Answer:
816 T-shirts
Step-by-step explanation:
16 boxes * 17 shirts = 272 shirts total in 16 boxes
272 shirts * 3 orders = 816 shirts
$2,500 is invested in an account earning 8.4% interest compounded annually. How many years did it take to reach $4,000?
Answer:
3 years
Step-by-step explanation:
The life span of a domestic cat is normally distributed with a mean of 15.7 years and a standard deviation of 1.6 years. a. Find the probability that a cat will live to be older than 14 years. b. Find the probability that a cat will live between 14 and 18 years. c. If a cat lives to be over 18 years, would that be unusual? Why or why not? d. How old would a cat have to be to be older than 90% of other cats?
Answer
a. 0.856
b. 0.78071
c. It is not unusual
d. 13.65 years old
Step-by-step explanation:
The life span of a domestic cat is normally distributed with a mean of 15.7 years and a standard deviation of 1.6 years.
We solve this question using z score formula:
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
a. Find the probability that a cat will live to be older than 14 years.
For x > 14 years
z = 14 - 15.7/1.6
z = -1.0625
Probability value from Z-Table:
P(x<14) = 0.144
P(x>14) = 1 - P(x<14) = 0.856
b. Find the probability that a cat will live between 14 and 18 years.
For x = 14 years
z = 14 - 15.7/1.6
z = -1.0625
Probability value from Z-Table:
P(x = 14) = 0.144
For x = 18 years
z = 18 - 15.7/1.6
z= 1.4375
Probability value from Z-Table:
P(x = 18) = 0.92471
The probability that a cat will live between 14 and 18 years is calculated as:
P(x = 18) - P(x = 14)
0.92471 - 0.144
= 0.78071
c. If a cat lives to be over 18 years, would that be unusual? Why or why not?
For x > 18 years
z = 18 - 15.7/1.6
z= 1.4375
Probability value from Z-Table:
P(x<18) = 0.92471
P(x>18) = 1 - P(x<18) = 0.075288
Converting this to percentage:
0.075288 × 100 = 7.5288%
Hence, 7.5288% of the cats live to be over 18 years. Hence, it is not unusual.
d. How old would a cat have to be to be older than 90% of other cats?
From the question above, 10% of the cats would be older than 90% of other cats.
Hence, we find the z score of the 10th percentile
= -1.282
Hence,
-1.282 = x - 15.7/1.6
Cross Multiply
-1.282 × 1.6 = x - 15.7
- 2.0512 = x - 15.7
x = 15.7 -2.0512
x = 13.6488 years old
Approximately = 13.65 years old
Find the slope and the coordinates of the points of intersections of the following lines with coordinate axes y= -1/4x+2
Step-by-step explanation:
y = -0.25x + 2
The slope is the coefficient of x, which is -0.25.
y-intercept is the constant term, which is 2.
When y = 0, -0.25x + 2 = 0, -0.25x = -2, x = 8.
=> x-intercept = 8.
Cal plans to paint a wall that is 9 feet tall and 9 feet long. He buys a can of paint that covers 100 square feet. Which of the following statements apply?
He will have half a can of paint left over.
He will have less than half a can of paint left over.
He will NOT have enough paint.
He will have exactly enough paint.
Answer:
D
Step-by-step explanation:
that is 100-81
=19
meaning the paint shall be enough
pweese help!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
D
Step-by-step explanation:
In the figure to the right, AE+DC= 1 1/5 m, AB=1 3/4 cm, DE=1 1/4 cm, and BC =1 3/10 cm. Find the perimeter of the figure.
9514 1404 393
Answer:
5 1/2 cm
Step-by-step explanation:
The perimeter is the sum of the given lengths (in cm):
P = (1 1/5) +(1 3/4) +(1 1/4) +(1 3/10)
= (1 + 1 + 1 + 1) +(2/10 + 3/4 + 1/4 +3/10)
= 4 + 1 5/10
= 5 1/2
The perimeter of the figure is 5 1/2 cm.
The area of rectangle is 35 square feet.the length of rectangle is 5feet what is the width of the rectangle
Answer:
the answer should be 7
Step-by-step explanation:
2y – 12x = -14 please help
15 people are expected for a dinner. Three ounces of corn serves one person. A can of corn is nine ounces. How many cans of corn should be bought for the dinner?
Answer:
there should be 5 cans of corn! hope This Helps
Step-by-step explanation:
Answer:
The answer is 5
Step-by-step explanation: You have to multiply the amount of people by the servings a person gets (15*3), you then divide that by the amount of ounces a can has (45/9) the result is 5.
Quinn is baking cookies for the bake sale at her school using her grandmother recipe. She uses 12.5 cups of flour to make 5 dozen cookies.
Find the constant of proportionality
Harold cut 18 and a half
inches off a rope that was 60 inches long. How is the length of the remaining rope in inches written in decimal form?
The length of the remaining rope is 41.5 inches.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Harold cut 18 and a half inches off a rope that was 60 inches long.
Let the remaining length of the rope be x.
This can be written as,
⇒ [tex]x=60-18.5[/tex]
⇒ [tex]x=41.5[/tex]
Hence we can conclude that the length of the remaining rope is 41.5 inches.
Learn more about word problems here
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#SPJ2
what percent of 18 is 24? Side info: the answer is not 75% or 133%!!!
Answer:
133 1/3 %
Step-by-step explanation:
24/18 = 4/3
4/3 * 100 = 133 1/3 %
Missed that 1/3
Answer:
133.33%Step-by-step explanation:
24 is x% of 18, solving for x:
x = 24/18*100% = 133.33%OK ILL SAY IT PEOPLE WANT MONEY TO ANSWER PROBLEMS HERE If the mean of six nu m b e rs is 48, does one
of the nu m b e rs have to be 48? Explain
why or why not. Give an example with six
nu m b e rs to show your answe
Answer:
No, because a mean is the average.
Step-by-step explanation:
Consider the following example:
The set is:
19, 23, 11, 31
if you add all these up you get 84.
Then you divide by 4 and get 21. So, 21 is the mean but, when you look at the set of numbers, 21 is not there. So, the same goes for any number, a number can still be the mean even if it is not in the set.
someone help me out please
Answer:
The answer would be B :)
Step-by-step explanation:
Jada will draw two scale drawings of the same object on 1-cm grid paper. Each centimetre will represent a greater distance in the second
drawing than in the first. Jada claims that the lengths in the second drawing will be longer than the lengths in the first drawing. Do you agree? Give an example of a scale and a measurement to support your answer.
Search entries or author
Answer:
Jada is wrong. For example, say Jada is drawing scaled versions of a 10x10 yard square. In her first drawing, 1 centimeter = 1 yard, so the drawn square is 10x10 centimeters. In her second drawing, 1 centimeter = 2 yards, which is greater, like the problem says. This drawing will be only 5x5 centimeters, meaning the lengths will be smaller as each centimeter represents a greater number of yards.
Factor the expression using GCF of 4+22
Answer:
the answer would be 2(2+11)
Step-by-step explanation:
Sports Plus has a sale on all
baseball cleats for 25% off. If a
pair of cleats is priced at $74.00,
what is the price after the
discount?
Answer:
$55.5
Step-by-step explanation:
divide 74 by 100 to find out how much 1% of the shoe is and multiply that number by 25 and you will get 18.5 , then subtract 18.5 from 74 and you get $55.5!Hope this helps :)
Keenan found a basketball on
sale for 15% off. If it cost
$39.99, what was the sale
price?
Answer:
$34
Step-by-step explanation:
Take 15% and multiply by $39.99
.15 x 39.99 = 5.99 (or, 6 rounded up)
Then, subtract that from the original price. $39.99 - 5.99 = $34
help please!!!!!!!!!!
Answer:
x=3
y=5
Step-by-step explanation:
5x+3(0) The y is zero because in the x-intercept the y is zero (same for x)
5/5x=15/5
x=3
5(0)+3y=15
3/3y=15/3
y=5
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to this system of inequalities in the coordinate plane.
3y > 2x + 12
2x + y < -5
Please respond asap
Answer:
Hope this helps
Step-by-step explanation:
A bicyclist is in the exact middle of a straight trail that has endpoints at coordinates (11, 2) and (13, 5)on a map. Each unit of the grid is equal to 1 mile. What are the coordinates of the bicyclist on the map? *
6.5, 9)
(12, 3.5)
(13, 18)
(24, 7)
Allison can work up to 35 hours per week. if she works 5 1/2 hours Monday, 6 hours on Tuesday, and 7 3/4 hours on Wednesday, how many more hours can she work during the week
Answer:
15 3/4
Step-by-step explanation:
this is simple addition and subtraction
11) Solve the multiplication equation. Check your answer.
39 = 13y what does y equal?
Answer:
y = 3
Step-by-step explanation:
39 = 13y
y = 3 (explanation: by dividing 13)
Check answer:
39 = 13(3)
39 = 39
Answer:
y = 3
Step-by-step explanation:
39 = 13y
Divide each side by 13
39/13 = 13y/13
3 = y
Check
39 = 13*3
39 = 39
Our solution checks
Which of these graphs represents a function?
A)
A
B)
B
C)
С
D)
D
write an expression to represent the sum of 10 and 5 times a number x
Answer:
10 + 5x
Explanation:
5 times a number x is going to be 5x.
The sum of 10 and 5x will be them added together which is 10 + 5x
What is the value of the expression below 64 5/6
Answer:
[tex]64\dfrac{5}{6}=\dfrac{389}{6}[/tex]
Step-by-step explanation:
We need to find the value of the expression :
[tex]64\dfrac{5}{6}[/tex]
It is in the form of a mixed fraction. We can simplify it as follows :
[tex]64\dfrac{5}{6}=\dfrac{64\times 6+5}{6}\\\\=\dfrac{389}{6}[/tex]
Hence, the value of the given expression is [tex]\dfrac{389}{6}[/tex].
Answer:
32
Step-by-step explanation:
Which graph can be used to solve the equation 2^x-1=x+2?
Answer:
Bottom Left
Step-by-step explanation:
I found the graph. All you needed to do was switch the red and blue line. I put a screenshot of the correct answer on I-Ready as well as the graph I had found.
The system of equations needed to solve the given equations is . Thus, the correct graph is the top-right graph. Its plotted below.
How to find the system of equations needed to solve an equation?An equation usually consists of equality of two mathematical expressions. Let it be [tex]A = B[/tex]. If we take them to be equal to third variable, then:
[tex]A = B = C[/tex] type of equation is obtained.
We can then take it as system of two equations as:
[tex]A = C\\B = C[/tex]
Solution to this system will give us the solution to the considered equation
For a solution to be solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs.
For the given case, we are given that:
[tex]2^x-1=x+2[/tex]
Taking these two mathematical expression equal to 'y', we get:
[tex]2^x-1=x+2 = y[/tex]
or
[tex]y = 2^x - 1\\and\\y= x+2[/tex]
Plotting these two functions on the X-Y plane, the common point of these curves is the common value which can satisfy both the equations simultaneously, and thus, being the solution to the considered system of equations.
Thus, the solutions are those two points that are intersections of those two curves.
Learn more about solution of a system of an equation here:
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If the measure of angle
A = 55 degrees, b = 12,
and c= 7, find a.
ASAP ASAP 30 POINTS
A ratio table shows ratios that are....
A)equivalent
B)subtracted
C)unequal
Answer:
A ) equivalent
Step-by-step explanation:
<333 .! :)
Answer:
I agree with the answer equivalent because I am also doing the assignment
Have a great day!
As part of her role on the planning committee for the high school prom, Keisha hired
a DJ. The DJ charges $150 per hour for performing plus a $100 flat fee for setup and
takedown. The committee budgeted $1000 for a DJ for the prom. Which of the
following represents the number of performing hours, x, for which the DJ could be
hired to stay within the committee budget.
A) x is less than or equal to 6
B) x is greater than or equal to 6
C)x is less than or equal to 7
D) x is greater than or equal to 7
x ≤ 6
which is A
or if not then it's B for
x ≥ 6