Answer:
-47/8.
Step-by-step explanation:
If the line has a slope of -1/8, that means the equation y = mx + b will be y = -1/8x + b.
In this case, we are given a point: (9, -7). That means that x = 9 and y = -7.
-7 = (-1/8)(9) + b
b - 9/8 = -7
b = -56/8 + 9/8
b = -47/8 = -5.875 = -5 and 7/8, which is your y-intercept!
Hope this helps!
Adam has the difference between two-thirds of bretts book and two thirds of charlies books.If brett has 72 books and charlie has 72 books how many books does adam have
Answer:
48
Step-by-step explanation:
Adam has 2/3 of books that brett and charlie have : 2/3 of 72 wich is 48
If there is an x find the value of it if not explain what needs to be given
Answer:
x value is 7
the answer is 7
Question 1(Multiple Choice Worth 5 points) (07.02 LC) Celine is playing a game at the school carnival. There is a box of marbles, and each box has a white, a green, a blue, and an orange marble. There is also a fair 12-sided die labeled with the numbers 1 through 12. How many outcomes are in the sample space for pulling a marble out of the box and rolling the die? 48 32 16 8
Answer: 48
Step-by-step explanation:
Given, A box has a white, a green, a blue, and an orange marble.
Total possible outcomes of pulling marbles = 4
There is also a fair 12-sided die labeled with the numbers 1 through 12.
Total possible outcomes of rolling the die = 12
By Fundamental counting principle , we have
Possible outcomes are in the sample space for pulling a marble out of the box and rolling the die = (Total possible outcomes of pulling marbles ) x (Total possible outcomes of rolling the die)
= 4 x 12
= 48
Hence, the correct answer is "48".
Please answer answer question
Answer:
156.6 m²
Step-by-step explanation:
To find the surface area of this pyramid, we need to find the area of the base and the sides.
The base triangle has a length of 9 and a height of 7.8. So:
[tex]\frac{bh}{2} = \frac{9\cdot7.8}{2} = \frac{70.2}{2} = 35.1[/tex]
Now, the length of the sides are 9 and the height is 9. So:
[tex]\frac{9\cdot9}{2} = \frac{81}{2} = 40.5[/tex]
Since there are 3 identical sides:
[tex]40.5\cdot3=121.5[/tex]
Add the values:
[tex]121.5+35.1=156.6[/tex]
Hope this helped!
What is the radical equivalent for 197^7/8?
Answer:
[tex]\sqrt[8]{197^{7} }[/tex]
Step-by-step explanation:
[tex]\sqrt[8]{197^{7} }[/tex]
What is the equation of a circle centered at (1,-4) and a diameter 18?
Answer:
(x - 1)² + (y + 4)² = 81
Step-by-step explanation:
Circle Formula: (x - h)² + (y - k)² = r²
(h, k) is the center
2r = d
Step 1: Find r
18 = 2r
r = 9
Step 2: Plug known variables into formula
(x - 1)² + (y + 4)² = 9²
Step 3: Evaluate
(x - 1)² + (y + 4)² = 81
Answer:
(x-1)^2 + (y+4)^2 = 81
Step-by-step explanation:
The equation of a circle can be written as
(x-h)^2 + (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
The center is ( 1,-4)
and the radius is d/2 = 18/2 = 9
(x-1)^2 + (y- -4)^2 = 9^2
(x-1)^2 + (y+4)^2 = 81
In politics, marketing, etc. We often want to estimate a percentage or proportion p. One calculation in statistical polling is the margin of error - the largest (reasonble) error that the poll could have. For example, a poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% (72% minus 4% to 72% plus 4%). In a (made-up) poll, the proportion of people who like dark chocolate more than milk chocolate was 32% with a margin of error of 2.2%. Describe the conclusion about p using an absolute value inequality.
Answer: |p-72% |≤ 4%
Step-by-step explanation:
Let p be the population proportion.
The absolute inequality about p using an absolute value inequality.:
[tex]|p-\hat{p}| \leq E[/tex] , where E = margin of error, [tex]\hat{p}[/tex] = sample proportion
Given: A poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% .
|p-72% |≤ 4%
⇒ 72% - 4% ≤ p ≤ 72% +4%
⇒ 68% ≤ p ≤ 76%.
i.e. p is most likely to be between 68% and 76% (.
The conclusion about p using an absolute value inequality is in the range of 29.8% to 34.2%.
What is absolute value inequality?An expression using absolute functions and inequality signs is known as an absolute value inequality.
We know that the absolute value inequality about p using an absolute value inequality is written as,
[tex]|p-\hat p| \leq E[/tex]
where E is the margin of error and [tex]\hat p[/tex] is the sample proportion.
Now, it is given that the poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76%. Therefore, p can be written as,
[tex]|p-0.72|\leq 0.04\\\\(0.72-0.04)\leq p \leq (0.72+0.04)\\\\0.68 \leq p\leq 0.76[/tex]
Thus, the p is most likely to be between the range of 68% to 76%.
Similarly, the proportion of people who like dark chocolate more than milk chocolate was 32% with a margin of error of 2.2%. Therefore, p can be written as,
[tex]|p-\hat p|\leq E\\\\|p-0.32|\leq 0.022\\\\(0.32-0.022)\leq p \leq (0.32+0.022)\\\\0.298\leq p\leq 0.342[/tex]
Thus, the p is most likely to be between the range of 29.8% to 34.2%.
Hence, the conclusion about p using an absolute value inequality is in the range of 29.8% to 34.2%.
Learn more about Absolute Value Inequality:
https://brainly.com/question/4688732
Which point represents the opposite of 0 on the number line? A B C D E
Answer:
C: 0
Step-by-step explanation:
Let's use 1 for an example first. The opposite of 1 is -1. 2 = -2, 3 = -3, and so on. Since there is no such thing as -0, our answer would be C, 0. It is not -5, -2, 2, or 7 because those are not the negatives of 0.
Look at each pattern.
Identify the rule for each pattern.
Pattern A: 0, 3, 6, 9, 12, 15, 18,...
Pattern B: 0, 12, 24, 36, 48, 60, 72, ...
Answer:
pattern A is going by 3
pattern B is going by 12
Step-by-step explanation:
so you basically just have to add 3 for pattern a and add 12 for pattern B for each number
Find the probability distribution for the following function: P(x)=x/2+1 for x=4,6, and 8
Write the equation of the line that passes through the points (3, -7) and (-6, -13)
Answer:
-18 y + 91 y = 73 y
(3, -7) y (-6, -13)
{-18 y, 91 y}
Geometry, please answer question ASAP
Answer:
I'm going to say A and B (I think)
find the five rational number lying between square of 5/6 and 6/7
Answer:
71/84
Step-by-step explanation:
Answer:
1229/1764, 1231/1764, 179/252, 1255/1754 and 185/252.
Step-by-step explanation:
(5/6)^2 = 25/36
(6/7)^2 = 36/49
LCM of 36 and 49 is 1764
So 25/36 = 25 * 49 / 1764 = 1225/1764
and 36/49 = 36 * 36 / 1764 = 1296/1764
So the 5 rational numbers could be:
1229/1764, 1231/1764, 1253/1764 ( = 179/252), 1255/1764 and 1295/1764 (= 185/ 252).
What is the volume of this rectangular prism?
3 cm
cm
1
cm
Answer:
.75cm³
Step-by-step explanation:
To find the volume of a shape like this it is,
base×height×width.
In this case it is .5×.5×3=.75cm³
Answer:
3/4 or 0.75
Step-by-step explanation:
Length times width times height:
1/2 * 1/2 * 3
= 3/4
which of the following functions are an example of exponential decay???
Answer:
C. II only
Step-by-step explanation:
iyzgkxhldlufulduo
3/4a-1/6=2/3a+1/4? Please i need help!!!!
Answer: a=5
Step-by-step explanation:
1/12a=10/24
24a=120
a= 5
5[tex]5^{56} x 5^{22} x 5^{-96}[/tex]
Answer:
[tex] \frac{ {11}^{56} }{ {5}^{18} } [/tex]
Step-by-step explanation:
[tex] {55}^{56} \times {5}^{22} \times {5}^{ - 96} [/tex]
[tex] = {55}^{56} \times {5}^{ - 74} [/tex]
[tex] = {11}^{56} \times {5}^{56} \times \frac{1}{ {5}^{74} } [/tex]
[tex] = {11}^{56} \times \frac{1}{ {5}^{18} } [/tex]
[tex] = \frac{ {11}^{56} }{ {5}^{18} } [/tex]
3.What mathematical property is used to get the resulting
expression for each line? Complete the table below.
Line 1: (7 + 10x) + 3
Line 2:
(10x + 7) + 3
Line 3:
10x + (7 + 3)
Line 4:
10x + 10
Answer:
what is the condition of loss ?1)sp>mp 2)CP>sp 3) sp>CP 4)mp>spThe UN has 4 main purposesTo keep peace throughout the world;To develop friendly relations among nations;To help nations work together to improve the lives of poor people, to conquer hunger, disease and illiteracy, and to encourage respect for each other’s rights and freedoms;To be a centre for harmonizing the actions of nations to achieve these goals
Principles of United Nations
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These principles include the equality and self-determination of nations, respect of human rights and fundamental freedoms and the obligation of member countries to obey the Charter, to cooperate with the UN Security Council and to use peaceful means to resolve conflicts.
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A word where two vowels together blend their sound is a vowelrahim was getting his house build. He shared the design with his friend Anas. Anas pointed out that there were no ventilators in his house. What is your opinion Are the ventilators important? Why? What quality of Anas is evident in this case?
apakah itu nombor jujukan ?
Answer:
Sequence number is a list of numbers that are linked by rule.
Given: ABCD is a parallelogram.Prove: m∠A + m∠B + m∠C + m∠D = 360˚By the definition of a parallelogram, AD∥BC and AB∥DC. Using, AD as a transversal, ∠A and ∠ are same-side interior angles, so they are . By the definition of supplementary, m∠A + m∠D = 180. Using side as a transversal, ∠B and ∠C are same-side interior angles, so they are supplementary. By the definition of supplementary, m∠B + m∠C = 180. So, m∠A + m∠D + m∠B + m∠C = 180 + 180 by the property. Simplifying, we have m∠A + m∠B + m∠C + m∠D = 360˚.1) D2) Supplementary3) BC4) Addition
Answer:- D
- Supplementary
- BC
- Addition
Step-by-step explanation:
A telephone long distance carrier charges customers $0.99 for the first 10 minutes and then $0.09 for each minute beyond 10 minutes. If Mary uses this carrier, how long can she talk for $5.00
Answer:
5 minutes
Step-by-step explanation:
5 * $0.99 = $4.95
5. Solve the differential equation y" - 5y "+7y'-3y=0.
The differential equation
y''' - 5y'' + 7y' - 3y = 0
has characteristic equation
r ³ - 5r ² + 7r - 3 = (r - 3) (r - 1)² = 0
with roots at r = 3 and r = 1 (with multiplicity 2), so that the characteristic solution to the DE is
y = C₁ exp(3x) + C₂ exp(x) + C₃ x exp(x)
simplify [tex]x^{2} - x - 12[/tex]
Answer:
Step-by-step explanation:
x2 - x - 12
x2 - 4x + 3x - 12
x(x - 4) + 3(x - 4)
(x - 4) (x+ 3)
-4 + 3 will make -1 for -1x
-4 x 3 will make -12
Thus, the factored form will be (x-4)(x+3)
Evaluate the expression when a= 5 and x= -2 -a+6x Thankyou ! !
Answer:
[tex]\boxed{-17}[/tex]
Step-by-step explanation:
Hey there!
If x is -2 and a is 5 then we can plug those in,-a + 6x.
-(5) + 6(-2)
-5 + -12
= -17
Hope this helps :)
A Food Marketing Institute found that 31% of households spend more than $125 a week on groceries. Assume the population proportion is 0.31 and a simple random sample of 373 households is selected from the population. What is the probability that the sample proportion of households spending more than $125 a week is less than 0.33
Answer:
0.7967
Step-by-step explanation:
We know that population proportion p=0.31.
We have to find P(phat<0.33).
Mean=p=0.31
[tex]Standard deviation=\sqrt{\frac{p(1-p)}{n} }[/tex]
[tex]Standard deviation=\sqrt{\frac{0.31(0.69)}{373} }[/tex]
standard deviation=0.024 (rounded to three decimal places)
[tex]P(phat<0.33)=P(Z<\frac{0.33-0.31}{0.024})[/tex]
[tex]P(phat<0.33)=P(Z<\frac{0.02}{0.024})[/tex]
[tex]P(phat<0.33)=P(Z<0.83)[/tex]
[tex]P(phat<0.33)=0.5+0.2967[/tex]
[tex]P(phat<0.33)=0.7967[/tex]
Thus, the required probability that sample proportion of households spending more than $125 a week is less than 0.33 is 79.67%
last one hopefullly hahah
you are correct. all angles (except central) are not equal (iff TU and CB are not parallel)
the triangles are not similar
Answer:
it's A
They don't give you enough information to determine if they are similar or not
Please answer the question in the image below ASAP
Answer:
Option A Center: 2,-3 radius =5Step-by-step explanation:
[tex](x-h) ^2+(y-k) ^2 =r^2[/tex]
The above equation is the general standard equation for the circle centered at (h,k) with radius r
Given that the equation of the circle is
[tex](x-2) ^2+(y+3) ^2 =25[/tex]
Comparing this with the general equation we can get the center and the radius as
[tex](x-h) ^2+(y-k) ^2 =r^2\\(x-(2)) ^2+(y-(-3)) ^2 =5^2[/tex]
We can now see that
h= 2
k= -3 and
r= 5
What is the perimeter of a square with an area of 441 cm2? A) 21 cm B) 42 cm C) 56 cm D) 84 cm
Answer:
D) 84cm
Step-by-step explanation:
Square area = √(441cm²) = 21 cm
perimeter = 4*21 = 84 cm
For the given figure, justify the statement ∠1 ≅ ∠2
Answer:
JUSTIFICATION↓
∠1 ≅ ∠2 (∵ Vertically-opposite angles are equal)
Step-by-step explanation:
Since ∠1 lies vertically opposite to ∠2 and vice -versa , therefore ∠1 and ∠2 are equal to each other
you are working with a 30-60-90 right triangle. its longer leg measures 6. What is the length of the hypotenuse
Answer:
4sqrt(3) = 6.928
Step-by-step explanation:
Ratio of the lengths of the sides of a 36-60-90 triangle:
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
The short leg is sqrt(3) times shorter than the long leg.
The hypotenuse is twice the short leg.
long leg = 6
short leg = 6/sqrt(3)
hypotenuse = 12/sqrt(3)
12/sqrt(3) * sqrt(3)/sqrt(3) = 12sqrt(3)/3 = 4sqrt(3)