Answer:
0.8015 = 80.15% probability that the student has the flu
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Has high temperature.
Event B: Has the flu
Probability of a student having high temperatures:
90% of 35%(have the flu)
12% of 100 - 35 = 65%(do not have the flu). So
[tex]P(A) = 0.9*0.35 + 0.12*0.65 = 0.393[/tex]
Probability of having high temperatures and the fly?
90% of 35%, so
[tex]P(A \cap B) = 0.9*0.35 = 0.315[/tex]
If a student has a high temperature, what is the probability that the student has the flu?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.315}{0.393} = 0.8015[/tex]
0.8015 = 80.15% probability that the student has the flu
please helppppppppppp...... 17 points
Answer:
x = 24.5
Step-by-step explanation:
the angles form a straight line, and a straight line equals to 180°
=> (5x + 8) + (3x - 24) = 180
=> 8x = 196
=> x = 24.5
write a real world problem that could be represented by 1/5 x 5 = 1
Answer:
Each person received 1/5 of a pizza. There were 5 people in total. How much pizza was there originally before the split?
Find the volume of a cone with a base diameter of 8 in and a height of 6 in. Write the exact volume in terms of pi, and be sure to include the correct unit in your answer.
Volume of a cone = pi x r^2 x h/3
Volume = pi x 4^2 x 6/3
Volume = 32pi cubic inches ( in.^3)
12 + 22 u = PLS HELP
Answer:
34
Step-by-step explanation:
4-(6x1000)+99-490=
i need u guys help and thank you
Answer:
-6387
Step-by-step explanation:
I have a feeling you're just giving away points :)
What is the cost with sales tax for the phone? Assume that the sales tax is 6%, or 0.06 times the price.
Answer:
$0.06x
Step-by-step explanation:
Well, you didn’t give us a value for the phone so let’s say the phone is x. . .
Let x=the price of the phone.
x * 0.06=0.06x
Answer:
Step-by-step explanation:
a
What is all the partial products for 3.4 x 1.2
Answer:
4.09
Step-by-step explanation:
Hope it helps. That is the answer
The partial product of 3.4 x 1.2 is (3 + 0.4) x (1 + 0.2).
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
3.4 x 1.2
3.4 is equal to 3 + 0.4.
1.2 is equal to 1 + 0.2.
Now,
(3 + 0.4) x (1 + 0.2)
= 3 + 0.6 + 0.4 + 0.08
= 3 + 1 + 0.08
= 4 + 0.08
= 4.08
Thus,
3.4 x 1.2 is equal to (3 + 0.4) x (1 + 0.2).
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Find the accumulated value of an investment of $14,000 at 10% compounded semiannually for 11 year
Given:
Principal = $14000
Rate of interest = 10% compounded semiannually.
Time = 11 years.
To find:
The accumulated value of the given investment.
Solution:
Formula for amount or accumulated value after compound interest is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is the principal values, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.
Compounded semiannually means interest compounded 2 times in an years.
Putting [tex]P=14000,r=0.10,n=2,t=11[/tex] in the above formula, we get
[tex]A=14000\left(1+\dfrac{0.10}{2}\right)^{2(11)}[/tex]
[tex]A=14000\left(1+0.05\right)^{22}[/tex]
[tex]A=14000\left(1.05\right)^{22}[/tex]
[tex]A\approx 40953.65[/tex]
Therefore, the accumulated value of the given investment is $40953.65.
Answer:
A = $41,867.06
A = P + I where
P (principal) = $14,000.00
I (interest) = $27,867.06
Step-by-step explanation:
Given: Investment = $14,000 Annual Rate: 10% compounded semiannually = 11 year
To find: The accumulated value of an investment
Formula: [tex]A = P(1 + \frac{r}{n}) ^n^t[/tex]
Solution: First, convert R as a percent to r as a decimal
r = R/100
r = 10/100
r = 0.1 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 14,000.00(1 + 0.1/12)(12)(11)
A = 14,000.00(1 + 0.008333333)(132)
A = $41,867.06
Henceforth:
The total amount accrued, principal plus interest, with compound interest on a principal of $14,000.00 at a rate of 10% per year compounded 12 times per year over 11 years is $41,867.06.
Mark had 3 times as many quarters as nickels. He had $1.60 in all. How many nickels and how many quarters did Mark have? x represents . 3x represents .
Answer:
x represents nickels = 2
3x represents number of quarters = 6
Step-by-step explanation:
x represents nickels
3x represents number of quarters
We'll multiply each of those times the value of the coin they represent, and make that equal to the total amount of money Mark has to get the value of x
x(0.05) + 3x(0.25) = 1.60
0.05x + 0.75x = 1.60
0.80x = 1.60
x = 2 = number of nickels
So 3x = 6 = number of quarters
Checking the math:
2(0.05) + 6(0.25)= 0.10 + 1.50 = 1.60
(PLEASE HELP) A group of people are sharing some pie. Each person gets the same amount of pie.
Which sentence represents each person getting of a pie?
A. 4 people share 1/5 of a pie.
B. 5 people share 1/4 of a pie.
c. 4 people share 5 pies.
D. 5 people share 4 pies.
Answer:
a.4 people share 1/5 of a pie
Step-by-step explanation:
When 1 is added to one-half of number x, the result is 3. What is the value of x?
A) 1
B) 3
C) 4
D) 6
E) 8
And why?
Answer:
C) 4
Step-by-step explanation:
1 + x/2 = 3
x/2 = 2
x = 4
The value of x is 4.
Start with 4. Half of 4 is 2. Add 1. You get 3. 4 makes the problem work, so 4 is the answer.
Answer: C) 4
Determine the missing length in each right triangle using the Pythagorean theorem. Round the answer to the nearest tenth, if necessary.
Answer:
answer is 9 yd
Step-by-step explanation:
The missing length in right triangle by using the Pythagorean theorem is,
⇒ 9 yards
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
We have to given that;
In a right triangle,
Hypotenuse = 15 yd
Perpendicular = 12 yd
Hence, By Pythagoras theorem;
Base² = 15² - 12²
Base² = 225 - 144
Base² = 81
Base = √81
Base = 9 yards
Thus, The missing length in right triangle by using the Pythagorean theorem is,
⇒ 9 yards
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The side length of thr hexagon is 16 centimeters,and the length of the digonal shown is 32 centimeters. Charles measured the height of one of trapezoids and found that the height of one of the trapezoids and found that the height was 13.9 centimeters. Find the area of the hexagon.
Answer:
669cm2
correct question
Charles drew a regular hexagon and divided it into two identical trapezoid , the side length of the hexagon iscoming16cm,the diagonal shown in fig 30 is 32 cm Charles measure the height of one the trapezoid and found that the height was 13.9 cm find the area of the area
Step-by-step explanation:
The side length of the hexagon should be given which is 16 cm
To get the Length the side length makes with the height of the trapezium, Pythagoras theorem is applied to get the base of the triangle
Base = √((16)^2 - (13.9)^2
Base = √62.29
Base = 7.92cm
Since we have gotten the base
Diagonal - the base gives the top length of the trapezium.
32- 7.92- 7.92 = 16.16
The area of the hexagon gives the 2 times of the trapezium.
To find the area of the trapezium
= 1/2 * ( a+b)h
= 1/2* ( 32+ 16.16)* 13.9
= 24.04*13.9
Area of the trapezium = 334.71cm2
= 334.71 * 2
= 669.42cm2
Hope this helps
Janice spent $36 on a cake and had $27 left. What fraction of her money did she spend on the cake?
Answer:
25%
Step-by-step explanation:
36-27= 9/36= 0.25 x 100 = 25%
PLS HELP WILL GIVE BRAINLIEST
Malcolm's net worth is $3,475. His liabilities are $7,650.
What is the total
value of his assets?
A.) 3,475
B.) 7,640
C.) 10,005
D.) 11,115
The solution is, D.) 11,115 is the total value of his assets.
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
here, we have,
given that,
Malcolm's net worth is $3,475.
His liabilities are $7,650.
now, we have,
the total value of his assets is:
we just have to add them.
$3,475 + $7,650
=11125
Hence, The solution is, D.) 11,115 is the total value of his assets.
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When solving the equation below, what step do you need to take to get the variable by itself?
x/−2=19
a.divide by -2
b.add -2
c.multiply by -2
d.multiply by 2
Answer:
Add -2
Explanation:
X / -2 = 19
19 + 2
= 21
x = 21
Sorry but my answer got deleted because someone reported it trying to get me banned can you please reward me branliest Again
Which series of transformations maps △ABC to △A′B′C′?
Two triangles with vertices A (1, 6), B (5, 0), C (5, 6), & A prime (8, negative 1), B prime (2, negative 5), C prime (8, negative 5).
© 2020 StrongMind. Created using GeoGebra.
Select all that apply.
a translation right 2 units and a rotation 270∘ counterclockwise about the origin
a rotation 90∘ clockwise about the origin and a translation right 2 units
a translation right 2 units and a rotation 90∘ clockwise about the origin
a rotation 270∘ counterclockwise about the origin and a translation right 2 units
C - When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes A'(y,-x). This means, we switch x and y and make x negative
PLSSSS HELP ME ALOT OF CREDITS AND BRAINLIST IF YOU HELP ME!!!!!
G. A. B. O
By probability in the chart, it goes from most to least that is grapes, apples, bananas and oranges
7W + 3 = -4W - 85
a. -11
b. 11
c. 8
d. -8
For every four female students in a training class, there are two men. There are seven male students. What is the total number of students in cass?
Answer:
it may be 19 or 20 but I may be wrong
Step-by-step explanation:
sorry if I'm wrong
Hey, can someone please help me? I’m pretty sure the answers are B and D but I just wanna make sure.
Answer:
yes b and d
Step-by-step explanation:
what is the product of 4/5 and 6/7
y=(x-1)^2-9 standard form
Answer:
Y=x^2-2x-8
Step-by-step explanation:
rgbrgbrgbgbeefweuvhuuvhduvwg
The standard form of the equation y=(x-1)²-9 is y=x²-2x-8
What is Equation?Two or more expressions with an Equal sign is called as Equation.
y=(x-1)²-9 equation is in the form of a quadratic equation
where y is the unknown variable and x is the known variable.
The equation can be written in standard form by expanding the (x-1)² term and combining like terms.
y=(x-1)²-9
y=x²+1-2x-9
Combine the like terms
y=x²-2x-8
The expanded form of the equation is y=x²-2x-8
Hence, the standard form of the equation y=(x-1)²-9 is y=x²-2x-8
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Elise is standing on top of a 48 foot building, and her height to her eye is 5.1 feet. Elise sees her friend, Molly standing on the ground. If Molly is 29.6 feet away from the base of the building and you wanted to find the angle of depression from Elise's eyes to Molly's feet, please write the final form of the equation you would use to determine the angle of depression.
Intitial set up equation:
Final equation (\angle∠ of depression = )
Answer:
Drip is the only answer
Step-by-step explanation:
Please Help (no links)
Answer:
The answer is d
On the number line, plot and label all numbers with an absolute value of 32. Where did you place the points?
Answer:
on 32 and -32
Step-by-step explanation:
ye I need some help, please
Answer:
(1,0) (2,1) (4,4)
y<x+1 (for the dashed line)
y≥-2x+2 (for the solid line)
Step-by-step explanation:
find the opposite of the integer 10
Which equation shows how to find the
angle measure of the part of the circle
without the arrow?
Both table A and Table B below represent linear relationships.
Based on the information in the tables, which statement is true?
Group of answer choices
Both Table A and Table B represent proportional relationships.
Table A represents a proportional relationship but Table B does not.
Neither Table A nor Table B represent a proportional relationship.
Table B represents a proportional relationship but Table A does not.
Answer:
Both represent a proportional relationship
Step-by-step explanation:
This is because when the independent variable in each table increases, the dependent variable increases as well, making the relationship proportional.
