Answer:
0.0329 ≅ 0.03 to two decimal places
Step-by-step explanation:
The owner of a small deli is trying to decide whether to continue or discontinue selling magazines.
His suspicion that only 10.7% of his customers by a magazine (daily) is correct.
What is the probability that exactly 4 out of the first 13 customers (on this day) buy a magazine?
The probability is:
10.7% × 4/13 = 10.7/100 × 4/13 = 0.107 × 0.308 = 0.0329 ≅ 0.03 to two decimal places
3. After 6 weeks, who earned more money? How much more money?
Step-by-step explanation:
David earns $8 per hour. He works 40 hours each week. How much does he earn in 6 weeks? . After 6 weeks, who earned more money? How much more money?
he would earn 1,680 because if he works 40 hours per week when you divide by 7 cuz there a 7 days in a week he works 5 hours each day. then we multiply 5 with 8 and it's 40 so he earns 40 dollars per day then if week multiply 40 with 7 we get 280 and that's what he earns per week. then I came and tried to figure out how many days are in 6 weeks and I got 42 so then i came and multiplied the hours(5) which then gave me 210 then I multiped that (210) and 8 together and got 1,680
1.Michael earns $9 per hour. He works 28 hours each week. How much does he earn in 6 weeks?
so what i did was divide 28 by 7 the 7 was for the days and the 28 was for the hours so per day he works 4 hours and he earns 36 dollars per day .and then i came to know what the final answer was I came a figured out how many days are in 6 weeks and it's 42 so then I came and multiped the hours with the days which gave me 168 then I multiped that by the amount of money he earns per hour and it gave me 1,512 per 6 weeks
Please help asappp. Best answer gets brainly
Answer:
The last two are the right ones
Step-by-step explanation:
Could someone help me solve this? Lines AB and CD are parallel. Enter the measures of the three angles in triangle ABF.
Answer:
A=43
B=32
C=105
What system works with the circulatory system to provide oxygen to cells?
Integumentary System
Repertory System
Skeletal System
Digestive System
Answer:
Step-by-step explanation:
bro im out n can come scoop
please help me with the domain and range of the graphs.?part 5
Problem 5
Domain = [tex]-4 \le x \le 3[/tex]
This is because the smallest x value allowed is x = -4 as shown by the left-most point. The right most point has x coordinate x = 3, so this is the largest value in the domain.
The domain in interval notation is [-4, 3]. The square brackets include the endpoint.
--------------
Range = [tex]-4 \le y \le 5[/tex]
We're now looking at the possible y values. The lowest point happens when y = -4 and the highest point is when y = 5. We can have any y value between those endpoints.
The range in interval notation is [-4, 5]
=============================================================
Problem 6
Domain = [tex]-2 \le x < 2[/tex]
Same idea as the previous problem. This time the left most point has x = -2 and the right most point has x coordinate x = 2.
The big difference here is that the open hole says to not include the endpoint. The domain in interval notation is [-2, 2) where we use a parenthesis to not include the endpoint.
-------------
Range = [tex]-4 \le y < 4[/tex]
The smallest possible y value is y = -4. The ceiling for the y values is y = 4, but we can't actually reach this value due to the open hole.
The range in interval notation is [-4, 4)
=============================================================
Problem 7
Domain = [tex]-4 < x \le 2[/tex]
Same idea as earlier. Now the open hole is at the left endpoint. The right most point occurs not at an endpoint this time.
The domain in interval notation is (-4, 2]
-------------
Range: [tex]-4 < y < 4[/tex]
Both endpoints are open holes, so we exclude both endpoints.
The range in interval notation is (-4, 4). Unfortunately in this case, interval notation looks identical to ordered pair notation.
=============================================================
Problem 8
Domain = [tex]-5 < x < 3[/tex]
Domain in interval notation = (-5, 3)
The graph is too blurry to be able to determine the range.
Modeling Real-World Scenarios with Sine and Cosine Functions
The table below shows the illuminated percentage of the moon on a lunar cycle of 28 days. The relationship can be described using a cosine function.
Answer:
0 and 0
Step-by-step explanation:
it stays the same 7 to 17 is 7
14 to 21 is 7 etc...
The amplitude of the function is 48 units.
The period of the function is 28 units.
The graph has a vertical shift of 48 unit.
To determine the amplitude and period of the cosine function that describes the relationship between the day (d) and the illuminated percentage of the moon (%), we can analyze the given data:
d %
0 48
14 96
21 48
28 0
Amplitude:
The amplitude of a cosine function represents half the difference between the maximum and minimum values of the function.
So, (96 - 0) / 2
= 48 units.
Period:
The period of a cosine function is the length of one complete cycle.
Therefore, the period of the function is 28 units.
Vertical shift:
The vertical shift represents the displacement of the graph vertically.
The graph has a vertical shift of 48 unit.
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Which equation represents a line that is parallel to the
line shown on the graph?
Piz and ty
Answer:
[tex]y=\frac{1}{4}(x)+2[/tex]
you can write this as
[tex]f(x)=\frac{1}{4}x+2[/tex]
Step-by-step explanation:
2 points
(-4,1)(0,2)
[tex]y=\frac{1}{4}x+2[/tex] is the equaction of the line thats in the grapj
Why and How I got it?
you had 2 points, so you can using the slope equaction
Rise over run
why is slope important?
using the y incept equactions
y=mx+b, where slope is m
so you get slope you got m
Solve
rise over run
[tex]\frac{2-1}{0-(-4)}[/tex]
so you get
[tex]y=\frac{1}{4}x+b[/tex]
How do you get B?
you plug 1 points in
[tex]-4=\frac{1}{4}(1)+b[/tex]
Hoped this helped ya
<3
Redwhat is the correct word form for 9.602
Answer:
Nine and six hundred two thousandths
Step-by-step explanation:
Hope this helped.
Answer: nine and sixty-two thousandths nine and six hundred two hundredths nine and sixty-two hundredths nine and six hundred two thousandths.
Step-by-step explanation:
Jessica is shopping at an online store that offers free shipping and doesn't charge her sales
tax. Jessica orders two books for $8.99 each, a video game for $19.99, and three board games
for $11.99 each. She pays for her purchases with a $100 gift card. What is the remaining
balance on her gift card after these purchases?
Answer:
$26.05
Step-by-step explanation:
$8.99(2) + $19.99 + $11.99(3) = $73.95 - $100
Hope this helped :)
What are the steps to substract a negative fraction from a positive decimals
Answer:
Turn the negative fraction into a decimal
Step-by-step explanation:
example:
-1/2=-0.5
Answer:
Subtract the absolute value of the decimal.
Add the negative number to the positive number.
Add the opposite of the negative number to the positive number.
Step-by-step explanation:
hope this helped </3
Please help me with this ! Find x
Complete the proof
Pleassseeee
Answer:
it's ASA because you have 2 angles congruent and a side congruent.
Can you please help me?
Answer: 325
Step-by-step explanation:
All your doing is multiplying
Answer:
The answer is 325
Step-by-step explanation:
the problem directly tells me that c(x)= 50x is how many words i can type in x minutes. then proceeds to ask me how many words i can type in 6.5 minutes.
in this case, x=6.5.
substitute and solve!
c(6.5)= 50(6.5)
c(6.5)= 325
according to this function, i can type 325 words in 6.5 minutes.
hope this helps!!
The marketing department of a local shoe company found that approximately 550 pairs of running shoes are sold monthly when the price of each pair is $100. It was also observed that, for each $1 reduction in price, an additional 20 pairs of
running shoes are sold monthly. What price should the shoe store charge for a pair of running shoes in order to maximize revenue?
Answer:
The price that maximizes the revenue is $63.75
Step-by-step explanation:
Analyzing the statement one after the other.
[tex]Initial\ Quantity = 550[/tex] ---- When ----- [tex]Initial\ Price = \$100[/tex]
When there's a reduction of $1, we have:
[tex]Quantity = 550 + 20x[/tex] and [tex]Price = 100 - x[/tex]
Where x represents the maximum reduction
At this point, we need to calculate the revenue (R)
[tex]R = Quantity * Price.[/tex]
[tex]R = (550 + 20x) * (100 - x)[/tex]
Open Brackets
[tex]R = 55000 - 550x + 2000x - 20x^2[/tex]
[tex]R = 55000 +1450x - 20x^2[/tex]
Differentiate both sides with respect to x
[tex]\frac{dR}{dx} = 0 + 1450 - 40x[/tex]
[tex]\frac{dR}{dx} = 1450 - 40x[/tex]
To maximize revenue;
[tex]\frac{dR}{dx} = 0[/tex]
So:
[tex]1450 - 40x = 0[/tex]
[tex]1450 =40x[/tex]
Solve for x
[tex]x = 1450/40[/tex]
[tex]x = 36.25[/tex]
Recall that:
[tex]Price = 100 - x[/tex]
Substitute [tex]x = 36.25[/tex]
[tex]Price = 100 - 36.25[/tex]
[tex]Price = 63.75[/tex]
Hence:
The price that maximizes the revenue is $63.75
6c.) Consider the functions f(x) = -2x + 1 and g(x) = 4x - 5
Now find g(3).
Answer:
7
Step-by-step explanation:
g(x)=4x-5
g(3)= 4(3)-5
=12-5
=7
Answer:
g(3)=4x-3
Step-by-step explanation:
put 3 into x
know g(3)=4x-3=4×3-1=12-1=11
11 will be the answer
what is 276,485 rounded to the nearest hundred thousand?plzzzzzz answer
Answer:
300,000
Step-by-step explanation:
Write a linear equation that is parallel to
line below and passes through the point
(-4,-13)
Answer:
y = 3x - 1
Step-by-step explanation:
Original line: y = 3x + 5
Parallel line has the same slope, so use the point-slope form.
y - (-13) = 3(x - (-4))
y + 13 = 3x +12
y = 3x -1
The equation of the line that is parallel to the line shown in the graph and passes through the point (-4,-13) is y = 2x - 5.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given the graph of the linear equation:
From the graph:
The line passes through (-3, -1) and (0, 5)
The slope of the line is shown in the graph:
m = (5+1)/(0+3)
m = 2
The equation of the line that has slope -2 and passes through (-4, -13):
[y - (-13)] = 2[(x - (-4)]
y + 13 = 2(x + 4)
y + 13 = 2x + 8
y = 2x + 8 - 13
y = 2x - 5
Thus, the equation of the line that is parallel to the line shown in the graph and passes through the point (-4,-13) is y = 2x - 5.
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what
is bigger 2/5 or 0.25
Answer:
2/5 is bigger
Step-by-step explanation:
2/5 is 0.40
Let X be an exponential random variable with parameter λ=2 . Find the values of the following. Use 'e' for the base of the natural logarithm (e.g., enter e^(-3) for e−3 ).
a) E[(3X+1)2]=
b) P(1≤X≤2)=
Answer:
a
[tex]E[(3X+1)^2]= 8.5 [/tex]
b
[tex]P(1 < X < 2)=0.1170 [/tex]
Step-by-step explanation:
From the question we are told that
The parameter of X is [tex]\lambda = 2[/tex]
Generally the expected value of X is
[tex]E(X) = \frac{1}{\lambda }[/tex]
[tex]E(X) = \frac{1}{2}[/tex]
=> [tex]E(X) = 0.50 [/tex]
Generally we have that
[tex]E(X^2) = E(X)^2 + E(X)^2[/tex]
=> [tex]E(X^2) = [\frac{1}{2}] ^2 + [\frac{1}{2} ]^2[/tex]
=> [tex]E(X^2) = 0.5 [/tex]
Generally
[tex]E[(3X+1)^2]= E(9x^2 + 1 + 6x)[/tex]
=> [tex]E[(3X+1)^2]= 9E[X^2] + 1 + 6 E[X])[/tex]
=> [tex]E[(3X+1)^2]= 9* 0.5 + 1 + 6 * 0.5 [/tex]
=> [tex]E[(3X+1)^2]= 8.5 [/tex]
Generally
[tex]P(1 < X < 2)= P(X < 2) - P(X < 1)[/tex]
Here [tex]P(X < 2 ) = e^{- 2 * \lambda }[/tex]
=> [tex]P(X < 2 ) = e^{- 2 * 2 }[/tex]
=> [tex]P(X < 2 ) = e^{- 4}[/tex]
and
[tex]P(X < 1 ) = e^{- 1 * \lambda }[/tex]
[tex]P(X < 1 ) = e^{- 1 * 2 }[/tex]
[tex]P(X < 1 ) = e^{-2 }[/tex]
So
[tex]P(1 < X < 2)= e^{-2 } - e^{- 4} [/tex]
[tex]P(1 < X < 2)=0.1170 [/tex]
a tank holds 480 gallons of fuel. if it drained at a rate of 120 gallons Per minute, it will be empty in __ seconds
Answer:240 seconds
Step-by-step explanation:
Please hurry.
Simplify completely.
(2 + 3i)+(-4+1)
A. 2+4i
B. 6+4i
C.-2+2i
D. 6+2i
E. -2+4i
Answer:
3i-1
Step-by-step explanation:
2+3i-3
3i-1
Answer:
-1 + 3i.
Step-by-step explanation:
Hope this helps!
Rob made 7 brownies. He put nuts on 1 brownie.
What fraction of the brownies had nuts?
Answer:
he put it on one brownie so 1/7
Evaluate h(x) = -2x +9
when x= -2,0, and 5.
h( - 2) =
h(0) =
h(5)=
Answer:
[tex] f(-2) = 13 [/tex]
[tex] f(0) = 9 [/tex]
[tex] f(5) = -1 [/tex]
Step-by-step explanation:
Given:
[tex] f(x) = -2x + 9 [/tex]
Required:
Find,
h(-2); h(0), and h(5)
SOLUTION:
Plug in the value of x into [tex] f(x) = -2x + 9 [/tex] in each case as follows:
[tex] f(-2) = -2(-2) + 9 [/tex]
[tex] f(-2) = 4 + 9 [/tex]
[tex] f(-2) = 13 [/tex]
[tex] f(0) = -2(0) + 9 [/tex]
[tex] f(0) = 0 + 9 [/tex]
[tex] f(0) = 9 [/tex]
[tex] f(5) = -2(5) + 9 [/tex]
[tex] f(5) = -10 + 9 [/tex]
[tex] f(5) = -1 [/tex]
The value of h(x) when x= -2,0, and 5 is; 13, 9 and -1 respectively.
The function, h(x) given is; h(x) = -2x +9 .
As such, evaluation of h(x) when x = 2,0, and 5 is as follows;
For x = -2
h(-2) = -2(-2) +9 h(-2) = 4 +9h(-2) = 13For x = 0
h(0) = -2(0) +9 h(0) = 0 + 9h(0) = 9For x = 5
h(5) = -2(5) +9 h(5) = -10 +9h(5) = -1Read more;
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Which choice represents 673.983 rounded to nearest hundredth
Answer: 673.98
Step-by-step explanation: The 8 is the hundredth place, and anything less than five you don't round up
• One class is selling tickets for $3.50 each and has already raised $250.
• The other class is selling tickets for $2.25 each and has already raised $300.
How many tickets does each class have to sell so that the total amount raised is the same for both classes?
Answer:
x=40
Step-by-step explanation:
PLEASE HELP ASAP
Is the function y=x- 5/4 linear or nonlinear
Answer:
Linear
Step-by-step explanation:
y=x-5/4 is a linear equation.
The number of bacteria in a refrigerated food product is given by N(T)
4
29T2 - 115T + 52,
When the food is removed from the refrigerator, the temperature is given by T(t) = 6t + 1.5, where t is
the time in hours.
Find the composite function N(T(t)):
N(Tt))
Find the time when the bacteria count reaches 500.
Time Needed =
hours
Answer:
Step-by-step explanation:
Given
N(t) = 29t²-115t+52
T(t) = 6t+1.5
To get the composite function N(T(t)), we will follow the steps
N(T(t)) = N(6t+1.5)
To get N(6t+1.5), we will replace t in N(t) with 6t+1.5 as shown:
N(6t+1.5) = 29(6t+1.5)²-115(6t+1.5)+52
N(6t+1.5) = 29(36t²+18t+2.25)-690t-172.5+52
N(6t+1.5) = 1044t²+522t+65.25-690t-172.5+52
N(6t+1.5) = 1044t²+522t-690t+65.25-172.5+52
N(6t+1.5) = 1044t²-168t-55.35
Hence;
N(T(t)) = 1044t²-168t-55.35
To determine the time when the bacteria count reaches 500, we will equate the expression to 500 and find t
500 = 1044t²-168t-55.35
1044t²-168t-55.35-500= 0
1044t²-168t-555.35 = 0
Factorize
t =140±√1630115/1740
t = 0.81
Hence the time reached when the bacteria was 500 hours is 0.81hours
D
Question 2
1 pts
Two people are pushing a car. One person is pushing with a force of 450 N and the
other person is pushing with a force of 300 N. What information is needed to
determine the net force applied to the car by the people?
the direction of the road
the direction of the forces
the weight of the two people
the weight of the automobile
Answer:
the direction of the road
Step-by-step explanation:
To calculate the net force, we need to know the direction through which the forces are acting.
Are the forces directed towards one another or against each other?
Net force is a vector sum of forces that acts on a body. It is that single force that can replace two or more forces acting on a body.
If the forces are against each other, we subtract them. If they act on a body together, we add them.So, without knowing the direction, we cannot calculate the net force.
Which of the following is an equivalent form of the compound inequality-33 > -3x - 6 > -6
Answer:
9 < x < 0
Step-by-step explanation:
from 0 to 9 i think
please help asap.. 15 points!
Answer:
the answer is b
Step-by-step explanation:
