Answer:
0.2 = 20% probability that a student takes Spanish and engineering
Step-by-step explanation:
We solve this question treating the probabilities as Venn sets.
I am going to say that:
Event A: Student takes Spanish
Event B: Student takes Engineering.
35% of students take spainsh or engineering.
This means that [tex]P(A \cup B) = 0.35[/tex]
30% of students take Spanish.
This means that [tex]P(A) = 0.3[/tex]
25% of students take engineering.
This means that [tex]P(B) = 0.25[/tex]
What is the probability that a student takes Spanish and engineering?
This is [tex]P(A \cap B)[/tex].
These probabilities are related by the following formula:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
So
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]
Replacing the values
[tex]P(A \cap B) = 0.3 + 0.25 - 0.35 = 0.2[/tex]
0.2 = 20% probability that a student takes Spanish and engineering
Need help on this please any one
please answer giving BRAINLIEST
Answer:
x=7
Step-by-step explanation:
You
Have
X-ray
Vision
YhXr
If point N, with coordinates (1, 4) is translated to point N', with coordinates (-1,-1).
which translation did N undergo?
one unit left and three units down
two units left and three units down
two units left and five units down
one unit left and five units down
What is 74x56
Help fast I need it
Me will give brainliest
Thx in advance
Answer:
4144
Step-by-step explanation:
hope this helps
Answer:
the answer is 4,144
Step-by-step explanation:
Changed 19/4 into a mixed number (fraction).
Answer:
Step-by-step explanation:
Did you mean: Change 19/4 into a mixed number (fraction).
How do you turn 19/4 into a mixed number?
As an improper fraction. (numerator larger than denominator): 19/4 = 19/4
As a mixed number (mixed fraction) (a whole number and a proper fraction, of the same sign): 19/4 = 4 3/4
As a decimal number: 19/4 = 4.75.
As a percentage: 19/4 = 475%
4 and 3/4
16/4 equals 4; then 19/4-16/4 = 3/4, so that's left over.
Translate the given phrase into an algebraic expression and simplify if possible: the sum of -4 and the difference of 3 and 1
Algebraic expression for the given phrase is
[tex]-4+(3-1)[/tex]
Simplified answer is -2
Given :
The given phrase is the sum of -4 and the difference of 3 and 1
To find the difference we subtract the numbers
difference of 3 and 1 is 3-1
for the sum we add it
the sum of -4 and the difference of 3 and 1
the sum of -4 and (3-1)
Now we add it , [tex]-4+(3-1)[/tex]
Algebraic expression for the given phrase is
[tex]-4+(3-1)[/tex]
Now we simplify it
[tex]-4+(3-1)\\-4+(2)\\-2[/tex]
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The first correct answer gets brainliest
Answer:
1.2 Cm.
Step-by-step explanation:
If you multiply these three fractions you get 1.2 Cm. Or in fraction from 6/5
Hope this helped. Please correct me if I am wrong
Can help find the answer , what the increasing interval and decreasing interval. In interval notations?
Answer:
increasing on intervals
Step-by-step explanation:
cause the intervals come from a negative 2 aNd are going upwards in which the become positive
hope I helped
Find dy/dx by implicit differentiation.
cot(y) = 9x – 7y
dy/dx = ?
Answer:
Step-by-step explanation:
Decrease 1428g by 38.5%
Answer:
1428 (1-0.385) = 878.22
Step-by-step explanation:
What Is The Estimated Weight Of Three Containers Weighing 1.656 kg each? (Math 5 Quarter 2, Week 5) I Need A Nice And Clear Answer
Answer:
[tex]Estimate = 5.0kg[/tex]
Step-by-step explanation:
Given
[tex]Weight = 1.656kg[/tex]
Required
Determine the estimated for 3 containers
Since the weight of all containers are the same, we simply multiply the given weight by the number of containers.
i.e.
[tex]Estimate = Number\ of\ containers * Weight\ of\ each[/tex]
[tex]Estimate = 3 * 1.656kg[/tex]
[tex]Estimate = 4.968kg[/tex]
[tex]Estimate = 5.0kg[/tex] --- approximated
So, the estimated weight is 5.0kg
Tiy deposit $500 in a savings account that earns 7% interest compounded annually.
PLEASE HELP ITS URGENT
DONT GUESS
WILL MARK BRAINLIEST
Answer:
[tex]468 {in}^{2} [/tex]
Step-by-step explanation:
see attached image, surface area is the area of each surface added together
The frequency table shows the scores from rolling a dice.
Score
Frequency
Answer:
The median is 3.5
Step-by-step explanation:
We want to find the median of the set of values.
First, we need to write the set in ascending order.
We get:
1 five times
2 three times
3 five times
4 two times
5 seven times
6 four times
The median will be the midle value (for example in a set of 5 elements, the middle element is the third one) of this set, then the first part is to write the set, we get:
{1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6}
In this set we have
5 + 3 + 5+ 2 +7 + 4= 26 values
So we will not have a middle value, we need to take the mean of the two middle values (the 13th value and the 14th value)
We can see in the set above that these values are:
3 and 4.
Then we want to take the mean between 3 and 4.
We get:
M = (3 + 4)/2 = 3.5
The median of this set is 3.5
Sarah had 8 guests at her birthday party. She cut her round cake into 12 equal slices. 8 of the slices were eaten. What is the angle measure of the cake that was left?
Answer:120°
Step-by-step explanation:
Given
cake is cut into 12 equal pieces
We know the top view of cake is similar to circle .
So, if a circle is divided into 12 equal parts then
each part subtend an angle of
∅ = 360/12 = 30%
If 8 slices were eaten , then 4 slices are remaining
These 4 slices measure subtend equal angle at the center therefore
4 slice measure a total of 4 × ∅
➡️ 4 x 30°
➡️ 120°
On Monday Mrs. Wise bought 3 lbs of apples at $4 per lb. On Tuesday, apples were on sale for 20% off so she bought another 5 lbs. What was the price of apples on Monday?
Answer:
$12 on Monday
$16 on Tuesday
$28 in total
Step-by-step explanation:
Multiply the number of pounds by the cost per pound on Monday:
3 * 4 = $12 on Monday
If you want to find the price on Tuesday as well (I know it doesn't ask for it) you can calculate 20% of 4 by multiplying:
4 * 0.2 = 0.80
Next, subtract the 20% from the normal price:
4 = 0.80 = 3.20
Finally, multiply the discounted price by the number of pounds she bought:
3.20 * 5 = $16 on Tuesday
You can find the total of both Monday and Tuesday by adding the two together:
12 + 16 = $28.00 in total
What is sum of the vectors, (4.-5) and (10,2)?
(-6, 7)
(14,-3)
(14,7)
(15,6)
Answer:
(14,-3)
Step-by-step explanation:
To sum vectors, simply sum values at each position.
The sum is (4+10, -5+2) = (14,-3)
In ΔOPQ, PQ = 17, QO = 9, and OP = 15. Which statement about the angles of ΔOPQ must be true?
Answer:
All angles are different.
Internal angles can be acute, obtuse, or right angle.
The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.
Step-by-step explanation:
Given - In ΔOPQ, PQ = 17, QO = 9, and OP = 15.
To find - Which statement about the angles of ΔOPQ must be true?
Proof -
As given,
In ΔOPQ, PQ = 17, QO = 9, and OP = 15.
As all the sides of the given triangle is different, So the given triangle is a Scalene triangle.
Now,
We know that , In Scalene triangle -
All sides are different.
All angles are different.
Internal angles can be acute, obtuse, or right angle.
The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.
Smallest angle: ∠P
Opposite shortest side.
Middle angle: ∠O
Opposite middle side.
Largest angle: ∠Q
Opposite longest side.
Therefore:
m∠P<m∠O<m∠Q
Less than symbol goes from smallest to largest
Here's a better Explanation!!!!!!
What is the range of function g if g(x) = f(x) + 3
Answer:
g(x)=f(x)
f(x)=y
y+3=0
y=-3
the range of g(x) is y=-3
The range of g(x) is y=-3. The range of function is found by equating the given function with the f(x);
What exactly is a function?
A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.
The range of function is found by equating the given function with the f(x);
[tex]\rm g(x)=f(x)[/tex]
The given function is represented as;
[tex]\rm y=f(x)\\\\y+3=0\\\\y=-3[/tex]
The range of g(x) is y=-3
Learn more about the function, refer;
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#SPJ2
WILL MARK BRAINLIEST ONLY HAVE 10 MINUTES AND DOUBLE POINTS:
Jack scored 7,9,2,6,15,15 points 6 basketball games. Find the mean,median and mode scores for all the games
Answer:
mean = 9
mode = 15
median = 8
Step-by-step explanation:
30 POINTS TO WHOEVER GETS IT. WILL MARK BRANLIEST. A lever is four meters long. A load of 1,200 newtons is placed one meter from the fulcrum. The force on the 3 meter arm
that will make it balance is
In order to lift the load above, a work input of 1500 Nm is applied. What is the efficiency of this lever?
Answer:
Your efficiency is 80%. N is 400
Step-by-step explanation:
I hope I helped :)
Would appreciate Brainliest ;)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Have a lovely day and good luck with your school work!
I believe the answer is 400, 80%
have a blessed day!
Subtract. (12+8i)−(7+4i) Enter your answer in the box.
Answer:
5+12i
Step-by-step explanation:
So 12-7 = 5 and 8i+4i=12i and that equals 5+12i
Question 4
There are 15 members in a bicycle club this fall. By next summer, Ming hopes the number of members will be 140% of this number. What is
Ming's goal for the number of members next summer?
Ming's goal for the projected number of members next summer is the product of percentage increase and the current number of members, which is 21
Given the Parameters :
Present number of members in club = 15 Expected percentage rise = 140%The projected number of members next summer can be calculated thus :
Current number × Expected percentage rise 15 × 140%15 × 1.4 = 21Therefore, Ming expects to see the number of members rise to 21 next summer.
Learn more :https://brainly.com/question/18796573
Answer:
It's 36 :)
Step-by-step explanation:
HELP PLZ I HAVE LIKE 20-30 MINUTES PLZ I BEG ILL MARK YOU BRAINLIEST
Answer:
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Step-by-step explanation:
...........................
what is 1 x 5555 + -6779 . 55555
Answer:
−376601790
Step-by-step explanation:
1
⋅
5
5
5
5
−
6
7
7
9
⋅
5
5
5
5
5
5
5
5
5
−
6
7
7
9
⋅
5
5
5
5
5
Answer:
it's -1,224.55555
Step-by-step explanation:
1 x 55,555 = 55,555
55,555 + -6779.55555 = -1224.55555
hope this helps...
Use least common multiple or greatest common divisor to solve the problem.
Three clocks chime every 15 minutes, 39 minutes, and 65 minutes,
respectively. If the three clocks chime together, how much time must pass
before they will chime together again?
Answer:
Step-by-step explanation:
3) 15,39,65
_________
5 )5,13,65
--------------
13 )1,13,13
----------------
| 1,1,1
L.C.M.=3×5×13=195
They will chime together after 195 minutes.
The flag football league eventually had 72 kids sign up for the spring season after putting six teams together from the original amount of sign ups they took took it off of everything to make the final rosters how many kids were on the original rosters before removing some players
draw a tape diagram and write an equation to match the situation then solve the equation and put your answer in the context of the situation
Answer:
each team has 12
Step-by-step explanation:
Find angle picture below.
Answer:
Angle M = 63
Angle N = 96
Step-by-step explanation:
By exterior angle of triangle:
Angle M + Angle N = 159
(4y+3)+(6y+6)=159
y = 15
Angle M = 4y + 3 = 4(15) + 3 = 63
Angle N = 6y + 6 = 6(15) + 6 = 96
C The triangles in this picture are similar. Find the height of the tree.
Answer:
Please find attached pdf
Step-by-step explanation:
g The population of Little Townville in 2005 was 13,625 people. In 2009 the population grew to 15,325 people. Assume that this trend is linear and the population has been growing like this since 2000. a. Write a function for the population, P, in terms of the number of years since 2000, ????. (6 points) b. What is the slope of the function and what does it represent in the context of the problem. Include units. (5 points) c. What is the vertical intercept of the function and what does it represent? Include units (5 points) d. What do you believe the population was in 2015?
Answer:
a) [tex]P(t) = 11500 + 425t[/tex]
b) The slope is of 425 people, which is by how much the population increases each year.
c) The vertical intercept is of 11500 people, and it represents the population of Little Townville in the year 2000.
d) 17,875 people.
Step-by-step explanation:
A linear function that measures population after t years has the following format:
[tex]P(t) = P(0) + at[/tex]
In which P(0) is the vertical intercept, which represents the initial population, and a is the slope, which represents the yearly population.
a. Write a function for the population, P, in terms of the number of years since 2000.
The first step is finding the slope.
Finding the slope:
The slope is the change in the output divided by the change in the input, during a period of time.
The population of Little Townville in 2005 was 13,625 people. In 2009 the population grew to 15,325 people.
This means that in 2009 - 2005 = 4 years, the population increased by 15325 - 13625 = 1700.
So the slope is
[tex]a = \frac{1700}{4} = 425[/tex]
So
[tex]P(t) = P(0) + 425t[/tex]
Finding the initial population:
We want to find P(0), which is the population in 2000. The population of Little Townville in 2005 was 13,625 people, which means that [tex]P(5) = 13625[/tex]. So
[tex]P(t) = P(0) + 425t[/tex]
[tex]13625 = P(0) + 425*5[/tex]
[tex]P(0) = 13625 - 425*5[/tex]
[tex]P(0) = 11500[/tex]
So
[tex]P(t) = 11500 + 425t[/tex]
b. What is the slope of the function and what does it represent in the context of the problem. Include units.
The slope is of 425 people, which is by how much the population increases each year.
c. What is the vertical intercept of the function and what does it represent? Include units
The vertical intercept is of 11500 people, and it represents the population of Little Townville in the year 2000.
d. What do you believe the population was in 2015?
2015 is 2015 - 2000 = 15 years after 2000, so this is P(15).
[tex]P(15) = 11500 + 425*15 = 17875[/tex]
17,875 people.