Answer:
a) The class interval containing the median is the interval 2 ≤ h < 3
b) The mean number of hours the children spent on their tablets is 2.2 hours.
Step-by-step explanation:
a) The given parameters are;
The number of students that spent 0 ≤ h < 1 hour = 4
The number of students that spent 1 ≤ h < 2 hours = 8
The number of students that spent 2 ≤ h < 3 hours = 11
The number of students that spent 3 ≤ h < 4 hours = 7
The median is given by the location of the 15th child which is located in the interval given as follows;
We note that the total number of children is obtained by adding the frequencies of the intervals together, as follows;
The number of children = 4 + 8 + 11 + 7 = 30
The frequency of the first interval = 4
The sum of the first + Second intervals = 4 + 8 = 12
The sum of the first + Second + Third intervals = 4 + 8 + 11 = 23
Therefore, the class interval containing the median is the interval 2 ≤ h < 3
b) We use the midpoint of each class interval to find the mean as follows;
The mean = ∑fh/∑h
∴ The mean = (4 × 0.5 + 8 × 1.5 + 11 × 2.5 + 7 × 3.5)/(4 + 8 + 11 + 7) = 2.2
The mean number of hours the children spent on their tablets = 2.2 hours.
What are the x and y Intercepts for the equation / graph 2x + 5y = 10
Answer:
y-intercept: 2
x-intercept: 5
Step-by-step explanation:
2x + 5y = 10
Let x = 0
2(0) + 5y = 10
y = 2
y-intercept: 2
Let y = 0:
2x + 5(0) = 10
2x = 10
x = 5
x-intercept = 5
The relay race is just over one mile long, approximately yards. If Jack and 4 other people each run a leg of the relay, how many yards will each runner run? Justify your answer using an estimation strategy.
Answer: By dividing 1760 by the jack and his friends, you get 352 yards per person
Step-by-step explanation:
hope it helps please consider giving brainliest
Answer:
im answering so you can give other person brainliest
Step-by-step explanation:
Paige earned $15.50 per hour. She received a 15% raise. How much more does Paige earn now per hour?
Answer:
232.5
Step-by-step explanation:
If you take 15.50 and multiply it by 15 you get 232.5 if its wrong my apologies
Answer: $2.33
Step-by-step explanation:
Your formula for percent is % times X = Y.
So you multiply 15% x 15.50 and you get 2.325 and you round it up and the 5 makes your 2 go to a 3 and you get $2.33
What is the length (in cm) of a rectangle with width 14 cm and area 168² cm
Answer:
12
Step-by-step explanation:
Area = length * width
length = area ÷ width
The ratio of pens to pencils is 5 to 4. If there are 25 pencils, how many pens are there?
Answer: 20 pens
5x5=25
5x4=20
Brandy only has $23 in cash to spend on drinks, and the concession stand charges $3.75
for a drink. If x represents the number of drinks purchased, and y is the amount of money
spent on drinks, what is the range in this situation?
Answer:
{0, 3.75, 7.5, 11.25, 15, 18.75, 22.5}
Step-by-step explanation:
Since the values in this function cannot go on infinitely this is a discrete funciton.
Its basically asking how much he can spend on drinks with 23$ if they are each 3.75$, this means that he can buy at most 6 drinks. Imagine a disctrete graph with a point on every value he spends per drink, (0,0) (1 , 3.75) (2 , 7.5) etc.
As our bright fellow shadow188 has stated, y is the range or the output so you list the possible outputs for the range in bracets.
I hope you found this helpful, ik its a little late.
The required range will be $3.75 ≤ y ≤ $23 for the function.
Given that,
Brandy only has $23 in cash to spend on drinks, and the concession stand charges $3.75 for a drink.
x represents the number of drinks purchased, and y is the amount of money spent on drinks, what is the range in this situation is to be determined.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
Let the x be the cost of the drink and y be the total amount of money spent,
Since there are concession stand charges of $3.75 also.
So the minimum charge will be $3.75 whether bought the drink or not, and Brandy has $23 to spend on drinks so the maximum will be $23.
So, the range can be given as $3.75 ≤ y ≤ $23.
Thus, the required range will be $3.75 ≤ y ≤ $23 for the function.
Learn more about function here:
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1. If you increase a number by ten, the result is less than sixteen
2. A number w times two is less than it equal to negative eight
Answer:
1. 1, 2, 3, 4, or 5
2. as long as it is -4, -5, -6, -7, and so on
Step-by-step explanation:
10 to the power of 4 as a decimal
Answer:
You treat it as 10^4 (the small number is the number of zeros. Therefore the answer is 10000. Or of you meant 10^-4. Its the same concept, just reversed. So the answer in this case is 0.0004.
Cheers! :)
10 to the power of 4 is equal to 10,000.
To calculate 10 to the power of 4 as a decimal, you need to raise the base number (10) to the exponent (4).
Here are the steps to compute it:
Step 1: Start with the base number, which is 10.
Step 2: Multiply the base number (10) by itself 4 times, since the exponent is 4. The calculation looks like this:
10 x 10 x 10 x 10 = 10,000
Step 3: The result of multiplying 10 by itself 4 times is 10,000.
So, 10 to the power of 4 (10⁴) is equal to 10,000.
Hence 10 to the power of 4 is equal to 10,000.
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I NEED HELP ASAP, PLZ SHOW THE WORK, ILL GIVE THE FIRST PERSON WITH A GOOD ANSWER BRAINLIEST!!
Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−1 intersect are the solutions of the equation 4x = 2x−1. (4 points)
Part B: Make tables to find the solution to 4x = 2x−1. Take the integer values of x between −4 and 4. (4 points)
Part C: How can you solve the equation 4x = 2x−1 graphically? (2 points)
(10 points)
Answer:
Part A: So the solution for 4 = 2x-1 is -2. Why they're intersecting is because x is -0.5 in both cases. 2/4, as we already know, is 0.5. Since, this -2/4, we can just make 0.5 negative, so -0.5. -0.5 times 4 = -2, so x is -0.5. For y = 2x-1, multiply -0.5 by 2, which would get you -1. Then after that subtract 1, for -2.
Part B:
Well, notice how none of the entries for y = 4x and y = 2x-1 match. That would mean the answer wouldn't be an integer. (Attachment is the table)
Part C:
First, graph both y = 4x and y = 2x-1. After that, find where the two equations' y-coordinates are the same (So, on a graph, where they intersect.). The y-coordinate in common is your answer.
Answer:
A: the intersection represents the answer because the place where it intersects is where the equations have the same x values.
B: they intersect at the point (0,1)
C: plot the equations on an online graph and solve, Its almost impossible to draw an accurate continuing graph for an exponential equation. I recommend desmos.
Step-by-step explanation:
I have a graph for part B.
5-gallon bucket of paint for $67.45 or 1 gallon of paint for $13.99! What is the answer I need it for a homework assignment
Please help ASAP please
Answer:
A and C
Step-by-step explanation:
Answer the problem below please.
Answer:
green was the imposter
Step-by-step explanation:
Answer:
(6,0)
Step-by-step explanation:
x is horizontal, along the bottom of the graph and the line goes through at the 6th line.
One year, Joey Chestnut won a hot dog eating contest by eating 66 hot dogs
in 12 minutes. If he ate at a constant rate, fill in the blank in the ratio table
to determine how many hot dogs he can eat in 4 minutes.
HELP ME REALLY FAST PLSSSS IM BEGGINGG YOUUUUUU I NEED HELP RNNNN
quem poder me ajudar, eu agradeço, olhem a imagem a baixo
Answer:
counfsed so can u write it in english ?
Step-by-step explanation:
Divide. Round to the nearest tenth.
8 divided by 6.403
Answer:
1.2
Step-by-step explanation:
(I am not a good explainer)
plz help me what is y=4x+8
Gary's pay is $15 per hour. He receives a 6% pay raise.
What is Gary's new hourly pay rate?
PLEASE HELP!!! Any help will be greatly appreciated
!
Answer:
Gary's new pay rate is $15.90 per hour.
Step-by-step explanation:
15 + 6% = 15.9
A refrigerator usually sells for $1000, but is on sale for $850, find the
percent change. *
Answer:
-15%
Step-by-step explanation:
percentage change is calculated by
(new price - old price) / old price
(850 - 1000) / 1000
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Answer:
15%
Step-by-step explanation:
1. Subtract the sale price from the normal price.
$1000 - $850 = $150.
2. Divide this amount by the original price.
$150/$1000 = 0.15
3. Multiply by 100 to get the %.
0.15 x 100 = 15%
PLEASE HELP ASAP
Negative 4/4 + 160% + 1/5
ENTER THE ANSWER AS AN EXACT DECIMAL OR SIMPLIFIED FRACTION
Answer:
0.8 or 8/10
Step-by-step explanation:
Answer:
4/5 or 0.8
Step-by-step explanation:
so, -4/4 and 1/5 are both already fractions.
160% as a decimal would be 1.6. 1.6 as a fraction would be 8/5.
-4/4 is just -1
-1+1/5+8/5
so, -5/5 +1/5 +8/5
-5/5 plus 9/5
4/5
the answer would be 4/5 or 0.8
What is the distance between -8 and 4?
Answer: 12
Step-by-step explanation:
-8 is 8 away from 0.
4 is 4 away from 0.
8+4 = 12
Hope this helps!
plz help me to solve this all answer.
Step-by-step explanation:
The formula of a circumference of a circle with radius r:
[tex]C=2\pi r[/tex]
Solve for r:
[tex]2\pi r=C[/tex] subtitute [tex]\pi\approx\dfrac{22}{7}[/tex]
[tex]2\cdot\dfrac{22}{7}r=C[/tex]
[tex]\dfrac{44}{7}r=C[/tex] multiply both sides by 7
[tex]44r=7C[/tex] divide both sides by 44
[tex]r=\dfrac{7C}{44}[/tex]
Substitute the values of the circumference from your question:
[tex]i.\ C=88cm\\\\r=\dfrac{7\cdot88}{44}=\dfrac{7\cdot2}{1}=12(cm)\\\\=================[/tex]
[tex]ii.\ C=1.4m\\\\r=\dfrac{7\cdot1.4}{44}=\dfrac{9.8}{44}=\dfrac{98}{440}=\dfrac{49}{220}(m)\\\\====================[/tex]
[tex]iii.\ C=16m\\\\r=\dfrac{7\cdot16}{44}=\dfrac{7\cdot4}{11}=\dfrac{28}{11}(m)\\\\=================[/tex]
[tex]iv.\ C=33ft\\\\r=\dfrac{7\cdot33}{44}=\dfrac{7\cdot3}{4}=\dfrac{21}{4}(ft)\\\\=================[/tex]
[tex]v.\ C=5m\\\\r=\dfrac{7\cdot5}{44}=\dfrac{35}{44}(m)\\\\===============[/tex]
[tex]vi.\ C=66m\\\\r=\dfrac{7\cdot66}{44}=\dfrac{7\cdot3}{2}=\dfrac{21}{2}(m)\\\\================[/tex]
What are two numbers that multiply to the value on top and add to the value on bottom
is this correct?
a * b = -70
a + b = -9......a = -9 - b
b(-9 - b) = -70
-b^2 - 9b + 70 = 0
(-b + 5)(b + 14) = 0
-b + 5 = 0
5 = b
b + 14 = 0
b = -14
ur numbers are -14 and 5
-14 * 5 = -70
-14 + 5 = -9
Please answer the following attached image:
Answer:
6i
Step-by-step explanation:
[tex]\sqrt{-36} = \sqrt{36} \sqrt{-1}[/tex]
[tex]\sqrt{36}[/tex] is 6 and symbol for [tex]\sqrt{-1}[/tex] is i for imaginary. So your answer will be 6i
Ravi drives to his aunts house. His aunt lives 200 miles away. Ravi will stop and call his aunt when he is less then 50 miles from her house. He drives at a speed of 60 miles per hour. When should Ravi stop and call his aunt?
Answer:
Step-by-step explanation:
34241
What is the y-intercept of the equation y = 2x + 5
y-intercept is at 5.
from y = mx+b
m is the slope
b is the y-intercept.
Solve the matrix equation for X. Simplify all elements.
[-5
-3] = X- [-8 -8]
Answer:
x= -24
Step-by-step explanation:
Hope it helps.
Answer the problem below please. Thank you.
Answer:
(0,1)
Step-by-step explanation:
x-intercept: (2,0)
Y-intercept: (0,1)
It's when x is zero and the form (x,y)
Find the domain and range of the function
Answer:
domain: (-∞ , ∞)
range: (-∞, 2]
Step-by-step explanation:
the domain is the set of values of what the x value can be. This function is parabolic and upside down, it can have a range of x values from - infinity to positive infinity. The function is most likely y=-x^2 +2
range is the output (y values) the function can possibly have. the max is 2 and includes 2 so we use bracket for that. The smallest y value can reach towards negative infinity.
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19. The perimeter of the rectangle is 36 centimeters.
3
What is the length of the diagonal?
o
A. 108 centimeters
o B. V 144 centimeters
O C. 216 centimeters
D. 234 centimeters
Answer:
I think its b
Step-by-step explanation:
Annabeth has $29.00 to spend at the sporting goods store. She buys a T-shirt that costs $15.32. She also wants to buy a soccer ball for $12.87, a baseball cap for $8.39, a set of shin guards for $14.98, or a water bottle for $5.93. Use the equation $15.32 + c = $29.00, where c is the item cost, to select the most expensive item she can buy. A. 00:00 soccer ball B. 00:00 baseball cap C. 00:00 shin guards D. 00:00 water bottle
Answer:
B. Baseball cap
Step-by-step explanation:
Given that:
Total money available with Annabeth = $29.00
Amount at which T-shirt was bought = $15.32
Things that Annabeth wants to buy:
Soccer ball for the price of $12.87 or
Baseball cap for the price of $8.39 or
Set of shin guards for the price of $14.98 or
Water bottle for the price of $5.93
The equation that can be used to find the cost of most expensive item with the remaining amount of money:
$15.32 + [tex]c[/tex] = $29.00
[tex]\Rightarrow c = 29 - 15.32\\\Rightarrow c= \$13.68[/tex]
Cost of items that can be bought in the decreasing order is:
Cost of pair of shin guards ( $14.98 ) > Cost of soccer ball ( $12.87 ) > Cost of baseball cap ($8.39) > Cost of water bottle ( $5.93 )
The most expensive item that can be bought is the Soccer ball at $12.87.
Answer is:
B. Soccer ball
Cost of shin guards is more than the amount of money remaining.