Given :
The probability of someone having a reaction to a medication is 0.025 .
To Find :
The probability of two out of tree people having a reaction.
Solution :
Let, P is the probability of two out of tree people having a reaction.
So, P = ( first had reaction ) × ( second had reaction ) × ( third do not had reaction )
P = 0.025 × 0.025 × ( 1 - 0.025 )
P = 0.00061
Hence, this is the required solution.
Katie bought 2 blocks of cheese and 3 loaves of bread for $12.00. Jenny bought 4 blocks of cheese and 2 loaves of bread for $ 16.00. How much does each block of cheese cost? How much does each loaf of bread cost?
Answer:
cheese = $3 load of bread = $2
Step-by-step explanation:
to check:
2c + 3b = 12
2(3) + 3(3) = 12
6+6=12
Need help ASAP it’s due tonight and I don’t understand
Answer:
13 of August,
Step-by-step explanation:
All of them worked together at day number zero (August 1).
We know that Elvis works every 3rd day
So he will work at:
day 3, day 6, day 9, etc.
We know that Izzy works every 4th day, then she will work at:
day 4, day 8, day 12, etc.
We know that Janaisa works every 6th day, so she will work at:
day 6, day 12, etc.
We just need to find a day where the 3 of them work, this is equivalent to finding a common multiple of the numbers: 3, 4 and 6.
To do it, we can just write the multiples of each one of these numbers and see which one is the first common multiple:
3)
3*1 = 3
3*2 = 6
3*3 = 9
3*4 = 12
3*5 = 15
...
4)
4*1 = 4
4*2 = 8
4*3 = 12
4*4 = 16
...
6)
6*1 = 6
6*2 = 12
So we can see that 12 is a common multiple of the 3 numbers.
Then they will work together 12 days after August 1th.
That would be the 13 of August,
Plz help me What is the x-coordinate of the point (6, 8)?
Answer:
6
Step-by-step explanation:
(X,Y)
A company that manufactures light bulbs finds one out of every twenty
light bulbs are defective (broken). In a sample of 100 light bulbs, how many
should the company expect to be defective? (YOU CAN PUT A WHOLE
NUMBER FOR THE ANSWER)
Answer: 5
Step-by-step explanation: P(broken bulb) = 1/20 =0.05
Estimated value E = np = 100·0.05 = 5
Solve the following equation by elimination method
2x + y = 25
3x – 2y = 20
Answer:
First multiply the first equation by 2
2(2x + y = 25)
You'll have
4x + 2y = 50
Rewrite both equations
4x + 2y = 50
3x - 2y= 20
Add from the first equation you'll get
7x = 70... X = 10
Substitute x in one of the equations:
3(10) - 2y = 20
30 - 2y = 20
-2y = -10
y = 5
multiply 8(-p+8) plz
Answer:
-8p+64
Step-by-step explanation:
Multiply each term in parentheses by 8
8×-p= -8p
-8p+8×8 (8×8=64)
= -8p+64
What is the period of f(x) = sin(x)?
Answer:
2π!
Step-by-step explanation:
edge :)
f(x) = x2. What is g(x)?
A. g(x)=1/5x^2
B. g(x) = 5x^2
c. g(x) = 25x²
D. g(x) = (5x)2
i’m need of help right now please please please
Answer:
B. y = 5x²
Step-by-step explanation:
As you can see, g(x) is a proper parabola, so it must be some variation of y = x².
Because the vertex of the parabola remains at (0, 0), know that there is no translation, so all we need to account for is the scale.
In the graph we can see that where x is equal to 1, y is equal to 5. On a normal parabola that would instead be (1, 1), so we know that the y axis is scaled by a factor of five. With that we can say that y = 5x².
Tail-feather length in birds is sometimes a sexually dimorphic trait. That is, the trait differs substantially for males and for females. Researchers studied the relationship between weight (x) and tail-feather length (y) in a sample of five wild male longtailed finches. Here are the data:
Weight Tail Length
20.5 82.5
19.1 82.5
15.9 67
16.7 70.5
15.7 73.5
The value of the linear correlation coefficient between weight and tail feather length is approximately : _________
Answer:
Step-by-step explanation:
it's about 18, as per the graph
A bag of M&Ms contains 7 blue, 4 brown, 4 orange, 2 yellow, 3 red, and 3
green. Reaching into the bag, a person grabs 5 M&Ms.
What is the probability of getting 3 blues?
Answer:
0.1248 = 12.48% probability of getting 3 blues.
Step-by-step explanation:
The M&Ms are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
7 + 4 + 4 + 2 + 3 + 3 = 23 total M&Ms, which means that [tex]N = 23[/tex]
Sample of 5 means that [tex]n = 5[/tex]
7 blue means that [tex]k = 7[/tex]
What is the probability of getting 3 blues?
This is P(X = 3).
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 3) = h(3,23,5,7) = \frac{C_{7,3}*C_{16,2}}{C_{23,5}} = 0.1248[/tex]
0.1248 = 12.48% probability of getting 3 blues.
Wanda Earned $350 babysitting over the months of July and August. She earned $90 more in August than in July. How much did she earn babysitting in July? In August?
Answer:
85
Step-by-step explanation:
350/2= 175
175+90= 265
350-265=85
Helpppp please please THIS IS TIMED NO LINKS or I will report YOUU I WILL MARK BRAINLIEST Please give me an explanation
Answer:
14800
Step-by-step explanation:
Area of trapezoid = [tex]A=\frac{a+b}{2}h[/tex]
Using the formula above, our equation will look like this:
[tex]\frac{145 + 225}{2} * 80 = 14800[/tex]
145 + 225 = 370
370/2 = 185
185 * 80 = 14800
PLZ GIVE BRAINLIEST
what point has coordinates (3 1/2, 1)
A. Point J
B. Point M
C. Point N
D. Point O
Answer:
The answer is B Point M
Hope this helps as well! :)
Step-by-step explanation:
Order the steps for solving this equation using the quadratic formula
X^2 + 3x - 4 = 0
Answer:
Step-by-step explanation:
The steps required to solve the given equation is required.
First step: Identify a = 1, b = 3 and c = -4
Second step: [tex]x=\dfrac{-3\pm \sqrt{3^2-4\times 1\left(-4\right)}}{2\times1}[/tex]
Last step: x = 1 and x = -4
Quadratic equationThe given equation is
[tex]x^2+3x-4=0[/tex]
Comparing with the general quadratic equation [tex]ax^2+bx+c=0[/tex] we have
a = 1
b = 3
c = -4
Applying the formula
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\Rightarrow x=\dfrac{-3\pm \sqrt{3^2-4\times 1\left(-4\right)}}{2\times1}\\\Rightarrow x=1\ \text{and}\ -4[/tex]
Learn more about solving quadratic equations:
https://brainly.com/question/1214333
Calculate the magnitude and angle of the vector.
B = −2x+2y
Answer:
Magnitude: [tex]2\sqrt{2}[/tex], Angle: 135 degrees
Step-by-step explanation:
The magnitude of the vector ax + by is
[tex]\sqrt{a^2+b^2}\\\\\sqrt{(-2)^2+2^2}\\\\\sqrt{4+4}\\\\\sqrt{8}\\\\2\sqrt{2}[/tex]
The angle (in Standard Position) is 135 degrees.
See attached images.
PLEASE HELP ASAP!!!!!!
The table below shows the lowest temperature, in degrees fahrenheit, on each of 5 days. What is is mean lowest temperature, in degrees fahrenheit, in the city for those 5 days?
-36
-25
12
-3
18
Answer: -6.8
Step-by-step explanation:
First you have to find the mean of all the #’s so to do that you will have to add all the #’s up including the negatives and you would get -34, after you do that you will have to divide by 5 and get -6.8
Two sprinters, Victor and Aaron, want to find out who has the faster time when compared to each of their teams. Victor has a time of 10.9 seconds, and his team has a mean time of 11.4 seconds and a standard deviation of 0.2 seconds. Aaron has a time of 10.6 seconds, and his team has a mean of 11.5 seconds and a standard deviation of 0.1 seconds. Who has the faster time when compared to each of their teams
Answer:
The answer is "-9".
Step-by-step explanation:
[tex]\mu = 11.4\\\\\sigma = 0.2\\\\ x = 10.9\\\\[/tex]
[tex]P(X <= 10.9)=?[/tex]
The z-value is determined using the central boundary theorem
[tex]z = \frac{(x - \mu)}{\sigma}[/tex]
[tex]= \frac{(10.9 - 11.4)}{0.2}\\\\ = -2.5[/tex]
Calculating the value for Aaron
[tex]\mu = 11.5\\\\ \sigma = 0.1\\\\ x = 10.6\\\\ P(X <= 10.6)=?[/tex]
When the z-value is calculated using Central Limit Theorem
[tex]z = \frac{(x - \mu)}{\sigma}[/tex]
[tex]= \frac{(10.6 - 11.5)}{0.1}\\\\ = -9[/tex]
Answer:
The times are equal when compared to each of their teams.
Step-by-step explanation:
Find the Area of the Triangle
Answer:
50 squared m
Step-by-step explanation:
Volume for triangles is base x hight / 2
10 x 10 = 100 / 2 = 50
need help asap WILL GIVE BRAINLIEST
A researcher reported the results from a particular experiment to the scientist who conducted it. The report states that on one specific part of the experiment, a statistical test result yielded a p-value of 0.18. Based on this p-value, what should the scientist conclude?
The test was not statistically significant because 2 × 0.18 = 0.36, which is less than 0.5.
The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 18% of the time.
The test was not statistically significant because if the null hypothesis is true, one could expect to get a test statistic at least as extreme as that observed 82% of the time.
The test was statistically significant because a p-value of 0.18 is greater than a significance level of 0.05.
The test was statistically significant because p = 1 − 0.18 = 0.82, which is greater than a significance level of 0.05.
Answer:
B
Step-by-step explanation:
I got it wrong but it showed me the right answer so, yea
You earned $1600 in interest in your savings account over 10 years at a rate of 8%. How much money did you originally deposit into your savings account?
A = p(1+r)^t
1600 = p(1+0.08)¹⁰
P = 1600/2.1589
P= 741.12
741.12 dollar money did you originally deposit into your savings account!
Which statement describes the solution(s) to the system of equations -6x -3y =12 and -12x -6y= -24?
A. The system has a solution of (-2, -1)
B. The system has a solution of (3, -2)
C. The system has no solution.
D. The system has infinitely many solutions.
Answer:
C
Step-by-step explanation:
i had the same question on my test lol
What is the value of (−2)3 ?
Group of answer choices
-5
-6
-8
8
9514 1404 393
Answer:
-6 or -8, depending on what you mean
Step-by-step explanation:
(-2)3 = -(2)(3) = -6
__
(-2)^3 = (-2)(-2)(-2) = -(2)(2)(2) = -8
A shipment of sugar fills 6 containers. If each container holds 3 3/4
tons of sugar, what is the amount of sugar in the entire shipment?
Write your answer as a mixed number in simplest form.
Answer:
Step-by-step explanation:
Firstly, change the mixed fraction into improper fraction.
Secondly, multipy 6 containers by 15/4 to get total tons of sugar.
Thus 6*15/4=22.5
An ice cream shop sold 56 vanilla milkshakes in a day, which was 25% of the total number of milkshakes sold that day. what was the total number of milkshakes that the ice cream shop sold that day?
Answer:
224
Step-by-step explanation:
please help me asap !!!!!!
Answer:
D
Step-by-step explanation:
Pretty sure its D
Look at the two temperatures. How much have they changed by?
4 degrees to -10 degrees
Answer:
[tex] \displaystyle 14[/tex]
Step-by-step explanation:
we are given two temperature
4 degrees and -10 degrees
since it says to figure out the changed
substract
[tex] \displaystyle 4 - ( - 10)[/tex]
remove parentheses and change its sign
[tex] \displaystyle 4 + 10[/tex]
simplify addition:
[tex] \displaystyle 14[/tex]
and we are done!
SUSHMA BOUGHT A SAREE FROM THE MALL. SHE PAID RUPEES 2640 FOR IT. WHEN SHE CAME HOME SHE MEASURED THE LENGTH OF THE SAREE AND FOUND THAT THE SAREE WAS HALF METRE LESS IN LENGTH THAN THE SHOPKEEPER HAD TOLD HER. SHE FOUND THAT SHE IS AT LOSS OF RUPEES 220 BECAUSE OF THIS. WHAT IS THE LENGTH OF THE SAREE WHEN AHE CAME HOME???
This is the question. please do with statements and working. will mark you brainliest.
Answer:
Let the length of the sari be xm
cost of
2
1
=Rs 220
then cost of 1m=2(Rs220)=Rs440
Cost of the sari =x(Rs440)=Rs440x
But given that the cost of sari =Rs2640
Implies that
440x = 2640
Implies that
x=
440
2640
x=6
A line has a slope of 8 and a y -intercept of 5. What is its equation in slope -intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
Step-by-step explanation:it’s abc
for triangle ABC find the measure of angle A.
Answer:
A= 63
Step-by-step explanation:
the both sides are equal so it will be 63 and 63
angle c would be 54
Adding all the sides would give 180 as all sides equal 180
4. Two cylinders have dimensions in the ratio of 2:3. The smaller cylinder has a surface area of 16 cm.
What is the surface area of the larger cylinder?
Answer:
(cross multiply)
2:3
16:X
2X=16×3
2x=48
x=48÷2
x=24