4²= 16
Work - 4 x 4 = 16
2⁴= 16Work - 2 x 2 x 2 x 2 = 16
8²= 64Work - 8 x 8 = 64
2⁸= 256Work - 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2= 256
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.
Solve for m
18 - 4m = 6 - 16m
Answer:
m = -1
Step-by-step explanation:
18 - 4m = 6 - 16m
18 - 6 = 4m - 16m
12 = -12m
m = 12 / -12
m = -1
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
Solve: 19x2 +
12x2 +5x-4 - 122x+6
O x= 2
x= -5
x = 2, x= -5
no solution
Answer:
x = 2, x = -5 (The third option)
Step-by-step explanation:
Create equivalent expressions in the equation that all have equal bases, then solve for x
Is this wrong?
Factorize x^2+3x+2
x^2+2x+x+2
x(x+2)+x+2
(x+2)(x+2)
if wrong please correct.
Help!
Step-by-step explanation:
The last step is a little wrong. Lemme show you:
x(x + 2) + (x + 2)
Imagine there is an invisible '1' infront of (x + 2) like this:
= x(x + 2) + 1(x + 2)
Now we can combine the like terms together:
= (x + 1)(x + 2)
This is the correct factorization.
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
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
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.
The Global Footprint Network is an organization dedicated to the advancement of environmental sustainability around the world. The organization performed a data analysis of the relationship between Ecological Footprint Consumption per Capita and human development index (HDI) by country. The Ecological Footprint Consumption per Capita represents the demand in land resources imposed by human consumption per person, measured in hectares. The Human Development Index (HDI) metric is a calculation that combines life expectancy, education, and per capita income data in order to rank countries by human development. The Ecological Footprint Consumption per Capita, HDI, and country name data for a set of countries are provided in the data file.Click to download the data in your preferred format. Crunchlt! CSV Excel JMP Mac-Text Minitab PC-Text R SPSS TI Calc Produce a scatterplot with Ecological Footprint Consumption per Capita as the response variable, y, on the vertical axis and HDI as the explanatory variable, x, on the horizontal axis. Identify the names of the countries that are outliers based on the scatterplot, starting with the most extreme outlier, followed by the second-most extreme outlier. Data:Length GRT_min98 14126 11115 27110 20120 2113 2891 1988 12.35107 15111 1490 10117 2496 7117 23117 1286 2896 979 1377 13118 4790 2784 10105 1591 1494 1886 1399 5 120 31118 1388 8.85118 18113 581 69.1797 28103 22.4111 22.75110 9.12112 7.48109 23.6789 57.25114 26.41101 1091 2197 9.48110 17.982 15.22106 21.77117 17.0599 17.93111 36.6579 23.38115 13.2296 23.3896 16.28
Answer:
i don't get this sorry but i'm going to try ok thanks
Step-by-step explanation:
The answer is 69.1797
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
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)
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
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
brainly.com/question/20594903
#SPJ2
A tank is 4/5 full of water after drawing
off 190 liters,5 liters of water
is just 1/6 full .what is the capacity of the tank
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
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:
https://brainly.com/question/13722693
Which graph best represents the equation y= 2/5x + 3
Answer:
I it is the one on the bottom.
Step-by-step explanation:
Peter bought 2 1/2 pounds of hamburger meat.He is planning to make 1/4 pound hamburgers.How many 1/4 pound hamburgers can he make
Answer:
10
Step-by-step explanation:
divide the numbers for a anser
Ellen bought 18 boxes of paper clips. Each box had 150 paper clips. How many paper clips did Ellen buy
Answer:
Ellen bought 2700 paper clips.
Step-by-step explanation:
Total boxes=18
Paper Clips in 1 box=150
Total paper clips=18×150
=2700
Answer:
ellen bought 2700 paper clips
Step-by-step explanation:
total paper clips in a box = 150
total boxes = 18
multiplication = 150×18=2700
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:
Which of these graphs represents a function?
A)
A
B)
B
C)
С
D)
D
Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.
A(-6, 9), B(2, 1); Ratio 5 to 3
Answer:
P(-11 , 14)
Step-by-step explanation:
Explanation:-
Given points A(-6, 9), B(2, 1); Ratio 5 : 3
The Point P divides the directed line segment from A to B in the given ratio Externally
5 : 3
A( -6,9) B(2,1)
we will use formula
= [tex](\frac{5(1)-3(9) }{5-3} ,\frac{5(2) -3(-6)}{5-3})[/tex]
= [tex](\frac{5-27}{2} , \frac{10+18}{2} ) = (-11 , 14)[/tex]
The point P( -11 ,14) divides the directed line segment from A to B in the given ratio Externally
If the measure of angle
A = 55 degrees, b = 12,
and c= 7, find a.
A hiker starts hiking at the beginning of a trail at a point which is 20 feet below sea level. He hikes to a location on the trail that is 58 feet above sea level
and stops for lunch
What is the vertical distance between 200 feet below sea level and 580 feet above sea level?
Answer:
780 feet below sea level
Step-by-step explanation:
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
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.
Solve for y.
a.14
b.12
c.13.9
d.10.4
Answer:
the answer is y, I just took the test
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:
What is most reasonably measured in miles?
Answer:
Length of a Road
Step-by-step explanation: No man that has ever lived (Well unless they're a nephilim or smth) is over a mile tall. Swimming pools and buildings aren't usually big enough to be measured in miles unless they're either a skyscraper or a Wisconsin water park attraction.
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.