a) the modal class interval is 0 - 2
b) the mean number of letters delivered = 3.2
In this question, we have been given the table that shows some information about the number of letters delivered to 50 houses.
a) To find the modal class interval
In given table, the maximum frequency is 25 and the corresponding class-interval is 0 - 2.
so, the modal class interval is 0 - 2
b) To find an estimate for the mean number of letters delivered.
Number of letters | mid-point | Number of | (mid-point × frequency)
delivered | | houses |
0 - 2 | 1 | 25 | 25
3 - 4 | 3.5 | 12 | 42
5 - 7 | 6 | 8 | 48
8 - 10 | 9 | 5 | 45
----------------------------------------------------------------------------------------------------
Total : 50 160
Mean = 160 / 50
= 3.2
Therefore, a) the modal class interval is 0 - 2
b) the mean number of letters delivered = 3.2
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Daniel can paint a house in 10 days, while his father can paint the same house in 6 days. If they work together, how long will they finish the job? I need asap answer plssss
Answer:
3[tex]\frac{3}{4}[/tex] days
Step-by-step explanation:
Let the amount of work be x.
Daniel:
10 days = x
1 day = [tex]\frac{1}{10}[/tex]x
Father:
6 days = x
1 day = [tex]\frac{1}{6}[/tex]x
Together:
1 day = [tex]\frac{1}{10}[/tex]x + [tex]\frac{1}{6}[/tex]x
= [tex]\frac{6}{60}[/tex]x + [tex]\frac{10}{60}[/tex]x
= [tex]\frac{16}{60}[/tex]x
= [tex]\frac{4}{15}[/tex]x
No. of days = [tex]\frac{15}{15}[/tex]x ÷ [tex]\frac{4}{15}[/tex]x
= [tex]\frac{15}{15}[/tex]x × [tex]\frac{15}{4}[/tex]x
= [tex]\frac{225}{60}[/tex]
= 3[tex]\frac{3}{4}[/tex]
determine the intercepts of the line2x+5y=-6
Answer:
y=−2/5x−6/5
Step-by-step explanation:
Jake is traveling 13 mph in his boat. After 4 hours, how far will he have traveled?
Answer:
Step-by-step explanation: First create an equation. So it'll be...
M(h)=13h (M= Miles & H = Hours)
Plug in the 4 where the h is at so...
M(4) = 13(4)
So then multiply 13 by 4 and you get 52.
So the answer is..
At 4 hours Jake would have traveled 52 miles.
or the equation is
M(4) = 52
What is the solution of StartRoot x + 2 EndRoot minus 15 = negative 3?
I couldnt find a solution for this on here so Ill post it :)
Its A: x=142
Answer:
142!!!!
Step-by-step explanation:
Just got 100 on edge! Love you, you are doing amazing keep going!
Answer:
A
Step-by-step explanation:
Please answer the two question in the photo [ Brainliest + points ]
Answer:
3. obtuse
4.acute
Step-by-step explanation:
Right answer please
Calculate (3.012 x 10−8) + (4 x 10−8).
3.016 x 10−16
7.012 x 10−16
7.012 x 10−8
7.012 x 20−8
Answer: 7.012 x 10−8 ==> Option 3
Step-by-step explanation:
(3.012 x 10−8) + (4 x 10−8)=
(3.012+4) x 10−8=
(3.012+4.000) x 10−8=7.012 x 10−8 ==> Option 3
Calculating the expression (3.012 x 10−8) + (4 x 10−8) is 7.012 x 10^(-8).
How to calculate (3.012 x 10−8) + (4 x 10−8).To calculate (3.012 x 10^(-8)) + (4 x 10^(-8)), we can add the numbers as follows:
(3.012 x 10^(-8)) + (4 x 10^(-8)) = (3.012 + 4) x 10^(-8) = 7.012 x 10^(-8)
So, the correct answer is 7.012 x 10^(-8).
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15 in
The perimeter of this regular hexagon is
A)
15 inches.
B)
21 inches.
72 inches
D)
90 inches.
Answer:
a 100000000000000000000% i hope
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
15 times the six sides of the hexagon
There are 56 students in a school play. The ratio of boys to girls is 3:5. How many girls are in the school play?
Answer:
35 girls
Step-by-step explanation:
First add the ratios together ( 3+5) this will give you 8. Then divide the total number of students by 8, this will get you 7. Now multiply 7 to 3 and multiply 7 to 5. As the ratio of boy to girl is 3 to 5, to find how many girls are in the school play we multiply 7 to 5. This makes 35 girls.
If you want to check, 7 x 3 =21 boys and 7 x 5=35 girls. 35 +21= 56 (the total number of students).
7. -50 + 5 p 13
(p= -26)
will give 5 stars
-17.6
Because
50 + 5/13 x -26
50+2.6 x -26
50 + -67.6
-17.6
20 POINTS!!
two lines are cut by a transversal such that a pair of alternate interior angles are right angles. are the two lines parallel? explain
PLEASE ANSWER
Step-by-step explanation:
You are given a pair of alternate interior angles which are both right angles and are formed by a transversal line cutting two lines. That means the pair of angles are congruent.
Use the Alternate Interior Angles Theorem and by that those two lines must be parallel.
what is the slope and y-intercept
Answer:
slope = 2
y int = -4
Step-by-step explanation:
4x - 2y > 8
8 < 4x - 2y
/-2
-4 < -2x + y
2x - 4 < y
slope = 2
y int = -4
(I'm not sure if it is right sorry! hope this helps!)
An area model has 4 shaded parts and 4 unshaded parts. The shaded parts are labeled one-half.
Emma and her 3 friends were thirsty, so she shared One-half gallon of lemonade equally among 4 people. How much lemonade did each person get?
One-half divided by 4 =
.
Answer:
1/8 half-gallon or 1/16 full gallon
Step-by-step explanation:
Emma and her 3 friends= Four people
Four people shared 1/2 gallon= 1/2 divided by 4
1/2 divided by 4= 1/8
Each person got 1/8 of the half gallon.
This would mean that out of a FULL gallon, they would get 1/16
Area of a circle of the diameter is 9.5
Answer:
A = 70.88 units squared assuming that you're using the value pi
Step-by-step explanation:
Answer:
70.91 ansStep-by-step explanation:=22/7×(4.75)^2=22/7× 22.5=496.37 /7=70.91 answer please follow me and thanks for my answerWhen asked to find the value of x for
which f(x)=17, Danny answered 39. What
mistake did Danny make? What is the
correct answer?
Answer and Step-by-step explanation:
We are not given the function in question, but in order to explain, will form a function. Suppose f(x) = 3x + 2.
If f(x) = 17, then
3x + 2 = 17, to find the value of x, we have solve for x in the equation.
3x = 17 – 2
3x = 15
x = 5
This is the method that can be used to solve problems of this nature.
The regular price of an electric scooter is $290. It is on
sale for 20% off. Sales tax is 7%. What is the cost of the
electric scooter after the discount and sales tax are
applied?
$232.00
$294.06
$310.30
$248.24
Answer:
The cost of the electric scooter after the discount and
sales tax will be: $248.24
Step-by-step explanation:
The regular price of an electric scooter = $290
Discount = 20%
The discount price = 20% × 290
= 20/100 × 290
= $58
The price after the discount = $290 - $58 = $232
Sales tax = 7%
Sales tax amount = 7% × 232
= 7/100 × 232
= $16.24
The cost after the discount and sales tax = $232 + $16.24
= $248.24
Thus, the cost of the electric scooter after the discount and
sales tax will be: $248.24
Twice a number added to another number is 15. The sum of the two numbers is 11. Find the numbers. Write the numbers from least to greatest
Answer:
4 and 7
Step-by-step explanation:
There are probably several ways to do this but this is how I did it:
First, I listed all the number combinations, that added together equaled 11.
This is what it looked like:
1, 10
2, 9
3, 8
4, 7
5, 6
6, 5
7, 4
I stopped here since the next step would be to double the first number and 8*2 would already be more than 15.
Then, I doubled the first number and added the second number to it, when I saw that didn't equal 15, I eliminated that possibility and moved on to the next set of numbers. When I reached 4, 7 I saw that 4*2 equaled 8 and 8 plus 7 equals 15 so I had the answer.
There are probably much more efficient ways to do this but this is how I did it.
Hope it helped!
The first number is 4 and second number is 7.
Let us consider that first number is x and second number is y.
[tex]2x+y=15\\\\x+y=11[/tex]
Substitute [tex]y=11 - x[/tex]in equation [tex]2x+y=15[/tex]
[tex]2x+11-x=15\\\\x=15-11=4[/tex]
So, [tex]y=11-x=11-4=7[/tex]
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PLEASE HELP!! ILL HIVE BRAINLIEST IF ITS RIGHT!
Answer:
This would be Helium(He)
Step-by-step explanation:
Its Helium because the bohr model in the picture has 2 electrons.
On the periodic table, it says that Helium has 2 protons which are also equal to electrons
Answer:
The answer is (He) also known as Helium!
Three partners in a business receive profits in the ratio 2 : 4 : 8. A fourth partner automatically receives $50,000 profit. The company during the year has a profit of $400,000. What are the amounts for the other three partners?
Please answer ASAP, whoever answers correctly will get BRAINLIEST!!!
The amounts for the other three partners are $25000, $100000, and $200000.
How to compute the value?The amount that the other people will share will be:
= $400000 - $50000
= $350000
Therefore this will be divided as follows:
A = 2/(2+4+8) × $350000
= 2/14 × $350000
= $25000
B = 4/14 × $350000
= $100000
C = 8/14 × $350000
= $200000
Therefore, the amounts for the other three partners are $25000, $100000, and $200000.
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What is the unknown number that makes the equation true?
44 x 32 =
+ 120 + 80 + 8 (3 points)
1,200
1.100
800
700
Marked !
GUYS PLEASE I REALLY NEED HELP IM NOT ABLE TO SPEND TIME WITH MY FAMILY WHILE THEIR HERE PLEASE:(:(:(
Roda ran 89 feet down the sideline of a football field. How many yards did Roda run?
A. 29.6 yard
B. 267 yards
C. 0.3 yards
D. 23 yards
Answer:
looks like it's 29.6 yards
Which equation in slope-intercept form represents a line that passes through the point (2,3) and is
perpendicular to the line y - 9 = (0 + 7)?
Answer:
The answer is below
Step-by-step explanation:
Which equation in slope-intercept form represents a line that passes through the point (2,3) and is perpendicular to the line y−9=23(x+7)
Solution:
The equation of a line in slope intercept form is given as y = mx + b, where m is the slope and b is the y intercept.
Given a line y−9=23(x+7)
y - 9 = 23x + 161
y = 23x + 170. The slope of this line comparing with y = mx + b gives m = 23
Two lines are perpendicular if the product of their slope gives -1.
Let [tex]m_1[/tex] be the slope of the perpendicular line, hence:
[tex]m_1(23)=-1\\\\m_1=\frac{-1}{23}[/tex]
Since the perpendicular line passes through (2, 3), we can get its equation using:
[tex]y-y_1=m_1(x_x_1)\\\\y-3=\frac{-1}{23}(x-2)\\\\y= \frac{-1}{23}x+\frac{2}{23}+3\\\\ y= \frac{-1}{23}x+\frac{71}{23}[/tex]
What is the value of x in the solution to this system of equations?
3x−6y=45
y=−2x+5
Neeeeeeeeeeeeeeeeed heeeeeeeeeeeeeeeeelp!!!!!!!!!!!!!!!!!!!!!!!!
Which expression is equivalent to 8 - (6r + 2)
-6r + 6
2r + 2
6r + 10
-6r + 10
Answer: -6r + 6
Hope this helps :)
Answer:
-6r + 6
Step-by-step explanation:
The sum of two numbers is 3. When you take twice the smaller number and add it to 6 times the larger number you get 16. What are the two numbers?
Wich is the best approximation of the square root of 51
Answer:
the square root of 51 is 7.14142842854 so the most logical answer would be D
Hope this helps!
what is 9 1/2 + 12 find the value
Answer:
21 1/2
Step-by-step explanation:
C. Aunt Beth bought 1 3/8 yards of blue ribbon
and 1/2 yards of green ribbon. How much
more blue ribbon was bought?
7/8 yards more blue ribbon was bought
How much more blue ribbon was bought?
The given parameters are
Blue ribbon = 1 3/8 yards
Green ribbon = 1/2 yards
The amount of excess ribbon that is blue is
Excess = Blue ribbon - Green ribbon
So, we have
Excess = 1 3/8 yards - 1/2 yards
Evaluate the difference
Excess = 7/8 yards
Hence, 7/8 yards more blue ribbon was bought
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Which is the graph of the equation
(x-1)^2/3^2+y^2/4^2=1
?
A.
A
B.
B
C.
C
D.
D
Answer:
The correct answer is C
Step-by-step explanation:
Tbh I just guessed but I got a 100% on the test, so I hoped that helped
Answer:
yeah its c
Step-by-step explanation:
At what value of x do the graphs of the equations below intersect?
-2x +y = -6
1x + 2y = -2
They intersect at an x value of
Answer:
They intersect at an x value of 2
Step-by-step explanation:
Rewrite the equations into slope y-int form:
-2x + y = -6
y = 2x - 6
x + 2y = -2
2y = -2 - x
y = -1/2x - 1
Next, set the two equations as equal and solve for x:
2x - 6 = -1/2x - 1
2x + 1/2x = -1 + 6
4x + x = -2 + 12
5x = 10
x = 2