Answer:
0.9987
Step-by-step explanation:
Given that X, The distribution of the baggage weights for passengers using a particular airline has a mean of 19.4 lbs and a standard deviation of 5.3 lbs.
For a sample of size 100, we have
n=100
Hence std deviation of sample = [tex]\frac{SD}{\sqrt{n} } =0.53[/tex]
To find the probability that X>2100/100 lbs
=P(X<21[tex]\frac{21-19.4}{0.53} =3.019[/tex]) =P(Z<3.019)
=0.5+0.4987
0.9987
Lin has 13 coins in her pocket that equal 40 cents. All the coins are dimes, d, and pennies, p. Which combination of coins does Lin have? Use the table to answer the question.
The combination of coins are:
3 dimes and 10 pennies.
Step-by-step explanation:Let there are d number of dines and p number of pennies.
Now as there are a total of 13 coins this means that:
d+p=13------(1)
and also the total value of the coins is 40 cents.
1 dime=10 cents
Hence, d dime= 10 d cents
Also, 1 penny= 1 cent
Hence p penny= p cents
Hence, we get:
10d+p=40------(2)
On subtracting equation (1) from (2) we get:
9 d=27
on dividing both side by 9 we get:
d=3
On putting the value of d in equation (1) we get:
3+p=13
i.e. p=13-3
i.e. p=10
The combination is:
3 dimes and 10 pennies
If the area of the parallelogram is 540 in^2 what is the missing height?
If Lewis's house increases in value by 3% each year over two decades, he could still lose money when he sells the house if _____.
Select the best answer from the choices provided.
a) interest rates on mortgages fell 3% over the same time
b) his repair and maintenance costs were more than 3% a year
c) homes in other areas of town lost more than 3% of their value
d) his down payment was significantly more than 3% of the house value
The correct answer is:
b) his repair and maintenance costs were more than 3% a year
Explanation:
Lewis's house increases in value by 3% each year. However, if he spends more than 3% of the value of his home each year in repairs and maintenance, when he sells the home, he will not be making money; he will in fact lose money, compared to what he's spent the last two decades.
The manager of a store selling tea plans to mix a more expensive tea that cost $7 per pound with a less expensive tea that cost $4 per pound to create a hundred forty pound blend that will sell for $6.10 per pound. How many pounds of each type of tea are required?
PLEASE HELP!!
A music store orders wooden drumsticks that weigh 96 grams per pair. The total weight of the box of drumsticks is 782 grams. How many pairs of drumsticks are in the box if the empty box weighs 206 grams?
_______ pairs?
Answer: 6 Drumsticks
Step-by-step explanation:
caleb and his classmates are making felt dog toys for a local animal shelter. how much red and yellow felt does his teacher need to buy so 20 students can each make a toy?
felt needed for each toy
1/8 sheet of white
3/8 sheet of red
5/8 sheet of yellow
1 1/8 sheets of black
Answer:
C ) 8 sheets of red and 13 sheets of yellow felt
Step-by-step explanation:
Final answer:
Caleb's teacher needs to purchase 7.5 sheets of red felt and 12.5 sheets of yellow felt so that each of the 20 students can make a dog toy.
Explanation:
To calculate the amount of red and yellow felt Caleb's teacher needs to buy for 20 students to each make a dog toy, we can multiply the amount of felt needed for one toy by the total number of students.
Red felt needed: 3/8 sheet per toy
Yellow felt needed: 5/8 sheet per toy
For red felt:
3/8 sheet x 20 students = 60/8 sheets
To simplify this, we divide 60 by 8, which equals 7.5 sheets. So, the teacher needs to buy 7.5 sheets of red felt.
For yellow felt:
5/8 sheet x 20 students = 100/8 sheets
After simplifying, 100 divided by 8 equals 12.5 sheets. Therefore, the teacher needs to acquire 12.5 sheets of yellow felt.
130.8996939 rounded to the nearest hundredth
Consider the diagram shown where a ladder is leaning against the side of a building. The base of the ladder is 12 ft from the building. How far is the top of the ladder from the ground?(to the nearest ft)
Find the real square roots of .0064 and -.0081
Tim Worker estimates his taxable income will be $7,000. He is paid twice a month or 24 times a year. Because Tim has only one source of income, he uses the Tax Tables to estimate how much will be deducted from his pay for withholding.
Answer: finds the tax rate for his income level: 10%
Enters the base amount 29.16
Enters the amount of tax owed: 700
Divides by: 10 =:700
Step-by-step explanation:
I took the test hope this helps
Fabian harvests 10 pounds of tomatoes from his garden he needs 2 2/5 pound to make a batch of soup. If he sets aside 2.8 pounds of tomatoes to make spaghetti sauce, how many batches of soup can He make
With 7.2 pounds of tomatoes, Fabian can make 3 batches of soup since each batch requires 2.4 pounds of tomatoes.
Explanation:First, let's understand the total quantity of tomatoes Fabian has to make soup. He harvested a total of 10 pounds and set aside 2.8 pounds for spaghetti sauce. So, he has 7.2 pounds of tomatoes left to make soup. Every batch of soup needs 2 2/5 pounds of tomatoes which is equivalent to 2.4 pounds. To find out how many batches of soup he can make, divide the total weight of tomatoes he has for the soup by the weight each batch needs. Therefore, 7.2 divided by 2.4 gives 3 batches of soup.
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PLEASE HELP WILL GIVE BRAINLIEST!!!! The graph shows the function f(x)=2^x
A circle has a radius of 26.85 inches what is the circumference of this circle
when you divide a whole number by a fraction with a numerator of 1, explain how you can find the quotient
Find the volume of the figure. A) 33 in3 B) 150 in3 C) 233 in3 D) 425 in3
The Volume of Figure is 233 inch³.
What is Volume?Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill. Volume is a three-dimensional quantity used to calculate the capacity of a container.
Given:
Top Cuboid:
length = 12 inch
width = 3 inch
Height = 3 inch
Bottom Cube:
Edge = 5 inch
So, the Volume of Figure
= Volume of Top Cuboid + Volume of Cube
= 12 x 3 x 3 + 5 x 5 x 5
= 72 + 125
= 233 inch³
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Jamel swam 92 meters in 4 minutes. Andre swam 105 meters in 5 minutes. Who is ther faster swimmer? Provide very clear evidence to support your answer.
Evaluate 10x^2y^-1 for x=3 and y=2
Answer:
[tex]10x^{2} y^{-1}[/tex] for x=3 and y=2 is 45.
Step-by-step explanation:
In order to evalue the given expression [tex]10x^{2}y^{-1}[/tex] you have to rewrite it as a fraction, using the property for a negative exponent which says that [tex]y^{-1}[/tex] can be written as [tex]\frac{1}{y}[/tex]
You obtain: [tex]\frac{10x^{2} }{y}[/tex]
Now, you have to replace the given values of x and y in the previous expression:
x=3 and y=2
[tex]\frac{10(3)^{2} }{2}[/tex]
Solving the square:
[tex]\frac{(10)(9)}{2}[/tex]
Solving the multiplication and division:
[tex]\frac{90}{2} = 45[/tex]
The answer is 45
What are the direction indices for a vector that passes from point 34 1 12 to point 14 12 1 in a cubic unit cell? please indicate negative directions by a "-" sign before the integer and omit spaces between numbers?
The direction indices for a vector passing from point (34, 1, 12) to point (14, 12, 1) are calculated by subtracting the coordinates of the starting point from the ending point, resulting in the indices [-20 11 -11].
Explanation:The student asked for the direction indices of a vector passing from point (34, 1, 12) to point (14, 12, 1) in a cubic unit cell. To determine the direction indices, we need to subtract the coordinates of the initial point from the coordinates of the final point. The resulting vector ∆r will have components ∆x, ∆y, and ∆z as follows:
∆x = 14 - 34 = -20∆y = 12 - 1 = 11∆z = 1 - 12 = -11Therefore, the direction indices for the vector are written without spaces and with negative signs for negative directions. In this case, the direction indices would be [-20 11 -11].
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One side of a rectangle is five times as long as the other side. If the perimeter is 72 meters, what is the length of the shorter side?
Which expression is equivalent to (xy)z?
Answer:
C is the correct answer.
Step-by-step explanation:
Took the test.
x(yz)
What must be true of the discriminant the soulution to a quadratic equation is a set of 2 different real numbers?
What is the decimal value of the 2 in the hexadecimal number f42ac16?
The decimal value of the 2 in the hexadecimal number f42ac16 is 2.
Explanation:The hexadecimal number f42ac16 can be split into individual digits, where each digit represents a power of 16. Starting from the rightmost digit, the 2 represents the digit in the 16^0 (1) place, which is simply 2. Therefore, the decimal value of the 2 in the hexadecimal number f42ac16 is 2.
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Find the values of x,y, and z. The diagram is not to scale.
A. x = 86, y = 94, z = 75
B. x = 86, y = 75, z = 94
C. x = 75, y = 94, z = 86
D. x = 75, y = 86, z = 94
Answer:
b) x=86,y=75,z=94
Step-by-step explanation:
The center of a circle is at the origin. An endpoint of a diameter of the circle is at (-3, -4). How long is the diameter of the circle? 5, 10, or 25?
What is 21/16 simplified
what is the volume of the 3d shape created by rotating the square with side lengths of 14cm
Compare 0.3 and 0.8 using >,=,or <. Draw a model or number line to support your solutions
if gold is currently trading at 800.00 /oz and you inherit a gold coin worth 3200.00 how much does the coin weigh
In a recent semester at a local university, 490 students enrolled in both General Chemistry and Calculus I. Of these students, 61 received an A in general chemistry, 63 received an A in calculus, and 25 received an A in both general chemi: and calculus Find the probability that a randomly chosen student received an A in general chemi stry or calculus or both
SUSAN NEEDS EXACTLY 4 PLATES ON EACH TABLE FOR THE BANQUET,AND 5 PLATES AT THE MAIN TABLE.IF SHE HAS 417 PLATES,HOW MANY TABLES IS SHE ABLE TO PREPARE?INCLUDE THE MAIN TABLE IN COUNT