In an A-Frame house, the roof extends to the ground level. If each side of the roof meets the ground at a 62° angle, what will be the measure of the angle where the two sides of the roof meet?
Answer:
36 degrees
Step-by-step explanation:
Angles in a triangle add up to 180.
180-62-62=36
36 degrees
Step-by-step explanation:
which answer is equivalent to √ 25/√ 49
Exact Form:
5/7
Decimal Form:
0.7142
Find the solution of the system of equations.
4x – 2y = -6
x + 4y = -24
Answer:
-4,-5
Step-by-step explanation:
Looking at the system of equations, I can't see any way to add the equations together to eliminate a variable. So, I decided to use substitution. First, I created 2 new equations, x = -24 - 4y and Y=2X+3 by rewriting each equation to solve for x and y. Now, I can take one of these equations and insert it in the opposite equation and solve for a variable.
4(-24 - 4y) - 2y = -6
-96 -16y -2y = -6
-18y = 90
y = -5
Now, I can just insert this in one of my equations and solve for x, and get my solution, which gets me x = -4
(5pts) Recall that a standard deck of cards has 52 cards. The cards can be classified according to suits or denominations. There are 4 suits, hearts, diamonds, spades and clubs and there are 13 cards, each of a different denomination, in each suit. The 13 denominations are, Aces, Kings, Queens, ...,Twos, with 4 cards in each denomination (one of each suit). A poker hand consists of a sample of 5 cards drawn from the deck (without replacement). How many poker hands consist of 2 Aces, 2 Kings and a card of a different denomination?
Answer:
1584
Step-by-step explanation:
Distribution of cards in a deck:
Total number of cards = 52
Total number of cards drawn = 5
Sampling without replacement :
Number of Aces = 4
Number of kings = 4
Card different from Aces and kings = total cards - (4 + 4) ;
52 - 8 = 44 cards
(Drawing 2 aces from 4) * (2 kings from 4) * 1 other card of different denomination)
Using combination :
4C2 * 4C2 * 44C1
Using calculator :
6 * 6 * 44
= 1584
PLZ HELP VERY EASY BRAINLIEST
Identify a pair of mutually exclusive events and a pair of independent events.
At a carnival, the probability that you chose a winning rubber duck from 25 ducks is 0.20.
How many are not winning ducks?
The game is formed such that a duck is either winning duck or a non winning duck .
there is no other result for any duck present in the game .
Also choosing a duck is a fair game it is independent of any prior situation .
here we would be using a basic probability formula , that is
Probability of a result = number of items in favour of that result divide by total number of items present in the game .
Max walks 10 meters in 4 seconds what is his walking rate in meters per second
Answer:
2.5 m/s
Step-by-step explanation:
10/4 gets the answer. it is just distance over time
Answer: 2.5 m/s
Step-by-step explanation:
help! algebra question
Make y the subject of the formula
Answer:
[tex] y = \frac{w - x^2}{-2z} [/tex]
Step-by-step explanation:
Given:
w = x² - 2yz
Required:
Solve for y
Solution:
[tex] w = x^2 - 2yz [/tex]
Subtract x^2 from not sides
[tex] w - x^2 = - 2yz [/tex]
Divide not sides by -2z
[tex] \frac{w - x^2}{-2z} = \frac{-2yz}{-2z} [/tex]
[tex] \frac{w - x^2}{-2z} = y [/tex]
[tex] y = \frac{w - x^2}{-2z} [/tex]
the diagonal of a rectangular tv is 52 inches long. the screen is 45 inches wide. how high is the screen? round decimal to the nearest tenth.
A. 97
B. 68.8
C. 26.1
D. 7
The sum of two numbers is 240. If one number is twice the other number, find the two numbers.
Answer:
The sum of two numbers is 240. The larger number is 6 less than twice the smaller. Find the numbers.
----------
Let the smaller be "x" ; Larger is "2x-6"
EQUATION:
x + 2x-6 = 240
3x= 246
x = 82 (smaller)
2x-6 = 158 (larger)
Step-by-step explanation:
Answer:
160 and 80
Step-by-step explanation:
PLEASE HELP ILL GIVE BRAINLIEST AND FOLLOW using y=mx+b form
Answer:
y=1+5
Step-by-step explanation:
b is the y intercept and 1 is the slope gradient
what is the area of this quadrilateral?
Answer
theres nothing there
Step-by-step explanation:
You prob forgot to provide one
A local arts council has 200 members. The council president wanted to estimate the percent of its members who have had experience in writing grants. The president randomly selected 30 members and surveyed the selected members on their grant-writing experience. Of the 30 selected members, 12 indicated that they did have the experience. Have the conditions for inference with a one-sample z -interval been met
Answer:
Yes the sample can be use to make inference
Step-by-step explanation:
The inference is possible if the conditions:
p*n > 10 and q*n > 10
where p and q are the proportion probability of success and q = 1 - p
n is sample size
Then p = 12 / 30 = 0,4 q = 1 - 0,4 q = 0,6
And p*n = 0,4 * 30 = 12 12 > 10
And q*n = 0,6 * 30 = 18 18 > 10
Therefore with that sample the conditions to approximate the binomial distribution to a Normal distribution are met
To check the condition for inference with a one sample z-interval, we have to divide randomly selected member by total number of arts council.
No, the sample size is not less than 10% of the population size,
Given:
The total number of council member are 200.
The randomly selected members are 30 .
Calculate the ratio of randomly selected members and total number of council member.
[tex]\dfrac{n}{N}=\dfrac{30}{200}\\\dfrac{n}{N}=0.15\\\dfrac{n}{N}=0.15>0.10[/tex]
Thus, No, the sample size is not less than 10% of the population size.
Learn more about z-interval here:
https://brainly.com/question/7204089
A fitness machine weigh 16.8 kg. How many grams does the fitness machine weigh?
Answer:
16800
Step-by-step explanation:
since the equaltiuon is 16.8*1000
1 kg = 1000 grams.
16.8 kg x 1000 = 16,800 grams
please answer for help
Answer:
TS=22
Step-by-step explanation: Since we know the triangles are proportional, we need to set up an proportion to find TS. First, let find which sides are correspond with each, TS and MN does and US and NQ does. So we set up a proportion that includes.
TS/US=MN/NQ: Let plug in the numbers
3x+1/26=5x-2/39: Then cross multiply
39(3x+1)=26(5x-2): Then simplify
117x+39=130x-52: Subtract 117x from both sides
39=13x-52: Add 52 to both sides
91=13x: Divide 13 by both sides
7=x: Then plug it in to TS
3(7)+1=22
find the value=
sin 30° + cos 60° + tan 0
Answer:
1/2+1/2 + 0
= 1
Step-by-step explanation:
sin30° = 1/2
cos 60° = 1/2
tan 0° = 0
* Use order of operations to solve the following.
* Use order of operations to solve the following.
3 + 5 2 × 2 −7
Answer:
5
3+5 2×2 -7
8+4-7
12-7
5
^^^^
PLS HELP ILL GIVE YOU BRAINLIEST
What is the area of the circle in terms of pi?
Answer:
C=9
Step-by-step explanation:
A = πr^2
A = π 9
9
what’s the answer for this question?
The formula for the volume of this rectangular prism is:
V = x 3 + 5x 2 - 4x - 20
The length is x+5; the width is x+2; the height is unknown. Find an expression for the height.
Show all steps of your work for full credit.
Answer:
Step-by-step explanation: Explanation:
If
L
,
H
and
W
represent the length, height and width of the prism, then the volume of the rectangular prism is :
V
=
L
.
H
.
W
............. (1)
Given :
V
=
x
3
+
11
x
2
+
20
x
−
32
;
............... (2)
W
=
(
x
−
1
)
;
H
=
(
x
+
8
)
.
Let
L
=
(
x
+
l
0
)
be the expression for the length, then the RHS of equation (1) becomes
L
.
H
.
W
=
(
x
−
l
0
)
(
x
+
8
)
(
x
−
1
)
,
=
(
x
+
l
0
)
(
x
2
+
7
x
−
8
)
=
(
x
+
l
0
)
(
x
2
+
7
x
−
8
)
=
x
3
+
(
7
+
l
0
)
x
2
+
(
7
l
0
−
8
)
x
−
8
l
0
..... (3)
Comparing this to the LHS of equation (1), we get the following set of equations to solve for
l
0
,
7
+
l
0
=
11
;
7
l
0
−
8
=
20
;
8
l
0
=
32
;
l
0
=
4
Therefore
L
=
(
x
+
4
)
A water pipe is 4 7/12 feet beneath the surface of the road. What is the elevation of the pipe, in feet, expressed as a decimal?
Answer:
4.5833feet
Step-by-step explanation:
Given the elevation of a water pipe as 4 7/12 feet
Expressing as decimal
4 7/12
= 4 + 7/12
= 4 + 0.5833
= 4.5833
Hence the elevation of the pipe expressed as a decimal is 4.5833feet
Recall the Spice Girls Emporium example. A list of useful information is given below. n = 36 The sample mean income is $41,100 The population standard deviation is estimated to be $4,500 What if we wanted to change our level of confidence to be 99%? What would our new margin of error be? Your answer should be given as an integer.
Answer: Margin of error = 1932
Step-by-step explanation: Margin of Error is the amount of variation a survey's results have. In other words, it is understood as the measure of variation one can see if the same survey was taken multiple times.
Margin of error is calculated as [tex]z\frac{\sigma}{\sqrt{n}}[/tex]
z is z-score related to the percentage of confidence, in this z = 2.576
σ is population standard deviation
n is how many individuals are there in the sample or population
With a new level of confidence of 99%:
ME = [tex]2.576.\frac{4500}{\sqrt{36}}[/tex]
ME = 2.576(750)
ME = 1932
The new margin of error would be 1932.
What is the correct expanded form and value of
5
?
Answer:
[tex]\frac{4}{5} .\frac{4}{5} .\frac{4}{5} =\frac{64}{125}[/tex]
Step-by-step explanation:
An "exponential form" is being used for "repeated multiplication." The value of [tex](\frac{4}{5} )^3[/tex] is equal to [tex]\frac{4}{5}[/tex] being repeatedly multiplied by itself.
[tex]\frac{4}{5}[/tex] x [tex]\frac{16}{25}[/tex] x [tex]\frac{4}{5}[/tex] = [tex]\frac{64}{125}[/tex]Choice A is incorrect because it is an addition of fraction and also an incorrect way of adding the numerators. Choice C is also incorrect because it also used the addition operation. Choice D is incorrect because it repeatedly multiplied the reciprocal of [tex]\frac{4}{5}[/tex], which is [tex]\frac{5}{4}[/tex], instead of the fraction itself.
What value of x satisfies the conclusion of the mean value theorem for f(x) = ln(x3) over the interval [1, e2]?
Answer:
[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].
Step-by-step explanation:
According to the Mean Value Theorem, for all function that is differentiable over the interval [tex][a, b][/tex], there is at a value [tex]c[/tex] within the interval such that:
[tex]f'(c) = \frac{f(b)-f(a)}{b-a}[/tex] (1)
Where:
[tex]a[/tex], [tex]b[/tex] - Lower and upper bounds.
[tex]f(a)[/tex], [tex]f(b)[/tex] - Function evaluated at lower and upper bounds.
[tex]f'(c)[/tex] - First derivative of the function evaluated at [tex]c[/tex].
If we know that [tex]f(x) = \ln x^{3} = 3\cdot \ln x[/tex], [tex]f'(x) = \frac{3}{x}[/tex], [tex]a = 1[/tex] and [tex]b = e^{2}[/tex], then we find that:
[tex]\frac{3}{c} = \frac{3\cdot \ln e^{2}-3\cdot \ln 1}{e^{2}-1}[/tex]
[tex]\frac{3}{c} = \frac{6\cdot \ln e-3\cdot \ln 1 }{e^{2}-1 }[/tex]
[tex]\frac{3}{c} = \frac{6}{e^{2}-1}[/tex]
[tex]c = \frac{1}{2}\cdot (e^{2}-1)[/tex]
[tex]c \approx 3.195[/tex]
[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].
Answer:
C. 1/2(e^2-1)
Step-by-step explanation:
Edge AP Cal 2022
Suppose that E and F are points on the number line.
If EF = 12 and E lies at -9, where could F be located?
Answer:
either at -21 or 3
Step-by-step explanation:
we know that the length is a total of 12 so it either goes 12 spaces to the left or to the right of -9
-9 - 12 is -21 and -9 + 12 is 3
True or false, A triangle with side lengths of 9 cm, 19 cm, and 17 cm is a right triangle.
Answer:
False
Step-by-step explanation:
A right triangle has all side lengths the same
Answer: give me brainliest now
Step-by-step explanation:
In all, there are 52 blocks in the groups below. Each
group is the same size.
Which number sentence shows how to find the number
of blocks in each group?
52x4
B
52-4=
52+4=
D
52 -4 =
Answer:
D you divide
Step-by-step explanation:
The number sentence that shows how to find the number of blocks in each group is 52 ÷ 4.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that there are 52 blocks in the groups below. Each group is the same size.
Therefore, to find the number of blocks in each group, we have to divide the number of blocks by group.
That is;
52 / 4 = 13
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ2
A superball rebounds half the height it drops. A student drops the superball from the top of a building, 176 feet above the ground. How far
above the ground is the ball when it has traveled a distance of 500 feet?
Answer:
62.48 ft.
Step-by-step explanation:
Initial height: 50 ft.
First rebound: 10 ft.
Second rebound: 2 ft.
Third rebound: 0.4 ft.
Fourth rebound: 0.08 ft.
If we approximate the fourth rebound to zero, we'll have:
50 + 10 + 2 + 0.4 + 0.08 = 62.48 ft.
Write an algebraic expression. The product of two numbers is 94, and one of the numbers is n. What is the other number?
Answer:
Let say the another number y
N×Y=94
Y=94/N
So the algebric expression is 94/N
