Answer:
0.4589
Step-by-step explanation:
We solve using z score formula
The z score formula for a random number of samples is:
z = (x-μ)/σ/√n, where x is the raw score, μ is the population mean, and σ is the population standard deviation
Hence:
z = 246.7 - 245.3/96/√50
z = 0.10312
Probability value from Z-Table:
P(x<246.7) = 0.54107
P(x>246.7) = 1 - P(x<246.7) = 0.45893
Approximately to 4 decimal places = 0.4589
The probability that a single randomly selected value is greater than 246.7 is 0.4589
The four Western provinces cover about 2/7 of Canada's area. Alberta covers about 1/14 of Canada's area. What fraction describes how much of Canada's area is covered by British Columbia, Manitoba, and Saskatchewan? Explain
Answer:5/14
Step-by-step explanation:if you're just combining them all 2/7 is equal to 4/14 and add that to the existing 1/14 so 4/14+1/14=5/14 total area covered
Write in point-slope form an equation for the line through
the point (2, -3) that has the slope of -2. Use point-slope
form
Answer:
y=-2x+1
Step-by-step explanation:
y-y=m(x-x1)
y-(-3)=-2(x-2)
y+3=-2x+4
-3 -3
y=-2x+1
You got an A on 6 of your last 8 quizzes in Algebra 2. What is the experimental probability that you will get an A on your next quiz? (Simplify the fraction).
distribute 3(7x - 8)
Answer: 21x - 24
Step-by-step explanation:
(3 * 7) x - 3 (8) = 21x - 24
The Carey family took a trip in November. Mary is calculating the gas mileage in miles per gallon for her dad's truck. When he fills the tank, her dad records the miles on the truck as 15,345. Her dad pays $53.28 to fill up the empty gas tank of the truck. What is the size of the truck's tank in gallons if it cost $3.33 per gallon? Round your answer to the nearest whole number. Be sure to include the correct units in your final answer. *
Answer:
The size of the tank is 16 gallons
Step-by-step explanation:
Here, we want to calculate the size of the gas tank of the truck
we simply divide the total amount spent by the price per gallon
Mathematically, that will be;
53.28/3.33 = 16 gallons
Question 13 (1 point)
03.OSLO
What is the volume of a sphere with a radius of 6 inches?
1120 cubic inches
2880 cubic inches
2900 cubic inches
3000 cubic inches
Answer:
V=904.78 in^3
Step-by-step explanation:
V=4/3pir^3=4/3.pi.6^3=904.77868in^3
The function y=f(x) is graphed below. Plot a line segment connecting the the points on f where x=5 and x=7. Use the line segment to determine the average rate of change of the function f(x) on the interval
Answer: average y = -8 average y =2
ARC : -4
Step-by-step explanation:
Average rate of change is the change in the function per unit in a given interval. The average rate of change from [tex]x = 5[/tex] to [tex]x = 7[/tex] is -4
Given
The graph of [tex]y = f(x)[/tex]
See attachment for the points on f(x) that links [tex]x = 5[/tex] to [tex]x = 7[/tex]
The line segment is represented by a green line
To determine the average rate of change using the line segment; we have the following values.
When [tex]x =5; y = 8[/tex]
When [tex]x =7; y = 0[/tex]
So, the average rate of change (m) is:
[tex]m = \frac{\Delta y}{\Delta x}[/tex]
Where:
[tex]\Delta y = y_2 - y_1[/tex]
[tex]\Delta y = 0-8[/tex]
[tex]\Delta y = -8[/tex]
[tex]\Delta x = x_2 - x_1[/tex]
[tex]\Delta x = 7 - 5[/tex]
[tex]\Delta x = 2[/tex]
So, we have:
[tex]m = \frac{\Delta y}{\Delta x}[/tex]
[tex]m = \frac{-8}{2}[/tex]
[tex]m = -4[/tex]
Hence, the average rate of change from [tex]x = 5[/tex] to [tex]x = 7[/tex] is -4
Read more about average rate of change at:
https://brainly.com/question/2530409
What is the slope of the line that passes through points (-10, -3) and (5, 3)?
Answer:
m = 6/15
Step-by-step explanation:
Answer:
(-0.4,1)
Have a beautiful day, and stay safe.
Write the equation of the line that in slope-intercept form with the given point and slope or two points. (-4. 6); slope = -3/4
Answer:
y = -3/4x + 3
Step-by-step explanation:
6 = -3/4(-4) + b
3 = b
What would be the measure of segment FH?
Jamal's lawn is shaped like a square with an area of 224.9 ft? Which measurement is closest to the side length of his
lawn in feet?
A.15 ft
B.56 ft
C.28 ft
D.11 ft
Answer:
A. 15 ft
Step-by-step explanation:
I took the test.
By applying formula of area of square we got length of side of Jamal's square shaped lawn is 15 ft.
What is square?A quadrilateral whose all four sides are equal and all four equal angles are equal to 90°is called square .
Given that area of square shaped lawn is224.9 square feet.
We know that area of square is equal to [tex]a^2[/tex] where a is length of side of square .
We can calculate length side of lawn as
Area = [tex]a^2[/tex]
224.9 = [tex]a^2[/tex]
[tex]a= \pm \sqrt{224.9}\\\\\Rightarrow a=\pm 14.9966[/tex]
We know that length of side of square can't be negative so
[tex]a=14.9966\\\\a\approx 15 ft[/tex]
By applying formula of area of square we got length of side of Jamal's square shaped lawn is 15 ft.
To know more about square visit :https://brainly.com/question/25092270
plz help
Simplify:
- 1.2+15.45
Answer:
- 1.2+15.45=14.43
Step-by-step explanation:
(6th grade math)
yasiara has 3/4 of cake. she wants to divide it up into 1/12 size pieces. how many pieces will she have? ( can you show work please)
I bet I will mark you as a brainiest if u get this right
To make porridge, Goldilocks mixes together 3 bags of oats with 1 bag containing 20% wheat bran and 80% oats. All the bags have the same volume. What percentage of the volume of Goldilocks' porridge mixture is wheat bran?
5%
6%
20%
26%
60%
15%
8%
Answer:
6%
Step-by-step explanation:
This is an honest guess just because you are not given the content of 2 out of the 3 bags. When starting at 100 percent of the makeup of the porridge you can then divide that by 3 to get the content of 1 bag. You will get around 33 then you find what 20% of 33 is which is closest to either 6 percent.
Find the equation of the line that is perpendicular to the given line and passes through the given point.
y = −1/2x − 3; (14, 0)
The equation is y = ?
Answer:
[tex]y=2x-28[/tex]
Step-by-step explanation:
Slope intercept form:
[tex]y=mx+b[/tex]
where:
m is the slope (change in the y values over the change in the x values)b is the y-intercept (where x is 0)x and y are corresponding coordinate points (x,y)When two lines are perpendicular, their slopes will be opposite reciprocals.
examples:
[tex]\frac{1}{3}[/tex] → flip the fraction and change the sign → [tex]-3[/tex]
-5 or [tex]-\frac{5}{1}[/tex]→ flip the fraction and change the sign → [tex]\frac{1}{5}[/tex]
[tex]\frac{5}{7}[/tex] →flip the fraction and change the sign →[tex]-\frac{7}{5}[/tex]
So find the opposite reciprocal of the given slope:
[tex]y=(slope)x+(y-intercept)\\\\y=-\frac{1}{2} x-3\\\\slope=-\frac{1}{2}[/tex]
Flip the fraction and change the sign:
[tex]-\frac{1}{2}[/tex] → [tex]\frac{2}{1}[/tex] or [tex]2[/tex]
Now insert the new slope and the given points into point-slope form:
[tex]y-y_{1}=m(x-x_{1})\\\\(14_{x_{1}},0_{y_{1}})\\\\y-0=2(x-14)[/tex]
Solve the equation for y. Use the distributive property:
[tex]y-0=2(x)+2(-14)\\\\y-0=2x-28[/tex]
Simplify:
[tex]y=2x-28[/tex]
:Done
50 = 2x + 12
Solve step by step.
Answer:
x=19
Step-by-step explanation:
subtract 12 from each side: 50-12=2x+12-12
38=2x
divide by 2
38/2=2x/2
19=x
Answer:
x=19
Step-by-step explanation:
50=2x+12
50-12=2x+12-12
38=2x
38/2=2x/2
x=19
Solve 14+3n=5n−6 . Check your solution.
n= __
Answer:
N = 10
Step-by-step explanation:
Subtract 3n from both sides
14 = 2n - 6
add 6 to both sides
20 = 2n
divide by 2
n = 10
Answer:
n = 10
I hope this helps!
It cost $510 to get your car fixed. If it was $375 for parts, how much did the mechanic charge for the work to fix your car?
The value of a stock increases 1423 points twice in one week. The other three days the value decreases by 10 points, 813 points, and 1223 points. By how many points did the value of the stock change that week? A. 2/3 points B. 1/3 points C. −1 1/3 points D. −1 2/3 points
Answer:
Step-by-step explanation:
Remark
Usually the statements are written from your broker's and his accountant's point of view. That being said, he looks at the numbers as a debit for a plus, and a credit as a minus. We'll assume it started out as a new purchase.
Debit Credit Balance
0 0
1423 1423
1423 2846
10 2836
813 2023
1223 800
None of the answers match. I have done it correctly. There is no way you will get a fractional amount from those numbers. You are going to have to take it to your teacher/instructor to find out how it is done.
The base of a skyscraper is a triangle bordered by three streets: Main Street, Elm Street, and Maple Street. The Elm Street side is 2 ft shorter than twice the Maple Street side. The Maple Street side is 12 ft shorter than half the Main Street side. The Main Street side is 210 ft.
Answer:
Step-by-step explanation:
1. 93
2.184
Find the angle measure.
The measure of angle XYZ is
Answer:
∠XYZ = 102Step-by-step explanation:
1st step is to solve x from ΔWXY
∠W + ∠X + ∠Y = 180
where ∠W = 5x + 2
∠X = 7x + 4
∠Y = 180 - (15x - 18)
= 198 - 15x
now plugin values into the equation:
5x + 2 + 7x + 4 + 198 - 15x = 180
combine similar terms:
5x + 7x - 15x = 180 - 2 - 4 - 198
simplify:
-3x = -24
x = -24 / -3
x = 8
2nd step is to substitute x = 8 into ∠XYZ
∠XYZ = 15x - 18
∠XYZ = 15(8) - 18
∠XYZ = 102
Is this a valid argument ?Given:if an object is in the dhape of a sphere ,then it rolls. This ball is in the shape of a sphere . Conclusion:this ball rolls
Answer:
The answer is "yes, it uses the Law of Detachment as an argument".
Step-by-step explanation:
It is also the method of getting it all in the world in which we give up. It will not imply whether they give up our desire. They may not leave the desire so, we do never give up.
In this, it is committed to the outcome as long as it mixes separate purpose with such a separate result, we shall get whatever we want.In this law, If an element is true, and its hypothesis is true, Symbolically, if p, as well as p and q both, are true.If a watch costs $40 and you must pay 6.5% sales tax, how much will the tax be?
Answer:
$42.60
Step-by-step explanation:
change 6.5% to. 065 and multiply it by 40. $2.60 is your sales tax. then add 2.60 to $40 which equals $42.60
PLZ HELP
12 yd = ___ ft
Answer:
12yd = 36ft
Why: For every 1 yard you have 3 feet
2 yards=6 3=9 and so on
Step-by-step explanation:
12 yards = 36 feet
if this answer is correct:
give a like and rate me 5
the distance traveled by an object divided by the time in which the distance was traveled is called the__of an object
Answer:
speed (v)
Step-by-step explanation:
v = d/t
v = speed
d = distance travelled
t = time taken
Noah bought x apples, and Elena bought 1/4 more
apples. Write an expression for the number of apples
Elena bought.
Answer:
y = 0.75x
Step-by-step explanation:
Im not sure lmk
1. 7.35 x 10 6 – 9.42 x 10 8
2. 3.14 x 10 -3+1.59 x 10 -1
3. (2 .8x 10 -9 )(4.75 x 10 -3 )
Answer:
1) -9.3465 × 10^8
2) 1.6214 × 10^-1
3) 1.33 × 10^-11
Explanation:
When solving arithmetic operations of numbers in scientific notation, there is a strategy that can be used.
First recognize the quotient(division) between the size of the numbers indicated by a multiple of 10 to a certain power. Remember, taking the quotients of like numbers with different powers is the subtraction of powers.
For example, to solve the first expression (problem one):
7.35 x 10^6 – 9.42 x 10^8
Divide 10^8 by 10^6 to get 10^2
So
it is like subtracting 7.35 and 9.42 × 10^2 which is 7.35 - 942, then once this expression is solved, multiply by the lowest multiple of 10 which is 10^6.
7.35 - 942 = -934.65 → -934.65 × 10^6 = (-9.3465 × 10^2) × 10^6 = -9.3465 × 10^8.
Long subtraction may need to be used when dealing with numbers that are far apart. Likewise long addition multiplication or division is used for very big or small numbers.
Anyway for the second expression (problem 2)
Addition in my opinion is much easier because it is really just adding on the bigger number. Subtraction may take a little longer but both processes are all based on the bigger number or the number with the greatest power of the multiple 10.
So 3.14 × 10^-3 + 1.59 × 10^-1
The quotient between 10^-1 and 10^-3 is the the difference between -3 and -1 which is 10^2
So again it is like adding 3.14 and 1.59 × 10^2 which is 3.14 + 159 = 162.14 = 1.6214 × 10^2. Now use the multiple of 10 with the largest contrast which is 10^-3 so 1.6214 × 10^2 × 10^-3 = 1.6214 × 10^(2-3) = 1.6214 × 10^-1.
Avi uses a 3.5-m
ladder to climb up
to his tree house.
The foot of the
ladder is 0.8 m
from the tree. How
far
up
the tree does
the ladder reach?
Really stupid question, but how do you add a comment lol. There’s no enter button or anything (I’m on an iPad) if that helps.
Answer:
You just do
Step-by-step explanation:
Answer:
just click the thing that says "Ask blah blah about this question..."
Step-by-step explanation:
Hurry, I need help and please explain
Answer:
Question 18
=$3.33
Step-by-step explanation:
i)
26/100 x 4.5
=1.17
(the discount price)
ii)
$4.5-$1.17
=$3.33
Answer:
QUESTION 18
The original price is $4.50
The discount is 26%
They are asking for the sale price which the price after the discount.
So,
The original price means 100% of the cost, like there is no discount at all.
But then we have to apply a 26% discount which means to subtract 26% (the discount) from 100% (the original price)
The new price of the item has to be 74% of the original price.
74% of $4.50 is the same as saying 26% discount.
But what is the number?
To calculate 74% of $4.50, turn 74% into a decimal which is 0.74, then multiply it by 4.50.
0.74 x 4.50 = 3.33
In conclusion, after a 26% discount on an item that is originally $4.50, the new price (sale price) of the item is now $3.33