Define the variables and translate the following statements into
algebraic inequalities.
"You buy hamburgers at a fast food restaurant. A
hamburger costs $0.49. You have at most $3 to spend.
Write an inequality for the number of hamburgers (6) you
can buy."
The variable should be on the left side of the inequality.
Etion
Check
nikal bhosdike gaand mara
A school has 500 students. 340 are boys
a student is chosen at random. find the probability that student is a girl
Answer:
p = 8/25
Step-by-step explanation:
500 - 340 = 160 girls
p = 160/500
p = 8/25
The College Board originally scaled SAT scores so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100. Assuming scores follow a bell-shaped distribution, use the empirical rule to find the percentage of students who scored greater than 700.
a. 95%.b. 2.5%.c. 5%.d. 97.5%.
Using the Empirical Rule, the percentage of students who scored greater than 700 is:
b. 2.5%
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.700 is two standard deviations above the mean. 5% of the measures are more than two standard deviations of the mean. Since the normal distribution is symmetric, 2.5% of these measures are below 300 and 2.5% are above 700, hence option B is correct.
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Polynomial is a combination of O constants O variables O exponents O all of the choices
Answer:
It would be all of the above.
Step-by-step explanation:
An example of a polynomial is:
2x^3 - 4x^2 +1x -8
Note how there are exponents, such as ^3 for example. There is also a variable, in this case x. Lastly, there are constants, which are numbers by themselves.
please hellp meeee :D
a) 20 ft
b) 32 mm
Step-by-step explanation:
a) The legs of the smaller triangle are 6-6-3. The larger triangle is 1/3 larger than the other triangle so the lengths of the legs are 8-8-4 so the perimeter is 20 ft.
b) Since one side of the larger square is 8 mm, this means that the perimeter is 4×8mm = 32 mm.
Answer:
i dont know what the answerris
Step-by-step explanation:
A chocolate milk container in the form of a rectangular prism is 5 cm long, 3 cm wide, and 9 cm high. How many cubic centimeters of chocolate milk can it hold?
WITH SOLUTION PLEASE
Hello there I hope you are having an great day :) A chocolate milk container in the form of a rectangular prism is 5 cm long, 3 cm wide, and 9 cm high. How many cubic centimetres of chocolate milk can it hold?
V = L x W x H
Volume = length x Width x Height.
V = (5cm) (3cm (9cm)
V = 135cm^3
Therefore, the chocolate milk container can hold 135 cubic centimetres. Hopefully that helps you :)
1.Show that the points (5,5),(6,4),(-2,4) and (7,1) are concyclic .Also find the equation ,centre and radius of the circle on which they lie.
Answer:
See belowStep-by-step explanation:
This is how I solved it.
Plotted the given points. See the attached.
Identified two pairs to connect, the two chords.
(5. 5) with (7, 1) and (6,4) with (-2, 4).Determined the equation of both lines:
y -5 = [( 1 - 5)/(7-5)](x - 5) ⇒ y - 5 = -2(x - 5)y = -2x + 15and
y = 4 (horizontal line)Identified perpendicular bisectors of those two chords, they both pass through the center of circle.
Midpoints of the chords:
[(5 + 7)/2, (5 + 1)/2] = (6, 3)and
(6 - 2)/ 2 = 2The equations:
y - 3 = 1/2(x - 6) ⇒ y = 1/2x x = 2 (perpendicular to y = 4 and passing through x = 2)Solving the system found the intersecting of those, the center.
Found the center:
(2, 1)Found the distance from the center to one of the points (7, 1):
7 - 2 = 5, this is the radiusThe equation of circle:
(x - 2)² + (y - 1)² = 25Verified all the other points are on same circle, confirmed.
solve the equation
f(n)=10⋅2n for n = -2
Answer:
f(n)= -40.
Step-by-step explanation:
Wanda Frey insured her home for $156,400. Her annual insurance rate is $0.83
per $100. What annual premium did she pay?
Answer:
$1,298.12
Step-by-step explanation:
there are 1564 hundreds in 156,400
so 1564 x .83 = 1298.12
Magdeline wants to know if the number of words on a page in her art book is generally more than the number of words on a page in her science book. She takes a random sample of 25 pages in each book and then calculates the mean, median, and mean absolute deviation for the 25 samples of each book.
Book Mean Median Mean Absolute Deviation
Art 68.7 50 15.4
Science 54.2 55 7.9
She claims that because the mean number of words on each page in the art book is greater than the mean number of words on each page in the science book, the art book has more words per page. Based on the data, is this a valid inference?
Answer:
Yes
Step-by-step explanation:
Because the mean is the total of all the words divided by the number of pages, so if the mean is higher, that means that there are more pages on average in the art book than the science book.
Answer:
no
Explanation:
there is a lot of variability in the art book data
Choose the correct name for the polygon.
VRUST
SRVUT
SRTUV
RSVUT
The name of polygon is SRVUT.
What is Polygon?In geometry, a polygon is any closed curve made up of a collection of continuous line segments (sides) without any intersections. Triangles (three sides), quadrilaterals (four sides), and pentagons are the three simplest polygons (five sides).
Given:
Usually while naming the polygon we have to focus on the letter to which each vertex is allotted.
and, the name of any geometrical shape should be in a flow, it should be like which letter come after the previous in clockwise or anticlockwise order.
Here, the polygon will have name:
VRSTU
RSTUV
STUVR
TUVRS
UTVRS
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Find the area of an 11-gon with side length 5 inches.
Answer:
234.141
Step-by-step explanation:
The formula is [tex]\frac{11}{4} *(s)^2*cot(\frac{\pi }{11})[/tex]. If you substitute 5 in, you get [tex]\frac{275}{4} *cot(\pi /11)[/tex] or 234.141
Find the area of the composite figure
Answer:
area of semicircle=76.969 inches
triangle is=10 in so 20 since there is 2 triangles made
rectangle=140 in
236.969 inches is the total
hope this helps
have a good day :)
Step-by-step explanation:
Determine the mode of the following data set:
-- 3, 12, 5, 12, 11, 2, 3, 10, 7, 6, 1, 4
a. 12
b. 3 and 12
c. no mode
d. 5
Step-by-step explanation:
3 AND 12 MAY BE
HOPE IT HELP U ...
Round 27346 to 2 significant figures i need a step by step expansion
Answer:
27000
Step-by-step explanation:
We want to round 27346 to 2 significant figures.
Now, the number already has 5 significant figures, so to reduce it to 2 sig figures, we will have to reduce the 3 digits from the right to zero so that we can have just 2 significant figures by approximating.
Thus, 3 is less than 5 and so 7 cannot increase. Thus, we will have 27000 as the number when reduced to 2 significant figures.
PLEASE HELP!! IM BEGGING !!
Answer:
0
Step-by-step explanation:
P(starts with M wins presidency) = required outcome / Total possible outcomes
Number of names which starts with M = 1
Total number of names = 5
P(starts with M wins presidency) = 1/ 5
For vice presidency :
Number of names which starts with M = 0
Total number of names = 4
P(starts with M wins vice presidency) = 0/4
P(name which starts with M wins presidency and vice presidency) = 1/5 * 0/4 = 0
SOMEONE PLEASE HELP!
I dont know Im sorry
Step-by-step explanation:
I just want points in not that smart
Geometric mean between 2 and 24
30 ft.
6 ft.
4 ft.
20 ft.
?
25 ft.
PLEASE HELP QUICK
Answer:
5 ft
Step-by-step explanation:
30/6 = 5
20/4 = 5
25/x = 5
25/5 = 5
x = 5
Answer:
5 feet
Step-by-step explanation:
the triangles are scaled by the factor of 5
Question 8
1 pts
Jerome went apple picking with his family. In his bag he had four Granny Smith
apples, two Honeycrisp apples, three Gala apples, and one Fuji apple. What is
the probability that he will pick a Honeycrisp apple out of his bag, eat it, and
then choose another Honeycrisp apple? Write your answer as a simplified
fraction.
Answer:
Total apples=10
no.of honeycrisp Apple=2
1). Probability-2/10. =1/5
now total apples left=9
tolyal honey crisp apples left=1
2) probability=1/9
The Probability that Jerome pick a Honeycrisp apple out of his bag is 1/5.
The Probability the Jerome pick to choose another Honeycrisp apple out of his bag is 1/9.
What is probability?Probability is "possibility that deals with occurrence random events".
According to the question,
Total number of apples = 10 apples
Total number of Honeycrisp apples = 2 apples
Formula for probability = [tex]\frac{Number of favorable events}{Total number of events}[/tex]
Probability that Jerome pick a Honeycrisp apple out of his bag = [tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex].
After taking one honey crisp apple remaining one left so subtracting one from total number of apples.
10 - 1 = 9
Probability that Jerome pick to choose another Honeycrisp apple out of his bag = 1/9.
Hence, the Probability that Jerome pick a Honeycrisp apple out of his bag is 1/5.
The Probability the Jerome pick to choose another Honeycrisp apple out of his bag is 1/9.
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The graph below shows Ariana's pay as a painter. How much does Ariana charge per painting?
Please I need this ASAP
Answer:
Step-by-step explanation:
Always work from the inside out. That means we will deal with the parenthesis first: (4 - 1)
That gives us
2[32 - (3)³]. Next deal with the exponents. That gives us
2[32 - 27]. Next, the last set of parenthesis, which are actually brackets:
2[5] which then, finally, becomes 10
Order of operations...PEMDAS
PLEASE HELPS ASAP!! ILL GIVE BRAINLIEST AND A THANKS!!
What is the area of a circle with a radius of 3/8 meters?
Answer:
3/8^2 = 9/64
9/64 x 3.14 = 0.4415625 rounded = 0.44
Formula area of a circle:
pi(3.14 or 22/7 or any other number depending what they tell you to use for pi) x radius(half of your diameter or given radius)^2(squared, to the power of 2)
pi x radius being squared
the concavity of a function is described by its
expression
1st derivative
2nd derivative
3rd derivative
The concavity of a function is described by its second derivative.
-The expression will not directly tell us whether the function is concave up or concave down and where it changes, though graphing the function may give us some sort of idea.
-The first derivative tells us the critical/important values (where there could be asymptotes), as well as where the function is increasing/decreasing.
-The second derivative tells us again the critical/important values, but also where the function is concave up/down. We find concavity in the same way we find increasing/decreasing using the first derivative.
-The third derivative, at least in my experience, has only been used to find acceleration of a function.
Hope this helps!! :)
The concavity of a function is described by its 2nd derivative
The concavity of a function is dependent on the rate of change of a function's derivative
Assume the derivative of a function is f'(x), so the second derivative would be represented as: f"(x)
When f"(x) > 0, then the function is concave downward.
However, if f"(x) < 0, then the function is concave upward.
Hence, the concavity of a function is described by its 2nd derivative
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Suppose you have a bag containing 2 black marbles and 3 red marbles. You reach into the bag, select a marble, see what color it is and replace it in the bag. Then you repeat this process. What is the probability of first selecting a black marble, replacing it and then selecting a red marble?
What is the range of the data set 1 2 3 4 5 6 7
Answer:
6
Step-by-step explanation:
Range = Highest number - Smallest number
From the data
Highest number = 7
Lowest number= 1
Range = 7 - 1
RAnge = 6
Hence the range of the dataset is 6
one clothing truck visits avas place every 3 days and another clothing truck visits noahs place every 5 days if both clothing trucks visited today when is the next time both trucks visit on the same day
Answer:
15 days
Step-by-step explanation:
Given
[tex]Truck\ 1: 3\ days[/tex]
[tex]Truck\ 2: 5\ days[/tex]
Required
Next time they both visit
First, list out days of visitation of each truck
[tex]Truck\ 1: 3, 6, 9, 12, 15, 18, 21\ days.....[/tex]
[tex]Truck\ 2: 5, 10, 15, 20, 25, \ days.....[/tex]
Write out the common days;
[tex]Day = 15[/tex]
The next time they both visit is the after 15 days
What is the fractional equivalent of the repeating decimal n=0.2727…?
Answer: 3/11 would be the answer
Help me PLEASEEEEEEEEEEEEE
Answer:
Option A:[tex] \frac{4}{5} \: gallon \: per \: week[/tex]Step-by-step explanation:
Given,
Gallon of juice drank in 5 weeks = 4
Therefore,
Gallon of juice drank in 1 week
[tex] = \frac{4}{5} (ans)[/tex]
Can someone please help me?
Answer:
yes i can
Step-by-step explanation:
Answer:
(2,7)
Step-by-step explanation: