Answer:
0.09 = 9% probability that the student is proficient in neither reading nor mathematics
Step-by-step explanation:
We solve this question treating the events as Venn probabilities.
I am going to say that:
Event A: A student is proficient in reading.
Event B: A student is proficient in mathematics.
A total of 82% of the students were found to be proficient in reading
This means that [tex]P(A) = 0.82[/tex]
74% were found to be proficient in mathematics
This means that [tex]P(B) = 0.74[/tex]
65% were found to be proficient in both reading and mathematics.
This means that [tex]P(A \cap B) = 0.65[/tex]
What is the probability that the student is proficient in neither reading nor mathematics?
This is:
[tex]P = 1 - P(A \cup B)[/tex]
In which
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
With the values that we have:
[tex]P(A \cup B) = 0.82 + 0.74 - 0.65 = 0.91[/tex]
Then
[tex]P = 1 - P(A \cup B) = 1 - 0.91 = 0.09[/tex]
0.09 = 9% probability that the student is proficient in neither reading nor mathematics
the difference of two numbers is 7. Three times the greater number is 72. find the numbers
Answer:
[tex]\huge\boxed{\tt{x = 24, y = 17}}[/tex]
Step-by-step explanation:
Let the greater number be x and the smaller number be y.
So,
Condition # 1:
x - y = 7 --------------(1)
Condition # 2:
3x = 72 --------------(2)
Taking Eq. (2)
3x = 72
Divide both sides by 3
x = 72 / 3
x = 24
Now, Put x = 24 in Eq. (1)
24 - y = 7
Subtract 24 to both sides
-y = 7 - 24
-y = -17
y = 17
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807What is the sum of the two polynomials?
Given:
The two models for the two polynomials.
To find:
The sum of the given polynomials.
Solution:
From the given figure, it clear that
[tex]\text{First polynomial}=a^2+a+2[/tex]
[tex]\text{Second polynomial}=-a-1[/tex]
Adding both polynomials, we get
[tex]Sum=a^2+a+2+(-a-1)[/tex]
[tex]Sum=a^2+a+2-a-1[/tex]
[tex]Sum=a^2+1[/tex]
Therefore, the correct option is A.
Help me fast
3) Consider the function
f(x) = x2
a) Sketch the graph of f(x) = x2 below.
b) Sketch the graphs of the following two functions on the same set of axes.
g(x) = f(x) + 2
or
y = x2 + 2
h(x) = f(x) – 3
or
y = x2 – 3
DONT answer if you don’t know
Answer:
c. 8 1/4 inches.
Step-by-step explanation:
The snail crawls 2 3/4 inches in 1 minute.
In 3 minutes, it can crawl 2 3/4 x 3 inches.
= 8 1/4 inches.
REVIEW SECTION
7. Which of the following statements is not true if A JKL = A MNO?
A. Z) = 2M
C. ZN= 2K
B. ZL220
D. LLUN
i think its ZN=2K
im not sure so please recheck it with someone else
Beryllium is an extremely lightweight metal that is used in many industries, such as aerospace and electronics. Long-term exposure to beryllium can cause people to become sensitized. Once an individual is sensitized, continued exposure can result in chronic beryllium disease, which involves scarring of the lungs. In a study of the effects of exposure to beryllium disease, which involves scarring of the lungs. In a study of the effects of exposure to beryllium, workers were categorized by their duration of exposure (in years) and by their disease status (diseased, sensitized, or normal.) The results were as follows:
Duration of Exposure
< 1 1 to < 5 >= 5
Diseased 12 10 18
Sensitized 14 18 13
Normal 66 142 210
Required:
a. Compute the expected frequencies of diseased workers.
b. Compute the expected frequencies of sensitized workers.
c. How many degrees of freedom are there?
Answer:
1. Has been answered below
2. Degree of freedom is 4
Step-by-step explanation:
Row 1: 12+10+18 = 40
Row 2: 14+18+13 = 45
Row 3: 66+142+210 = 418
Grand total = 40+45+418 = 503
Column 1 : 12+14+66 = 92
Column 2: 10+18+142 = 170
Column 3: 18+13+210 = 241
Total = 92+170+241 = 503
Expected frequencies of diseased workers
92x40/503 = 7.316
170x40/503 = 13.52
241 x 40/503 = 19.165
Expected frequencies of sensitized workers
92x45/503 = 8.23
170x45/503 = 15.20
241x 45/503 = 21.56
2.
Degree of freedom
= (Number of row -1)(number of column - 1)
= 3-1 * 3-1
= 2x2
= 4
b) The cost (x) for hiring and artist for a stage show for (y) hours is represente
as 2y + x = 20.
Draw the graph 2y + x = 20 on the grid below.
[4]
The easiest way is to transform this equation to intercept form of straight line.
[tex]\\[/tex]
Intercept form of straight line:
[tex]\dfrac{x}{a}+\dfrac{y}{b}=1[/tex]where [tex]a[/tex] is the x intercept - where the graph intersects the x axis, and [tex]b[/tex] is the y intercept - where the graph intersects the y axis.
[tex]\\[/tex]
Given that,
[tex]2y + x = 20[/tex]
[tex] \longrightarrow \: \dfrac{2}{20}y + \dfrac{x}{20} = 1[/tex]
[tex] \longrightarrow \: \dfrac{x}{20} + \dfrac{y}{10} = 1[/tex]
On comparing with [tex]\dfrac{x}{a}+\dfrac{y}{b}=1,[/tex] we get,
[tex]a=20[/tex][tex]b=10[/tex]Hence, the graph shall cut the x axis and y axis at 20 and 10 respectively. This information is enough to plot the graph.
[tex]\\[/tex]
Graph: Refer to the attachment.
Sheila in her study partner flipped a coin 120 times they flipped 70 has and 50 tails what is the experimental probability that the next flip will be heads up?
Answer:
7/12 = 0.5833 = 58.33% experimental probability that the next flip will be heads up.
Step-by-step explanation:
Experimental probability:
An experimental probability is given by the number of desired outcomes divided by the number of total outcomes, considering a number of previous trials.
What is the experimental probability that the next flip will be heads up?
120 previous trials.
70 were heads.
So
[tex]p = \frac{70}{120} = \frac{7}{12} = 0.5833[/tex]
7/12 = 0.5833 = 58.33% experimental probability that the next flip will be heads up.
Find the slope of the line.
Answer:
1/5
Step-by-step explanation:
Answer:
m= -1/4
Step-by-step explanation:
Points on the line: ( -4, -1) and (0, -2)
Slope:
m=(y2-y1)/(x2-x1)
m=(-2+1)/(0+4)
m=(-1)/4
m= -1/4
Allison and Megan were at track practice. The track is 3/8 kilometers around.
- Allison ran 1 lap in 3 minutes.
- Megan ran 4 laps in 6 minutes.
How many minutes does it take Allison to run one kilometer?
Allison ran 3/8 km (0.375 km) in 3 minutes.
Set up a proportion to find how long it takes for her to run 1 km
[tex]\frac{0.375\textrm{km}}{3 \textrm{min}} = \frac{1\textrm{km}}{x \textrm{min}}[/tex]
Cross multiply to get:
[tex]3 = 0.375x[/tex]
Solve:
[tex]x = \frac{3}{0.375}[/tex]
x = 8 minutes
Which of the following examples has a unit price of $4.75? Select all that apply.
A) 2 cheeseburgers for $9.00
B) 2 burritos for $9.50
C) 10 sandwiches for $47.50
D) 5 pizzas for $26.50
E) 3 hats for $14.25
Answer:
B
Step-by-step explanation:
9.50 divided by 2 equals 4.75, so 1 unit would equal 4.75 (sorry if that was a bad explanation
Answer:
B) 2 burritos for $9.50
C) 10 sandwiches for $47.50
D) 3 hats for $14.35
Step-by-step explanation:
B) 9.50/2=4.75
C) 47.50/10=4.75
D) 14.35/3=4.75
A jar contains 6 red jelly beans, 4 green jelly beans, and 4 blue jelly beans.
If we choose a jelly bean, then another jelly bean without putting the first one back in the jar, what is the
probability that the first jelly bean will be blue and the second will be blue as well?
Calcular la magnitud de la aceleración que produce una fuerza cuya magnitud es de 30 N a un cuerpo cuya masa es de 13 Kilogramos.
Answer:
2.308 m/s^2
Step-by-step explanation:
F = ma
30 N = (13 kg)a
---> a = 2.308 m/s^2
Caleb's vegetable garden yielded 23 pounds of bell peppers. He gave two-thirds
of the total yield to his reighbor, Jacob. How many pounds of bell peppers did
Jacob receive?
um what do i do here
Answer:
you add and subtract
Step-by-step explanation:
You need to match the sum/difference with the expression
Example -
A. 5x+2x 15x+2y (B)
B. 7x+8x+2y. 7x (A)
That's how you match it
Rory earned an 84% on his test. He answered 21 questions correctly. How many total questions were on the
test? Round to the nearest tenth if necessary
Answer:
21 is 84% to 25, so there would be 25 total questions on the test
PLEAS HELP THERE IS PIC drag the tiles to the correct boxes to complete the pairs. how many solutions does each equations have ?
Answer:
|2x+1|=0 has one solutions
2|x+1|=-2 has no solution
|x+21|=2 has two solution
Step-by-step explanation:
From the set {1, 4, 6}, use substitution to determine which value of x makes the equation true. 10 x + 8 = 48
Find the volume of a rectangular prism with length of 5, height of 2 and
depth of 6. *
10
30
12
60
Answer:
its 60
Step-by-step explanation:
the other answer is a scam
help this is due today
Answer:
A
Step-by-step explanation:
Amy is attending physical therapy after knee surgery. She walked 6 1/4 miles over 3 days. How many miles is this per
day? (Simplify the answer and write it as a mixed number)
Answer:
Step-by-step explanation:
2 1/12 miles per day
The number of miles Amy walked per day is given by the equation
A = 2 1/12 miles
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
The total number of miles walked by Amy = 6 1/4 miles
The total number of miles walked by Amy = 25/4 miles
And , the number of days = 3 days
So , the number of miles per day A = total number of miles walked by Amy / number of days
Substituting the values in the equation , we get
The number of miles per day A = ( 25/4 ) / 3
The number of miles per day A = 25/12
The number of miles per day A = 2 1/12 miles
Hence , the equation is A = 2 1/12 miles
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
it a tets please help it due today
Answer:
a.
Step-by-step explanation:
the formula is y2-y1/ x2-x1, so it would be -14-19/ 0- (-4) which simplifies to -33/4
100 points who ever get this right!!
Answer:
3. A = (0,-3)
B = (4,-2)
C = (-1,1)
4. A = (0,-6)
B = (4,-5)
C = (-1,-2)
Step-by-step explanation:
3) Reverse coordinates (-3,0), (-2,4), (1,-1) to A=(0,-3), B=(4,-2), C=(-1,1).
4) These coordinates (0,-3), (4,-2), (-1,1) need to be moved 3 units down.
So number four answer is A=(0,-6), B=(4,-5), C=(-1,-2).
I hope this helped you.
Answer:
3)A = (0,-3)
B = (4,-2)
C = (-1,1)
4)A = (0,-6)
B = (4,-5)
C = (-1,-2)
Which is longer, 2 feet or 18 inches?
Answer: 2 feet
Step-by-step explanation:
2 feet = 24 inches
24>18
Answer:
2 ft
Step-by-step explanation:
Use the long division method to find the result when 12x3 + 27x2 + 23x + 10 is
divided by 4x + 5.
(20 points)
What is the measure of ^1?
☁︎
A:230
☁︎
B:130
☁︎
C:125
☁︎
D:115
Step-by-step explanation:
I want to say B) 130 but not 100% sure. Sorry if my answer is wrong.
which phrase in paragraph 3 of "The pit and the Pendulum" most strongly contributes to a mood of trade
F fecuent and thoughts endeavors to remember
6 buod reason of a later epoch
= a vague homer at my heart
call to mind fitness and dampness
Answer:
"and motion, and touch—a tingling
sensation pervading my frame. Then the mere consciousness
of existence, without thought—a condition which lasted
long. Then, very suddenly, thought, and shuddering terror,"
The equation 3x2 – 5x + 7 = 0 has
A. Two real distinct roots
B. Two equal roots
C. Two Imaginary roots
D. 3 real distinct roots
Answer:
C
Step-by-step explanation:
Ann went to the store. She bought a book for $4.00, pencils for $2.00, and a notebook for $3.00. What is her change if she paid with a $20.00 bill?
Answer:
$11 is her change
Step-by-step explanation:
This is a simple adding and subtracing problem.
What we first do is add up 4+2+3=9 then we subtract 9 from 20 which gives us $11
We can check our answer by add up 11 + 9 to see if it equals to 20
20 + 36 = ? (5 + 9)
f f f f f f f f
Answer:
70
Step-by-step explanation:
20+36=56
(5+9)=14
56+14=70