Answer:
D = 0.5 + 20x + 0.5v
Step-by-step explanation:
Initial distance covered d1 = 0.5km
If she rode a bicycle for x hours at an average speed of 20 kilometers per hour, then her distance during thus period is,;
Speed = Distance/Time
Distance d2 = speed × time
d2 = 20x
If she ran for 0.5 hour at an average speed of v kilometers per hour, her distance this time will be;
Distance d3 = 0.5v
If her total distance is D, then;
D = d1+d2+d3
D = 0.5 + 20x + 0.5v
Hence an equation that relates D, x, and v is D = 0.5 + 20x + 0.5v
A grocery store purchases cantaloupes from two warehouses, A and B. The
distribution of the diameters from Warehouse A is approximately normal with a
mean of 120 mm and standard deviation of 6 mm.
(a) For a cantaloupe selected at random from Warehouse A, what is the
probability that the cantaloupe will have a diameter greater than 127 mm?
A randomly selected cantaloupe from Warehouse B has the probability of 0.763
that it will have a diameter greater than 127 mm. The grocery store purchases
40% of their cantaloupes from Warehouse B.
(b) For a cantaloupe selected at random from the grocery store, what is the
probability that the cantaloupe will have a diameter greater than 127 mm?
(c) If the randomly selected cantaloupe's diameter is greater than 127 mm, what
is the probability the cantaloupe came from Warehouse B?
A: The probability of cantaloupe having dia. more than 127 is 0.12167.
B: Cantaloupe selected at random from the warehouse, then the probability that has a diameter of more than 127 mm is 0.3782.
C: The probability that the cantaloupe will be from warehouse B given randomly selected cantaloupe's diameter is greater than 127 mm, is 0.8069.
What is probability?The probability formula is defined as the possibility of an event happening being equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability is a measure of the likelihood of an event occurring. Also, the favorable number of outcomes cannot be negative.
Given two warehouses, A and B
mean for warehouse A = μ = 120 mm
The standard deviation for warehouse A = σ = 6mm
A: a cantaloupe selected at random from Warehouse A
to find the probability of cantaloupe having a diameter greater than 127 mm = P(x > 127)
P(x > 127) = 1 - P(x ≤ 127)
P(x ≤ 127) = P((x - μ)/σ)
P(x ≤ 127) = P((127 - 120)/6)
P(x ≤ 127) = P(z ≤ 1.66)
P(x ≤ 127) = 0.87833
P(x > 127) = 1 - P(x ≤ 127)
P(x > 127) = 1 - P(x < 127) = 0.12167
probability of cantaloupe having dia. more than 127 is 0.12167.
B: Let event A for distributor A and let event B for distributor B
and event C for a diameter greater than 127 mm.
and given A randomly selected cantaloupe from Warehouse B has a probability of 0.763 that it will have a diameter greater than 127 mm,
and the percentage of cantaloupe provided by B is 40%
rest 60% for A,
therefore, for cantaloupe selected at random, the probability of having a diameter greater than 127 mm is
P(C) = P(C|A)P(A) + P(C|B)P(B)
= 0.12167(0.6) + 0.763(0.4)
= 0.073 + 0.3052
P(C) = 0.3782
cantaloupe selected at random from the warehouse, then the probability that has a diameter of more than 127 mm is 0.3782.
C: the probability the cantaloupe came from Warehouse B, given that the randomly selected cantaloupe's diameter is greater than 127 mm,
P(B|C) = P(B ∩ C)/P(C)
P(B|C) = (P(C|B)P(B))/P(C)
substitute values
P(B|C) = ((0.763)(0.4))/0.3782
P(B|C) = 0.3052/0.3782
P(B|C) = 0.8069
The probability that the cantaloupe will be from warehouse B given randomly selected cantaloupe's diameter is greater than 127 mm, is 0.8069.
Hence the probabilities are,
A; 0.12167
B; 0.3782
C; 0.8069.
Learn more about probability;
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Will give Brainlist .Question is in the picture.Only answer if you know the correct answer.
help me please!! i’ll make you a brainliest:))
Answer:
y= -5
Step-by-step explanation:
Write the exponent for the expression. 1.6 exponet 2
Answer:
The exponent is 2. As a expression it is 1.6^2
Step-by-step explanation:
I don't really have an explanation its just common sense.
1. Julie earns $15.73 per hour and she worked 37 hours last week. How much did she earn? Don't forget to put in
a comma where needed.
$611.08
$582.01
$552.00
$557.02
Answer:
the answer would be $582.01 ;)
Step-by-step explanation:
Jenny is a member of a summer swim team.
a. Using the graph, determine how many calories she burns in one minute.
Answer:
4 calories
Step-by-step explanation:
5 minutes equals 20 calories. 20 divide by 5 is 4. 1 minute equals 4 calories.
Answer:
6 2/3
Step-by-step explanation:
Simplify -78 ÷ (-9)
(Write answer as a mixed number: whole and fraction remaining.)
Answer:
8 2/3
Y-E-E-T
Step-by-step explanation:
-78 divded by (-9)
-78
-----
-9
there are negatives on both sides. I don't know how to explain that but you can change it to a PLUS.
78/9
divide 3 on both sides
78/3 =26
9/3=3
26/3 now.
so the mixed number would be 8 2/3
The original price of a car was reduced by $3000. Its
discounted price is now $16,000.
Answer:
if $3000 was reduced from X which is now $16,000 x or the original price is $19,000
Step-by-step explanation:
$19,000- $3,000=$16,000
Which expression is equivalent to 32 + 16? (1 point) a 8(4 + 2) b 8(24 + 8) c 7(4 + 2) d 7(24 + 8)
pls help
Answer:
Option a 8(4+2)
Step-by-step explanation:
32+16
=8*4+8*2
=8(4+2)
Answer:
8(4+2) ur welcome
PLEASE HURRYYY Which number line represents the solution set for the inequality -1/2x>4?
-10
8 6
-2
4
0
2
+
6
4
+
8
10
-10
8
6
4
-2
+
6
0
2
4
+
8
+
10
-10
8
6
4
12
0
2.
4
6
100
10
-10 1-8
6 4
-2
0
10
4
6
100
10
A builder requires 35 buckets of mortar to build a wall.
Mortar is made by mixing cement and sand in the ratio 1:4
How many buckets of cement and sand does he need?
Answer:
He needs 7 buckets of cement, and 28 buckets of sane.
Step-by-step explanation:
cement : sand
1:4 = 5
35/5 = 7
7*1=7 . Cement
7*4=28 . Sand
makayla is reading a 400 page book for her book club.she reads 32 pages each hour
Answer:
12.5 hours
Step-by-step explanation:
[tex]\frac{400}{32}[/tex] = 12.5
Answer:
12 hours and 30 minutes
Step-by-step explanation:
400/32 = 12.5
A circular garden has a radius of 8 feet. What is the arc length intercepted by a central angle of 150°?
Plz Help
Answer:
The arc length is 20.95 feet
Step-by-step explanation:
We calculate this using;
length of arc = theta/360 * 2 * pi * r
where theta is the central angle
So we have
length = 150/360 * 2 * 22/7 * 8
length = 20.95 feet
Please help me Find X:
Answer:
x=50
Step-by-step explanation:
since all the angles of a triangle when added equal 180 we are going to have an equation like this:
180=102+28+x
180=130+x
so to find the value of x we have to subtract the final number by the value already given to us so something like:
180-130
which equals 50
Determine the value of x in the figure.
A)
x = 141
B)
x = 94
C)
x = 137
D)
x = 43
Answer:
what figure?!
Step-by-step explanation:
im not sure scence i dont know what figure but if u were u i would do l × w
Answer:
137
Step-by-step explanation:
Find the slope of the graph. Write it as a fraction or whole number (not a mixed number) 
Answer:
slope =-4 or -4/1
Step-by-step explanation:
the graph shows 4 down and 1 over
Find the x-intercept for the following equation.
4x + 9y=27
I
Answer: (6.75,0)
Step-by-step explanation:
The x-intercept of a line is when it's y coordinate is 0, so input 0 into the equation for y and solve for x.
4x + 9(0) = 27
4x = 27
x= 6.75
the length of a rectangle is 5 more than twice the width. if the perimeter of the rectangle is 76 meters, find the dimensions of the rectangle and choose the equation that represents the perimeter:
1. 76=2w+5
2. 76=2w+2(2w+5)
3. 76=w+2w+5
4. 76=2w+(2w+5)
Answer:
Dimensions: 11 meters by 27 meters
2. [tex]76=2w+2(2w+5)[/tex]
Step-by-step explanation:
Finding Dimensions:
The perimeter of a rectangle can be written as [tex]2l+2w[/tex] where [tex]l[/tex] is the length and [tex]w[/tex] is the width. It is given that the length is 5 more than twice the length of width and the perimeter of the rectangle is 76 meters.
With this information we can write:
Length = [tex]2w+5[/tex]
[tex]2(2w+5)+2w = 76[/tex] (perimeter of the rectangle)
[tex]4w+10+2w=76[/tex]
[tex]6w=66[/tex]
[tex]w=11[/tex]
Length = [tex]2(11)+5[/tex]
Length = [tex]27[/tex]
∴ The dimensions of the rectangle is 11 meters by 27 meters.
Perimeter
Since the length can be written as [tex]2w+5[/tex], the equation that represents the perimeter of the rectangle is [tex]76=2w+2(2w+5)[/tex]
Simplify the expression:
2/3y+5-3-11/12y
Thanks!
Answer:
-1/4y+2
Step-by-step explanation:
5-3=2
2/3-11/12=-1/4
HELPPP PLSSSS
What is the measure of angle U ??????
Answer:
m<U = 120 degrees
Step-by-step explanation:
9x - 6 = 7x + 22
2x = 28
x = 14
m<U = 9(14) -6
m<U = 126 - 6
m<U = 120 degrees
Hope this helps!!!
Answer:
120
Step-by-step explanation:
U = W
(9x-6) = (7x+22)
SOLVE
subtract 7x from each side.
2x-6 = 22
add 6
2x = 28
divide by 2
x = 14
plug 14 into x and solve.
9(14)-6 = 120
7(14)+22 = 120
both angles are the same
hope that helped
An electric technician is paid $9.60 per hour. Based on 40 hours per week, what is this technicians annual salary?
Answer: $19968
Step-by-step explanation: Assuming the electric technician works 52 weeks a year with an average of of $40 of paid work, the electrician would make about $19,968 or close to $20,000 a year.
Tommy had 13 hits in 40 at bats for his baseball team. What is his batting average? (Batting average is the number of hits divided by the number of at bats, expressed as a decimal.)
Answer:
0.325 hits per bat
Step-by-step explanation:
13/40=0.325
1/40=1/4•1/10=0.25•0.1=0.02513/40=1/40•13=0.025•13=0.325What’s the anwser to this problem
Answer:
B
Step-by-step explanation:
Take his original balance (-142) and add the deposit (500) to get $358.
Hope this helps!
Answer:
B. $358
Step-by-step explanation:
the way you would get this would be to add -142+500
3. The point D(3, -2) is
rotated 90° cw about
the origin. What is the
coordinate point
for D'?
Answer:
D' = ( -3, -2)
Step-by-step explanation:
Rate me branliest please :)
please help me solve one of the ones with a red arrow ! i'm not sure how to do it so if you could show me how you did it it'll help ! ill give brainliest, thanks and points
Answer:
1.)13x = +9
2.)9x = -5
so first you take 1^2 power and it would be 1 so then u add the 1x on to the 12x or 8x from whatever equation ur working on and u would get 13 x or 9x from there u need to get the x isolated from the number without an x so if ur doing number 1 you would do +9 on both sides which would clear the -9 on the left side and add 9 on the right making it 13x = 9
Round to the nearest thousandth:9.4048
Answer:
9.405
Step-by-step explanation:
The tree in Maya's backyard is 6 meters high. How high is it in centimeters?
Be sure to include the correct unit in your answer.
Answer:
Step-by-step explanation:
600cm
-7x – 3x + 2 = –10x + 9
Answer:
No solution
Step-by-step explanation:
Combine terms
Add x
Add 2
Divide
Determine whether the function is linear (0,1) (-2,-1) (-4,1)
Answer:
No, this is not a linear function
Step-by-step explanation:
If you graph each point, you will notice that none of the three points line up together in one line with a consitstant slope.
Please help! Only if you know!
Answer:
Acute Scalene
Step-by-step explanation: