Answer:
The probability of a person getting their own hat is 1/5 or 20%.
Step-by-step explanation:
If each person has one hat the chances (the probability) of them getting their own hat would be 20%. The chances (the probability) of them getting a hat that belongs to one of the other four students would be 80%. Due to there being 5 hats each person owns 1 hat so there would be a 1 out of 5 chance of them getting their own hat.
Hello can someone help me with this problem
Answer: x = 60
Step-by-step explanation:
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary and their sum is 180°.
2x + 5 + x - 5 = 180
3x = 180
3x : 3 = 180 : 3
x = 60
Last month, a factory produced 880 television sets. This month, the same factory produced 1,210 television sets. The increase in production from last month to this month is
Answer:
330 television set
Step-by-step explanation:
Last month production = 880 television sets
This month production = 1,210 television sets
The increase in production from last month to this month = This month production - Last month production
= 1,210 - 880
= 330
The increase in production from last month to this month = 330 television set
As per linear equation, the increase in production of television of the factory is 330.
What is a linear equation?A linear equation is an equation where the variable has the highest power of 1.
Given, a factory produced 880 television sets last month.
This month, the same factory produced 1,210 television sets.
Therefore, the increase in production of television of the factory is
[tex]= (1210-880)\\= 330[/tex]
Learn more about a linear equation here: https://brainly.com/question/11203335
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The students at Southern Junior High School are divided into four homerooms. Benjamin just moved into the school district and will be randomly assigned to one homeroom.
Which methods can be used to simulate this situation? Select three options..
Flip a coin 4 times, once for each homeroom, with heads up representing being assigned to the homeroom represented by that flip.
Draw a marble from a bag containing 5 white marbles, 5 black marbles, 5 red marbles, and 5 green marbles, with each color representing a different homeroom.
Use a random number generator with 1, 2, and 12 representing the first homeroom, 7, 9, and 10 representing the second homeroom, 3, 8, and 11 representing the third homeroom, and 4, 5, and 6 representing the fourth homeroom.
Roll a number cube with 1 representing the first homeroom, 2 representing the second homeroom, 3 representing the third homeroom, and any other outcome representing the fourth homeroom.
Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.
Step-by-step explanation:Spin a spinner with 8 congruent sections with 2 sections assigned to each homeroom.
Which of the following biconditional statements is true?
Answer:
The answer is A :)
Step-by-step explanation:
Answer:
A whole number is even if and only if it is evenly divisible by 2
Step-by-step explanation:
BRAINLY
JannetPalos
Ambitious
808 answers
526.6K people helped
Answer:
A whole number is even if and only if it is evenly divisible by 2
Step-by-step explanation:
1. The first statement is false because product of two negative integers is positive.
Ex:
(- 2) × (- 3) = 6
2. The second statement is false because there are whole numbers which are divisible by 2 but not divisible by 4.
Ex:
6 is divisible by 2 but not divisible by 4
3. The fourth statement is false because if a whole number is divisible by 2, then, by definition, it must be an even number.
Ex:
6 is divisible by 2 and hence it is an even number
4. The third statement is true because if a whole number is divisible by 2, then, by definition, it must be an even number.
Ex:
6 is divisible by 2 and hence it is an even number
89 x , 16x , -30x please show your work .
Answer:
Step-by-step explanation:
89x = 89 * x
16x = 2 * 2 * 2 * 2 * x
-30x = -1 * 2 * 5 * 3 * x
x is the only factor that is common in all three.
GCF = x
Dan buys a car for £2100.
It depreciates at a rate of 2.2% per year.
How much will it be worth in 6 years?
Give your answer to the nearest penny where appropriate.
Answer:
£1837.5
Step-by-step explanation:
Given data
Cost of car P= £2100.
Rate r= 2.2%
Time t= 6 years
Now we want to find the worth after 6 years, let us apply the compound interest expression but this time for depreciation
A= P(1-r)^t
Substitute
A= 2100(1-0.022)^6
A= 2100*(0.978)^6
A= 2100*0.875
A= £1837.5
Hence the amount of the car after 6 years is £1837.5
in the diagram below,RQ is parallel to ST. ST =4cm RP =10cm PT = 5cm a.find,. i.the scale factor. ii.|RQ|. b.if the area of ∆PRQ is 80 cm find the area of triangle ∆PST.
Answer:
us7e7eoeod8rr8r88rr8 fnddkdkiduduruScale factor is 1/2. and, Area of PST = 20cm^2
What is triangle?
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
here, we have,
we get in the diagram below, RQ is parallel to ST.
ST =4cm
RP =10cm
PT = 5cm
Now, PRQ is larger than PTS
i.e. the scale factor = 5/10
=1/2
And, |RQ|= ST*2
=4*2
=8
Now, area of PRQ =80cm^2
so, area of PST = 80*1/2^2
=80*1/4
=20cm^2
Hence, Scale factor is 1/2., Area of PST = 20cm^2.
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A wire was shaped to form a square of area
81cm². An equilateral triangle was formed by
the same wire. What is the length of a side of
the triangle formed?
Answer:
12 cm
Step-by-step explanation:
Given :-
A wire shaped to form a square of area81cm². An equilateral triangle was formed bythe same wire.To Find :-
The length of a side of the triangle formed?Solution :-
We know that the area of square is ,
> a² = 81 cm²
> a = √81 cm²
> a = ±9 cm
> a = 9cm ( -ve not possible )
Therefore perimeter ,
> P = 4a
> P = 4 * 9cm
> P = 36 cm .
We know all sides of ∆ are equal. therefore ,
> a + a + a = 36cm
> 3a = 36cm
> a = 36 cm/3
> a = 12cm
At the gym Merl swims every 6 days, runs every 4 days and cycles every 16 days. If she did all 3 activities today in how many days will she do all 3 activities again on the same day
Answer:
48 days
Step-by-step explanation:
Swim = every 6 days
Run = every 4 days
Cycles = every 16 days
Find the lowest common multiple of 6, 4 and 16
6 = 6, 12, 18, 24, 30, 36, 42, and 48
4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48
16 = 16, 16, 32, 48, 64, 80, 96, 112, 128, 144, 160
The LCM of 6, 4 and 16 is 48
Therefore,
If she did all 3 activities today, she will do all 3 activities again in the next 48 days
Plss answer the bottom question
Answer:
200
Step-by-step explanation:
250/100=2.5
2.5*80=200
So the answer is 200
6. Find the value of x to the nearest tenth.
Answer:
Step-by-step explanation:
[tex]Cos \ 39 = \frac{adjacent \ side}{hypotenuse}\\\\0.7771 = \frac{7}{x}[/tex]
x * 0.7771 = 7
[tex]x =\frac{7}{0.7771}=9.007[/tex]
x = 9
Consider the probability distribution shown below. x 0 1 2 P(x) 0.15 0.80 0.05 Compute the expected value of the distribution. (Enter a number.) Compute the standard deviation of the distribution. (Enter a number. Round your answer to four decimal places.)
Answer:
Expected value =0.9
Standard deviation = 0.4359
Step-by-step explanation:
Let's use the formula to find expected value or mean.
Expected value =Σ x *P(x)
x 0 1 2
P(x) ) .15 .8 .05
So, expected value = (0)(0.15) +1(0.8)+2(0.05)
= 0 +0.8 +0.1
=0.9
Expected value =0.9
Now, let's find standard deviation
x [tex](x- E(x))^{2}[/tex] [tex](x-E(x))^{2} *p(x)[/tex]
0 [tex](0-0.9)^{2}[/tex] [tex](0-0.9)^{2} *0.15[/tex] =0.1215
1 [tex](1-0.9)^{2}[/tex] [tex](1-0.9)^{2} *0.8[/tex] =0.008
2 [tex](2-0.9)^{2}[/tex] [tex](2-0.9)^{2} *0.05[/tex] =0.0605
Now, add the last column together and then take square root to find standard deviation.
Standard deviation of the distribution =[tex]\sqrt{0.1215+0.008+0.0605)}[/tex]
Simplify it, so standard deviation =0.4358898...
Round the answer to nearest four decimal places
Standard deviation = 0.4359
Can someone help me with this
Answer:
Step-by-step explanation:
Can someone help me solve this problem please
Thankyouuuu
Answer:
in picture
Step-by-step explanation:
Brainliest please
Answer:
this is the best way for the question
Find the TWO integers whos product is -12 and whose sum is 1
Answer:
[tex] \rm Numbers = 4 \ and \ -3.[/tex]
Step-by-step explanation:
Given :-
The sum of two numbers is 1 .
The product of the nos . is 12 .
And we need to find out the numbers. So let us take ,
First number be x
Second number be 1-x .
According to first condition :-
[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]
Hence the numbers are 4 and -3
Answer:
[tex] \displaystyle( {x}_{1} , y_{1}) =( - 3,4)\\ (x _{2}, y_{2}) = (4, - 3)[/tex]
Step-by-step explanation:
we are given two conditions
two integers whos product is -12two integers whos sum is 1let the two integers be x and y respectively according to the first condition
[tex] \displaystyle xy = - 12[/tex]
according to the second condition:
[tex] \displaystyle x + y = 1[/tex]
now notice that we have two variables therefore ended up with a simultaneous equation so to solve the simultaneous equation cancel x from both sides of the second equation which yields:
[tex] \displaystyle y = 1 - x[/tex]
now substitute the got value of y to the first equation which yields:
[tex] \displaystyle x(1 - x) = - 12[/tex]
distribute:
[tex] \displaystyle x- {x}^{2} = - 12[/tex]
add 12 in both sides:
[tex] \displaystyle x- {x}^{2} + 12 = 0[/tex]
rearrange it to standard form:
[tex] \displaystyle - {x}^{2} + x + 12 = 0[/tex]
divide both sides by -1:
[tex] \displaystyle {x}^{2} - x - 12 = 0[/tex]
factor:
[tex] \displaystyle ({x} + 3)(x - 4) = 0[/tex]
by Zero product property we acquire:
[tex] \displaystyle {x} + 3 = 0\\ x - 4= 0[/tex]
solve the equations for x therefore,
[tex] \displaystyle {x}_{1} = - 3\\ x _{2} = 4[/tex]
when x is -3 then y is
[tex] \displaystyle y _{1}= 1 - ( - 3)[/tex]
simplify
[tex] \displaystyle y _{1}= 4[/tex]
when x is 4 y is
[tex] \displaystyle y _{2}= 1 - ( 4)[/tex]
simplify:
[tex] \displaystyle y _{2}= - 3[/tex]
hence,
[tex] \displaystyle( {x}_{1} , y_{1}) =( - 3,4)\\ (x _{2}, y_{2}) = (4, - 3)[/tex]
The cost of having a window fixed is $175 plus $30 per hour of labor. Using h for the number of hours of labor, write an expression that represents the total cost.
Answer:
175 + 30h
Step-by-step explanation:
Hope this helps
Answer:
total cost = 175+30h
Step-by-step explanation:
Total cost = fixed cost + cost per hour * hours
total cost = 175+30h where h is the number of hours
How many black berry trees were sampled to create this graph
Answer:
C. 31 trees
Step-by-step explanation:
Add up all the frequencies: 3+3+8+10+5+2=31
Hope this helps!!!
Answer:
It's C. 31 trees
Step-by-step explanation:
That's about all I can say
two parallel lines are crossed by a transversal.
Answer:
[tex]{ \boxed{ \tt{m \angle1 = m \angle5}}} \\ { \tt{m \angle1 = 180 \degree - m \angle6}} \\ { \tt{m \angle1 = 180 \degree - 123.5 \degree}} \\ { \bf{m \angle1 = 56.5 \degree}}[/tex]
When a pair of parallel lines is intersected by a transversal, then
Corresponding angles are equal.
∠2 and ∠6 are corresponding angles.
So, m∠2 = m∠6
=> m∠2 = 123.5°
We know that linear pair of angles are supplementary (180°).
∠1 and ∠2 are linear pair of angles.
So, m∠1 + m∠2 = 180°
=> m∠1 + 123.5° = 180°
=> m∠1 = 180° - 123.5°
=> m∠1 = 56.5°
Solve for congruent triangles
Answer:
11. B.
12. C.
13. A.
14. D.
Step-by-step explanation:
for 11: we know that angles D and J are congruent from the tick marks, we also know that ∠FKD and ∠LKJ are congruent (vertical angles are congruent) therefore we need the sides between them
for 12: we know that ∠STU and ∠TUG are congruent, we also know that line TU is congruent to TU (reflexive property), therefore we need the angles adjacent to the first angles listed.
for 13: we know that ∠PQR and ∠CQR are congruent, we also know that lines RQ and RQ are congruent (reflexive property), therefore we need the other angles to which line RQ is between.
for 14: we know ∠B is congruent to ∠T and line AB is congruent to line ZY. therefore the angle cannot be connected to lines AB and ZY.
Help me please on hegarty maths
Answer:
29.5cm^2
Step-by-step explanation:
3 × 4 = 12
4 × 2.5 = 10
3 × 2.5 = 7.5
12+10+7.5=29.5
Question is in the image
help asap no wrong answers pls
Answer:
- 1.4
Step-by-step explanation:
The average rate of g(x) in the closed interval [ a, b ] is
[tex]\frac{g(b)-g(a)}{b-a}[/tex]
Here [ a, b ] = [ - 4, 1 ] , then
g(b) = g(1) = - 3 ( value of g(t) when t = 1 ]
g(a) = g(- 4) = 4 ( value of g(t) when t = - 4 )
average rate of change = [tex]\frac{-3-4}{1-(-4)}[/tex] = [tex]\frac{-7}{5}[/tex] = - 1.4
What type of health screening would this patient most likely receive?
Sue is a 45-year-old woman with a family history of breast cancer. Her healthcare professional will most likely recommend that she receive a
Answer:
she would need annual breast cancer screening with mammograms.
Step-by-step explanation:
hope this helps! hope you have a nice day.
Consider the graph of f(x) = 5x + 1. Explain how to find the average rate of change between x = 0 and x = 4.
What is the average rate of change?
Answer:
5
Step-by-step explanation:
You divide the change in the output value by the change in the input value.
Input: 0 | 4
Output: 1 | 21
20/4= 5
Find DE. A.4 B.5/3 C.7 D.11
Answer:
DE = 11
Step-by-step explanation:
DE = x + 7
EF = 7
DF = 4x + 2
DF = DE + EF (segment addition postulate)
Substitute
4x + 2 = x + 7 + 7
4x + 2 = x + 14
Collect like terms
4x - x = -2 + 14
3x = 12
Divide both sides by 3
x = 12/3
x = 4
✔️DE = x + 7
Plug in the value of x
DE = 4 + 7
DE = 11
Does anyone know the answer to this question?
a same side interior angles pf two parallel lines is three times the other same side interior angle. find the measures of these two angles
Answer:
45 and 135
Step-by-step explanation:
Same Side Interior Angles = 180
x + 3x = 180
4x = 180
x = 45
3x = 135
Answer:
Angle 1 = 45 degrees
Angle 2 = 135 degrees
Step-by-step explanation:
All same side exterior angles are supplementary so if one is three times the other which means a ratio of 3:1.
180/4 = 45
First angle = 45 degrees
Second angle = 135 degrees
Can someone please help me. If you do thanks
Answer:
(B)
Step-by-step explanation:
Can't explain lol, but that's the answer
Whole numbers are _______ intergers
1. Never
2. Always
3. Sometimes
Answer:
Whole numbers are ALWAYS integers.
Find the x and y intercept for the equation:
5 + 4 = 20 (show your work pls) serious answers only
Answer:
x = (4,0)
y = (0,5)
Step-by-step explanation:
5x + 4y = 20
5(0) + 4y = 20
(4y ÷ 4) = (20 ÷ 4)
y = 5
5x + 4(0) = 20
(5x ÷ 5) = (20 ÷ 5)
x = 4
x = (4,0)
y = (0,5)
