32
= 704 boxes
The boxes are not all contacts in 22 crates
To pack 712 boxes
She Will need = 712/32 crates
She will need= 22.25 crates
Rounding up to whole number she will need 23 crates
Find an equation of the line passing through the point (−6,−5) that is parallel to the line y=4/3x−5
Answer:
The answer is
[tex]y = \frac{4}{3} x + 3[/tex]Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the parallel line we must first find the slope of the original line
y = 4/3x - 5
Comparing with the general equation above
Slope/ m = 4/3
Since the lines are parallel their slope are also the same
So we have
Slope of parallel line = 4/3
Equation of the line using point (−6,−5) and slope 4/3 is
[tex]y + 5 = \frac{4}{3} (x + 6) \\ y + 5 = \frac{4}{3} x + 8 \\ y = \frac{4}{3} x + 8 - 5[/tex]We have the final answer as
[tex]y = \frac{4}{3} x + 3[/tex]Hope this helps you.
Please help Please help
Answer:
The cosine of angle C is 5/13, or approximately 0.38.
Step-by-step explanation:
To solve this problem, we must remember what the cosine of an angle represents. The cosine of an angle is equal to the ratio of the adjacent side divided by the hypotenuse.
From the diagram, we can determine that the adjacent side length is 10 and the hypotenuse is 26.
Therefore, the cosine of angle C is:
10/26 = 5/13 (simplified)
Hope this helps!
f(x) = 6x² + 3x + 2 and g(x) = x - 7
Find f(x) * g(x)
Answer:
work shown and pictured
What percent of students in a distribution falls between the first and third quartiles?A) Approximately 25% B) Approximately 50%.C) Approximately 75%.D) Approximately 100%.
Answer:
B) Approximately 50%
Step-by-step explanation:
In any distribution of data, the data can be divided into 4 main quarters that are approximately equal in percentage.
Thus, the first quartile consists of approximately 25%, the second is 25%, third quartile about 25%, while the fourth is 25% also.
Therefore, in a data set distribution of students, approximately 50% of the distribution of students will fall within the first and third quartiles.
Answer:
(B) Approximately 50%
Step-by-step explanation:
First quartile is 1/4 and that is 25% of students in the distribution.
Third quartile is 3/4 and that is 75% of students in the distribution.
Between the first quartile and third quartile is automatically, 50% of the students in the distribution. The answer is (B) Approximately 50%.