Answer:
Those side lengths 4, 8 and 10 form a triangle
The sum of two numbers is 48. The small number is 6 less than the big number. What is the small number?
Answer:
x=6
Step-by-step explanation:
x+y=48
x=y-6
substitute "y-6" instead of x
x+y=48
(y+6)+y=48
y+y is equal to y
6+y=48
-6 -6
y= 42
x= 48-y
x=48-42
x=6
I hope this helped
Answer:
21Step-by-step explanation:
x - the small number
x+6 - the big number
x + x + 6 = 48
2x + 6 = 48
- 6 - 6
2x = 42
÷2 ÷2
x = 21
Verifying:
x+6 = 21 + 6 = 27
21 + 27 = 48
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
Find the slope of the line that passes through (-55, -5) and (-21, 32).
Answer:
Slope = 32+5/-21+55
= 37 / 34
Hope this helps
Gary tried to solve an equation step by step.
e/4 = 2.5
e/4 × 4 = 2.5 × 4 step 1
e = 8 step 2
Find Gary's mistake:
Answer:
e/4 = 2.5
e/ 4 × 4 = 2.5 × 4
e = 10
His mistake was in step 2 since
2.5 × 4 = 10
Hope this helps
Help !!!!! What are the polar coordinates
[tex]\left(3,\,\frac{\big\pi}3\right)[/tex]
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]
A group of students where asked about the number of e-mails they each send that day. The results are: 0, 1, 1, 2, 3, 3, 4, 4, 6, 7, 8, 10, 11, 14, and 15. Which histogram correctly shows the data set?
Answer:
Choice D
Step-by-step explanation:
After writing the data down seperate the values according to the x-axis on the graphs. You will find that 6 people chose between 0 to 3, 4 people chose between 4 to 7, 3 people chose between 8 to 11 and 2 people chose between 12 to 15.
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
In a right triangle PQR,∠Q=90
a)If PQ = 8cm, QR = 15 cm, find PR.
b)If PR = 10cm, PQ = 8 cm, find QR.
Answer:
a) PR = 17 cm, b) QR = 6 cm
Step-by-step explanation:
∠Q=90, so PQ and QR are legs, and PR is hypotenuse.
Pythagorean theorem PQ² + QR² = PR²
a) PQ² + QR² = PR²
8² + 15² = PR²
PR² = 289
PR = 17 cm
b) PQ² + QR² = PR²
8² + QR² = 10²
64 + QR² = 100
QR² = 36
QR = 6 cm
plz help find the equation of the circle
Answer:
[tex](x-2)^2+(y+4)^2=34[/tex]
Step-by-step explanation:
The standard form for the equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex], where h is the x coordinate of the center of the circle, k is the y coordinate, and r is the radius. Since you already know the coordinates of the center of the circle, all you need to do is find the radius. Using the distance formula:
[tex]r=\sqrt{(7-2)^2+(-1-(-4))^2}=\sqrt{5^2+3^2}=\sqrt{25+9}=\sqrt{34}[/tex]
The equation of the circle is therefore:
[tex](x-2)^2+(y+4)^2=34[/tex]
Hope this helps!
Divide using long division.
62 - 11y+
+15) = (y - 4)
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
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
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]
A sample of 50 11th graders were asked to select a favorite pattern out of 6 choices. The data list below shows what their favorite color patterns were, and the accompanying frequency table and bar graph represent these data. In the bar graph, the height of the blue gray bar is 4, the height of the green bar is 9, and so on. Suppose that rather than being just a bar graph, the display you see above is a relative frequency bar graph. The vertical axis of the graph will be marked off in percentages, from 0 percent up to 30 percent. What will be the height of the green bar? A. 18 B. 9 C. 25 D. 15
Answer:
18
Step-by-step explanation:
The required height of the green bar is 18. Option A is correct.
Number of sample = 50
Height of the green bar is = 9
The statistic is the study of mathematics which deal with relations between static data.
Here,
Percentage of green bar on vertical axis = 9/50 x 100
= 9 x 2
= 18%
Thus. the required height of the green bar is 18.
Learn more about Statistics here:
https://brainly.com/question/23091366
#SPJ2
Choose the graph that correctly corresponds to the equation x = −4.
Answer:
Option D is true. ( graph of a vertical line through the point (negative 4,0)
Step-by-step explanation:
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°
learn more: https://brainly.com/question/24225426?referrer=searchResults
Find the volume ! Thanks
Answer:
Volume of cuboid = length × width × height
length = 20cm
width = 8cm
height = 15cm
Volume = 20cm × 8cm × 15cm
= 2400cm³
Volume of the cuboid is 2400cm²
Hope this helps.
Answer:
2,400cm³
Step-by-step explanation:
FORMULA FOR VOLUME OF A CUBOID= L×B×H
WHERE L IS LENGTH = 20cm
B IS BREADTH = 15cm
H IS HEIGHT=8cm
:• VOLUME= 20cm ×15cm × 8cm
= 2,400cm³
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
What is the equation of the line perpendicular to Y-3x+1 that passes through the point (12,-6)?
y=x+1
3x + 2y = 24
3x + 2y = 6
2x - 3y = 42
2x - 3y = -48
Help plsss
Answer:
[tex]3y + x = -6[/tex]
Step-by-step explanation:
Given
y = 3x + 1
Required
Equation of line that passes through (12,-6) and is perpendicular to y = 3x + 1
First, the slope of the line has to be calculated;
Th slope of a line is the coefficient of x in its linear equation;
This implies that the slope of y = 3x + 1 is 3
Having calculated the slope of the first line;
The relationship between both lines are perpendicularity; this implies that [tex]m_1 * m_2 = -1[/tex]
Where m_1 = 3 and m_2 is the slope of the secodnd line
[tex]m_1 * m_2 = -1[/tex] becomes
[tex]3 * m_2 = -1[/tex]
Divide both sides by 3
[tex]\frac{3 *m_2}{m_2} = \frac{-1}{3}[/tex]
[tex]m_2 = \frac{-1}{3}[/tex]
The equation of the line can be calculated using the folloing formula
[tex]m = \frac{y - y_1}{x - x_1}[/tex]
Where [tex](x_1, y_1) = (12,-6)[/tex] and [tex]m_2 = \frac{-1}{3}[/tex]
The equation becomes
[tex]\frac{-1}{3} = \frac{y -- 6}{x - 12}[/tex]
[tex]\frac{-1}{3} = \frac{y + 6}{x - 12}[/tex]
Cross multiply
[tex]-(x - 12)= 3(y + 6)[/tex]
[tex]-x + 12=3y + 18[/tex]
Collect like terms
[tex]12 - 18 = 3y +x[/tex]
[tex]-6 = 3y + x[/tex]
[tex]3y + x = -6[/tex]
HELLO THERE. PLS HELP ME WITH GEOMETRY
Answer:
y° = 110°
z° = 26°
Step-by-step explanation:
Looking at the above geometry, we have two parallel lines , m and m
We have been asked to solve for y° and z°
Step 1
We solve for y°
On line n , we have can see that 70° and y° are CONSECUTIVE INTERIOR ANGLES
It is important to note that THE SUM OF TWO CONSECUTIVE INTERIOR ANGLES = 180°
Hence,
70° + y° = 180°
y° = 180° - 70°
y° = 110°
Step 2
Solve for z°
Looking at the geometric diagram we can see that
y° and (6z - 46) ° are ALTERNATE INTERIOR ANGLES
This means
y° = (6z - 46) °
In step 1 , we have already solved for y°
y° = 110°
Hence,
110° = (6z - 46) °
110° = 6z° - 46°
collect like terms
110° + 46° = 6z°
156° = 6z°
Divide both sides by 6
156°/6 = z°
z° = 26°
Therefore, the value y = 110° and the value of z = 26°
Please answer this question ASAP
A line passes through the points -6,4 and -2,2 which is the equation of the line
Answer:
y = -1/2x + 1
Step-by-step explanation:
Step 1: Find slope
m = (2-4)/(-2+6) = 1/2
Step 2: Find y-intercept
y = -1/2x + b
2 = -1/2(-2) + b
2 = 1 + b
b = 1
Step 3: Write it all together
y = -1/2x + 1
And we have our final answer!
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:
Write the rationalized expression of: sqrt9/sqrt3+sqrtx
Answer:
[tex]\frac{3(\sqrt{3} -\sqrt{x})}{3-x}[/tex] or [tex]\frac{3\sqrt{3}-3\sqrt{x} }{3-x}[/tex]
Step-by-step explanation:
[tex]\frac{\sqrt{9} }{\sqrt{3} +\sqrt{x} }[/tex]
[tex]\frac{3}{\sqrt{3}+\sqrt{x} }[/tex]
Multiply by the opposite by using the difference of squares converse formula.
[tex]\frac{3}{\sqrt{3} +\sqrt{x} } *\frac{\sqrt{3} -\sqrt{x}}{\sqrt{3} -\sqrt{x}}[/tex]
[tex]\frac{3(\sqrt{3} -\sqrt{x})}{3-x}[/tex]
[tex]\frac{3\sqrt{3}-3\sqrt{x} }{3-x}[/tex]
Answer:
3 sqrt(3) - 3 sqrt(x)
---------------------------
3 - x
Step-by-step explanation:
sqrt(9) = 3
so writing the expression as
3
--------------------
sqrt(3) + sqrt(x)
Multiply by the conjugate, sqrt(3) - sqrt(x) in the numerator and denominator
3 sqrt(3) - sqrt(x)
-------------------- * ------------------
sqrt(3) + sqrt(x) sqrt(3) - sqrt(x)
Foil the denominator
3 sqrt(3) - 3 sqrt(x)
---------------------------
sqrt(3) sqrt(3) + sqrt(3x) - sqrt(3x) - sqrt(x^2)
Simplify
3 sqrt(3) - 3 sqrt(x)
---------------------------
3 - x
Which rational expression has a value of 1 when x =-1?
The rational expression that has a value of 1 when x =-1 would be; D 2x²/ (x + 3).
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol.
We need to determine the expression that has a value of 1 when x =-1
Let's consider the rational expression of the option D;
2x²/ (x + 3)
Now substitute the value x = -1 in the given expression
2x²/ (x + 3)
2(-1)²/ (-1 + 3)
= 2/ 2
= 1
Hence, the required rational expression is D 2x²/ (x + 3).
To know more about an expression follow;
brainly.com/question/19876186
#SPJ6
What is the slope of the line represented by the equation y = x - 3?
O-3
5
3
Fiona wrote out the description of each step for her multiplication of the binomial and trinomial (2x – 3)(5x2 – 2x + 7). A table titled Fiona's Product with 2 columns and five rows. The first column is labeled steps with 4 steps shown. The second column is labeled result and shows 5 result expressions. In which step did Fiona make an error? Step 1 Step 2 Step 3 Step 4
Answer:
b
Step-by-step explanation:
Friona made an error in the second step that is step 2.
What error did she make in writing her step.?The descriptions of each step are given the multiplications of the bionomical and the trinomial i.e (2x – 3)(5x2 – 2x + 7). The titled Fiona's product has the 2 columns and the 5 rows. The first Colum is labeled as with 4 steps The second Colum is labeled as a result and the fifth is expression.
Using the distributive property and multiplying by -3 times each term of the trinomial. Thus, -3(5x^2 - 2x + 7) = -15x^2 + 6x - 21 Fiona written -6x instead of + 6x. This is the error. Hence the answer is "Step 2"
Find out more information about the description of each.
brainly.com/question/14249120.
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.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