Last years' survey of blood type on 100 Ethiopian servals that 20 peoples have blood type A, 30 peoples have type B, 40 peoples have type O and the remaining have type AB. What is the probability of getting an Ethiopian with blood type A and AB?

Answer:

16428 oranges

Explanation:

Total yield = number of trees × number of oranges in each tree

Initial yield = 600×24= 14400 oranges

To find the equation needed, let x = additional trees and y= total yield

Number of trees = 24 +x

Number of oranges in each tree = 600-12x

Equation of total yield y= (24+x)(600-12x)

y= 14400-288x+600x-12x²

y= -12x²+312x+14400

Using a graphing calculator, from the graph drawn for this quadratic equation, we notice that it is a parabola. Therefore to find the maximum value, we should find the maximum point which is at the vertex of the parabola, we use the formula x= -b/2a

A quadratic equation is such: ax²+bx+c

Therefore x =-312/2×-12

x= -312/-24

x= 13

So we can conclude that in order to maximise oranges from the trees, the person needs to plant an additional 13 trees. Substituting from the above:

24+x=24+13= 37 trees in total

y= -12x²+312x+14400= -12×13²+312×13+14400= -2028+4056+14400

=16428 oranges in total yield

The number of trees that gives the most yield is 37

The given parameters are:

Represent the additional number of trees with x.

So, we have:

The equation that represents the total yield (y) becomes

[tex]y = (24 + x) \times (600 - 12x)[/tex]

Expand

[tex]y= 14400-288x+600x-12x\²[/tex]

Evaluate the like terms

[tex]y= 14400+312x-12x\²[/tex]

Rewrite as:

[tex]y= -12x\²+312x+14400[/tex]

Differentiate

[tex]y'= -24x+312[/tex]

Set to 0

[tex]-24x+312 = 0[/tex]

Solve for x

[tex]-24x=-312[/tex]

[tex]x=13[/tex]

Recall that:

Trees per acre = 24 + x

This gives

[tex]Trees = 24 + 13[/tex]

[tex]Trees = 37[/tex]

Hence, the number of trees that gives the most yield is 37

Read more about quadratic functions at:

https://brainly.com/question/11631534

Answer:

1 1/2(simplified)

Step-by-step explanation:

subtracting 1 from 2 is one and then 1/4 from 3/4 which is 2/4 simplifying makes it 1/2

Answer:

Step-by-step explanation:

Answer:

4.62910049578

Step-by-step explanation:

variation is standard deviation squared

variance = 21.428571428571

square root variance for answer.

Answer:

45/1

Step-by-step explanation:

45x is the rate at which the line goes up

Answer:

65/140

as a percentage is 46.43

hundredth rounding

46.4

Step-by-step explanation:

Answer:

y = 0.75x + 53.67

Step-by-step explanation:

Answer:

y=53.67+0.75x

Step-by-step explanation:

53.67 is the initial price upon paying to rent the car. 0.75 is for additional mile, so it is multiplying x in order for it to count for the mileage. Finally it is equivalent to Y because Y will be the final cost.

Answer: a.) $50188 to $57812

Step-by-step explanation: Confidence Interval (CI) is an interval of values in which we are confident the true mean is in.

The interval is calculated as

x ± [tex]z\frac{s}{\sqrt{n} }[/tex]

a. For a 95% CI, z-value is 1.96.

Solving:

54,000 ± [tex]1.96.\frac{6000}{\sqrt{12} }[/tex]

54,000 ± [tex]1.96\frac{6000}{3.464}[/tex]

54,000 ± 1.96*1732.102

54,000 ± 3395

This means the interval is

50605 < μ < 57395

With a 95% confidence interval, the mean starting salary of college graduates is between 50605 and 57395 or from 50188 to 57812$.

b. The mean starting salary for college students in 2017 is $50,516, which is in the confidence interval. Therefore, since we 95% sure the real mean is between 50188 and 57812, there was no significant change since 2017.

Answer:

The conclusion of the scientist should be that the results are statistically significant and that there is a high probability that the mice brains doubled in sizes after watching the videos

Step-by-step explanation:

The complete question is as follows;

A scientist studies the development of brain size in mice, believing that exposure to statistics videos is related to brain development.. After having mice intensively watch statistics videos, the scientist discovers that mice have doubled the size of their brains. After running a statistical test on the difference, the scientist obtained a p-value of .04. What should the scientist conclude, assuming an a=.05?

Solution;

We start by forming the null hypothesis

The null hypothesis H0 here is that;

The mice have not doubled the sizes of their brains after watching the the videos

While the alternative hypothesis H1 is that the mice have double their brain sizes after watching the videos

To know what to conclude, we will need to look at the p-value obtained

The p-value we have here is 0.04 which is less than 0.05 and thus , shows the existence of a strong evidence against the null hypothesis which means we will have to accept the alternative

Hence, the conclusion of the scientist should be that the results are statistically significant and that there is a high probability that the mice brains doubled in sizes after watching the videos

Answer:

3/5

Step-by-step explanation:

Answer:

graph D.

Step-by-step explanation:

The inequality that is being shown in the question means that the value of x is equal to or greater than 9. Greater values are represented as all of the values to the right of a certain number. On a number line "equal to" is represented by  a closed circle. Therefore, with this knowledge we can see that out of all of the provided options the only one that follows these set of rules would be graph D.

Answer:

6 were not playing games

Step-by-step explanation:

Answer: the answer is

24

Step-by-step explanation:

This is to you! you are a brilliant and sweet person. you are loved by many. if you send this out to 15 people in the next hour you will have the best of luck for a year. if you send it to 30 people in the next year than your crush will ask you out soon. Don't break the chain or you will have 7 years of bad luck. go!

A: Love

B:Because your bored

C: Sad

D:Mad

Don't judge people for their beliefs. I'm watching...

Thank you for listening. Take care, and NEVER GIVE UP!

Answer: 2x + 4

Step-by-step explanation:

the first thing i did was look at the y-intercept, and compare that to the y-intercepts in the answers. luckily, all of the y-intercepts in the answers are different. the line passes through the y-axis, at positive 4, so we automatically know that's the answer

Answer:

A) A ∩ C means in both sets, in this case A and C, and in this question all students both over 20 years and with social stratum of 1, 2 and 3.

B) A ∪ B means in either set or both, both will do, in this case meaning all students in A or B or any in between, and in this question all students over 20 years and/or are women.

C) As is already explained above, B  ∪ C means in this question all students that are women and/or have social stratum of 1, 2, and 3.

D) This is the same as A). Refer to A).

E) A ∪ C is already explained above, and in this question means all students over 20 years and/or have social stratum of 1, 2, and 3.

F) Same as E). Refer to E).

G) Same as A). Refer to A).

H) A ∩ B ∩ C means in students in all three sets simultaneously, and in this question all students that are over 20 years, women, and with social stratum of 1, 2 and 3.

I) A - B, in set theory would mean all students in A but not in B, in other words the difference. In this question, it would mean all students over 20 years that are not women.

J) (A - B) ∩ C would mean, as already explained above, all students over 20 years that are not women and with social stratum of 1, 2 and 3. Usually, it's easier to treat all unions or intersections or whatnot inside brackets as one whole thing, kind of like how you do algebra.

K) B 4 C is nonsensical, there is nothing in set theory like this.

L) Same as K).

The given description between C) and D) would be that they are the same, and comparing F) and G), it seems that the question is trying to make the point that they are almost the same but defined differently.

Step-by-step explanation:

Hope this helped!

Answer:

Step-by-step explanation:

1. commission

2. percent

3. repeating decimal

4. terminating decimal

5. tip

Answer:

y= -3/1  plus 5

Step-by-step explanation:

correct me if im wrong u can just write -3 instead of -3/1

Your expression is a little unclear, but I am assuming your expression as:

[tex]7+\frac{2x}{4}=5[/tex]

The solution would still clear your concept in anyway.

Answer:

The value of x = -4

Step-by-step explanation:

Given the expression

[tex]7+\frac{2x}{4}=5[/tex]

solving the expression

[tex]7+\frac{2x}{4}=5[/tex]

as 2x/4 =  x/2, so

[tex]7+\frac{x}{2}=5[/tex]

subtract 7 from both sides

[tex]7+\frac{x}{2}-7=5-7[/tex]

simplify

[tex]\frac{x}{2}=-2[/tex]

Multiply both sides by 2

[tex]\frac{2x}{2}=2\left(-2\right)[/tex]

simplify

[tex]x=-4[/tex]

Thus, the value of x = -4

Answer:

What am i supposed to be solving please give more description

Step-by-step explanation:

Step-by-step explanation:

A=102cm2

A=Lengthxbreadth

102=Lengthx6

Length=17 cm

Answer:

Pentagonal Pyrimid

Step-by-step explanation:

Answer:

603 hope this helps

Answer:

x = 2

y = 1

z = 4

Step-by-step explanation:

Step 1:

2x + y + z = 9

3x - y = z = 9

5x + 2z = 18 <-- add x and y

Step 2:

-x -y + z = 1

2x + y + z = 9

x + 2z = 10

Step 3:

-(x + 2z = 10) = -x - 2z = -10

5x + 2z = 18

-x - 2z = -10

4x = 8

x = 2

Step 4: solve for z

-x - 2z = -10 <-- Plug x

-(2) - 2z = -10

-2z = -8

z = 4

Step 5: solve for y

2x + y + z = 9

2(2) + y + 4 = 9

8 + y = 9

y = 1

Answer:

4 gallons=16 quarts

Step-by-step explanation:

Brainliest me pls

Have a nice day!

Answer:

16 Quarts

Step-by-step explanation:

First I figured out how many quarts are in a gallon which is 4.

Then I multiplied 4 by 4 which gives you 16.

Hope This helps! ^w^

Answer:

No

Step-by-step explanation:

I feel like that we are just humans dont really matter

Answer: B the second answer

Step-by-step explanation:

Answer:

a)  A simple random sample of 340 employees

b)  a) Cluster sample

Step-by-step explanation:

a) Remember, the sample size of most research work is a factor to consider in other to determine if the data collected represents the true percentage of the entire population.

Hence, a small random sample of 34 employees will not give more precise information than a larger sample of 340 employees because the larger sample contains more representation of the population.

b) A cluster sample is best used in this case because it involves dividing the population into several clusters or groups, then the researcher randomly selects a particular cluster or group in other collect research data for analysis.

Whereas in this case, the randomly selected clusters are the different (individual restaurant) franchise locations.