The probability that a randomly chosen person from the united states can donate blood to maria is 0.50
considering blood to be of types A,B,AB and O
further all blood groups are equi probable
Probability of blood type A = probability of blood type B = probability of blood type AB = probability of blood type O = x
Probability of blood type A + probability of blood type B + probability of blood type AB + probability of blood type O = 1
⇒ 4x = 1
⇒ x = 1/4
Probability that a random person will have blood of type B or O = x+x
= 1/4 + 1/4
= 1/2
= 0.50
Hence we get the required answer.
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can someone simplify this please
(x+6)+(3x+5)
Answer:4x+11
Step-by-step explanation:
The parenthesis are useless so you just combine like terms
x = -4z - 19
y= 5x + z - 4
-5y - z = 25
Answer:
x = 1, y = -4, z = -5
Step-by-step explanation:
Solve the following system:
{x = -4 z - 19 | (equation 1)
{y = z + 5 x - 4 | (equation 2)
{-z - 5 y = 25 | (equation 3)
Express the system in standard form:
{x + 0 y + 4 z = -19 | (equation 1)
{-(5 x) + y - z = -4 | (equation 2)
{0 x - 5 y - z = 25 | (equation 3)
Swap equation 1 with equation 2:
{-(5 x) + y - z = -4 | (equation 1)
{x + 0 y + 4 z = -19 | (equation 2)
{0 x - 5 y - z = 25 | (equation 3)
Add 1/5 × (equation 1) to equation 2:
{-(5 x) + y - z = -4 | (equation 1)
{0 x + y/5 + (19 z)/5 = -99/5 | (equation 2)
{0 x - 5 y - z = 25 | (equation 3)
Multiply equation 2 by 5:
{-(5 x) + y - z = -4 | (equation 1)
{0 x + y + 19 z = -99 | (equation 2)
{0 x - 5 y - z = 25 | (equation 3)
Swap equation 2 with equation 3:
{-(5 x) + y - z = -4 | (equation 1)
{0 x - 5 y - z = 25 | (equation 2)
{0 x + y + 19 z = -99 | (equation 3)
Add 1/5 × (equation 2) to equation 3:
{-(5 x) + y - z = -4 | (equation 1)
{0 x - 5 y - z = 25 | (equation 2)
{0 x + 0 y + (94 z)/5 = -94 | (equation 3)
Multiply equation 3 by 5/94:
{-(5 x) + y - z = -4 | (equation 1)
{0 x - 5 y - z = 25 | (equation 2)
{0 x + 0 y + z = -5 | (equation 3)
Add equation 3 to equation 2:
{-(5 x) + y - z = -4 | (equation 1)
{0 x - 5 y + 0 z = 20 | (equation 2)
{0 x + 0 y + z = -5 | (equation 3)
Divide equation 2 by -5:
{-(5 x) + y - z = -4 | (equation 1)
{0 x + y + 0 z = -4 | (equation 2)
{0 x + 0 y + z = -5 | (equation 3)
Subtract equation 2 from equation 1:
{-(5 x) + 0 y - z = 0 | (equation 1)
{0 x + y + 0 z = -4 | (equation 2)
{0 x + 0 y + z = -5 | (equation 3)
Add equation 3 to equation 1:
{-(5 x) + 0 y + 0 z = -5 | (equation 1)
{0 x + y + 0 z = -4 | (equation 2)
{0 x + 0 y + z = -5 | (equation 3)
Divide equation 1 by -5:
{x + 0 y + 0 z = 1 | (equation 1)
{0 x + y + 0 z = -4 | (equation 2)
{0 x + 0 y + z = -5 | (equation 3)
Collect results:
Answer: {x = 1, y = -4, z = -5
A scientist needs 60 milliliters of buffer solution for each of 15 experiments. She has a bottle that contains 730 milliliters of buffer solution. Is there enough buffer solution in the bottle for all 15 experiments?
Flora Kenyon made a deposit of $1,600 to her savings account on July 1. For the next year she made no other deposits or withdrawals. Her bank pays an annual interest of 3.1% compounded quarterly. Find the interest earned by Flora by July 1 of the next year.
Answer:
A = $1,650.24
Step-by-step explanation:
A = P(1 + r/n)^nt
Where
A = future value
P = present value = $1,600
r = interest rate = 3.1% = 0.031
n = number of periods = 4
t = time = 1 year
A = P(1 + r/n)^nt
= 1,600( 1 + 0.031 / 4)^4*1
= 1600( 1 + 0.00775)^4
= 1600(1.00775)^4
= 1600(1.0314)
= 1,650.24
A = $1,650.24
what is 8.22 divided by 6.0
( in science )
Answer:
1.37
Step-by-step explanation:
hope this can help u
Show that (a+b)^2=4p^2
LHS :-
( a + b)²(P + q + P - q)²(2p)²2²p²4p² = RHSA subset h of a vector space v is a subspace of v if the zero vector is in h.
a. True
b. False
Answer: TRUE
SUIIIIIIIII
The statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.
What is the subspace of a vector?A subspace is a vector space that is also encompassed within another vector space.
So, while each subspace is a vector space in its own right, it is also defined with respect to another (bigger) vector space.
Three components must be demonstrated to prove that a subset is a subspace:
Additionally, demonstrate that it is closed.
Show that it is closed when scalar multiplication is used.
Show that vector 0 is a part of the subset.
As it is stated in the question;
h represents a subset of the vector space v.
The zero vector is contained in h.
This implies that h must be in the v subspace.
Hence, the statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.
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Josiaanswer this is it josia the question
Answer:
6? i am soooo confused
Step-by-step explanation:
what is the Greatest common Factor of 13 and 26
Step-by-step explanation:
Start by listing the factors for both of the numbers
13 (it's a prime number)
1, 13
---------------------------------------------------------------------------
26
1, 26
2, 13
----------------------------------------------------------------------------
Both of the numbers have 2 common factors: 1 and 13
Since 13 is greater than 1, 13 would the the GCF(greatest common factor)
I hope this helps!!!
The expression 2x² + ax is equivalent to x (2x + 7) for some constant a. What is the value of a ?
The ratio of a to b is 4/7. If a is 16, find the value of b.
Answer:
B=28
Step-by-step explanation:
At a coffee shop, the first 100
customers' orders were as follows.
Small
Medium
Large
Hot
5
48
22
Cold
8
12
5
What is the probability that a customer
ordered a small given that he or she
ordered a hot drink?
P( Small | Hot ) = [?]
Round to the nearest hundredth.
The probability that a customer ordering a small, given that he or she ordered a hot drink, is 0.066 or 6.66%
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Total number of small = 5
Total number of hot = 5+48+22 = 75
Probability = 5/75 = 0.066 or 6.66%
Thus, the probability that a customer ordered a small given that he or she ordered a hot drink is 0.066 or 6.66%
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Answer: 0.07
Step-by-step explanation:
the blue catfish (ictalurus furcatus) is the largest species of north amercian catfish. the current world record stands at 143 pounds, which was caught in the john h. kerr reservoir (bugg's island lake) located in virginia. according to amercian expedition, the average weight of a blue catfish is between 20 to 40 pounds. given that the largest blue catfish ever caught was at the john h. kerr reservoir, you believe that the mean weight of the fish in this reservoir is greater than 40 pounds. a) if you going to test this claim at the 0.05 significance level, what would be your null and alternative hypotheses?
The t-value using the sample mean, sample standard deviation, sample size and the hypothesized mean of 40 pounds.
The calculated t-value is greater than the critical t-value, we would reject the null hypothesis in favor of the alternative hypothesis, concluding that the mean weight of blue catfish in the reservoir is indeed greater than 40 pounds.
To test the claim that the mean weight of blue catfish in the John H. Kerr Reservoir is greater than 40 pounds, we can set up the null and alternative hypotheses as follows:
Null Hypothesis (H0):
The mean weight of blue catfish in the John H. Kerr Reservoir is 40 pounds or less.
Alternative Hypothesis (Ha):
The mean weight of blue catfish in the John H. Kerr Reservoir is greater than 40 pounds.
In mathematical notation:
H0: μ ≤ 40
Ha: μ > 40
Here, μ represents the population mean weight of blue catfish in the reservoir.
By assuming that the average weight of blue catfish in the reservoir is not significantly different from 40 pounds or less, we set up the null hypothesis.
The alternative hypothesis suggests that the mean weight is greater than 40 pounds.
To test these hypotheses, we can perform a one-sample t-test on a sample of blue catfish weights collected from the reservoir.
We can then compare the calculated t-value with the critical t-value at a significance level of 0.05.
Conversely, if the calculated t-value is not greater than the critical t-value, we would fail to reject the null hypothesis and would not have sufficient evidence to conclude that the mean weight is greater than 40 pounds.
It's important to note that conducting the actual statistical analysis requires the collection of a representative sample of blue catfish weights from the John H. Kerr Reservoir and performing the necessary calculations using appropriate statistical software or tools.
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What is the value of f ?
Answer:
60
Step-by-step explanation:
If we assume that the line is 180 degrees, we can subtract 180 and 120, to get 60. So f is 60.
Help please I don’t know it
Answer:
Step-by-step explanation:
sinC = 12/13
cosA = 12/13
The scale drawing is a map of the campus of Central Middle School. The school board needs to know
the distance from the art room to the gym in order to build a walkway.
What is the scale factor from the map to the
actual school?
scale factor =?
Answer:Scale factor is 10 , the second part is 50
Step-by-step explanation:
In a bag of marbles,there are 6 blue marbles, 7 red,5 yellow marbles and 2 green marbles. What percent of marbles are NOT yellow?
A.15%
B.20%
C.25%
D.75%
{hurry please}
Answer:
d.75%
Step-by-step explanation:
15marbles out of 20 are not yellow
Solve the following:
a.) X^2 - 2x – 24 = 0
b.) x^2 - 11x + 18 =0
Answer:
The answer for the first equation is,
X = 6, -4
The answer for second equation is,
X = 9,2
a.) X^2 - 2x – 24 = 0
x^2-6x+4x-24=0
this is expressing negative 2x as the sum of two terms which are negative 6x and positive 4x
x(x-6)+4(x-6)=0
(x+4)(x-6)=0
(x+4)=0. so x=-4
(x-6)=0 so x=6
b.) x^2 - 11x + 18 =0
Solve for y: 4x + 2y = 6
Move all terms that don't contain y to the right side and solve.
y = 3 − 2x
Answer:
Y= 2x - 3
Step-by-step explanation:
Many sheet materials used in construction, such as plywood or drywall, measure 8 feet by 4 feet. What are these dimensions in inches?
For every 15 campers at a summer camp there is 1 counselor.
Answer:30 will be 2 counselors
and 45 will have 3 counselors
Step-by-step explanation:
it adding by 15
The ratio of girls to boys in a swimming club was 2 : 4. There were 14 girls. How many total members were there in the club?
Answer:
42
Step-by-step explanation:
the ratio 2:4 can be reduced to 1:2,
where the number of girls corresponds to the 1 and the number of boys corresponds to the 2.
If there are 14 girls, then there must be 28 boys (14 x 2 = 28).
Now to get the total number we need to add the total number of boys and girls together.
So 14 + 28 = 42
Hope it helps :)
Answer:
32
Step-by-step explanation:
14 + 28 = 32
2 x 7 = 14
4 x 7 = 28
Find the panametrieation for the Iine segment joining the points (−3,0,−3) and (0,3,0)
The length of the line segment joining the points (-3, 0, -3) and (0, 3, 0) is approximately 5.20 units.
To find the length of the line segment, we can use the distance formula in three-dimensional space. The formula is:
d = √((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)
Where (x1, y1, z1) and (x2, y2, z2) are the coordinates of the two points.
In this case, we have:
(x1, y1, z1) = (-3, 0, -3)
(x2, y2, z2) = (0, 3, 0)
Plugging the values into the formula, we get:
d = √((0 - (-3))^2 + (3 - 0)^2 + (0 - (-3))^2)
= √(3^2 + 3^2 + 3^2)
= √(9 + 9 + 9)
= √27
≈ 5.20
The length of the line segment joining the points (-3, 0, -3) and (0, 3, 0) is approximately 5.20 units.
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PLEASE HELPPPPP I NEED IT RIGHT THIS MINUTE PLEASEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
The answer is 3
Step-by-step explanation:
1/4(16 + 4)-2 = 3
Hope this helped ya
Answer:
1/4(16+4)-2
1/4(20)-2
5-2
3
Step-by-step explanation:
Donna bought 3 bags of dog treats for $6.03. What is the cost per bag of dog treats?
Write an equation of the line that passes through (-4,-1) and is perpendicular to the line y =4/3x-1
Answer:
y = -3/4 -1
Step-by-step explanation:
The slope will be a negative recipricol of the original line
Edit : Grammar
Given that k=cd2 + e find the value of c when k=3 ,d=2 and e = 5
Answer:
c = -1/2
Step-by-step explanation:
Put the known values in the equation and solve for the unknown.
k = cd² +e
3 = c(2²) +5
-2 = 4c . . . . . . . subtract 5
-1/2 = c . . . . . . divide by 4
What is the probability of a giraffe that is shorter than 14 feet? Answer choicesare rounded to the nearest whole percent. a.)8% b.)83% c.)17% .
Answer: It's A
Step-by-step explanation:
5/6 + 2/3 = ?
Your
answer
Answer:
1.5
Step-by-step explanation:
Answer:
Improper Fraction: \(\frac{10}{6}\)
Proper Fraction: \(1\frac{4}{6}\)
Simplified Proper Fraction: \(1\frac{2}{3}\)
Step-by-step explanation:
\(\frac{5}{6} + \frac{2}{3}\) Is our equation... first we must find a common denominator! Let's take a look...
6: 1, 6, 12
3: 1, 3, 6
We see that both numbers get to 6 so we use that as our common denominator. Now we plug that in...
\(\frac{5*1}{6*1} +\frac{2*2}{3*2}\)
We get...
\(\frac{5}{6} +\frac{4}{6} = \frac{10}{6}\)
Now if you want to leave it as an improper fraction your answer will be \(\frac{10}{6}\). However, if you want you answer to be a proper fraction your answer is \(1\frac{4}{6}\) which can be simplified further to,\(1\frac{2}{3}\).
Whew! What a toughie! We showed that math problem!
1. Find the GCF of 8 and 12.
List the factors of 8.
List the common factors.
Find the GCF of 15 and 20.
Math
Step-by-step explanation:
8-1,2,4,8
12-1,2,3,4,6,12
15-1,3,5,15
20-1,2,4,5,10,20