Answer:
a. 0.2061*2000 apples = 412.20 or about 412 apples.
b. 0.2389*2000 apples = 477.8 or about 478 apples.
Step-by-step explanation:
We have to find the corresponding probabilities using the standard normal table (or also we can use statistics software for doing this).
The parameters for this normal distribution are (without using units):
The mean, [tex] \\ \mu = 8.2[/tex].
The standard deviation, [tex] \\ \sigma=2.8[/tex]
We need to use z-scores, given by:
[tex] \\ z = \frac{x-\mu}{\sigma}[/tex]
For a diameter smaller than 5.9cm, we have:
[tex] \\ z = \frac{5.9-8.2}{2.8}[/tex]
The value for z:
[tex] \\ z = -0.82142 \approx -0.82[/tex]
Then, find the cumulative probability for this z, P(z<-0.82), using the standard normal table (for this, use -0.8 (in right column), and -0.02 in the first row of the table).
Then, P(z<-0.82) = 0.2061
How many apples would have a diameter: a) smaller than 5.9cm?
The answer is 0.2061*2000 apples = 412.20 or about 412 apples.
How many apples would have a diameter: b) larger than 10.2cm?
We can proceed similarly as before. Calculate z, find the cumulative probability using the standard normal table.
[tex] \\ z = \frac{10.2-8.2}{2.8}[/tex]
[tex] \\ z = 0.71428 \approx 0.71[/tex]
Then, P(z<0.71) = 0.7611
But we are asked for P(z>0.71), then (because of the symmetry of the normal distribution):
P(z>0.71) = 1 - P(z<0.71)
P(z>0.71) = 1 - 0.7611
P(z>0.71) = 0.2389
The answer is 0.2389*2000 apples = 477.8 or about 478 apples.
10 Points! Help is aprreciated!! :)
Answer:
A
Step-by-step explanation:
Since the the value is greater than 1, f(x),g(x), and h(x) are exponential functions.
The volume of a soup can with height of 6 cm and diameter of 4.4 cm = ____________ cm3. Use 3.14 for pi.
Answer:
about 91.2 cm³
Step-by-step explanation:
Radius (r) = diameter / 2 = 4.4 / 2 = 2.2
Volume of cylinder = πr²h, we know π = 3.14, r = 2.2 and h = 6
V = 3.14 * 2.2² * 6 = 91.2
Answer:
91.2
Step-by-step explanation:
To find the volume you need to use the formula [tex]\pi r^2h[/tex]
When you substitute all of the numbers the answer will be 91.1856
Emily has driven 600 miles so far on her way to the beach. If her total trip will be 850 miles‚ about what percentage of the drive does she have left to complete? a) 15% b) 29% c) 40% d) 73%
Answer:
B) 29%
Step-by-step explanation:
First, we subtract 600 from 850 to get the distance she has left. 850 - 600 = 250. Next, we take 250 and divide it by 850 to get the decimal which is 0.294117647. We can round this answer to 0.29 and convert this answer to a percentage which is 29%.
Answer:
B. 29%
Step-by-step explanation:
Percentages can be found by dividing the part by the whole, then multiplying by 100.
(part/whole) * 100
We have to find the percentage of the drive she has left.
Therefore, the part is the miles she has left and the whole is the total trip.
(miles left/total trip) * 100
First, we need to find how many miles she has left. We must subtract the miles she has driven from the total trip.
total - miles driven
She has 850 total miles and has driven 600 miles.
850-600
250
She has 250 miles left.
Now we know the miles she has left.
(miles left/total trip) * 100
miles left = 250
total trip= 850
(250/850) * 100
Solve inside the parentheses first. Divide 250 by 800.
(0.29411765)*100
Multiply
29.411765
Round to the nearest whole number. The 4 in the tenth place tells us to leave the whole number as is.
29
Therefore, she has about 29% of her trip left.
A principal of $4900 is invested at 4.75% interest, compounded annually. How much will the investment be worth after 7 years?
Use the calculator provided and round your answer to the nearest dollar.
Answer:
The investment will be worth $8,674 after 7 years.
brainliest?
What is the slope of the line that passes through the points (–20, 18) and (30, 14)?
Explanation:
Use the slope formula. We subtract the y values together, and do the same for the x values as well. Subtract in the same order each time. Then you divide the two results. Reduce the fraction if possible.
m = (y2 - y1)/(x2 - x1)
m = (14 - 18)/(30 - (-20))
m = (14 - 18)/(30 + 20)
m = -4/50
m = -2/25
Answer:
[tex]-\frac{2}{25}[/tex]
Step-by-step explanation:
Slope is rise over run.
[tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (–20, 18) and (30, 14).
[tex]m=\frac{14-18}{30+20}=\frac{-4}{50}=-\frac{4}{50}=-\frac{4/2}{5/2}=\boxed{-\frac{2}{25}}[/tex]
The slope is -2/25.
Brainilest Appreciated.
The temperature at noon is -4 degrees Celsius. The temperature at 6:00 is -12 degrees Celsius. What is the difference between the noon and the 6:00 pm temperatures?
Answer:
-8 degrees
Step-by-step explanation:
12-4 is 8 so the difference is -8
A line passes through the point (2,-5) and is perpendicular to the line with the
equation y= 1/5x+ 5. What's the equation of the line?
OA) y = -1/5X + 1
B) y = -5x + 5
OC) y = 5x - 2
D) y=1/5x+4
slope = -5, y intercept = 5
===========================================
Explanation:
The given equation has slope 1/5. We can see that by comparing it to y = mx+b, with m as the slope.
Flip the fraction and the sign to go from 1/5 to -5/1 = -5. The perpendicular slope is -5. We can stop here since only choice B has such a slope.
---------------
If you're curious about finding the y intercept, then you would use m = -5 along with (x,y) = (2,-5) to find the value of b
y = mx+b
-5 = -5(2)+b
-5 = -10+b
-5+10 = -10+b+10 ... adding 10 to both sides
5 = b
b = 5 is the y intercept
So we have y = mx+b update to y = -5x+5 as the perpendicular line.
Answer:
[tex]y = - 5x + 5[/tex]
Step-by-step explanation:
[tex]y = \frac{1}{5} x + 5 \\ m = \frac{1}{5} \\ m1 = \frac{ - 1}{m2} [/tex]
.
[tex] \frac{1}{5} = \frac{ - 1}{m2 } \\ m2 = - 5 \\ x = 2 \: y = - 5 \\[/tex]
[tex] y = mx + c \\ - 5 = - 5(2) + c \\ - 5 = - 10 + c \\ - 5 + 10 = c[/tex]
[tex]c = 5 \\ m = - 5 \\ y = mx + c \\ y = - 5x + 5[/tex]
The table represents the multiplication of two binomials. A geometric model with 2 columns and 2 rows. The first column is labeled negative 2 x with entries A, C. The second column is labeled 3 with entries B, D. The first row is labeled 4 x with entries A, B. The second row is labeled 1 with entries C, D. Which letters from the table represent like terms? A and B B and C A and D B and D
Answer:
B and C
Step-by-step explanation:
Like terms are terms with the same constellation of variables. The like terms in this product are (12x) and (-2x). The cells containing those are designated B and C.
Answer:
B and C
Step-by-step explanation:
Multiply and simplify
(x +1)3 x (x+1)4
Answer:
12x^2+24x+12
Step-by-step explanation:
(3x+3) * (4x+4)
12x^2+24x+12
Answer:
( x+1)^7
Step-by-step explanation:
(x +1)^3 * (x+1)^4
Replace x+1 with m
m^3 * m^4
The bases are the same so we can add the exponents
m^ (3+4)
m^7
Replace m with x+1
( x+1)^7
Which statement could be an interpretation of the graph’s x-intercept or y-intercept?
On a coordinate plane, a line goes through points (0, 4) and (8, 0).
Tabitha took 6 hours to drive to her friend’s house.
Matthew used 12 gallons of gas in all.
Rosa will pay off her loan in the eighth month.
Eight members of Hoi's family were each charged $4 to go to a movie.
Answer:
1. Consider the x-axis to represent months to pay off the loan, and the y-axis to represent $ owed.
2. the ordered pair (8,0) would show that at 8 months there is no more money owed.
Step-by-step explanation:
Hurry please I really need this .
Answer:
{2,3,4,5}
Step-by-step explanation:
The given set is in set-builders notation form.
IT says that x such that x belongs to integers and it is greater than or equal to 2 and less than on equal to 5.
So, The set will be written as:
=> {2,3,4,5}
Answer:
(2, 3, 4, 5)
Step-by-step explanation:
If you substitute x with all of the numbers you should get (2, 3, 4, 5)
Sam's total expenses last month were $1840. What was his total variable cost for last
month?
Expense
Amount
Rent
$100
Groceries and drinks
$1000
$10
Insurance premiums
Loan interest payment
Clothes
$30
$200
&
Utilities
$300
Home security fee
$200
Answer:
$1500
Step-by-step explanation:
It is given that
Rent = $100
Groceries and drinks = $1000
Insurance premiums = $10
Loan interest payment =$30
Clothes = $200
Utilities = $300
Home security fee = $200
Fixed cost are costs that does not vary and variable cost are costs that vary with goods and services.
In the given problem, rent , insurance premiums, loans interest payment ad home security fee are fixed cost.
Groceries and drinks, clothes and utilities are variable cost.
So, total variable cost for last month is
[tex]\text{Total variable cost}=\$1000+\$200+\$300=\$1500[/tex]
Therefore, total variable cost for last month is $1500.
Answer:
$1500
Step-by-step explanation:
I just took the test and got it right
A chess player moves a knight from the location (3, 2) to (5, 1) on a chessboard. If the bottom-left square is labeled (1, 1), the translation made is (options, 2 squares up and 1 square right, 1 square down and 2 squares left, 1 square down and 2 squares right or 2 squares down and 1 square right) If the player moves the knight from (5, 1) to (6, 3), the translation made is (options, 1 square up and 1 square right. 2 squares up and 1 square right, 4 squares up and 2 squares right or 2 squares up and 1 square left)
Answer:
1. one square down two squares right
2. two squares up one square right
Answer:
one square down two squares right
Step-by-step explanation:
.
help meee plz plz me now
Answer:
if they are proportional he will give away 20
Answer:
20 should expect to get lizard treats
Step-by-step explanation:
There are 4+10+6 treats = 20 treats
10 out of the 20 are lizard treats
10/20 = 1/2
There are 40 people
1/2 * 40 = 20
20 should expect to get lizard treats
PLEASE HELP URGENTLY
Answer:
0.8/1 = 0.8
hope this helps you
A man has 3 different suits, 4 different shirts and 5 different pairs of shoes. In how many different ways can this man wear a suit, a shirt and a pair of shoes? 35 12 60 17
Answer:
60 ways
Step-by-step explanation:
Multiply the number of suits, shirts and shoes to find the number of ways
3 * 4 * 5
60 ways
Answer:
60
Step-by-step explanation:
(4 x 3) 5
NEED ANWSER ASAP! WILL GIVE BRAINLIEST! An ant needs to travel along a 20cm × 20cm cube to get from point A to point B. What is the shortest path he can take, and how long will it be (in cm)?
Answer:
any way since the sides are the same leangth
Step-by-step explanation:
The ratio of the measures of the angles of a triangle is 3:2:1. Given that the shortest side of the triangle is 12 meters long, what is the number of meters in the longest side of the triangle?
Answer:
36 i think
Step-by-step explanation:
Answer:
14?
Step-by-step explanation:
Determine if the two triangles shown are similar. If so, write the similarity statement. options: A) ΔUVW ∼ ΔFGH B) The triangles are not similar. C) ΔWUV ∼ ΔFGH D) Impossible to determine.
Answer:
B (from down below) They are similar but your q does not match up with the picture
Step-by-step explanation:
to determine if two triangles are similar you have to make sure the ratios are the same. So 10 / 8 = 1.25, so all sides should have this ratio. 15 / 12 is also 1.25 so you know to sides are similar and also the triangles ARE SIMILAR. So The statement would be KMN is similar to KLP.
Practice: Assignment, Help is appreciated! I will mark brainliest for correct answers! :)
Answer:
19:36.83 or 37 20:4.5
Step-by-step explanation:
Answer:
For #19, it would probably be around 37
For #20, it would be 4.5.
Step-by-step explanation:
For #19, the mean is 36.83333.... so a reasonable prediction would be about 37 ˚C.
For #20, the list would be in this order:
3.2, 3.9, 4.5, 4.6, 5.5, 6.5, 8.7, 9.1
So, the 3rd value is 4.5.
Brett is making chocolate bars. He wants to make 35 bars from Monday to Friday. One cocoa pod makes ⅚ of bar. If he harvests the same number of cocoa pods each day, how many cocoa pods should he harvest each day to reach his goal of making 35 bars total from Monday to Friday?
Answer:
9
Step-by-step explanation:
one cocoa pod makes 5/6 bar
to make 35 bars, he needs
35 / (5/6) = 35 * 6/5 = 42 pods
Monday - Friday is 5 days
42/5 = 8.4
He needs more than 8 pods per day, so he must harvest 9 pods per day.
Answer:
8.4
Step-by-step explanation:
Which of the following best describes the relationship between (x-3) and the
polynomial x3 + 4x2 + 2?
Answer:
c. (x-3) is not a factor.
Step-by-step explanation:
ASAP!! can someone help solve any of these? whoever answers the most gets brainliest, i underlined the questions
Answer:
can u please type out the photo is too dark to see the questions
Step-by-step explanation:
Find the area of the following shape.
Answer:8
Step-by-step explanation:
Answer:
How do you figure 8?
A=1/2(L*W) triangle but what is the work?
In 2005 , 12.1 out of every 50 employees at a company were woman if there are 49,239 total company employees estimate the number of women
Answer:
11915.8 when rounded up to the nearest tenth
Step-by-step explanation:
When you dived 12.1 by 50 to get the percent of people that fit this category, you get .242 or 24.2% you can use this number to figure out the precentage of employees who are woman by multiplying this number into 49,239 people to figure out what precent of people are woman
Hope this helps :D
Answer:
11915.8 when rounded up to the nearest tenth
Step-by-step explanation:
helpppp me plz i need help i need help
Answer: [tex]\frac{1}{8}[/tex]
Step-by-step explanation:
- A coin has 2 sides. Which means the probability of the coin landing on one side will be [tex]\frac{1}{2}[/tex].
- Since there are three coins, we multiply [tex]\frac{1}{2}[/tex] three times ( [tex]\frac{1}{2}[/tex]* [tex]\frac{1}{2}[/tex]* [tex]\frac{1}{2}[/tex]) to get the answer of [tex]\frac{1}{8}[/tex]
What is the area of this figure?
13 mi
5 mi
8 mi
6 mi
3 mi
7 mi
square miles
Answer:
86 square miles
Step-by-step explanation:
To answer this question you have to separate the shape into smaller ones. In this case, you can separate the shape into one larger rectangle on top and one smaller rectangle on bottom.
Area of large rectangle on top:
13 miles x 5 miles = 65 square miles
Area of smaller rectangle on bottom:
3 miles x 7 miles = 21 square miles
65 + 21 = 86 square miles
Answer:
The answer is 86 square miles
Step-by-step explanation:
First of all you can seperate this shape into shapes that you already know how to solve. Then the rest is easy...You can see how I solved it in more detail by looking at the image below. I hoped it was helpful!
Select the decimal that is greater than 1/3 and smaller than 1/2. A 0.299 B 0.300 c. 0.415 d 0.501
Answer:
C, 0.415
Step-by-step explanation:
Convert the fractions to decimals:
1/3 = 0.3333333...
1/2 = 0.5
So the decimal must be greater than 0.3333333... and smaller than 0.5,
from the options,
only 0.415 matches with the requirements.
Answer:
c.415
Step-by-step explanation:
1/3 = 0.333333...
1=2 = 0.5
Therefore the "c option - 0.415" as it is greater than 1/3 and lesser than 1/2
Hope ths helps....
Pls mark my ans as brainliest :)
PLS PLS PLS
I want to rank up....
Dat y pls mark my ans as brainliiest :)
is this right? someone please help i’ll give brainliest :)
Answer:
x>-1
Step-by-step explanation:
Answer:
Your answer is incorrect.
Step-by-step explanation:
The answer that you should have gotten is;
x>-1
Solve the system of equations using substitution. Write your answer as an ordered triple in the form (x, y, z).
X+ y + z = 2
4x + 5y + z = 12
2x = -4
Answer:
(x, y, z) = (-2, 4, 0)
Step-by-step explanation:
Solving the last equation first, we have ...
2x = -4
x = -2 . . . . . divide by 2
__
Putting this in the first equation, we can write an expression for z:
-2 +y +z = 2
z = 4 -y . . . . . . . add 2-y
__
Putting this in the second equation, we have ...
4(-2) +5y +(4 -y) = 12
-4 +4y = 12
-1 + y = 3 . . . . . divide by 4
y = 4 . . . . . . . . add 1
__
Substituting this into the equation for z, we have ...
z = 4 - 4 = 0
The solution is (x, y, z) = (-2, 4, 0).
Answer:
X+y+z=2 equation 1
4x + 5y + z = 12 equation 2
2x = -4 equation 3
Step-by-step explanation:
step 1 :
from equation 3 : 2x = -4
x= -4/2 = -2
step 2:
sub value x = -2 in equation 1
y + z = 4 _______ equation 4
step 3:
sub value of x in equation 3
5y + z = 20 _________ equation 4
solve equation 3 and 4
y + z = 4
5y + z = 20 sign change
__(-)_________
-4y = -16
__________
y = 4
substitute x = -2 & y = 4 in equation 1
z = 0
Hence x = -2 , y = 4 & z = 0