Answer:
x=15.5
Step-by-step explanation:
2x+1=32
2x=32-1
2x=31
x=15.5
Answer:
x = [tex]\frac{31}{2}[/tex]
Step-by-step explanation:
Given
2x + 1 = 32 ( subtract 1 from both sides )
2x = 31 ( divide both sides by 2 )
x = [tex]\frac{31}{2}[/tex]
Help me! :) 12 points!
Answer:
Vertical angles: <3 and <8, <2 and <5, <1 and <6, <4 and <7 (choose one pair, these are all right)
Linear: <1 and <5, <2 and <6, <3 and <7, <4 and <8, there are more (choose one pair, all these are right)
Congruent: Choose one of the vertical angle pairs I listed above
Step-by-step explanation:
Vertical angles are diagonally across for each other and equal the same angle. You would get a better explanation if you looked up pictures.
Linear angles are two angles on a straight line that are divided by another line. Again, you would get a better explanation by looking at a visual
Congruent angles are equal to each other, and because there are no angle measures here, you would go with a vertical angle pair.
Answer:
Step-by-step explanation:
Vertical angles: <3 and <8, <2 and <5, <1 and <6, <4 and <7 (choose one pair, these are all right)
Linear: <1 and <5, <2 and <6, <3 and <7, <4 and <8, there are more (choose one pair, all these are right)
Congruent: Choose one of the vertical angle pairs I listed above
A fair tossed 10 times . Find the probability of obtaining (i) exactly four heads (ii) 3 heads and 7 tails (iii) at least one head
Answer:
0.205 ; 0.117 ; 0.999
Step-by-step explanation:
Using binomial probability distribution :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
Probability of success, p = 0.5
P(x = 4) = 10C4 * 0.5^4 * 0.5^6
P(X = 4) = 0.205078125
B.) 3 heads and 7 tails
P(X = 7) = 10C7 * 0.5^7 * 0.5^3
P(X = 7) = 120 * 0.0009765625
P(X = 7) = 0.117
P(atleast one head)
P(x greater than equal to 1) = p(x =1) +... P(x = 10)
Using a binomial probability calculator :
P(x greater than equal to 1) = 0.999
the area of a rectangle is the same as the area of a square of side 12cm .if the rectangle is 16 long find its width.
Answer:
width = 9 cm
Step-by-step explanation:
the area of a 12cm square is 144
16w = 144
x = 9
In an all boys school, the height of the student body are normally distributed with a mean of 69 inches and a standard deviation of 5 inches. using the empirical rule, what percentage of the boys are between 54 and 84 inches tall?
Answer:
99.7% of the boys are between 54 and 84 inches tall.
Step-by-step explanation:
The heights 54 and 84 inches are 3 standard deviations away from the mean. Thus, 99.7% of the boys are between 54 and 84 inches tall.
The percentage of the boys are between 54 and 84 inches tall is 99.7%
What is percentage?
Percentage a relative value indicating hundredth parts of any quantity.
What is empirical rule?
The empirical rule or the three-sigma rule , is a statistical rule which states that for a normal distribution, almost all observed data will fall within three standard deviations of the mean.
The empirical rule predicts that 68% of observations falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).
From question mean(μ) = 69 in. and standard deviation(σ)= 5 in.
(µ ± σ) = (69 ± 5)
=64 - 74
=68%
(µ ± 2σ) =(69 ± 10)
=59 -79
=95%
(µ ± 3σ) =(69 ± 15)
=54 -84
= 99.7%
Thus the percentage of the boys are between 54 and 84 inches tall is 99.7%
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Find the value of x.
Answer:
x = 62°
Step-by-step explanation:
the top-most angle in the top isosceles triangle must be 73° also
the third angle of the top isosceles triangle is (180 - 73 + 73) which is 34°
the left portion of the right angle must be 56°
you can find by using this equation: x + x + 56 = 180
2x = 124
x = 62
Can someone please help me with math.
Answer:
a
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
All you have to do is count the number of squares it is from the point to the y axis horizontally. And count from there onwards. When you get further in Maths, you will realise there are much easier ways but this is the most basic.
plz help i give brainliest
Answer:
x = 6
Step-by-step explanation:
Tip: You want to isolate the x-variable on one side of the equation to find its value.
1) First, get rid of the radical signs on both sides of the equation by squaring both sides. This should leave you with 5x-7 = 3x+5.
2) Get the x-variables on one side by subtracting 3x from both sides, so the equation should be 2x-7=5.
3) Solve for x by adding 7 to both sides, so that your equation looks like this: 2x = 12.
4) Divide both sides by 2 and you will get x = 6. You can verify 6 as the x-value by plugging 6 back into the original equation.
I hope that helps! :)
Answer:
x=6
Step-by-step explanation:
The total surface area of this triangular pyramid is_____?
help asap
Answer: 208 in^2
Step-by-step explanation:
find the surface area of the square base
8(8)=64
find the surface area of the 4 triangular lateral faces
SA=4(bh÷2)
4(8 x 9 ÷2)
4(36)=144
add the surface area of the square base and lateral faces
64+144=208
reposttttttt
Calculate the volume of a prism with a length of 7/8ft, width 2/3 ft and height 1/2 ft. BE SURE TO EXPLAIN ALL STEPS
Answer:
14/48 Feet
Step-by-step explanation:
First, you multiply 7/8x2/3 which equals 14/24, which makes the base of the prisim 14/24 feet. Then you need to multiply 14/24 ( the base) by 1/2 (the height). 14/24x1/2= 14/48.
The final answer is 14/48.
PLSSS I NEED HELP i will give you 50 points
Answer:
131.2
Step-by-step explanation:
x/55=31/14
x=31/13*55
x=131.153846154
Quickly! Find the distance
2/9 of the students in the school are in 6th grade.
a. How many 6th graders are there if the school has 90 students?
b. How many 6th graders are there if the school has 27 students?
c. How many 6th graders are there if the school has x students? Write an
Answer:
a. 20
b. 6
c. y=2/9x
Step-by-step explanation:
which values are solutions to the inequality below, need explanation to better understand if it can be given.
Answer:
a b and d
Step-by-step explanation:
Find the mean among these numbers: 22, 20, 25, 19, 20
Answer:
17.6
Step-by-step explanation:
If you add all of the digets up you get: 86
86 divided by the quanity of numbers is: 17.6
2x-1/3+3=x-3/5
pls do make sure to answer this *only if you know*
thank you
Answer:
[tex] x = - 3 \frac{4}{15}[/tex]
Step-by-step explanation:
[tex]2x - \frac{1}{3} + 3 = x - \frac{3}{5} [/tex]
[tex] = > 2x - \frac{ 1 +9 }{3} = x - \frac{3}{5} [/tex]
[tex] = > 2x + \frac{8}{3} = x - \frac{3}{5} [/tex]
[tex] = > 2x - x = - \frac{3}{5} - \frac{8}{3} [/tex]
[tex] = > x = - \frac{9 - 40}{15} [/tex]
[tex] = > x = - \frac{49}{15} [/tex]
[tex] = > x = - 3 \frac{4}{15} (ans)[/tex]
Answer:
x = - [tex]\frac{49}{15}[/tex]
Step-by-step explanation:
Given
2x - [tex]\frac{1}{3}[/tex] + 3 = x - [tex]\frac{3}{5}[/tex]
Multiply through by 15 ( the LCM of 3 and 5 ) to clear the fractions
30x - 5 + 45 = 15x - 9 , that is
30x + 40 = 15x - 9 ( subtract 15x from both sides )
15x + 40 = - 9 ( subtract 40 from both sides )
15x = - 49 ( divide both sides by 15 )
x = - [tex]\frac{49}{15}[/tex]
Steve gets paid $50 a week plus $5 for each item he sells. He wants to know how many items he needs to sell, x, to make at least $220 in one
week
Select all the inequalities that represent the situation
HELLPPPPP
Answer:
Steve needs to sell 34 items.
Step-by-step explanation:
S= 5x+50
220=5x+50
-50 -50
170= 5x
/5 /5
34 = x
Check:
220= 5(34)+50
220=170+50
220=220
answer this asap pls no wrong answers
What is the probability of people choosing ice cream or soda? Write your answer as a decimal. 30points Only if you get it right
Answer 50% or .5 there are 2 things
what is the center of the circle: (x+3)^2+y^2=16 ?
Answer:
the answer is (-3,0) or 4
Step-by-step explanation:
4x − 5 + x = 3 + 2x + 4 what is the value of x?
Answer:
x=4
Step-by-step explanation:
4x-5+x=3+2x+4
5x-5=7+2x
5x-2x=7+5
3x=12
x=4
Jeremiah ran 5.6 miles every day for
2 weeks. How many miles did he run
in all?
Answer:
78.4 miles
Step-by-step explanation:
Since there are 14 days in two weeks, you multiply 5.6 miles times 14 days to get 78.4 miles in total since 5.6 is how much he ran every DAY
What is the median of the data set?
x
x x x x
x x x x x x x
↔0↔1↔2↔3↔4↔5↔6↔7↔8↔9↔10↔11↔12↔13↔14
Answer:aw ehtI Belive its 7 i could be wrong though
Step-by-step explanation:
the way you would solve this is u would arange the numbers like small to greatest then count how many there are and there happends to be 15 then you find the middle.
HOPE THIS HELPS
The numerator of the given fraction is 4 less than the denominator. If 5 is added to both numerator and denominator, the resulting fraction is equivalent to 5/7 . What is the original fraction? heeeeeeelp!!!
Answer:
5/9
Step-by-step explanation:
Let the denominator be k and thus numerator be 4 less than k or k - 4.
Fraction = (k - 4)/k
If 5 is added to both:
=> (k-4 + 5)/(k + 5) = 5/7
=> 7(k + 1) = 5(k + 5)
=> 7k + 7 = 5k + 25
=> 2k = 18
=> k = 9
Thus,
Fraction is (k-4)/k = (9-4)/9 = 5/9
Jordan fills several bags with oranges. This line plot shows the weight of each bag.
How many more pounds does one of the heaviest bags weigh than one of the lightest bags?
Enter your answer as a fraction in simplest form by filling in the boxes.
lb
Answer:
2 1/2
Step-by-step explanation:
The heaviest bag weighs 4 pounds, and the lightest bag weighs 1 1/2.
4 can be converted to 8/2 and 1 1/2 can be converted to 3/2.
8/2-3/2=5/2.
5/2 converts to 2 and 1/2 or 2.5
The heaviest bags weigh than one of the lightest bags by 2.5 pounds.
What is fraction?A number expressed as a quotient, in which a numerator is divided by a denominator.
The heaviest bag weighs 4 pounds,
and the lightest one weighs 3/2 pounds
The difference between the heaviest and lightest one is:
= 4-3/2
= 8/2-3/2
=5/2 pounds
= 2.5 pounds
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A scoop used to measure
powdered drink mix is in
the shape of a cone with a
radius of 5 cm
What is the height of the scoop if its volume is 75pi cm cube
Answer:
9
Step-by-step explanation:
V=pi (r squared) (h/3)
75pi = 25pi (h/3)
Divide both sides by 25 pi
3= h/3
Multiply both sides by 3
h=9
Which operation would you use to solve for x in the equation 3x = 15?
O Addition
O Division
O Squaring
O Subtraction
Answer:
division
Step-by-step explanation:
you need to get the x by its self because right now x is being multiplied by 3 tou divide it out
Answer:
Division
Step-by-step explanation:
you will divide both sides by 3..“the number that is disturbing x”
Find the area of triangle ABC and the area of XYZ. AABC - AXYZ.
Answer:
ABC= 60 XYZ=540
Step-by-step explanation:
The area of a triangle is 1/2*base*height so for ABC we need to find the height first. To do this we use pythag theorem, and create the equation 13^2=5^2+height^2 rearranging this we can figure out that sqrt(height)=13^2-5^2. For the base we do 2*5 since there are two congruent line segments both equal to 5. Using this we can do 1/2*12*10=area of ABC
For XYZ we can do 1/2*30*36=area of XYZ, we can do 2*15 since there are 2 congruent 15 length line segments at the base.
What is the area of the circle of the XY = 17 in?
A. 72.52pi in^2
B. 36.75pi in^2
C. 17pi in^2
D. 8.5pi in^2
Your answer would be A because the radius of the circle is half of its diameter.
Hope this helps <3 :)
Does anyone understand this?
Answer:
88
Step-by-step explanation:
11*4 = 44
4*4 = 16
11-4 = 7
7*4 = 28
44+16+28 = 88
L U C K luck is parallelogram with ∠C=68° and ∠LUK=42° find: 1.
m∠ CUK 2. m∠ K
Answer:
1. m∠CUK = 70°
2. m∠K = 112°
Step-by-step explanation:
1. The given parameters of the parallelogram LUCK are;
∠C = 68°
∠LUK = 42°
From the diagram of parallelogram LUCK obtained from an online source, we have;
Given that LUCK = A parallelogram, we have;
The same side interior angles ∠C and ∠U are supplementary angles
Therefore;
∠C + ∠U = 180°
∠U = 180° - ∠ C
∴ ∠U = 180° - 68° = 112°
∠U = 112°
By angle addition property, ∠U = ∠LUK + ∠CUK
∴ m∠CUK = ∠U - ∠LUK
By plugging in the value of ∠LUK = 42°, and ∠U = 112°, we have;
m∠CUK = ∠U - ∠LUK = 112° - 42° = 70°
m∠CUK = 70°
2. By angle addition property, we have;
∠K = ∠LKU + ∠CKU
∠LKU and ∠CUK are alternate interior angles
∴ ∠LKU = ∠CUK = 70°
Similarly, ∠CKU and ∠LUK are alternate interior angles
∠CKU = ∠LUK = 42°
m∠K = ∠LKU + ∠CKU = 70° + 42° = 112°
m∠K = 112°.