Answer:
The initial value is 2
Step-by-step explanation:
Answer: The initial value is 2
I took the test.
Given fx) = 10– 2x, find (7).
оооо
7
56
Answer:
Substitute the value of 7 into the variable x. Then solve the equation.
f(7) = 10 - 2(7)
f(7) = 10 - 14
f(7) = -4 is the answer.Classify the triangle by its angles. answers: A) Obtuse triangle B) Acute triangle C) Right triangle D) Equilateral triangle
Answer:
B) Acute triangle
Step-by-step explanation:
In acute triangles, all of the angles are less than 90°. This is true for this triangle :)
I hope this helps!!
Answer:
B) Acute triangle
Step-by-step explanation:
All the angles are less than 90 degrees so all the angles are acute
What is the slope of the line represented by the equation y = x - 3?
O-3
5
3
Eight car dealerships reported the number of cars they sold last month. Car Dealership Number of Cars Sold GMC 84 Chevrolet 81 Nissan 92 Toyota 92 Ford 95 Honda 94 Hyundai 80 Acura 72 What is the upper and lower quartile of this set of data? lower quartile: 80.5 upper quartile: 93 lower quartile: 88 upper quartile: 93 lower quartile: 80.5 upper quartile: 88 lower quartile: 72 upper quartile: 95
Answer:
lower quartile: 80.5 upper quartile: 93
Step-by-step explanation:
Fro the above question, we are given the following values for the number of cars 8 dealerships sold.
GMC = 84
Chevrolet = 81
Nissan = 92
Toyota = 92
Ford = 95
Honda = 94
Hyundai = 80
Acura = 72
We are told to find the lower and upper quartile of this set of data.
The lower quartile of a data set can be defined as the median( middle number) of the lower half of the data set. The lower quartile is also known or referred to as (Q1).
The lower quartile is also calculated using the formula
Q1 = 1/4(n + 1) th value
Where n is the number of values in the the date set.
The upper quartile of a data set can be defined as the median( middle number) of the upper half of the data set. The lower quartile is also known or referred to as (Q3).
The upper quartile is also calculated using the formula
Q3 = 3/4(n + 1) th value
Where n is the number of values in the the date set.
Step 1
Arrange the data set from the lowest to the highest number
72, 80, 81, 84, 92, 92, 94, 95
Step 2
Calculate the lower Quartile
Q1 = 1/4(n + 1)th value
n = number of values in the data set = 8 values
Q1 = 1/4(8 + 1)th value
Q1 = 1/4(9)th value
Q1 = 2.25th value
This means it is between the 2nd and 3rd value
2nd value = 80
3rd value = 81
(80 + 81) ÷ 2 = 161 ÷ 2 = 80.5
The Lower Quartile (Q1) = 80.5
Step 3
Calculate the lower Quartile
Q3 = 3/4(n + 1)th value
n = number of values in the data set = 8 values
Q3 = 3/4(8 + 1)th value
Q3 = 3/4(9)th value
Q3 = (27/4)th value
Q3 = 6.75th value
This means it is between the 6th and 7th value
6th value = 92
7th value = 94
(92 + 94) ÷ 2 = 186 ÷ 2 = 93
The Upper Quartile (Q3) = 93
Therefore, the Lower Quartile: 80.5 and Upper Quartile: 93
Answer:
A
Step-by-step explanation:
good luck on the test ,have a nice day :)
edg 2022
help me with right answer plz
Answer:
15.5
Step-by-step explanation:
CAH
cos=adj/hyp
cos60= x/31
0.5=x/31
x= 15.5
Drag the tiles to the correct boxes. Not all tiles will be used.
Consider the following function:
f(x) = -3/4x+9.
Place the steps for finding f^-1(x) in the correct order.
Answer: 3 < 4x – 9 < 23
Step-by-step explanation:
The Value of 3^4 + 5 . 5= ___. please help!!!!!!!!!
Answer:
[tex]86.5[/tex]
Step-by-step explanation:
[tex]3^4+5.5[/tex]
[tex]81+5.5[/tex]
[tex]86.5[/tex]
Answer:
86.5
Step-by-step explanation:
3^4 + 5 . 5
Exponents first
3^4=81
81+5.5
86.5
Sorry for my first answer
help me i cant do it its too hard
Answer:
[tex]\frac{9}{20}[/tex]
Step-by-step explanation:
Step 1: Multiply 2 together
1/3(3/5) = 3/15
Step 2: Multiply again
3/15(9/4) = 27/40
Step 3: Simplify
(Divide both top/bottom by 2)
27/2 = 9
40/2 = 20
9/20
write down the size of angle ABC give a reason for your answer
Answer:
∠ ABC = 90°
Step-by-step explanation:
∠ ABC is the angle in a semi circle and is right, that is
∠ ABC = 90°
The angle of ABC is 90 degrees.
Using circle theorem,
The angle subtended by an arc at the centre is twice the angle subtended
at the circumference.
Therefore,
1 / 2 ∠O = ∠ABC
∠O = 180 (angle on a straight line)
Therefore,
∠ABC = 1 / 2 × 180
∠ABC = 180 / 2
∠ABC = 90°
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A political scientist wants to conduct a research study on a president's approval rating. The researcher has obtained data that states that 45% of citizens are in favor of the president. The researcher wants to determine the probability that 6 out of the next 8 individuals in his community are in favor of the president. What is the binomial coefficient of this study? Write the answer as a number, like this: 42.
Answer:
The probability that 6 out of the next 8 individuals in his community are in favor of the president.
P( X=6) = 0.070 or 7 percentage
Step-by-step explanation:
Step(i):-
Given data the researcher has obtained data that states that 45% of citizens are in favor of the president
probability of success 'p' = 45% or 0.45
q = 1-0.45 = 0.55
Given random sample size 'n' = 8
Let 'X' be the random variable
let 'X' = 6
[tex]P(X=r) = n_{C_{r} } (p)^{r} (q)^{n-r}[/tex]
The probability that 6 out of the next 8 individuals in his community are in favor of the president.
[tex]P(X=6) = 8_{C_{6} } (0.45)^{6} (0.55)^{8-6}[/tex]
[tex]8_{C_{6} } = \frac{8!}{(8-6)!6!} = \frac{8 X 7 X 6!}{2 X 1 X 6!} =\frac{8 X 7}{2 x1} = 28[/tex]
P( X=6) = 28 × 0.00830 ×0.3025
P( X=6) = 0.070
Conclusion:-
The probability that 6 out of the next 8 individuals in his community are in favor of the president.
P( X=6) = 0.070 or 7 percentage
Answer:
28
Step-by-step explanation:
There is a bag filled with 4 blue, 3 red and 5 green marbles. A marble is taken at random from the bag, the colour is noted and then it is not replaced. Another marble is taken at random. What is the probability of getting 2 greens?
Answer:
The answer would be just about 61% or 9/14
Step-by-step explanation:
So, it would be a 71% chance to get 1 green out of the bag, but then you have to keep that green out, which then lowers the chances of getting another green out of the bag, then you have to combine the percentages, and then that is the final percentage.
The probability of getting 2 greens is 5/31
Probability is the likelihood or chance that an event will occur. It is expressed as:
Probability = Expected outcome/Total outcome
Given that a bag is filled with 4 blue, 3 red and 5 green marbles, the total outcome is expressed as:
Total outcome = 4 + 3 + 5 = 12ballsIf green is picked at first, the probability of selecting a green is 5/12
If the second marble is picked and not replaced, the probabiity that it is green is 4/11 (4 greens remaining)The probability of getting 2 greens = 5/12 × 4/11
The probability of getting 2 greens = 20/132
The probability of getting 2 greens = 5/31
Hence the probability of getting 2 greens is 5/31
Learn more here: https://brainly.com/question/13604758
Determine the value of the missing exterior angle. options: A) 104° B) 256° C) 72° D) 92°
answer: X would equal 104
Step-by-step explanation:
you would first find the interior angle for the other 2 exterior angles this would lead for the other 2 interior angles would be 88 and 16 so you would have 180 - 176 so then you do 180- 76 to find the missing angle of X
Missing exterior angle is 104°.
What is exterior angle?Exterior angles are angles that are parallel to the inner angles of a polygon but lie on the outside of it. The measure of an exterior angle is equal to the sum of the two internal opposite angles.
Given,
In the figure
Measure of exterior angles = 92°, 164°, x°
Sum of exterior angles of triangle is 360°
92° + 164° + x° = 360°
256° + x° = 360°
x° = 360° - 256°
x° = 104°
Hence, 104° is the measure of the missing exterior angle.
Learn more about exterior angle here:
https://brainly.com/question/28835566
#SPJ2
can someone please help me?? I don’t understand this
Answer:
see explanation
Step-by-step explanation:
It just means plug in the points into f(x)
-6 = -8
-1 = -3
1 = -1
6 = 4
Find the ratio that is equivalent to 10:5. A. 15:5 B. 5:10 C. 2:1 D. 5:1
Answer:
C 2:1
Step-by-step explanation:
10 is double 5
and 2 is double 1
Answer:
C 2:1
Step-by-step explanation:
this is the answer
If a translation of (x, y) - (x + 6, y - 10) is applied to figure
ABCD, what are the coordinates of D?
А
B
2
(-5, -2)
(1, -12)
(4.-15)
(-9, -6)
Answer:
the answer is b
Step-by-step explanation:
What is the factorization of the expression below?
16x^2 - 49
A. (8x + 7)(2x-7)
O B. (4x + 7)(4x - 7)
O C. (8x-7)(2x-7)
O D. (4x-7)(4x-7)
Answer:
B
Step-by-step explanation:
16 x² - 49 ← is a difference of squares and factors in general as
a² - b² = (a + b)(a - b), thus
16x² - 49
= (4x)² - 7²
= (4x + 7)(4x - 7) → B
Answer:
B
Step-by-step explanation:
There is no number between 16x and 49. So only think about the number being squared for 49; which is 7.
Then 49 is negative, so you must have both positive and negative signs in both parenthesis. Otherwise, positive times positive is positive, and negative times negative is also positive.
4x4 is 16. That's why you put fours in front of Xs.
I am sorry for getting this wrong (if i did)
Which is the inverse of the function f(x) = 4x − 9?
y = 4(x + 9)
Answer:
The inverse is 1/4x + 9/4
Step-by-step explanation:
f(x) = 4x − 9
y = 4x -9
Exchange x and y
x = 4y -9
Solve for y
Add x to each side
x+9 = 4y
Divide by 4
1/4x + 9/4 = y
The inverse is 1/4x + 9/4
x/11 = -12
please help!!!
Answer:
x= -132
Step-by-step explanation:
Answer:
[tex]x=-132[/tex]
Step-by-step explanation:
[tex]\frac{x}{11}=-12\\ \\x=-12*11\\\\x=-132[/tex]
Need help with trig in pic
Answer:
A. cos α = – 3/5
B. Sin β = √3/2
Step-by-step explanation:
A. To find the exact value of cos α , we must obtain the Hypothenus for the triangle.
Please attach photo for explanation.
B. To find the value of sin β, we must determine the opposite in the triangle. Please see attached photo for further details.
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
Work Shown:
Use the pythagorean theorem to find x
a^2 + b^2 = c^2
x^2 + 11^2 = 13^2
x^2 + 121 = 169
x^2 = 169 - 121
x^2 = 48
x = sqrt(48)
x = 6.92820323027551
x = 6.93
Answer:
x=6.93
Step-by-step explanation:
This is a right triangle, therefore we can use the Pythagorean Theorem.
a^2+b^2=c^2
where a and b are the legs and c is the hypotenuse.
In this triangle, x and 11 are the legs, because the form the right angle. 13 is the hypotenuse because it is opposite the right angle.
a=x
b=11
c=13
x^2+11^2=13^2
Evaluate the exponents.
11^2=11*11=121
13^2=13*13=169
x^2+121=169
Now we must solve for x by getting x by itself. First, subtract 121 from both sides.
x^2+121-121=169-121
x^2=169-121
x^2=48
x is being squared, so we should take the square root of both sides.
√x^2=√48
x=√48
x=6.92820323
Round to the nearest hundredth. The 8 in the thousandth place indicates we should round the 2 in the hundredth place to a 3.
x=6.93
(W^3 Z^2)^2 simplify
Answer: w^6 z^4
Step-by-step explanation:
w^6z^4
w^3^2 z^2^2
w^6 z^4
Answer:
[tex]w^6z^4[/tex]
Step-by-step explanation:
[tex]\text{Apply rule: }(a*b)^n=a^nb^n\\\\(w^3z^2)^2=\left(w^3\right)^2\left(z^2\right)^2\\\\\text{Apply rule: }(a^n)^m=a^{nm}\\\\(w^3)^2=w^{3*2}=\boxed{w^6}\\\\w^6(z^2)^2\\\\(z^2)^2=z^{2*2}=z^4\\\\\boxed{w^6z^4}[/tex]
Francisco wrote the number 3 × 10² in
standard form. His answer was 900. What
mistake did he make in order of
operations?
Answer:
Francisco turned 3 into 3^2. I know this because 10^2 = 100 and Francisco multiplied 10^2 by 3.
10^2 = 100
100 * 3 = 300
In order for 300 to get to 900, the 3 would have had to have been squared.
3^2 = 9
3^2 * 10^2 = 900
In other words, he got the exponent for 3 wrong.
Answer:
Step-by-step explanation:
Francisco mistakenly multiplied 10² by 3². So, he got 100*9=900
Correct answer is: 3 * 10² = 3 * 100 = 300
Divide using long division.
62 - 11y+
+15) = (y - 4)
Which of the diagrams below represents the contrapositive of the statement
"If it is an equilateral triangle, then it is an isosceles triangle"?
A. Figure A
B. Figure B
Answer:
The correct figure is B.
Step-by-step explanation:
The statement provided is:
"If it is an equilateral triangle, then it is an isosceles triangle"
The contra-positive of a statement is determined by switching the hypothesis and conclusion of the provided statement and negating both.
Then the contra-positive of the statement provided will be:
Switching the hypothesis and conclusion:If it is an isosceles triangle - It is an equilateral triangle.
Negating both the statements:If it is not an isosceles triangle - it is not an equilateral triangle.
Thus, the contra-positive of the statement is:
"If it is not an isosceles triangle, then it is not an equilateral triangle."
Thus, the correct figure is B.
What are the coordinates of the image of R for a dilation with center (0,0) and scale factor 3?
Answer:
(3, -3)
Step-by-step explanation:
If a point is dilated about the origin rule to be followed,
(x, y) → (kx, ky)
where k is a scale factor by which the point is being dilated.
If a point R having coordinates (1, -1) is dilated by scale factor of 3, coordinates of the image will be [3×1, 3(-1)]
Therefore, coordinates of the image R' will be (3, -3)
Help !!!!! What are the polar coordinates
[tex]\left(3,\,\frac{\big\pi}3\right)[/tex]
10 to the power of what is 0.1
Answer:
Brainleist!
Step-by-step explanation:
10^x = 0.1
x =log(0.1)
Decimal Form: x=−1
Can somebody help me with this. Do you add the 15 to the 2y or subtract it.
Answer:
4
Step-by-step explanation:
[tex]13x-10=2y+12 \\\\y=15 \\\\13x-10=2(15)+12 \\\\13x-10=30+12\\\\13x-10=42\\\\13x=52\\\\x=4[/tex]
Hope this helps!
Find the explicit formula for an arithmetic sequence with a common
difference of 4 and whose first term is 1.
Answer:
Step-by-step explanation:
[tex]a_{n}=1+(n-1)(4)[/tex]
Find the value of x.
Answer:
64 degreesStep-by-step explanation:
Lets find the third angle of the isosceles triangle that has an measure of 29 for one of the angles
Lets use the angle sum theorem and isosceles triangle definition
180=n+29+29
180=n+58
n+58=180
n=180-58
n=122
This angle is supplementary to one of the two congruent angles of the triangle that contains angle x
180=y+122
y+122=180
y=180-122
y=58
The triangle that has angle x is isosceles, thus we can use the following equation to find x
180=58+58+x
180=116+x
116+x=180
x+116=180
x=180-116
x=64 degrees