Answer:
Pythagorean Theorum:
16ft
Step-by-step explanation:
pythagorean theorum states a^2+b^2=c^2
it only works for right triangles, c is the hypotenuse, a and b are the legs
so to find b we plug in the info we have!
7.8^2+b^2=17.8^2
next we simplify:
60.84+b^2= 316.84
subtract 60.84 from both sides to isolate the variable:
b^2=256
square root both sides
b=16
16ft is the answer
I hope this helps!
find the value of x?
Answer:
90
Step-by-step explanation:
90 degrees minus 35 degrees equals 65 degrees
You are charged $9.2 in total for a meal. Assuming that the local sales tax is 7.7%, what was the menu price of this item?
Answer:
9.91
Step-by-step explanation:
Researchers doing a study comparing time spent on social media and time spent on studying randomly sampled 200 students at a major university. They found that students in the sample spent an average of 2.3 hours per day on social media and an average of 1.8 hours per day on studying. If all the students at the university in fact spent 2.2 hours per day on studying, with a standard deviation of 2 hours, the sampling distribution of the time spent studying has approximate distribution
Answer:
The sampling distribution of the time spent studying has an approximately normal distribution, with mean 2.2 and standard deviation 0.1414.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Each student:
Mean of 2.2 hours, standard deviation of 2 hours.
Sampling distribution of the time spent studying has approximate distribution
Sample of 200.
By the Central Limit Theorem,
Approximately normal
Mean 2.2
Standard deviation [tex]s = \frac{2}{\sqrt{200}} = 0.1414[/tex]
The sampling distribution of the time spent studying has an approximately normal distribution, with mean 2.2 and standard deviation 0.1414.
pls help me math its due today
Answer:
For multiplication you added the exponents and for division you minus the exponents
Answer:
kdkdjdduidddsisiodiod
jojo makes 100 working eight hours. Trish earned 25 working one hour. How much more money does Trish make than Jojo after 10 hours?
Answer:
Jojo makes 1000 and Trish makes 250
Step-by-step explanation:
I hope this helped
Answer:
Trish makes $125 more than Jojo after 10 hours
Step-by-step explanation:
$125 jojo
$250 Trish
Will the sum of 56+ (-56) be Positive negative or zero
Answer:
zero
Step-by-step explanation:
56+(-56),thus
the negative overcomes the positive,
56-56
0
A robot's height is 120 centimeters. How tall is the robot in millimeters? Record your answer and fill in the bubbles on your answer document, Be sure to use the correct place value.
Please help!!! Will award BRAINLIEST to best answer!!!
If 12a + 3b = 1 and 7b - 2a = 0, what is the average a and b?
Answer: 1/4
Step-by-step explanation:
If you add the equations:
12a + 3b = 1
-2a + 7b = 0
------------------- (you get):
10a + 10b = 1 (divide by 10)
a + b = 1/2 (divide by 2 since average of two numbers is their sum divided by 2)
(a + b) / 2 = 1/4
Answer: 0.05
Step-by-step explanation:
1. 12a+3b=1
a= (1-3b)/12
2. 7b-2a=0
7b-2((1-3b)/12)
b=1/45
a=(1-3b)/12=(1-3(1/45))/12=7/90
Lastly: (7/90+1/45)/2=0.05
Find the solutions to x2 = 18.
O A.
- +32
B. X = +63
O c. X = +376
O D. X = +2/3
Answer:
what in the math equations is this???
Step-by-step explanation:
Find the average rate of change of the function f(x) = -1x^2-7x-8 over the interval (1, 3).
Answer:
[tex]\displaystyle -11[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Interval NotationAverage Rate of Change: [tex]\displaystyle \displaystyle \frac{f(b) - f(a)}{b - a}[/tex]Step-by-step explanation:
Step 1: Define
f(x) = -x² - 7x - 8
(1, 3) → a = 1, b = 3
Step 2: Find Average Rate
Substitute in variables [Average Rate of Change]: [tex]\displaystyle \displaystyle \frac{f(3) - f(1)}{3 - 1}[/tex][Change] Substitute in function: [tex]\displaystyle \displaystyle \frac{[-(3)^2 - 7(3) - 8] - [-(1)^2 - 7(1) - 8]}{3 - 1}[/tex][Change] [Fraction] [Brackets] Evaluate exponents: [tex]\displaystyle \displaystyle \frac{[-9 - 7(3) - 8] - [-1 - 7(1) - 8]}{3 - 1}[/tex][Change] [Fraction] [Brackets] Multiply: [tex]\displaystyle \displaystyle \frac{[-9 - 21 - 8] - [-1 - 7 - 8]}{3 - 1}[/tex][Change] [Fraction] [Brackets] Subtract: [tex]\displaystyle \displaystyle \frac{[-38] - [-16]}{2}[/tex][Change] [Fraction] [Distributive Property] Distribute negative: [tex]\displaystyle \displaystyle \frac{-38 + 16}{2}[/tex][Change] [Fraction] Add: [tex]\displaystyle \displaystyle \frac{-22}{2}[/tex][Change] [Fraction] Divide: [tex]\displaystyle -11[/tex]Answer:
Step-by-step explanation:
-1x^2-7x8
-1x^2-7x+8
-1x+8-7x
+1x +1x
----- ------
X -7x
8 -7x
---- -----
+7 +7
---- -----
15 1x/x
15 1x
---- -----
1 X
X=15
Before you do the actual work you have to study your times table that way it helps you to be fast and it will help you to work good underpressure when it comes to integers.
What you do to one side you do to the other.
4(x + 3) + 2x = 6(x + 2)
Answer:
answer is 0
Step-by-step explanation:
a box contains 24 balls , some of which are red, some of which are green , and the rest are blue . the probabilities of drawing a red ball and a green ball at random from the box are 1\3 and 1\6 respectively . find the number of blue balls in the bag.
Step-by-step explanation:
I think it's 15 but I'm not sure
factorize by splitting the middle term 6x-11x+4
Answer: (2x - 1)(3x - 4)
(split -11x as -8x and -3x)
Step-by-step explanation:
I am assuming that it is actually 6x^2 - 11x + 4
To find out how to split the middle term: The two numbers should multiply to a*c (6*4 = 24) and add to b (-11)
-8, -3 works
(6x^2 - 8x) + (-3x + 4)
2x(3x - 4) + -1(3x - 4)
(2x - 1)(3x - 4)
4/5 - 2/3 =
Find equivalent fractions and rewrite the problem and solve
Answer:
1001/1500
Step-by-step explanation:
The easiest method for doing this is to just average the two numbers.
e.g. to find a number x between the two numbers ab and cd
x=12[ab+cd]
=12[adbd+bcbd]
=ad+bc2bd
In this case…
x=(2×5)+(3×4)2×2×5=10+1230=2230=1115
You can easily see where that came from.
23=1015 and 45=1215
and the ‘common denominator’ means you just have to pick a value between 10 and 12 . i.e. 11
But you can also say…
23=100150 and 45=120150
and choose any of 101150,102150,...,119150
or
23=10001500 and 45=12001500
and choose any of 10011500,10021500,...,11991500
Answer:4/5 and 2/3 each have a common bottom of 15 so 4/5 is
12/15 and 2/3 will be 10/15
Step-by-step explanation:So than 12/15 forget the bottom don't subtract the bottom just look at it like [12-10] then you got 2 then you go back to the bottom and put it together so your answer is [2/15]
Find the missing side in the right triangle. Round to the nearest hundredth.
14
9
х
Answer:
hope it helps it is donr by using pythogorous theorem
The third side of the right triangle is 10.72 unit.
What is Pythagoras theorem?Pythagoras' Theorem states that the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides.
Given, the side of right triangle is;
Let H be hypotenuse = 14
And P be perpendicular = 9
Then to find third side base be B,
we use the Pythagoras theorem;
(H)² = (P)²+(B)²
Rearranging,
(B)² = (H)² - (P)²
(B)² = (14)² - (9)²
(B)² = 196 - 81
(B)² = 115
B = 10.72 unit.
Therefore, the third side is 10.72 unit.
To learn more about the Pythagoras theorem;
https://brainly.com/question/343682
#SPJ2
A city planner is studying the need for affordable housing in the city's Urban Planning Department. He learned from the census of all 75,342 households in the city that the median family income is $65,000, with an average of 2.9 persons-per-household, and 88% live in a single household unit. Previously, the planner had surveyed a group of 400 randomly selected households in the city. The surveyed households had a median family income of $52,000, an average of 3.2 persons per household, and 80% lived in a single household unit. 2
(a) For city planner's survey, identify the population and the sample,
Population: (Choose one)
Sample: (Choose one)
(b) Choose whether each number described below is a parameter or a statistic for the city planner's survey,
Number Parameter Statistic
The 80% of the group of randomly selected households that live in a single household unit
The average of 2.9 personer household of all the households in the city The $65,000 median family income of all the households in the city At a TV assembling facility, the Quality Assurance (QA) department tested a random selection of 600 TV's assembled in March.
Answer:
Population = 75,342 households
Sample = 400 randomly selected households
The percentage who live in a single household unit = Parameter
The average of 2.9 person per household of all households in the city = parameter
The $65,000 median family income of all the households in the city = Parameter
Step-by-step explanation:
The population refers to all the entire elements, observations or subject which fits into a particular study. In the scenario above, the entire household in the city of study. That is, the 75,342 households.
The sample is the subset of the population which is a smaller set of observation meant to be representative of the larger population. The sample here is the 400 randomly selected households.
Parameter differs from statistics in that numerical estimates or calculations obtained from the population is called the parameter while the numerical characteristics derived from the sample is called statistic.
In this exercise we have to use the knowledge of probability to calculate the chances of choosing a TV approved by the quality control, so:
400 randomly selected households
So, based on the information given in the statement, we have:
Population = 75,342 householdsSample = 400 randomly selected householdsSome parameters for this equation are:
The percentage who live in a single household unit The average of 2.9 person per household of all households in the cityThe $65,000 median family income of all the households in the cityThe inhabitants of a place refers to all the complete essential feature, attention or subject that fits into the study. In the sequence of events above, the complete household fashionable the city of study. That is, the 75,342 households.
The sample exist the subset of the inhabitants of a place that exist a tinier set of comment on something scrutinized intend expected representative of the best inhabitants of a place. The sample in this place happen the 400 carelessly picked households.
See more about statistics at brainly.com/question/10951564
how are 2-D and 3-D objects related to each other in real world
Answer:
You can see 2-D flat shapes on the faces of 3-D objects.
For example: You go to the store and you see a box,
the box has 6 faces. The bottom of the box is one of It's faces which is 2-D.
Step-by-step explanation:
Can anyone help with 11-15?
Answer:
11. 1/3
12. 2/5
13. 1/4
14. 1/5
15. 1/3
Step-by-step explanation:
Divide by GCF
ASAP!! Find the length of side x in simplest form with a rational denominator
Answer:
[tex]x=\sqrt{14}[/tex]
Step-by-step explanation:
This triangle is a 45-45-90 triangle.
By using the image I posted, we can find x easily.
So, we have [tex]\sqrt{7}[/tex] as one of the sides.
They hypotenuse, which is x is just [tex]\sqrt{7} \sqrt{2}[/tex]
Simplify and we get x = [tex]\sqrt{14}[/tex]
A bag of candies contains 5 red candies, 7 purple candies, and 3 green candies. What is the probability that a candy picked
at random is green?
Answer:
P(E) = 1/3
Step-by-step explanation:
Given that,
Red candies = 5
Purple candies = 7
Green candies = 3
We need to find the probability that a candy picked at random is green.
The probability of getting an event is given by :
P(E) = favorable outcomes/total no of outcomes
Probability of getting a green candy,
P(E) = 5/(5+7+3)
P(E) = 5/15
P(E) = 1/3
Hence, the required probability is (1/3).
Find the range of the data in the box plot below.
cokies
Number of cookies eaten
by each contestant
Answer:
20 cookies
Step-by-step explanation:
Range of a data set plotted on a box plot = the maximum value - the minimum value
The maximum value is indicated by the whisker to your extreme right = 25
The minimum value is indicated by the whisker to your extreme left = 5
Range = 25 - 5 = 20
What is the area of this circle? Use 3.14 for π
Question 7 options:
530.66 cm squared
81.64 cm squared
2122.64 cm squared
849.56 cm squared
Answer:
530.66 cm squared
Step-by-step Explanation:
Diameter of the circle = 26 cm
Radius of the circle (r) = 26/2 = 13 cm
[tex]A_{circle} = \pi {r}^{2} \\ \\ A_{circle} = 3.14 \times {(13)}^{2} \\ \\ A_{circle} = 3.14 \times 169 \\ \\ A_{circle} =530.66 \: {cm}^{2} [/tex]
Answer:
The area of 530.66 cm squared.
Option (a) 530.66 cm² is the correct answer.
Step-by-step explanation:
Given :
Diameter of circle = 26 cm.To Find :
Radius of circle Area of circleUsing Formulas :
[tex]\star{\small{\underline{\boxed{\sf{\red{R = \dfrac{D}{2}}}}}}}[/tex]
R = Radius D = Diameter[tex]\star{\small{\underline{\boxed{\sf{\red{Area_{(Circle)} = \pi{r}^{2}}}}}}}[/tex]
π = 3.14 r = radiusSolution :
Finding the radius of circle by substituting the values in the formula :
[tex]{\longrightarrow{\sf{Radius = \dfrac{D}{2}}}}[/tex]
[tex]{\longrightarrow{\sf{Radius = \dfrac{26}{2}}}}[/tex]
[tex]{\longrightarrow{\sf{Radius = \cancel{\dfrac{26}{2}}}}}[/tex]
[tex]{\longrightarrow{\sf{Radius = 13}}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{Radius = 13 \: cm}}}}}[/tex]
Hence, the radius of circle is 13 cm.
[tex]\rule{200}2[/tex]
Now, finding the area of circle by substituting the values in the formula :
[tex]{\longrightarrow{\sf{Area_{(Circle)} = \pi{r}^{2}}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Circle)} = 3.14 \times {(13)}^{2}}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Circle)} = \dfrac{314}{100} \times {(13 \times 13)}}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Circle)} = \dfrac{314}{100} \times 169}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Circle)} = \dfrac{314 \times 169}{100}}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Circle)} = \dfrac{53066}{100}}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Circle)} = 530.66}}}[/tex]
[tex]\star{\small{\underline{\boxed{\sf{\red{Area_{(Circle)} = 530.66 \: {cm}^{2}}}}}}}[/tex]
Hence, the area of circle is 530.66 cm².
[tex]\rule{300}{1.5}[/tex]
Select the correct answer.
The equation of a line is y = -3x – 2. What are the slope and the y-intercept of the line?
A.
slope = -3 and y-intercept = 2
B.
slope = 3 and y-intercept = -2
C.
slope = 3 and y-intercept = 2
D.
slope = -3 and y-intercept = -2
Answer:
The answer is D slope = -3 y-intercept = -2
Step-by-step explanation:
Answer
D.
Step-by-step explanation:
The first part of the equation is -3 and the second part is -2. The number attached to the variable is the "slope" and the number coming after the variable is the y intercept.
2+3=8,
3+7=27,
4+5=32,
5+8=60,
6+7=72,
7+8=??
Solve it
Answer:
98
2+3=2*[3+(2-1)]=8
3+7=3*[7+(3-1)]=27
4+5=4*[5+(4-1)]=32
5+8=5*[8+(5-1)]=60
6+7=6*[7+(6-1)]=72
therefore
7+8=7*[8+(7-1)]=98
x+y=x[y+(x-1)]=x^2+xy-x
Answer:
2*3 + 3* 7 = 27
4*3 + 5* 4 = 32
....
7*6 + 8*7 = 98
or it could be :
2+3-1 = 5 -1 = 4 *2 = 8
3+7-1 = 10-1 = 9 *3 = 27
4+5-1 = 9-1 = 8 * 4 = 32
5+8-1 = 13-1 = 12 * 5 = 60
6+7-1 = 13-1 = 12 *6 = 72
7+8-1 = 15-1 = 14*7 = 98
Step-by-step explanation:
prove that:
[tex] |x \: y \: z \\ {x \: {y \\ {z \\ yz \: zx \: xy = (y - z) \: (z - x) \: (x - y) \: (xy + yz + zx)}^{2} }^{2} }^{2} | [/tex]
Answer:
???
Step-by-step explanation:
moris code?
Answer:
c, none of the above
Step-by-step explanation:
khan
find square root of 82369 by division method step by step
Answer:
I think this ans may help you
I need help fast i apericiate it my guy
Answer: 59
Step-by-step explanation:
Answer:
I think it's letter b.29
What is the solution of x = 2 + StartRoot x minus 2 EndRoot?
Answer:
x= 2 or x=3
Step-by-step explanation:
Both satisfy the equation. I hope this helped.
Answer:
x=2 or x=3
Step-by-step explanation:
just took the test it is C
The perimeter of a triangle is 17 inches. One side is 5 inches, and another is 4 inches. What is the length of the third side?
Answer:
8inches
Step-by-step explanation:
Length of the third side = perimeter - ( side1 + side2 )
= 17 - (5+4)
= 17 - 9
= 8 inches
A total of 472 tickets were sold. They were either adult tickets or student tickets. The number of student tickets were 3 times tge number of adult tickets sold. How many adult tickets were sold?
Answer:
adult tickets = 118
student tickets = 354
Step-by-step explanation:
a = number of adult tickets
s = number of student tickets
a + s = 472
3a = s
substitute for s
a + 3a = 472
reduce
4a = 472
divide by 4
4a/4 = 472/4
a = 118
s = 354