Step-by-step explanation:
Let A be the set of people who speak English.
B be the set of people who speak French.
A - B be the set of people who speak English and not French.
B - A be the set of people who speak French and not English.
A ∩ B be the set of people who speak both French and English.
Given
n(A) = 72 n(B) = 43 n(A ∪ B) = 100
Now, n(A ∩ B) = n(A) + n(B) - n(A ∪ B)
= 72 + 43 - 100
= 72 + 43 - 100
= 115 - 100
= 15
Therefore, Number of persons who speak both French and English
= 15
n(A) = n(A - B) + n(A ∩ B)
⇒ n(A - B) = n(A) - n(A ∩ B)
= 72 - 15
= 57
and n(B - A) = n(B) - n(A ∩ B)
= 43 - 15 = 28
Therefore, Number of people speaking English only = 57
Number of people speaking French only = 28
Let A be the set of people who speak English.
B be the set of people who speak French.
A - B be the set of people who speak English and not French.
B - A be the set of people who speak French and not English.
A ∩ B be the set of people who speak both French and English.
Given
n(A) = 72 n(B) = 43 n(A ∪ B) = 100
Now, n(A ∩ B) = n(A) + n(B) - n(A ∪ B)
= 72 + 43 - 100
= 72 + 43 - 100
= 115 - 100
= 15
Therefore, Number of persons who speak both French and English
= 15
n(A) = n(A - B) + n(A ∩ B)
⇒ n(A - B) = n(A) - n(A ∩ B)
= 72 - 15
= 57
and n(B - A) = n(B) - n(A ∩ B)
= 43 - 15 = 28
im not sure if its right but- q-q
The slating palace charges a $6.00 shoe rental fee plus $2.00 an hour to skate.Mathland skating rink charges $4.00 an hour to skate . what equation represents situation on;the skating palace
Answer:
Equation for the skating palace
= 6 + 2x
Step-by-step explanation:
Let the number of hours = x
For skating palace, the equation is written as:
The slating palace charges a $6.00 shoe rental fee plus $2.00 an hour to skate.
$6 + $2 × x
= 6 + 2x
For Mathland , the equation is written as:
Mathland skating rink charges $4.00 an hour to skate .
$4 × x
= 4x
Therefore, the equation that represents the situation on the skating palace is :
6 + 2x
Write 1012100 with a power of 10 with a single exponent using the appropriate exponent rule. Explain or show your reasoning.
Answer:
Step-by-step explanation:
Move the period 5 spaces to the left, and then write 1012100 as 1.0121*10^5.
Alaina surveys 75 of her classmates and finds that 48% of them like to eat tacos. She also finds that 60% of her 45 relatives like tacos. How many more
of her classmates like tacos as compared to her relatives?
Answer: 9 more of her classmates like tacos as compared to her relatives
Step-by-step explanation:
first mutiply 75 x 48 =3600
3600/100=36
Then, 45 x 60=2700
2700/100=27
and substract 36-27=9
thats the answer, hope this helped!
Translate the expression: 3 times the difference between 7 and
g is 90
Answer:
3(7-g)=90
You multiply the expression by 3. The difference means to subtract two values. The whole equation equals 90.
Andre and Mai are discussing how to solve for side AB. Andre thinks he can
use the equation tan(12 degrees)=x/6 to solve for AB. Mai thinks she can use
the equation tan(78 degrees)=6/x to solve for AB. Do you agree with either of
them? Show or explain your reasoning.
Answer:
Both Andre and Mai are correct
Step-by-step explanation:
A drawing of the the triangle ΔABC is created with MS Visio and attached here
In the drawing, we have;
Segment AB = x
Segment AC = 6
By trigonometric ratio, in a right triangle we have;
[tex]Tan(\angle X) = \dfrac{The \ length \ of \ the \ opposite \, side \ to \ \angle X }{The \ length \ of \ the \ adjacent\, side \ to \ \angle X}[/tex]
Where 'X' = 12° as shown in the figure, we have;
[tex]tan(12 ^{\circ}) = \dfrac{AB}{BC} = \dfrac{x}{6}[/tex]
Therefore, Andre is correct
Similarly, we have;
[tex]tan(78 ^{\circ}) = \dfrac{BC}{AB} = \dfrac{6}{x}[/tex]
Therefore, Mai is also correct
Therefore, Andre and Mai are correct.
8. Which choice is chord?
LG
CH
LM
CJ
Answer:
Step-by-step explanation:
LG: is a chord. Are there others?
CH: is a radius. C is the center of the circle.
LM: You have to draw in LM. LM would be a secant. It cuts the circle in exactly two places.
CJ: Anything coming from C and ending at the circumference is going to be a radius.
Below. What is m∠1?
m∠1 =
Answer:
m∠1 = 70°
Step-by-step explanation:
Step 1
Sum of angles on a straight line = 180°
Hence:
180° - 101°
= 79°
Sum of interior angles in a triangle = 180°
Therefore,
m∠1 = 180° - (79 ° + 31°)
m∠1 = 180° - 110°
m∠1 = 70°
Only answer if you're sure you have the correct answer for this problem, please solve correctly.
Answer:
first option: m= 532 - 57h
Step-by-step explanation:
comment if u need explanation :)
How do I solve this problem?
Step-by-step explanation:
Solution:
Given,
t1( first term ) a = -15
t2( second term ) b = -9
CD(Common Difference) = ?
We know,
CD = b - a
= -9 - ( - 15 )
= -9 + 15
= 6
Now,
t1 = -15
t2 = -9
t3 = -3
t4 = 3
t5 = a + ( n - 1 )CD
= -15 + ( 5 - 1 ) 6
= -15 + 24
= 9
t50 = a + (n - 1 ) CD
= -15 + ( 50 - 1 ) CD
= -15 + 49 × 6
= -15 + 284
= 269
So the sum of t50 is 269.
The tables show the number of hours students
studied and the number of questions answered
correctly on a quiz. Which table shows a
proportional relationship?
Rachel rolls two number cubes, each with sides that are labeled 1 to 6. What is the probability that one number cube lands on a 1 and the other lands on an even?
Answer:
4/6. out of 1 2 3 4 5 6 only 3 number are even.but it says lands on 1 and the other lands on even. so 3 +1 = 4. sorry if it doesnt make sense
Find the area of the Regular Octagon below and show all mathematical reasoning.
9514 1404 393
Answer:
200√2 square units
Step-by-step explanation:
The area of a regular polygon with n sides and radius r is given by the formula ...
A = (n/2)r²·sin(360°/n)
Here, we have n=8 and r=10, so the area is ...
A = (8/2)(10²)sin(360°/8) = 4·100·√2/2
A = 200√2 . . . square units
Which statements apply to the expression (3/5^3) cubed? Check all that apply.
Answer:
The true statements are
3/5 is the base
3 is the exponent
(3/5)³ = 3/5 × 3/5 × 3/5
(3/5)³ = 27/125
Step-by-step explanation:
Let a and b be any integer, given the expression;
[tex]a^b[/tex]
a is the base
b is the exponent
Similarly if we have;
[tex]a^3[/tex]
This means we can multiply a in three places as shown;
[tex]a^3 = a \times a \times a[/tex]
Applying this to the given expression
[tex](\frac{3}{5} )^3 = \frac{3}{5} \times \frac{3}{5} \times \frac{3}{5} \\Also\\(\frac{3}{5} )^3 = \frac{3 \times 3 \times 3}{5 \times 5 \times 5} \\(\frac{3}{5} )^3 = \frac{27}{125}[/tex]
The base value will be 3/5 and the exponent is 3
Geometry question on finding x.
Answer:
[tex] x =63^o[/tex]
Step-by-step explanation:
Given :-
[tex]\text{ $\overline{MN} $ and $\overline{ML}$ are tangents .}[/tex]We know that the tangents are perpendicular to the radius at the point of contact . And here OLMN is a quadrilateral. Also we know that , the angle sum property a triangle is 360° .
According to question :-
[tex]\implies x + 117^o + 90^o +90^o = 360^o \\\\\implies x + 297^o = 360^o \\\\\implies x = 360^o - 297^o \\\\\implies x = 63^o [/tex]
Hence the value of x is 63° .
Melissa has 120 vanilla cake pops to sell. Each vanilla cake pops is covered with one topping. 1/2 of the cake pops are covered with chocolate sprinkles. 1/3 of the cake pops are covered with strawberry sprinkles. * the rest are covered with green sprinkles. How many cake pops are covered with green sprinkles?
Answer:
The Answer is 20 cake pops are covered with green sprinkles.
Step-by-step explanation:
So if you have 1/2 choclate, 1/3 strawberry, and the rest are green, you first need to convert the Chocolate and the Strawberry into the same fraction. As shown:
Chocolate: 1/2=3/6
Strawberry:1/3=2/6
The rest are Green sprinkles.
So, your equation would be:
Chocolate sprinkles + Strawberry Sprinkles + Green Sprinkles = Total
And their are 5/6 of Chocolate and Strawberry Sprinkles...
That would mean 100 Chocolate and Strawberry Sprinkles!
Because 1/6 of 120 is 20 and multiply that by five and you have 100...
Now that we have that, and we know the rest are green...
we just do 120-100=20
So their you go!
Sorry its long but hope it helps! <3
Plz help on this ASAP I forgot
Answer:
B) If you use 9 cups of almonds, you need 5 cups of flour
Step-by-step explanation:
If 9 is your x-coordinate, that represents 9 cups of almond.
If 5 is your y-coordinate, that represents 5 cups of flour.
Therefore, B is correct
Which situation is most likely to have a constant rate of change?
Answer:
It's C ez claps
Step-by-step explanation:
Which name best describes the polygon with vertices (0,0), (4,8), (12,8) and (16,0)?
A. Trapezoid
B. Square
C. Triangle
D. Pentagon
The name of the polygon with the vertices at (0,0), (4,8), (12,8) and (16,0) is a Trapezoid. Option A
How does a Trapezoid look like?A trapezoid is a four-sided flat polygon.
It has two parallel sides that has different lengths. The other two sides are non-parallel and also does have lengths.
A trapezoid has four angles, two of which are acute and two of which are obtuse.
A trapezoid's parallel sides are calld bases, while its non-parallel sides are called legs.
The height of a trapezoid is the perpendicular distance between its two bases. Trapezoids appear in a variety of sizes and forms, but its distinguishing feature is the presence of two parallel sides.
| o o
|
|
|
|
|
|
|o___________________________o_
If you connect the "o" which represents the coordinates, you will draw a Trapezod.
Find more exercises that include a Trapezoid:
https://brainly.com/question/8643562
#SPJ1
Can someone please help me with math.
Answer:
D
Step-by-step explanation:
If you multiply all sides by 2 you get the same dimensions.
Which equation best represents the relationship between x and y in the graph?
A. y = 3x + 3
B. y = x + 3
C. y = 3x - 1
D. y = 13 - 1
15 points pls I need ASAP
Answer:
A. y = 3x + 3
Step-by-step explanation:
y=mx+b
b is the y-intercept (0,y) so lets start with that
We can see that the line touches 3 on the y intercept to get (0,3) meaning b=3
For the slope (m) I like to count rise over run so if we start from (0,3) and go up 3 over 1 we get 3/1 or 3 for m
The whole equation is y=3x+3
Jewan is setting up a monthly budget. His gross monthly income is $3125, but 20% is deducted for taxes. How much money is deducted in taxes, and how much is his monthly net pay?
Answer:
$625
$2500
Step-by-step explanation:
tax = percent of tax x income
0.2 x 3125 = 625
amount remaining = income - tax
3125 - 625
what is the interquartile range of the data shown in the box plot???
HELP
Answer: 14
Step-by-step explanation:
Take the values at either end of the box (80 and 66) and subtract.
What is the value of x in the equation 2x + 3y = 36, when y = 6?
08
9
27
36
If Amy has 5 apples and she eats 3 how many does she have left?
Answer:
2 apples.
Step-by-step explanation:
Answer:
She has 2 more apples left!
Step-by-step explanation:
Simple: this is the equation: 5 - 3 = 2!
HELP ME DEAR GOD-
Let H be the event that a coin flip lands with heads showing, and let T be the event that a flip lands with tails showing. (Note that P(H) = P(T ) = 0.5.) What is the probability that you will get heads at least once if you flip the coin ten times? Let A be the probability that heads appears at least once and B be the probability that heads does not appear.
If you flip the coin 10 times the probability you will get a heads at least once is ???
Answer:
The probability you will get a head at least once is 50%.
Step-by-step explanation:
Since the question is asking about the probability you will get, we can assume we’re answering based on theoretical probability. This type of probability is based on logic.
A coin always has two sides, one with head and the other with tails. So we can easily represent this as half and half. 1/2 as a fraction. 0.5 as a decimal. 50% as a percent. This means that P(H) will be equal to any one of these as they are all the same. The same can be said for the probability that a head does not appear, in other words, a tail appears. The reason being that the probability is split evenly between the two. This will again mean that P(T) will equal to any one of those.
So, A = 50% and B = 50%. The probability you will get a head at least once is 50%.
find the square root of the following:
a. 1434/25
Answer:
7.57363849
Step-by-step explanation: square root of 57.36 = 7.57363849
Answer:
1434/25 is 57.36 the square root of 57.36 is 7.57
adding and subtracting matrices
Answer:
I NEED POINTS
Step-by-step explanation:
I'm just gonna answer this.
find the volume of the cone above in terms of pi
Rectangle A and B have the same Area. Rectangle A has a length of 7m and a width of 4m. Rectangle B has a width of 10m. What is the perimeter of Rectangle B? *
Answer:
P = 25.6 feet
Step-by-step explanation:
Given that,
Rectangle A and B have the same Area.
The area of a rectangle is given by :
A = lb
[tex]l_Ab_A=l_Bb_B[/tex]
We have,
[tex]l_A=7\ m, b_A=4\ m, b_B=10\ m[/tex]
So,
[tex]l_B=\dfrac{l_Ab_A}{l_B}\\\\l_B=\dfrac{7\times 4}{10}\\\\l_B=2.8\ m[/tex]
The perimeter of rectangle B,
[tex]P=2(l_B+b_B)\\\\=2(2.8+10)\\\\=25.6\ ft[/tex]
So, the perimeter of rectangle B is equal to 25.6 feet.
A straw is placed inside a rectangular box that is 2" x 6" x 8". If the straw fits exactly into the box diagonally from the bottom left corner into the top right back corner how long is the straw?
Answer: [tex]10.2"[/tex]
Step-by-step explanation:
Given
The dimension of the rectangular box is [tex]2"\times 6"\times8"[/tex]
If the Straw fits exactly into the box diagonally
So, the length of the longest diagonal of the rectangular box is equal to the length of the straw i.e.
[tex]\Rightarrow l=\sqrt{2^2+6^2+8^2}\\\\\Rightarrow l=\sqrt{4+36+64}\\\\\Rightarrow l=\sqrt{104}\\\Rightarrow l=10.19\approx 10.2"[/tex]