Answer:
All are not mutually exclusive events
4. Find the area of the triangle.
9 km
16 km
Answer:
72
Step-by-step explanation:
Triangle area formula: A = 1/2 (B) (H)
This means the area of a triangle is half of the base times the height.
So we can plug the numbers into the formula:
A = 1/2 (16) (9)
16 x 9 is 144, divided by 1/2 is 72.
Final answer 72.
II. A political pollster wants to know what proportion of voters are planning to vote for the incumbent candidate in an upcoming election. A poll of 150 randomly selected voters is taken, and 78 of those selected plan to vote for the incumbent candidate. Construct a 90% confidence interval for the proportion of all voters who plan to vote for the incumbent candidate.
a
(0.02709, 0.09291)
b
(0.4529, 0.5871)
c
(0.02131, 0.09869)
d
(0.0309, 0.0691)
There are 9 new books and 5 used books on a shelf.
(a) What is the ratio of all books on the shelf to used books?
(b) What is the ratio of new books to all books on the shelf?
Answer:
A- 14:5
B - 9:14
Step-by-step explanation:
Hope this helps!!!
Question 8 (1 point)
Find the perimeter of the triangle.
Answer:
D
Step-by-step explanation:
its the closest to the answer i got so that must be it
For each value of x determine whether it is a solution
Hey !
Question :For each value of x determine whether it is a solution to 45 = -9 ( x + 5 )
Given :In the question we have given an equation i.e. :
45 = -9 ( x + 5 )In the question values of x are also given i.e. :
5-71-4To Determine :In this question we have to determine whether given value of x are solution fo the given equation or not .
How we have to solve this question :We are solving this question by substituting given value of x in the equation if equation satisfied then it means that the value for x is solution of the equation .
So Let's get started :1) Value of x as 5 :
45 = -9 ( x + 5 ) ( Given Equation )Now substituting value of x as 5 :
45 = -9 ( 5 + 5 )45 = -9 ( 10 )45 = -90But , 45 is not equal to -90Therefore , 5 is not the solution for equation .
2) Value of x as -7 :
45 = -9 ( x + 5 ) ( Given Equation )Now substituting value of x as -7 :
45 = -9 ( -7 + 5 )45 = -9 ( -2 )45 = 18But , 45 is not equal to 18Therefore , -7 is not the solution for equation .
3) Value of x as 1 :
45 = -9 ( x + 5 ) ( Given Equation )Now substituting value of x as 1 :
45 = -9 ( 1 + 5 )45 = -9 ( 6 )45 = -54But , 45 is not equal to -54Therefore , 1 is not the solution for equation .
4) Value of x as -4 :
45 = -9 ( x + 5 ) ( Given Equation )Now substituting value of x as -4 :
45 = -9 ( -4 + 5 )45 = -9 ( 1 )45 = -9But , 45 is not equal to -9Therefore , -4 is not the solution for equation .
So ,In there is no proper value of x that can be solution of the given equation .[tex] Keep \: Learning[/tex]
Write the point-slope form of a line that has slope −7 and passes through the point (4, 8)
Answer:
y = -7x + 36
Step-by-step explanation:
Point-slope form: y - y1 = m(x - x1)
y1 = y-value of a point on a linem = slopex1 = x-value of a point on a lineSubstitue 8 for y1, and 4 for x1, and -7 for m:
y - y1 = m(x - x1)
y - 8 = -7(x - 4)
Solve:
y - 8 = -7(x - 4) <== distribute -7
y - 8 = -7x + 28 <== add 8 to both sides
+ 8 + 8
y = -7x + 36
Therefore, the point-slope of the line is y = -7x + 36
Check your answer using (4, 8):
y = -7x + 36
8 = -7(4) + 36
8 = -28 + 36
8 = 8
This statement is correct
Hope this helps!
i need help asap this is k 12 and 100 points
Answer:
6.8
Step-by-step explanation:
Add the numbers and divide by the amount of numbers and get 6.8
Answer: 6.8.
Step-by-step explanation: When finding the mean of a data set, you need to add all the numbers of the set, and then divide the answer by however many numbers you have on the data set. The work is done below:
14 + 7 + 2 8 + 3 = 34.
34 / 5 = 6.8, because there are 5 numbers in the data set.
Have a great day! :)
In the accompanying diagram of a unit circle, the ordered pair (x, y) represents the point where the terminal side of θ intersects the unit circle. If θ = 150°, what is the value of x?
Answer:
(-[tex]\sqrt{3\\}[/tex]/2,1/2);(-x,y)
Step-by-step explanation:
use the 1, root 3, 2 trick. 150's reference angle is 30 as q2 = 180-x
1 is the opposite here, 2 is always hypotenuse, root 3 is adjacent here
x value is based on cos = CAH
it's minus because in q2 angles are (-x,y)
hope that helps
Using only 3,4&5 what equals 11
(5×3)-4 = 11
hope it helps...!!!
Answer:
(5*3)-4=11
Step-by-step explanation:
because when you multiply 5*3=15, then subtract 4 from it, it gives you 11. There are no other options becuase 5*4-3=17 and 4*3-5=16 and 5*4+3=23 and 4*3+5=17.
Find the degree of this polynomial. 19x^9-2x^6+9x^5
Answer:
Step-by-step explanation:
The degree of a polynomial is the variable (in this case 1 variable) raised to the highest power.
Look at the first term: 19x^9
The variable is x
The highest power is 9
So the answer is 9.
The table shows selected values of a piecewise defined function f(x) that increases over the intervals (-∞, 3) and (3,∞). Which of the following statements are true? Select all that apply.
help pls
Answer: B D F
Step-by-step explanation:
The statement (B), statement (D), statement (F) are true if piecewise defined function f(x) that increases over the intervals (-∞, 3) and (3,∞).
What is piecewise function?A piecewise function is one that has several curve parts in its graph.
It means that, based on the value of the input, it has countless definitions.
A piecewise function, in other words, performs differently depending on the input.
We have given a data for a piecewise function.
From the data:
[tex]\rm \lim_{n \to 3^+} f(x) = 5[/tex]
[tex]\rm \lim_{n \to 3^-} f(x) = 6[/tex]
[tex]\rm \lim_{n \to 2^+} f(x)[/tex] Does not exist because [tex]\rm \lim_{n \to 3^+} f(x)[/tex] and [tex]\rm \lim_{n \to 3^-} f(x)[/tex] are not equal.
Thus, the statement (B), statement (D), statement (F) are true if piecewise defined function f(x) that increases over the intervals (-∞, 3) and (3,∞).
Learn more about the piecewise function here:
brainly.com/question/12561612
#SPJ2
13. Use the graph of a piecewise function with three equations. 25,000 $21,197 20,000 15,000 Tax 10,000 $5.448 -5,000 $1,045. 0 80,000 20,000 $10,450 40,000 60,000 $39,800 Taxable Income 100,000 S102,800 a. A taxpayer has a taxable income of $39,800. What is her tax? b. A taxpayer will owe $21,197. What is his taxable income?
Answer:
A. $5,448
B. $102,800
If you need the rest of the parts:
C. $4,500
D. $20,500
E. $68,000
The income tax of $5,448.
The taxable income is $102,800
What is Income Tax?The tax that is imposed on all people and corporations is called income tax. The amount of individual income taxes is determined by the individual's income. Because the burden is assumed to fall on the payers, it is typically characterised as a direct tax. Corporate income tax is charged on net profits, which are determined as the difference between allowable costs and receipts.
From the graph,
it can be observed that the taxpayer who has the taxable income of $39,800 has to pay income tax of $5,448.
Also, a taxpayer owing $21,197 means that he has to pay income tax of $21,197.
His taxable income is $102,800 as shown in the graph below.
Learn more about Income tax here:
brainly.com/question/30157668
#SPJ2
A garden measures 10 ft by 10 ft.
What is the area of the garden in square inches?
Answer:
1200 sq. in.
Step-by-step explanation:
(10x10)x12=100x12=1200
The width of a rectangle with the area 55in^2 depends on its length. Write the formula that describes the width of the rectangle as a function of its length.
The width of the rectangle as a function of its length is w = 55/l
How to find the area of a rectangle?The formula for finding the area of a rectangle is expressed as:
A = lw
where
l is the length
w is the width of the rectangle
Given that A = 55 square inches, then;
55 = lw
w = 55/l
Hence the width of the rectangle as a function of its length is w = 55/l
Learn more on area of rectangle here; https://brainly.com/question/2607596
at a basketball game, a vender sold a combined total of 166 sodas and hot dogs. The number of hot dogs sold was 54 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.
The best way to solve these sorts of problems that involve two factors of unknown quantities but with certain properties is to use equations:
Let's set some variables
h: # of hot dogs solds: # of sodas soldNow based on the information given by the question, let's set up some equations:
vender sold a combined total of 166 sodas and hot dog⇒ [tex]s + h = 166[/tex]
number of hot dogs sold was 54 less than the number of sodas sold⇒ h = s - 54
Now lets put the equation together
s + h = 166 -- equation 1
h = s - 54 -- equation 2
Solve:
Plug the value of h from equation 2 into equation 1
s + (s - 54) = 166
2s - 54 = 166
2s = 220
s = 110 -- equation 3
Plug the value of s from equation 3 into equation 2
h = 110 - 54 = 56
h = 56
Therefore:
number of sodas sold: 110number of hot dogs sold: 56Hope that helps!
Find the circumference of a circle whose area is equal to 64π^2
Answer:
14 6/7 is the circumference
Step-by-step explanation:
you first of all look for the radius using the formulae multiply both sides by the reciprocal of 22/7
7/22 ×22/7r=64×7/22=224/11{2 4/11)
2 4/11 is the radius
cir =2×22/7×2 4/11
2×22/7× 26/11=104/7
==== =14 6/7
all i can do but am not sure sorry
I am a solid figure with two congruent
polygons that are bases, connected
with lateral faces that are rectangles.
A tank in the shape of a hemisphere has a radius of 5 feet. If the liquid that fills the tank has a density of 51.6 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?
Tthe total weight of the liquid in the tank, to the nearest full pound is 13,514 pounds.
What is the total weight of the liquid in the tank?The first step is to determine the volume of the tank.
Volume of a hemisphere = Volume of a hemisphere = (2/3) x (π) x (r³)
π = 22/7r = radius2/3 x 5³ x 22/7 = 261.91 ft³
Weight = 261.91 ft³ x 51.6 = 13,514 punds
To learn more about the volume of a hemisphere, please check: https://brainly.com/question/26840364
A fair dice is rolled.
Work out the probability of getting a number less than 6.
Give your answer in its simplest form
Answer: 5/6
Step-by-step explanation: If its a six sided die with numbers 1 - 6
help pls it’s due soon :/
Chord AB subtends two arcs with measures in the ratio of 1:5. Line PQ is tangent
to the circle at point B. Find the measure of the angle between the tangent and secant AB.
Answer:
acute: 30°obtuse: 150°Step-by-step explanation:
The angle between the secant and the tangent will be half the measure of the intercepted arc. The two intercepted arcs total 1+5=6 ratio units and 360°. That means each ratio unit represents 60° of arc. The two arcs are 60° and 300°.
Then the two angles at the tangent and secant are ...
60°/2 = 30° . . . . . . . the one marked in the attache drawing
300°/2 = 150°
6. The length of Garden B is 3 more than the length of Garden A. Write, and solve the equation
you can use to find the length of Garden A.
Answer:
B = A + 3
Step-by-step explanation:
Let B be the length of Garden B and A the length of Garden A.
We are told that B = A + 3
We can use this equation to find the length of Garden B.
Fill in the table using this function rule. (Fill Y side)
Y=10x+3
X Y
-1
0
1
5
Answer:
[tex]y = -7[/tex]
[tex]y = 3[/tex]
[tex]y = 13[/tex]
[tex]y = 53[/tex]
Find all real numbers x such that
3x - 4 >5 and 8x - 19 < 21
Answer:
Answer:
1) x>3
2) x<5
hope this helped
PLEASE HELP what is the remainder if 3⁷³ is divided by five please and BRAINLIEST
Answer:
3
Step-by-step explanation:
3^1 = 3, 3^2 = 9, 3^3 =27, 3^4 =81,
3^5 = 243, etc. We see that the last digits of the powers of 3 are 3, 9, 7, and 1. If we continue this pattern, the last digit of 3^73 is 3. So if 3^73 is divided by 5, the remainder is 3.
What did you include in your response? Check all that apply. The rounded conversion will not give an accurate answer based on the limitations of the problem. Using the more accurate conversion factor will give an answer that can then be rounded to 2 decimal places.
Answer:
The International System of Units, or Le Système International d'Unités (SI), was established in 1960. The SI system of units is essentially a modernized metric system. SI is the official system of units for science and has been adopted for commerce and technology in Canada and most other nations. The seven units upon which the SI system is based are listed in the table that follows.
Step-by-step explanation:
please help me Find the value of x .
Answer: x=6
Step-by-step explanation:
3x+2+2x-2
/2
=15
The area of Elizabeth's garden is 60 square
7 feet. The garden has a width of 5 feet as
shown in the diagram.
?
5 feet
What is the length, in feet, of the garden?
205 ft as lenght
Step-by-step explanation:
First i multiplyed 60x7 nd got 420. Then i subtracted 10 from 420 and got 410. Next i divided 410 by 2 and got 205 ft.
The box-and-wishker plots bellow
Answer:
H: Plots 1 & 2
Step-by-step explanation:
How many different triangles can you make if you are given the measurement for two angles and the length of a side that is NOT shared?
Answer:
One triangle
Step-by-step explanation:
I hope this helps :)
Is 12/18 a rational number
Answer:
yes,
Given value is Rational. The value is 0.6
Step-by-step explanation: