Given:
Either has a school certificate or diploma or even both = 20 people
Having school certificates = 14
Having diplomas = 11
To find:
The number of people who have a school certificate only.
Solution:
Let A be the set of people who have school certificates and B be the set of people who have diplomas.
According to the given information, we have
[tex]n(A)=14[/tex]
[tex]n(B)=11[/tex]
[tex]n(A\cup B)=20[/tex]
We know that,
[tex]n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]
[tex]20=14+11-n(A\cap B)[/tex]
[tex]20=25-n(A\cap B)[/tex]
Subtract both sides by 25.
[tex]20-25=-n(A\cap B)[/tex]
[tex]-5=-n(A\cap B)[/tex]
[tex]5=n(A\cap B)[/tex]
We need to find the number of people who have a school certificate only, i.e. [tex]n(A\cap B')[/tex].
[tex]n(A\cap B')=n(A)-n(A\cap B)[/tex]
[tex]n(A\cap B')=14-5[/tex]
[tex]n(A\cap B')=9[/tex]
Therefore, 9 people have a school certificate only.
this is what I need help with
1 and 2
Answer:
1. is no its a dialation and 2. is yes
Step-by-step explanation:
Rewrite the logarithmic equation: log4x = 5 in exponential form.
Answer:
4^5=x
x= 1045
Step-by-step explanation:
4 to the power of 5 is 1045:)
Answer:
The base of the log is the same as the base of the exponential form and in our case the base is 4. The value of the exponent is what the log is equal too and in our case it is 5. We already know the base is 4 and we want to raise it to the exponent of 5 so we get
x=45 *five on top*
x=1024
Step-by-step explanation:
Suppose that Clayton Kershaw of the Los Angeles Dodgers throws his fastball with a mean velocity of 94 miles per hour (mph) and a standard deviation of 2 mph and that the distribution of his fastball speeds can be modeled by a Normal distribution What percent of Kershaw’s fastballs will travel at least 100 mph?
Answer:
Step-by-step explanation:
ah, probability, so the std. deviation is 2 MPH, so that means to get from the mean.. or average speed of 94, he'll have to vary by 3 std. deviations or 6 MPH to hit 100
99.7% of throws fall into that area of with in 3 std. deviations so that means
0.3% fall outside also , 1/2 of those will 3 std. deviations slow while the other half is fast
so
0.15% will be 100 or faster.... not many
0.15% is the percent of Kershaw’s fastballs will travel at least 100 mph.
What is Normal Distribution?A probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
The standard deviation is 2 MPH, so that means to get from the mean.. or average speed of 94, he'll have to vary by 3 standard deviations or 6 MPH to hit 100
99.7% of throws fall into that area of with in 3 standard deviations so that means
0.3% fall outside also , 1/2 of those will 3 standard deviations slow while the other half is fast
so 0.15% will be 100 or faster
Hence 0.15 percent of Kershaw’s fastballs will travel at least 100 mph.
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Someone please Help!!!!!
Answer:
I believe that the slant height is 15.3 because of pythagorean theorem.
This means that the surface area is 740.2
Step-by-step explanation:
you dont have to show work
Answer:
B
Step-by-step explanation:
What is the value of xin the solution to this system of equations?
y + 2x = -1
y =1/2x+4
Answer:
x = -2.
Step-by-step explanation:
y + 2x = -1
y = -2x - 1
y =1/2x+4
Subtracting the last 2 equations:
0 = -2x - 1/2x - 1 - 4
5 = - 5/2 x
x = 5 / -5/2
= 5 * 2 / -5 = -2.
Equations
Yes
No
5a -1 = 14
true for a = 3
O ㅁ
100-b2= 80
true for b= 10
32 = 16
true for f = 2
Answer:
yes
No
yes
Step-by-step explanation:
I think it will help you
what equation is solved by graphed systems of equations
Answer:
its 7x+3=x-3
Step-by-step explanation:
it is
What value of z makes this equation true?
Z+32=73+25
A.
66
B.
67
C.
80
D.
79
Answer:
B. 66
Step-by-step explanation:
73+25 = 98
Z = 98-32
Z = 66
can someone help me with this ?
Answer:
de goes with bc ab goes with fd and angle f is angle A and angle d is angle B
Step-by-step explanation:
Answer:
Step-by-step explanation:
Round your answer to the nearest hundredth.
C=2
A=?
B=8
Answer:
A = 8.2462112512353
I hope it's helps you
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Step-by-step explanation:
try to factor them anx than set each bracket to 0 the negative one would not work
Answer:
5(−x−2)(x−7)
Step-by-step explanation:
11 Alex earns $84 for 12 hours of work,
a Write her rate of pay per hour,
b Write the equation for Alex's total pay, P, after t hours of work,
A restaurant owner wants feedback on the items on the menu, so she leaves a customer satisfaction survey on the tables for customers to
complete if they wish. Which sampling method best describes this scenario?
O A) convenience sample
OB) simple random sample
O C) stratified random sample
OD) voluntary response sample
Answer:
O A) convenience sample
Step-by-step explanation:
O A) convenience sample
The sampling method which describes the situation is option D. voluntary response sample.
What are Sampling Methods?Sampling methods are methods used to select a sample using specific methods. This includes various types of probability sampling and non probability sampling methods.
This is included in the non probability sampling methods.
So it is either convenience sample or voluntary response sample.
Convenience sample is the selection of a sample which is convenient for you. That is, the sample which is most accessible is selected by the researcher.
Voluntary response sample is also the one which is most accessible. But the researcher is not selecting the sample. Instead the members of the population can decide whether to took part in the sample.
Here it is customer's wish to complete the survey.
So it is voluntary response sample.
Hence the correct option is D. voluntary response sample.
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Please help and also include an explanation so I know how you got the answer.
Answer:
x = 15
Step-by-step explanation:
We know that 4x° + 8x° make a straight angle of 180°.
4x° + 8x° = 180°
12x° = 180°
12x = 180
x = 180/12 = 15
Answer:
x=15
Step-by-step explanation:
I gotcha bro
The line C is straight and straight lines are 180°
so 180° = 4x + 8x = 12x ----> 180 = 12x ---> then divide both sides by 12
180/12 = 15 and 12x/12 = x
so 15 = x or x = 15
Verify that -(x+y)=(-x)+(-y) when x=3/4 and y=2/5
Answer:
note that when opening the bracket the value outside the bracket with be used to multiply all the values inside the bracket... for example -(3/4+2/5) the (-) subtraction sign will be used to multiply all the values in the bracket including the addition sign therefore changing plus to minus
How would you find the last remaining two angles of a right triangle? Prove your understanding by finding the measures of the acute angles of an 8-15-17 right triangle.
Answer:
The other 2 angles are 28 and 62 degrees.
Step-by-step explanation:
The sum of all the angles of a triangle is always equal to 180 degrees.
If two angles are known the third can be found out.
A right angled triangle always has an angle equal to 90 degrees.
If the base is 15 and the perpendicular is 8 and the hypotenuse is 17
then
Tan theta= Perpendicular/base
Tan theta= 8/15
theta = tan⁻¹ 8/15
theta = 28.072
The third angle is 28 degrees which is less than 90 degrees and is acute
This can also be obtained by
cos theta= base / hypotenuse
cos theta= 15/17
theta= cos⁻¹ 15/17
theta= 28.072
Now summing up
90+ 28 + x= 180
x= 180-118
x= 62
The third angle is 62 degrees which is also less than 90 degrees.
Members of alachua district choir were given the choice between romanticism or gothic style singing which style they preferred sing for the state competition
Here is the complete question.
Members of the Alachua district choir were asked when given the choice between romanticism gothic style singing, which style they preferred to sing for state competition. The data was broken down by gender:
48 males preferred Romanticism
63 males preferred Gothic
59 females preferred Romanticism
62 females preferred Gothic
Part A: Fill in and complete the following contingency table. Circle the largest joint frequency and put a box around the smallest marginal frequency.
Romanticism Gothic Total
Males
Females
Total
Part B: Which style was preferred as the state competition piece and by what percentage?
Part C: Which subject was preferred the most by Males?
Part D: What frequency does 125/232 represent?
Answer:
The answer is below
Step-by-step explanation:
Part A:
Romanticism, Gothic, Total
Males 48, 63, 111
Females 59, 62, 121
Total 107, 125, 232
Part B: The preferred style is Gothic by a percentage of
P = 125 ÷ 232
Hence, we have P = 54%
Part C: Based on the table provided, the subject aspired the most by males was Gothic since 63 males chose it over 48 chose Romanticism.
Part D: The frequency 125/232 depicts the total of people that preferred Gothic over the total of people in both categories.
In a lottery, the top cash prize was $615 million, going to three lucky winners. Players pick four different numbers from 1 to 59 and one number from 1 to 49 . A player wins a minimum award of $225 by correctly matching three numbers drawn from the white balls (1 through 59 ) and matching the number on the gold ball (1 through 49 ). What is the probability of winning the minimum award?
Answer:
10063571 out of 593750689 or 1.69491525424%
Step-by-step explanation:
To find probability when all variables are known, you can just multiply the numbers you need. In this case we multiply 59 * 59 * 59 *49 since these are the balls we are picking from. We can find the chance of the top prize by multiplying all the numbers. 59 * 59 * 59 * 59 * 49
The binomial (x + 5) is a factor of x2 + 8x + 15. What is the other factor? (x + 3) (x + 7) (x + 12) (x + 13)
Answer: [tex]x+3[/tex]
Step-by-step explanation:
Given
[tex](x+5)[/tex] is a factor of [tex]x^2+8x+15[/tex] , that is
If [tex]x^2+8x+15[/tex] is divided by [tex](x+5)[/tex], it yields 0 remainder
Solve the quadratic equation
[tex]\Rightarrow x^2+8x+15=0\\\Rightarrow x^2+3x+5x+15=0\\\Rightarrow (x+3)(x+5)=0\\\Rightarrow x=-3,-5[/tex]
Therefore, [tex]x+3[/tex] is another factor of the quadratic equation.
Answer:
x+3
Step-by-step explanation:
its A or first option or (x+3)
A total of 200 people attended a carnival. Children tickets to the carnival cost $2.00. Adult tickets to the carnival cost $4.00. In all, the carnival made
$702 from the tickets sold. Show your work.
Write a system of equations to model the above situation. Define your variables.
- Solve the above system. Show your work or explain how you got your answer in the space provided.
-How many adult tickets were sold? How many children tickets were sold?
Answer:
$15.02
Step-by-step explanation:
add the money then add the 200. to what u get when u add the money
Molly keeps a record of her money on a calendar. She had $112.64 saved prior to the week shown in the partial calendar. How much money did Molly have left at the end of this week?
bIt was like any other day. I woke up to the sound of Fletchling in the trees. Wait is that the sound of Fletchling!? Am I still dreaming or have all my dreams just come true?............
I did everything in my power to see if I was dreaming and I wasn’t. This was the start of a new beginning. I knew what had to happen next. Just then, Professor Oak walked in and my mom came into the room and said,”Charles I think you should stay here.”
But like any kid would do I didn’t listen.
Then it all came back like a flood.
I peeked out of a crack in my door and saw my mom and the Professor talking. I couldn’t tell what they were saying but there was a box on the table and it had my name on it. The addresser: Anonymous.
Addison made some chilli with 3/4 of a can of black beans and 5/8 of a can of pinto beans. How many cans of beans did addison use in all?
Answer:
1 3/8 Cans
Step-by-step explanation:
When you have unlike denominators, Find the Least Common Denominator.
LCD: 8
Multiplying numerators and denominators to get the LCD in all fraction denominators
3 x 2
____ + 5/8
4 x 2
Then you need to re-write the equation with the equivalent fractions.
6/8 + 5/8
Simplify your answer
11/8 = 1 3/8
i need help with this
I need help ASAP
Also I need to show work on it because it is for my homework
Answer:4.5
Step-by-step explanation:
Does anybody know how to solve this problem, but using the work shown to help solve?
The value of y varies directly with x. When y=75, x= 0.5. What is the value of y when x is 2.25?
Even though I pulled up the work, I still don’t know what to do ♀️
Answer:
y=337.5 when x = 2 1/4
Step-by-step explanation:
Well first we want to know what's the function here
How do we get y to be 75 if x is .5?
75/.5 is 150
so can we say the function is 150x=y
Now lets plug
2 1/4 or 2.25 for x
2.25*150 = 337.5
y=337.5 when x = 2 1/4
Hope that helps!
1. Devon saw that the shoes he
wanted were on sale. They
were normally $60 but were
now 20% off. How much were
the shoes after the discount?
Helppppp
Answer:
$48
Step-by-step explanation:
20%=1/5
60/5=12
60-12=48
write the equations in slope y-intercept form
Answer:
y =MX + c is the formula of slope intercept form
solve x squared + 5x + 6
Answer:
(x+3)(x+2)
Step-by-step explanation:
Equation: x^2+5x+6
x^2+3x+2x+6 (factored 5x)
seperate
x^2+3x / 2x+6
(x+3) (x+2)
Answer: (x+3)(x+2)
In Springfield, the library is 24 kilometers due south of the courthouse and 32 kilometers due west of the community swimming pool. What is the distance between the courthouse and the community swimming pool?
Answer:
32km
Step-by-step explanation:
if you draw the diagram it looks like a right angled triangle then indicate the values and use the Pythagoras theorem to solve