56 is 80% of what number?
Formula - [tex]\dfrac{Number\times100}{Percent}[/tex]
______________________
[tex]\dfrac{56\times100}{80} =\dfrac{5600}{80}=\fbox{70}[/tex]
15. A grocer has 100 cans that he plans to stack in a four-sided pyramid that is 6 layers high. Does he have enough cans to create the pyramid? The explicit formula for a pyramidal sequence is P(n) = n(n+1)(2n+1) 6
He has enough cans to create the pyramid i.e. 91 cans.
What is a pyramid?
A three-dimensional shape is a pyramid. A pyramid's flat triangular faces unite at a common point known as the apex and have a polygonal base. The bases are joined to the peak to create a pyramid. The lateral face is a triangle face formed by the connection of each edge of the base to the apex.
Each layer of the pyramid contains the square of the layer number.
Let's find out :
[tex]1^{2}[/tex] = 1, [tex]2^{2}[/tex] = 4, [tex]3^{2}[/tex] = 9, [tex]4^{2}[/tex] = 16, [tex]5^{2}[/tex] = 25, [tex]6^{2}[/tex] = 36
So, the total number of cans required = 1+4+9+16+25+36
= 91 cans
Hence, he has enough cans to create the pyramid.
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danovan and three freinds go to a fair. They each spend 1/2 of their money on rides. They each spend $3 on food. At the end of the day, Danovan and his freinds have a total of $8 remaining. How much money did each person bring to the fair
Answer:
They each brought $22 to the fair
Step-by-step explanation:
8+3=11
11*2=22
Answer=22
Solve for the missing variables, I know they add up to 360 but where do i start?
Answer:
Step-by-step explanation:
a°=180°-36°=144° b°=180°-113°=67°
a°=144° and b°=67°
144+67=211
36+113=149
149+211=360
In a simple linear regression analysis, the correlation coefficient (r) and the slope (m) _____ have the same sign.
In a simple linear regression analysis, the correlation coefficient (r) and the slope (m) Always have the same sign.
What is linear regression?
Predictive analysis and modelling frequently use linear regression. It can be used, for instance, to measure the proportional effects of diet, age, and gender (the predictor variables) on height (the outcome variable).
A correlation coefficient is a metric that expresses a correlation, or a statistical relationship between two variables, in numerical terms.
Two columns of a given data set of observations, also known as a sample, or two parts of a multivariate random variable with a known distribution may serve as the variables.
Hence, in a simple linear regression analysis, the correlation coefficient (r) and the slope (m) Always have the same sign.
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The reciprocal of 1 3/13
(Type an integer or a simplified fraction.)
IS
Answer:
[tex]\frac{13}{16}[/tex]
Step-by-step explanation:
1 [tex]\frac{3}{13}[/tex] is the same as [tex]\frac{13}{13}[/tex] + [tex]\frac{3}{13}[/tex] = [tex]\frac{16}{13}[/tex]
The reciprocal is just turning the fraction upside down.
A line passing through
the point (-8, 13)
with a slope of -3.
IN POINT-SLOPE FORM
Point-slope form: y - 13= -3(x + 8)
Slope-intercept form: y = -3x - 11
Please! I need help.
Thank u. I appreciate it.
Answer:could you get a better picure
Thank you :)
Jill buys a necklace for $24.75 plus an 8% tax. Jane buys a bracelet for $15 plus an 8% tax. Enter the sum, in dollars, that Jill and Jane paid, including tax.
Answer:
Jill paid 26.73$, and Jane paid 16.20$ with tax in total 42.93$
Step-by-step explanation:
[tex]24.75$ * 0.08$= 1.98$\\15$ * 0.08$= 1.2$\\24.75$ + 1.98$=26.73$\\15$ + 1.20$= 16.20$\\26.73$ + 16.2$= 42.93$[/tex]
Dakota has 128 baseball cards. She wants to put them in an album that has 16 pages.
Dakota can put ________ baseball cards on each page.
Answer: 8
Step-by-step explanation:
128 divided by 16 = 8 baseball cards on each page
8 Baseball card if the page takes the same number of baseball cards
Step-by-step explanation:
If the album as 16pages, and there are 128 baseball cards to share in each pages "equally", then it's going to be 128/16 which equals 8 in each pages
in a certain game of chance you buy a ticket for 3 dollars . if you win you receive a check for 100 dollars , if you lose you don't get any money . what is the expected profit of this game (in dollars) if the probability of winning is 0.01 ?
The probability of winning is 0.01 is -2 is the expected profit of this game.
What is probability?
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence.Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty. Probability is a crucial subject because it teaches all the fundamental ideas of the subject. One is the probability of every event in a sample space.Expected profit of the game =expected value received from this game- cost to play the game
=100*0.01-3
= -2
Hence, the probability of winning is 0.01 is -2 is the expected profit of this game.
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Write an equation perpendicular to 2x + y = −5 and passing through (1,1)
Please help on this!!
Answer:
4x+14
Step-by-step explanation:
Your welcome! Give me brainiest! :>
Which expression represents the number -2i(5- i) + (17- 8i) rewritten in a + bi
form?
O 15-18i
O 15-2i
O 19 - 18i
O 11 + 8i
Answer:
(a) 15 -18i
Step-by-step explanation:
You want the simplified form of the expression -2i(5- i) + (17- 8i).
Complex numbersFor many purposes, the value i in a complex number can be treated in the same way a variable would be treated. When simplifying an expression involving i, any instances of i² can be replaced with the real value -1.
-2i(5- i) + (17- 8i) = -10i +2i² +17 -8i
= -2 +17 +(-10 -8)i
= 15 -18i
__
Additional comment
Your scientific or graphing calculator can probably help you evaluate such expressions.
What are the 4 types of rational numbers?
Positive Rational Numbers, Negative Rational Numbers, Whole Numbers, Fractions are the 4 types of rational numbers.
1. Positive Rational Numbers: These are numbers that are greater than zero, such as 1/2, 3/4, and 5/6.
2. Negative Rational Numbers: These are numbers that are less than zero, such as -1/2, -3/4, and -5/6.
3. Whole Numbers: These are numbers that are greater than or equal to zero, such as 0, 1, 2, 3, and so on.
4. Fractions: These are numbers that are represented as a ratio of two integers, such as 1/2, 3/4, and 5/6.
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The temperature was 42°C this afternoon. If the temperature dropped 9°C, what is the temperature now?
The temperature was 42°C this afternoon. If the temperature dropped 9°C, The temperature is now 33°C.
In order to calibrate thermometers, a variety of temperature scales with distinct reference points and thermometric materials are used.The Celsius scale (°C), formerly known as centigrade, with the unit symbol °C, is the most commonly used scale, followed by the Fahrenheit scale (°F) and the Kelvin scale (K), which is mostly used for scientific purposes. One of the seven base units in the International System of Units is the kelvin (SI).
42°C - 9°C = 33°C
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PLEASE HELP ME WITH THIS!! I’ve stuck on this question for a past hour.
Answer:
[tex]\sf a. \quad Scale\;factor=\dfrac{10}{9}[/tex]
b. Enlargement.
Step-by-step explanation:
The original figure is called the "pre-image".
The new, transformed figure is called the "image" and is usually indicated by the addition of ' after the name.
Therefore:
CP is the pre-image.CP' is the image.To find the scale factor of dilation, divide the dimension of the image by the dimension of the pre-image.
[tex]\implies \sf Scale\;factor=\dfrac{CP'}{CP}=\dfrac{20}{18}=\dfrac{10}{9}[/tex]
As the image is larger than the pre-image (and the scale factor is larger than 1), the dilation is an enlargement.
for her phone service, keisha pays a monthly fee of , and she pays an additional per minute of use. the least she has been charged in a month is . what are the possible numbers of minutes she has used her phone in a month? use for the number of minutes, and solve your inequality for .
Answer:
256
Step-by-step explanation:
(a) a box contains 4 red balls, 3 white balls, and 3 black balls. two balls are drawn at random from the box (with replacement of the first before the second is drawn). what is the probability of getting a red ball on the first draw and a white ball on the second? (enter your probability as a fraction.)
The probability of getting a red ball on the first draw and a white ball on the second is 0.3.
Total number of balls = 10
Now we have to pick: 4 red balls or 3 black balls or 3 white balls.
Case-1:
In this case we pick 4 red balls.
Now, probability for picking one red ball is 3/10. Now, the 2nd ball is drawn which is also red, probability for picking 2nd red ball is 2/19. probability for picking two red balls is
P(r) = (3/10) (2/9)
Case-2:
In this case we pick 3 white balls
Probability for picking 3 white balls
P(w) = (3/10) × (4/9)
Case-3:
probability for picking 03 black balls:
P(b) = (03/10) (02/9)
Therefore, probability for picking 2 same color balls:
= (3/10) (2/9) +(03/10) × (04/9) +(03/10) (02/9)
= 0.3
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consider the data set below. what are the factors? what is the response variable? how many levels of factor a are there and how many levels of factor b are there? what is the value of n (replicates per combination or treatment)?
Data set: Factor A: Brand of Car Factor B: Type of Fuel Response Variable: Fuel Efficiency Levels of Factor A: 4 (Toyota, Honda, Ford, Chevrolet) Levels of Factor B: 2 (Gasoline, Diesel) Value of n: 3 (3 replicates per combination or treatment)
The data set has two factors: Brand of Car and Type of Fuel. The response variable is Fuel Efficiency, which is the value that is being measured in response to the two factors. There are four levels of Factor A (Toyota, Honda, Ford, Chevrolet) and two levels of Factor B (Gasoline, Diesel). Finally, the value of n is 3, meaning there are 3 replicates or treatments per combination of the two factors.
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Elanor wants to estimate the number of frogs in a reservoir. She catches 90 frogs from the reservoir and marks them with a non-harmful dye. Elanor then returns the frogs to the reservoir. The next day she catches another 80 frogs and 10 of these are marked with the dye. Work out an estimate for the total number of frogs in the reservoir
The total number of frogs in the reservoir are 160.
What is Reservoir?
An enlarged lake behind a dam is a reservoir. Such a dam could be a man-made structure created to hold freshwater or it could be a natural formation.
Given:
Elanor wants to estimate the number of frogs in a reservoir.
She catches 90 frogs from the reservoir and marks them with a non-harmful dye.
Elanor then returns the frogs to the reservoir.
The next day she catches another 80 frogs and 10 of these are marked with the dye.
So on the first day the total frogs are 90.
On second day total frogs are 80 but 10 of them are dye, so the remaining are 70.
Therefore, the total frogs are 90 + 70 = 160.
Hence, the total number of frogs in the reservoir are 160.
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dage measurs and finds that she can do a vertical jump 27.5% of her hight if age can jump 13.2 inches how tall is she
Her height is 48 inches
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
The distance jump = 13.2 inches
The percentage of the distance jump = 27.5% of her height.
This means,
Height = x
x = 100%
Now,
13.2 inches = 27.5%
Multiply 100/27.5 on both sides.
100/27.5 x 13.2 inches = 100%
48 inches - 100%
Thus,
The height is 48 inches.
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6 ÷ 9473 please right now
Answer: 1578
Step-by-step explanation:
The answer is 1578
Answer:
1578.8333
Step-by-step explanation:
139 + = 0
Question 3 options:
A: -139
B: 139
C: 39
D: 140
Answer:
A: -139
Step-by-step explanation:
139 + (-139) = 0
Answer: -139
Answer:
It would be A. -139
Step-by-step explanation:
139 + -139 is the same thing as 139 - 139
A positive plus a negative is saying a positive minus a positive. so it is A
Evaluate this answer
By replacing the value of x by 4 the answer to the given Algebraic Expression is 10
What is an Algebraic Expression?
The concept of algebraic expressions is to represent numbers using letters or alphabets without providing their real values. In mathematics, an algebraic expression is an expression composed of variables and constants as well as algebraic operations (addition, subtraction, etc.). Terms combine to form expressions.
Solution:
All we have to do to solve the following problem is to replace x by 4
3(4+4)(4+1)/(4+2)(4-2)
(3*8*5)/(6*2)
10
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Find an equivalent ratio in simplest terms: 90:20
Answer: 9/2
Step-by-step explanation: Since the simplest form of the fraction 90/20 is 9/2, the simplest form of the ratio 90:20 is also 9:2. Please give brainliest.
1. A plant grows at a constant rate. The table shows the heights
of the plant for different numbers of days of growth.
Which of the following pairs of days and heights could also be
included in the table? Select all that apply.
Day 4: 8 in.
B Day 9: 16 in.
Day 11: 22 in.
Day 15: 30 in.
(E) Day 21: 44 in.
actidently
decendent
The pairs of days and heights that could also be included in the table is given as follows:
Day 4: 18 inches.Day 9: 28 inches.Day 11: 32 inches.Day 15: 40 inches.Day 21: 52 inches.How to define the linear function?The slope-intercept linear function that defines the plant's height after x days is given as follows:
y = mx + b.
The coefficients of the function are given as follows:
m is the slope, representing the daily rate of change of the height.b is the intercept, representing the initial height of the tree.Then, considering the table given at the end of the answer, the equation that gives the height after x days is of:
y = 2x + 10.
The possible pairs are given at the beginning of the answer, for example, on day 9, the expected height is of:
y = 2(9) + 10 = 28 in.
Missing InformationThe table is given by the image shown at the end of the answer.
The problem is incomplete, hence the pairs were calculated considering the table at the end of the answer. For a different table, you should follow the same procedure, identifying the equation and then testing the pairs.
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124.6135grams to the nearest kilogram
Answer: The correct answer is 0.1246135 kilograms
Step-by-step explanation:
1,000 grams = 1 kilogram
Therefore 124.6135 grams / 1000 = 0.1246135 kilograms
Answer:
124.6135 grams to the nearest kilogram would be none if you want to round how you are supposed to, or one if round to the next number up.
Step-by-step explanation:
What is 124.6135 grams compared to kilograms? Well, it's simple. A single kilogram has kilo in it. Kilo is a prefix meaning thousand, so therefor, a kilo gram is a thousand grams. since you have 124.6135 grams if you divide that by a thousand, you get 0.1246135. And using the rounding rule five or more, raise the score, four or less, let it rest; 1 is less than four so it would be zero.
to be considered abnormal height a 20 year old must be 2.1 feet below average or 2.1 feet above average. if the average height is 5.8 feet, at what heights (in interval notation) would a 20 year old be considered abnormal?
A 20 year old has height below 3.7 feet and above 7.9 feet then 20 year old be considered abnormal.
The average height means that the given population determined by the interaction between the environment in which it lives and the resources it commands.
Abnormal means diffrent from what is normal or usual, in a way that worries you or that is unplesant.
We have given that average height is 5.8 feet.
And abnormal height a 20 year old must be 2.1 feet below average height or 2.1 feet above average height.
Therefore 5.8 - 2.1 = 3.7 feet
5.8 + 2.1 = 7.9 feet
Hence height below 3.7 feet abd above 7.9 feet is considered to be abnormal.
That means [-∞ , 3.7] and [7.9,∞] is considered to be abnormal height for 20 year old man.
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i need this answer asap
The equation to find the value of x is x² - x - 4 = 0
How to represent the area and perimeter of a sandbox with an equation?The dimension of a sand box can be represented as (x + 2) inches and (x + 1) inches. The value of the area in square inches of the sandbox is equal to the value of the perimeter of the sandbox in inches.
Therefore, the equation that can be used to find the value of x can be express as follows:
Hence,
area of the sandbox = (x + 2)(x + 1)
area of the sandbox = x² + x + 2x + 2
area of the sandbox = x² + 3x + 2
Perimeter of the sandbox = 2(x + 2 + x + 1)
Perimeter of the sandbox =2(2x + 3)
Perimeter of the sandbox = 4x + 6
Therefore,
x² + 3x + 2 = 4x + 6
x² + 3x - 4x + 2 - 6 = 0
Hence, the equation is x² - x - 4 = 0
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Ander add 8. 84 and 62. 5, but he make an error in hi work. Decribe hi mitake and how the correct addition
The correct addition of two decimal points is 71.34
What is Decimal Addition ?Finding the total of two or more decimal numbers is known as adding decimals. Even though adding decimals is comparable to adding whole numbers regularly, there are specific rules that must be followed.
According to the given information
We are given that
The given decimal digits are 8.84 and 62.5
The way Ander added the decimal values
8.84
+62.5
150.9
The mistake in his addition is that he did not put decimal below decimal according to the rule
So,
The correct Addition is
8.84 + 62.5 = 71.34
The correct addition of two decimal points is 71.34
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