You can tell if 3 side lengths will form a triangle if you know each length by adding all 3 side lengths together. If they equal a total of 180 degrees then it is a triangle.
The number of portable widgets produced weekly by Widget, Inc., is related to the weekly profit in the way:
P(x) = -2x^2 + 88x - 384
where P(x) is the weekly profit in hundreds of dollars and x is the number of widgets must be produced weekly. How many widgets must be produced weekly for the maximum weekly profit? What is the maximum weekly profit? Find the analytically.
9514 1404 393
Answer:
22 widgets$58,400Step-by-step explanation:
The turning point (maximum or minimum) of quadratic function ...
f(x) = ax² +bx +c
is at x = -b/(2a).
Here, this means the maximum profit will be had when the number of widgets produced weekly is ...
x = -88/(2(-2)) = 22
The profit at that level of production is ...
P(22) = (-2·22 +88)(22) -384 = 44(22) -384 = 968 -384 = 584 . . . hundreds
22 widgets must be produced weekly for the maximum weekly profit of $58,400.
joe score is -2 tara's is -8 whos the lowest and whos the hghest
Answer:
-2 is the highest and -8 is the lowest
Step-by-step explanation:
Find the value of x
Answer:
Left triangle:
69+69+x=180
x=42
90-42=48
x=48
Let me know if this helps!
5th grade math. correct answer will be marked brainliest.
Answer:
1 7/30
Step-by-step explanation:
3 - (1 1/6 + 3/5) =
3 - (1 5/30 + 18/30) =
3 - 1 23/30 =
1 7/30
Hope that helps!
solve : x + 6 = 16 with sum
Answer:
x = 10
Step-by-step explanation:
this is because if we look at the equation and do the opposite of addition (subtraction) we will have an equation that looks like this
16 - 6 = x
with this info we can now infer that 16 - 6 will give us a sum of 10
16 - 6 = 10
x = 10
we can as well as check our answer by plugging in the 10 into our original equation
10 + 6 = 16
which will give us the correct mathematical equation
324 crayons divided by 24 crayons
24 crayons can be divided into 324 crayons exactly 13.5 times.
We have,
To find out how many times 24 crayons can be divided into 324 crayons, simply perform the division:
So,
324 crayons ÷ 24 crayons
= 324/24
= 13.5
Therefore,
24 crayons can be divided into 324 crayons exactly 13.5 times.
Learn more about expressions here:
https://brainly.com/question/3118662
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I'm confused can u help
What is the rate of change of the linear relationship modeled in the table?
х у
-2 5
-1 4
0 3
1 2
Answer:
the slope of the line is -1, if that is what you mean
Step-by-step explanation:
y2-y1/x2-x1
Marking brainliest!!
What should I put for the second question? I am confused. HELPP
A grocery store counts the number of customers who arrive during an hour. The average over a year is 10 customers per hour. Assume the arrival of customers follows a Poisson distribution. (It usually does.) Find the probability that at least one customer arrives in a particular one minute period. Round your answer to 3 decimals. Find the probability that at least two customers arrive in a particular 4 minute period. Round your answer to four decimals.
Answer:
0.1535 = 15.35% probability that at least one customer arrives in a particular one minute period.
0.1443 = 14.43% probability that at least two customers arrive in a particular 4 minute period.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
Find the probability that at least one customer arrives in a particular one minute period.
The average is of 10 customers per hour(60 minutes), so for this case, [tex]\mu = \frac{10}{60} = \frac{1}{6}[/tex]
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-\frac{1}{6}}*(\frac{1}{6})^{0}}{(0)!} = 0.8465[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8465 = 0.1535[/tex]
0.1535 = 15.35% probability that at least one customer arrives in a particular one minute period.
Probability that at least two customers arrive in a particular 4 minute period.
The average is of 10 customers per hour(60 minutes), so for this case, [tex]\mu = \frac{10*4}{60} = \frac{4}{6} = \frac{2}{3}[/tex]
This probability is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-\frac{2}{3}}*(\frac{2}{3})^{0}}{(0)!} = 0.5134[/tex]
[tex]P(X = 1) = \frac{e^{-\frac{2}{3}}*(\frac{2}{3})^{1}}{(1)!} = 0.3423[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.5134 + 0.3423 = 0.8557[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.8557 = 0.1443[/tex]
0.1443 = 14.43% probability that at least two customers arrive in a particular 4 minute period.
Solve the given equation for .
(8x•Ax)/Bx=6
Answer:
x=[tex]\frac{3B}{4A}[/tex]
Step-by-step explanation:
8xax/bx=6
8ax=6b
8ax/8a=6b/6a
x=3b/4a
Hopefully this makes sense :)
A restaurant customer left 1.65 as a tip the tax was 7% and the tip was 15% of the after tax cost which information is not needed to compute the bill after tax and tip what was the total bill
A.the customer left 1.65 as a tip
B.the tax was 7%
C.the customer left a 15% tip
D.all of this information is needed to solve the problem
Answer:
D. All of this information is needed to solve the problem
Thank you
A bike travels 7 feet in 1/3 of a second
At the same speed, how many feet will
it travel in 5 seconds?
A) 35 feet
B) 155 feet
C) 105 feet
D) 21 feet
A) 35 Feet
7x5-35
Answer:
C) 105 feet
Step-by-step explanation:
7(15) = 105 feet
Answer:
C
Step-by-step explanation:
Set one second to x
7 = 1/3x
5÷1/3 = 15
7*15 = 105
Thus, we get C, or 105 as our answer
find the area of circle plz help will be much appreciated thanks
Answer:
Is there an option for 201.06 cm2
Answer:
201 cm
Step-by-step explanation:
carry out the following divisions.
Answer:
9a²b²c²
Step-by-step explanation:
72a³b⁴c⁵ / 8ab²c³
= 9a²b²c²
Help Please I don’t understand
Answer:
128.10
Step-by-step explanation:
(8 * 16.95) - 7.50
(135.6) - 7.50
128.10
How do I figure this out?
Find the missing exponent.
10
100
Submit
HELPPPPPPP plsss i rlly need help
Answer:
6. unbiased because there is no opinion involed
7. biased because favortie is an opinionated word
8. representative because she is not interviewing everyone but only a small number of people to come up with representative data for the whole workplace
Find the value of each variable
PLEASE PLEASE HELP ME
Pls help I’ll brainlest ASAP
Answer:
A
Step-by-step explanation:
The m would be greater than 8+4 because it said that he has at least $8 more dollars
WILL MAKE BRAINLIEST!!!
what are the slopes of each line?
Corresponding Angles are congruent.
Which angle corresponds with 47?
H
«[?]
4748
45/46
Answer:
Angle 1 is corresponding angle with Angle 7.Hope this will help you.
Answer:
Angle 1
Step-by-step explanation:
When two parallel lines are crossed by traversal line, the angles in matching corners are called corresponding angles
Angle 7 and angle 1 are corresponding
Hey guys I need help asap
A salesman earns 15% commission on each household appliance he sells. If he sells 6 toasters at $32 each, what is the commission that he earned?
Answer:
$28.8
Step-by-step explanation:
6x32=192
15% of 192 is 28.8
The following dot plot represents a random sample of elementary students and the number of children that live in their home.
How many elementary students are in this random sample? Use a numerical value as your answer.
Answer:
i have the same question
Step-by-step explanation:
Simplifying expressions -5y-7+6+13y
-5y - 7 + 6 + 13y =
= -5y + 13y - 7 + 6 = 8y - 1
Answer:
8y-1
Step-by-step explanation:
combine like terms
-5y+13y=8y
-7+6=-1
IT'S A TIME SENSITIVE EMERGENCY!!!
2. Mai, Clare, and Tyler are hiking from a parking lot to the summit of a mountain. They pass a sign that gives distances. Parking lot: mile Summit: 1 miles Mai says: "We are one third of the way there." Clare says: "We have to go twice as far as we have already gone." Tyler says: "The total hike is three times as long as what we have already gone." Can they all be correct? Explain how you know.
Complete question is missing, so i have attached it.
Answer:
Yes, they are all correct
Step-by-step explanation:
From the attached image, we see that the sign is showing;
Parking lot: ¾ miles
Summit: 1½ miles
Summit distance can also be expressed as an improper fraction = 3/2 miles
Now, since they started hiking from the park to the summit, it means that they had moved ¾ mile from the parking lot and had 3/2 miles left to get to the summit.
Thus, total distance from parking lot to summit = ¾ + 3/2 = 9/4 miles
Now, let's analyze each of their statements;
Mai said they are a third of their way there.
They had covered 3/4 mile and the total distance is 9/4 miles.
Thus, fraction of total distance covered is;
9/4 ÷ 3/4 = 1/3.
So, Mai is correct
Clare said they have to go twice as far as they had already gone.
They had covered 3/4 miles.
Therefore, twice this = 2 × 3/4 = 6/4 = 3/2 which is same as the sign distance left to the summit.
Thus, Clare is correct
Tyler said that the total hike is three times as long as what we have already gone.
They had gone 3/4 miles
3 times this = 3 × 3/4 = 9/4 miles.
This tallies with the total distance calculated earlier.
Thus, they are all correct
what is the answer 4/5 + 1/2
Answer:
1.3
Step-by-step explanation:
the internet said it was 1.3
one more question whats 6/8 times 40
Answer:
30
Step-by-step explanation:
hope it helps <3