Answer:
The heaviest 5% of fruits weigh more than 747.81 grams.
Step-by-step explanation:
We are given that a particular fruit's weights are normally distributed, with a mean of 733 grams and a standard deviation of 9 grams.
Let X = weights of the fruits
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean weight = 733 grams
[tex]\sigma[/tex] = standard deviation = 9 grams
Now, we have to find that heaviest 5% of fruits weigh more than how many grams, that means;
P(X > x) = 0.05 {where x is the required weight}
P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{x-733}{9}[/tex] ) = 0.05
P(Z > [tex]\frac{x-733}{9}[/tex] ) = 0.05
In the z table the critical value of z that represents the top 5% of the area is given as 1.645, that means;
[tex]\frac{x-733}{9}=1.645[/tex]
[tex]{x-733}}=1.645\times 9[/tex]
[tex]x = 733 + 14.81[/tex]
x = 747.81 grams
Hence, the heaviest 5% of fruits weigh more than 747.81 grams.
How can you create a cone and a cylinder using this tool? Describe the shapes and the specific axes of rotation that produce a cone and a cylinder. If there is more than one polygon that can generate the same cone or cylinder, state each shape in the table.
Answer:
The answer is in the image.
Step-by-step explanation:
Answer:
Cone- 1 isosceles triangle revolved 180° about its height
2 isosceles triangle revolved 180° about its height
cylinder 1 rectangle revolved 180° about either axis of symmetry
2 revolved 360° about any side
Step-by-step explanation: plato edmentum
I don’t know the answer to this question
After using a 15% off coupon, the price of a sheet cake is $30.94. What was the original price?
Answer:
The original price was 36.40
Step-by-step explanation:
p = original price of cake
using the coupon
p - 15% off = 30.94
p - .15 p = 30.94
Combine like terms
.85p = 30.94
divide each side by .85
p = 30.94/.85
p =36.40
The original price was 36.40
Assignment
Section (A) 5 Marks
Q.No. 1. Do as directed;
(1) Which one of the following is square of 4;
a) 2
b) 8
c) 16
d) 64
(II)Unit digit in the square of 3457 is;
a) 3
b) 7
c) 4
d) 9
(III) Cube root of 64 is;
a) 8
b) 4
c) 2
d) 10
(IV) Ratio of 2:4 is;
a) 4:1
b) 1:2
c) 1:3
d) None of these
(V) Discount =
a) Marked Price - Sale Price
B) Sale Price - Marked Price
......
On the graph of the equation 3x+ 2y=18, what is the value of the y-intercept?
A) -9
B) -6
C) 6
D) 9
Answer:
D) 9Step-by-step explanation:
[tex]3x+ 2y=18\\\\Let \:x\:equal\:to\:0\\\\3(0)+2y=18\\\\0+2y=18\\\\2y=18\\\\Divide \:both\:sides\:of\:the\:equation\:by \:2\\\frac{2y}{2} =\frac{18}{2} \\\\y =9\\(0,9)[/tex]
Answer:
y = 9
Step-by-step explanation:
3x + 2y = 18
required:
find the y-intercept
we have to eliminate x to get the y intercept value
3(0) + 2y = 18
2y = 18
y = 18/2
y = 9
so the x & y intercept would be (0, 9)
Which fraction below is NOT equivalent to 1/3 2/6 3/9 4/12 5/13
Answer:
5/13 (irreducible)
Step-by-step explanation:
1/3=2/6=3/9=4/12 are all thirds of the total.
A national survey of 2500 adukt citizens of a nation found that 21 % dreaded Valentine's Day. The margin of error for the survey was 5.4 percentage points with 90% confidence. explain what this means.
which statement below is the best explanation?
a. there is 84.6% to 95.4% confidence that 25% of the adult citizens of the nation dreaded Valentine's Day
b. in 90% of samples of adult citizens of the nation, the proportion that dreaded Valentine's Day is between 0.196 and 0.304.
c. there is 90% confidence that the proportion of the adult citizens of the nation that dreaded Valentine's Day is between 0.196 and 0.304.
d. there is 90% confidence that 25% of the adult citizens of the nation dreaded Valentines Day.
Answer:
The correct option is C
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 2500[/tex]
The sample proportion is [tex]\r p = 0.21[/tex]
The margin of error is [tex]E = 0.054[/tex]
The 90% confidence interval is mathematically represented
[tex]\r p - E < p < \r p + E[/tex]
=> [tex]0.21 - 0.054 < p < 0.21 + 0.054[/tex]
=> [tex]0.156< p < 0.264[/tex]
last month you had an outstanding check of $87.90 that had not yet been cashed, so it did not show up on your statement. This month, you wrote checks totaling $379.42. You made one deposit of $100, and you withdrew $60 from an ATM. If the check from last month was cashed and recorded on your statement, and if the bank paid $0.23 in interest, then by how much did your account balance change this month?
Answer:
Step-by-step explanation:
Deposit made = + $ 100 . 00
withdrawal made = - $ 60 .00
check of last month encashed = - $ 87 . 90
interest paid by bank = + $ 00 . 23
-----------------------------------------------------------------------
Net effect = - $ 47.67
the account balance reduces by amount = $ 47.67
The diagonal of a rectangle is 10 units. The width is 6 units, What is the area of the rectangle in square
units?
Answer:
48 square units
Step-by-step explanation:
Let the length of the rectangle be x units.
By Pythagoras theorem:
[tex]x = \sqrt{ {10}^{2} - {6}^{2} } \\ x = \sqrt{ 100 - 36 } \\ x = \sqrt{64} \\ x = 8 \: units \\ [/tex]
Length of rectangle = 8 units
Area of rectangle
= Length * width
= 8 * 6
= 48 square units
Find the equation of the line that contains the points (3,5) and (7, 7). Write the equation in the form y = mx + b and identify m and b.
m=
b=
Step-by-step explanation:
Using Point - Slope formula :
[tex](y - y_1) = \frac{(y_2 - y_1)}{(x_2 - x_1)} (x - x_1)[/tex]
[tex](y - 5) = \frac{2}{4} (x - 3)[/tex]
2y - 10 = x - 3
[tex]y = \frac{1}{2} x + \frac{7}{2} [/tex]
m = 1 / 2
b = 7 / 2
An bus station has determined that the relationship between the number of passengers on a bus and the total weight of luggage stored in the baggage compartment can be estimated by the least squares regression equation y=118+14x. Predict the weight of luggage for a flight with 142 passengers.
Answer:
The weight of luggage for a flight with 142 passengers is 2,106
Step-by-step explanation:
The total weight of luggage stored in the baggage compartment can be estimated by the least squares regression equation:
y=118+14*x
where y is the total weight of luggage stored in the luggage compartment and x is the number of passengers on a bus.
If you want to predict the weight of luggage for a flight with 142 passengers, this means that x must have a value of 142. So, replacing in the expression:
y=118+14*142
you get:
y=118+1,988
y=2,106
The weight of luggage for a flight with 142 passengers is 2,106
a car takes 8 hours to reach to its destination with a speed of 75km/hr. how much time will it take if the speed is 60km/hr?
Answer:
10 hours
Step-by-step explanation:
speed = distance/time
s = d/t
d = st
d = 75 km/h * 8 h = 600 km
t = d/s
t = 600 km/(60 km/h) = 10 h
Answer: 10 hours
what is onetenth for 19,548
Step-by-step explanation:
one-tenth of 19,548 is 1954.8
In a certain year, 23% of all teenagers in the United States had checking accounts. Your bank, TeenChex Inc., is interested in targeting teenagers who do not already have a checking account. (a) If TeenChex selects a random sample of 1,000 teenagers, what number of teenagers without checking accounts can it expect to find? teenagers What is the standard deviation σ of this number? (Round the standard deviation to one decimal place.)
Answer:
1. 770
2. 13.31
Step-by-step explanation:
n = 1000
P (probability of those with account) = 23% = 0.23
q(probability of those without account) = 1-p = 0.77
a. We are expected to find the expected number of those without checking account
= n * q
= 1000 * 0.77
= 770
b. Standard deviation
= √n*p*t
= √1000x0.77x0.23
= √177.1
= 13.31
M. Score: 0 of 1 pt
5 of 12
5.1.35
Find the prime factorization of the composite number.
795
795 =
(Type your answer using exponential notation.)
Answer:
3×5×53
Step-by-step explanation:
You can use divisibility rules to find the small prime factors.
The number ends in 5, so is divisible by 5.
795/5 = 159
The sum of digits is 1+5+9 = 15; 1+5 = 6, a number divisible by 3, so 3 is a factor.
159/3 = 53 . . . . . a prime number,* so we're done.
795 = 3×5×53
_____
* If this were not prime, it would be divisible by a prime less than its square root. √53 ≈ 7.3. We know it is not divisible by 2, 3, or 5. We also know the closest multiples of 7 are 49 and 56, so it is not divisible by 7. Hence 53 is prime.
The ratio of adults to children on a field trip is 2:7. If there are 14 adults on the trip, how many children are there?
Answer:
49 children
Step-by-step explanation:
Adult : Child = 2 : 7
Adult = 14
2 = 14
So, 1 = 14/2 = 1 = 7 in the ratio.
So, 7 x 7 = 49 children are there.
Answer:
49
Step-by-step explanation:
Let's set up a proportion!
2 14
-- --
7 x
Now, we cross multiply
14 times 7 = 98
2 times x = 2x
98 = 2x
98 divided by 2 equals 49
Chen took 54 photos with his digital camera. He stored an equal number of photos in each of 6 folders on his computer. Which multiplication sentence could Chen use to find the number of photos in each folder? 0 6 X 54 = 324 0 54 + 6 = 9 O 6 X 9 = 54 O 5 X 9= 45 plz help me
Answer:
6x9=54
Step-by-step explanation:
6 folders with 9 photos in each = 54 photos all together.
13 The diagram shows nine identical squares inside a rectangle.
The length of the rectangle is 12 cm.
Work out the width of the rectangle
Answer:
5...is the width of the rectangle .
I do not understand this, can anyone help me out?
Answer:
the Answer what have to be the fist bc c is the only on that is not with a ,g or b
Step-by-step explanation:
Shown below is the solution to the linear program for finding Player A's optimal mixed strategy in a two-person, zero-sum game.
VARIABLE VALUE REDUCED COSTS
PA1 0.050 0.000
PA2 0.600 0.000
PA3 0.350 0.000
GAINA 3.500 0.000
CONSTRAINT SLACK/SURPLUS DUAL PRICES
1 0.000 -0.500
2 0.000 -0.500
3 0.000 0.000
4 0.000 3.500
a.
What is Player A's optimal mixed strategy?
b.
What is Player B's optimal mixed strategy?
c.
What is Player A's expected gain?
d.
What is Player B's expected loss?
use this area to narratively respond to all four parts of the question
Answer:
Following are the answer to this question:
Step-by-step explanation:
For Option a:
Its optimal mixed approach for Player A's to Player A
A1 with a chance of .05 utilizing technique
Using the .60 chance strategy for A2
Use the .35 possibility strategy for A3
For Option b:
Optimal level mixed approach for team B:
Use the strategy for B1 with a probability of 50
Using the chance strategy for B2 at .50
no use strategy for B3
For Option c:
The estimated gain of Player A will be= 3.500
For Option d:
The estimated loss of Player B will be 3.500
10) The perimeter of a rectangular yard is 60 meters. What is its length if its width
is twice its length?
*
A 10 meters
B 18 meters
C 20 meters
D 24 meters
Answer:
Length = 20 metres
Width = 10 mteres
Step-by-step explanation:
Let the width be x metres
Let the length be 2x metres
Perimeter = 60 metres
therefore, by the problem ,
2(length+breadth)= perimeter
=>2(2x+x)=60
=>2 *3x=60
=>6x=60
=>x=10
length = 20 metres
width = 10 mteres
The equivalent resistance of R1 = 1000 ohms and R2 = 1500 ohms connected in parallel is _____ ohms.
Answer:
600 Ω see attachement
Step-by-step explanation:
Use a t-test to test the claim about the population mean µ at the given level of significance using the given sample statistics. Assume the population is normally distributed.
Claim: μ ≥8300, α=0.10
Sample statistics: ¯x=8000, s=440, n=24
Required:
a. What are the null and alternative hypotheses?
b. What is the value of the standardized test statistic? (Round to 2 decimal places as needed.)
c. What is the p-value? (Round to three decimal places as needed.)
d. Decide whether to reject or fail to reject the null hypothesis.
Answer:
uoooooohuuuuuuuuuuuihouu
Evaluate the Expression
If x = -3, y = 6, and z = -5
-15 + x + y =
Answer:
-12
Step-by-step explanation:
-15+x+y=
-15+(-3)+6
-15-3+6
-15+3
-12
7-7 im gonna post 7 more please helppp!
Hi there! Hopefully this helps!
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Answer: p = 21~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[tex]p - 18 = 3[/tex]
Add 18 to both sides.
[tex]p = 3 + 18[/tex]
Add 3 and 18 to get, you guessed it, 21!What are axioms in algebra called in geometry?
What are axioms in algebra called in geometry
Answer:
Axioms are generally statements made about real numbers. ... Sometimes they are called algebraic postulates. Often what they say about real numbers holds true for geometric figures, and since real numbers are an important part of geometry when it comes to measuring figures, axioms are very useful
Find all values of x for which the series converges. (Enter your answer using interval notation.) [infinity] 9 x − 7 9 n n = 0 For these values of x, write the sum of the series as a function of x.
Answer:
The series converges to [tex]$ \frac{1}{1-9x} $[/tex] for [tex]$ \frac{-1}{9} < x < \frac{1}{9} $[/tex]
Step-by-step explanation:
Given the series is [tex]$ \sum_{n=0}^{\infty} 9^n x^n $[/tex]
We have to find the values of x for which the series converges.
We know,
[tex]$ \sum_{n=0}^{\infty} ar^{n-1} $[/tex] converges to (a) / (1-r) if r < 1
Otherwise the series will diverge.
Here, [tex]$ \sum_{n=0}^{\infty} 9^n x^n = \sum_{n=0}^{\infty} (9x)^{n} $[/tex] is a geometric series with |r| = | 9x |
And it converges for |9x| < 1
Hence, the given series gets converge for [tex]$ \frac{-1}{9} < x < \frac{1}{9} $[/tex]
And geometric series converges to [tex]$ \frac{a}{1-r} $[/tex]
Here, a = 1 and r = 9x
Therefore, [tex]$ \frac{a}{1-r} = \frac{1}{1-9x} $[/tex]
Hence, the given series converges to [tex]$ \frac{1}{1-9x} $[/tex] for [tex]$ \frac{-1}{9} < x < \frac{1}{9} $[/tex]
A teacher records the amount of time it took a random sample of students to finish a test and their scores on that test. Let x be the score and y be the amount of time. Conduct a hypothesis test of the claim that there is a linear correlation between the variables, using a 0.10 level of significance. Find the PERCENTAGE OF THE VARIANCE IN THE Y-VALUES THAT CAN BE EXPLAINED BY THEIR LINEAR RELATIONSHIP WITH THE X-VALUES.
Answer:
The question is incomplete. The complete table is:
Score in percent (X): 80, 75, 70, 90, 95, 100, 75, 60, 75, 95
Time in minute (Y) : 45, 48, 40, 50, 40, 30, 30, 39, 38, 55
The answer is 0.55 %
Step-by-step explanation:
ΣX = 815
ΣY = 425
ΣX x Y = 34565
Σ = 67925
Σ[tex]$Y^2$[/tex] = 18699
So, correlation coefficient, b
[tex]$b= \frac{n \Sigma XY- \Sigma X \Sigma Y}{\sqrt{n \Sigma X^2-( \Sigma X)^2} \times \sqrt{(n \Sigma Y^2 -(\Sigma Y)^2}}$[/tex]
[tex]$b = \frac{(10 \times 34565)-(815 \times 425)}{\sqrt{(10 \times 67925)-(815)^2} \times \sqrt{(10 \times 10699)-(425)^2}}$[/tex]
[tex]$b= -\frac{725}{9779 \times 2702}$[/tex]
b = -0.0741
Correlation Determination:
[tex]$B^2 = (-0.0741)^2$[/tex]
= = 0.0055 = 0.55%
Therefore, 0.55 percentage of the variation in y can be explained by x variable.
Need help... Thank you
Answer:
3
because that's the definition of corresponding angles
Determine whether the situation involves permutations or combinations. Then solve. How many ways are there to place an algebra book, a geometry book, a chemistry book, an English book, and a health book on a shelf?
Answer:
The situation involves permutationThe number of arrangement is 120Step-by-step explanation:
Given that
Algebra book=1
Geometry book=1
Chemistry book= 1
English book= 1
Health book= 1
Total number of books N = (1+1+1+1+1)= 5
Permutation is used to determines the number of possible arrangements in a set when the order of the arrangements is crucial.
Number of arrangements = N!
Number of arrangements= 5*4*3*2*1= 120