Answer:
0.121
Step-by-step explanation:
From the given information:
Let X be a hypergeometric random variable. i.e X [tex]\sim[/tex] h (x;:6,7,12)
To determine the mean and the standard deviation of X of a hypergeometric random variable; we have:
[tex]\mu_x = E(X)[/tex]
[tex]\mu_x = 6 \times \dfrac{7}{12}[/tex]
[tex]\mu_x =1 \times \dfrac{7}{2}[/tex]
[tex]\mu_x =3.5[/tex]
The standard deviation is :
[tex]\sigma _x = \sqrt{(\dfrac{12-6}{12-1}) \times 6 \times (\dfrac{7}{12})\times (1-\dfrac{7}{12})}[/tex]
[tex]\sigma _x = \sqrt{(\dfrac{6}{11}) \times 6 \times (\dfrac{7}{12})\times (\dfrac{5}{12})}[/tex]
[tex]\sigma _x = \sqrt{\dfrac{35}{44}}[/tex]
[tex]\sigma _x = 0.892[/tex]
However, the inequality for the event showcasing how X exceeds its mean value by more than 1 standard deviation is :
[tex]X \geq \mu_x +\sigma_x[/tex]
[tex]X \geq 3.5 +0.892[/tex]
[tex]X \geq 4.392[/tex]
[tex]X \geq 5[/tex]
∴
[tex]P(X \geq \mu_x + \sigma_x ) = P(X \geq 5)[/tex]
[tex]P(X \geq \mu_x + \sigma_x ) = 0.121[/tex]
[tex]\huge\boxed{PLEASE\;HELP!}[/tex]
Answer:
y=1x+2
Step-by-step explanation:
do [tex]y2-y1 / x2-x1[/tex] to get m(slope)
y1=2
x1=0
y2=0
x2=-2
then do y=mx+b
1=m(slope)
2=b(y-intercept)
Hope this wasn't to confusing!
I hope this helps! :)
Answer:
[tex]\boxed{y = - 1x + 2}.[/tex]
Step-by-step explanation:
[tex]in \: order \: to \: solve \: the \: problem \: we \: invoke \\ \: the \:slope \: intercept \: form : \\ y = mx + c \\ lets \: get \: m \to \: \\ m= \frac{ y_{2} - y_{1} }{x_{2} -x_{1} } = \frac{2 - 0}{0 - ( - 2)} \\ m = \boxed{- 1}. \\to \: find \: c \: we : apply \to \\ y = mx + c...... \\ using \: any \: pair \: we \: can \: get \: c. \\ c = y - mx \\ c =2 - 1(0) \\ c = \boxed{2}. \\ hence \: the \: required \: equation \: is : \\ \boxed{y = - 1x + 2}.[/tex]
♨Rage♨
Solve the compound inequality.
2(x – 2) + 7 > –1 and 5 – 4x > 9
Ax –2 and x –2 and x < –1
Answer:
x>-2 and x<-1
Step-by-step explanation:
just do it
∝
The solution set in which all the the possible values of x which satisfy the given compound inequality is -
x ∈ A , where A = (- ∞, -1)
What is inequality?
In mathematics, inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions.
Given is the following compound inequality -
2(x – 2) + 7 > –1
and
5 – 4x > 9
Inequality - 1
2(x – 2) + 7 > –1
2x - 4 + 7 > - 1
2x + 3 > - 1
2x + 3 - 3 > - 1 - 3
2x > -4
x > -2
x < 2
Inequality - 2
5 – 4x > 9
5 - 5 - 4x > 9 - 5
- 4x > 4
-x > 1
x < - 1
Since x < - 1 and x < 2, therefore the inequality → x < -1 represent all the solutions. We can write the solution set as -
x ∈ A , where A = (- ∞, -1)
Therefore, the solution set in which all the the possible values of x which satisfy the given compound inequality is -
x ∈ A , where A = (- ∞, -1)
To solve more questions on Compound inequalities, visit the link below-
https://brainly.com/question/15305613
#SPJ2
50 points! PLEASE HELP ME !!! I need this done asap!
Answer:
See Below.
Step-by-step explanation:
We want to write a paragraph proof to prove the following theorem:
If ∠N and ∠M are congruent and supplementary, then ∠N and ∠M are right angles.
Each sentence is numbered:
1) Because ∠N and ∠M are congruent, m∠M = m∠N by the definition of congruent angles.
2) Because ∠N and ∠M are supplementary, m∠M + m∠N = 180.
3) Substitute m∠M to m∠N to get m∠M + m∠M = 180, or 2m∠M=180.
4) The Division Property of Equality then yields m∠M = 90.
5) Substitute m∠N for m∠M to get m∠N = 90.
6) By the definition of right angles, ∠N and ∠M are right angles.
9. If the area of a rectangle measures 20 square inches, the side lengths
must be 4 inches and 5 inches.
Answer:
True
Step-by-step explanation:
The given statement is true.
Area of a rectangle is length times width.
A rectangle with the side length of 4 and 5 inches would have an area of 20 square inches.
[tex]A=l*w\\\\A=4*5\\\\A=20[/tex]
Hope this helps.
Answer:
False
Step-by-step explanation:
There can be two sets of side lengths 4, 5 inches and 2, 10 inches.
1. Express 12-2 as a unit fraction.
Answer:
12/2
Step-by-step explanation:
Write an expression meaning a number divided by 4 + 8.
Answer:
x/4+8
Step-by-step explanation:
....................................
Answer:
what i believe you are looking for:
[tex] \frac{x}{4 + 8} [/tex]
a leftward shift of the supply curve for widgets, ceteris paribus will cause equilibrum price to
A. Rise and equilibrium quantity to rise
B. fall and equilibrium quantity to fall
C. Rise and equilibrium quantity to fall
D. Fall and equilibrium quantity to remain unchanged
Answer: c. Rise and equilibrium quantity to fall
Step-by-step explanation:
The supply curve shows the relationship that exists between the price of a product and the quantity that's been sold by the consumer.
A leftward shift of the supply curve for widgets implies that there's a reduction in the quantity supplied. Since there's a reduction, there'll be few widgets which will lead to increase in equilibrium price and fall in the quantity.
2x - 5 = 9
Step 1: 2x - 5 = 9
+5 +5
_____________
2x = 14, - 5x and 5x will canceled out because it is equal to 0
Step 2: 2x = 14, Multiply both sides by 2
2x (2) = 12 (2)
x = 24
Step 3: Final Answer: x = 24
Answer:
pls report for spam
Step-by-step explanation:
Eagletrons are all electric cars produced by Mogul motors. One of the concernsof Mogul is that the Eagletrons be capable of achieving appropriate maximumspeeds. To monitor this, Mogul executives take samples of 8 Eagletrons at atime. For each sample, they determine the average maximum speed and the rangeof the maximum speeds within the sample. They repeat this with 35 samples toobtain 35 sample means and 35 ranges. They find that the average sample mean is88.50 mph and the average range is 3.25 mph. Using these results, theexecutives decide to establish an R chart. They would like this chart to beestablished so that when it shows that the range of a sample is not within thecontrol limits, there is only approximately a .0027 probability that this is dueto natural variation. What will the upper control limit (UCL) and the lowercontrol limit (LCL) in this chart?
Trying to confirm that what I came up with is correct.
Answer:
upper control limit = 6.058
lower control limit = 0.442
Step-by-step explanation:
Given that:
The numbers of sample n Mogul executives took = 8 Eagletrons at a time.
They find out that the average sample mean is 88.50 mph and;
the average range [tex]\overline r[/tex] is 3.25 mph.
From the tables:
[tex]\text {Table values for n = 8 } \left \{ {{D_4=1.864} \atop {D_3=0.136}} \right.[/tex]
Control Limit = [tex]\overline r[/tex] = 3.25
Therefore; the upper control limit and the lower control limit can be computed as follows:
upper control limit = [tex]D_4 \overline r[/tex]
upper control limit = 1.864(3.25)
upper control limit = 6.058
lower control limit = [tex]D_3 \overline r[/tex]
lower control limit = 0.136(3.25)
lower control limit = 0.442
Which inequality has the solution set shown on the graph?
a.-54n 1080
c.594 > -11n
d.594 < -11n
Answer:
594 > -11n
Step-by-step explanation:
the answer is c lol
Answer:
The answer is C
Proof:
Step-by-step explanation:
You're in the business of supplying snacks to school canteens. The process involves procuring the ingredients (raw materials); cooking the snacks in a two-room place, for which you pay rent; and supplying the snacks to 50 school canteens, using your personal car. You have hired six workers, and you pay them on an hourly basis. How would accounting help you run this business?
Step-by-step explanation:
Alright on accounting you might want to take into consideration the following
based on the production and delivery process
1. The cost of ingredient/raw material
2. the cost of rent for the two rooms
3. the cost of logistics for transporting the products
4. the payment per hour for 6 workers
With all the above well accounted for, it will help you have a perfect record of expenses and the total cost of production, you can then estimate the cost of producing a unit of the snacks.
You can then estimate the the revenue to be generated based on the price tagged on one unit.
Also, you can estimate the break even point based on a properly accounted business
Joel’s veterinarian tells him that he can give his dog 11 5/8 mg of Benadryl for relief of his dogs allergies. Joel’s dog weighs 15 1/2 pounds.
Part a: what is the Benadryl dosage per pound for Joel’s dog?
Part b: If Joel’s veterinarian always uses the same milligrams per pound for prescribing aspirin to dogs, what would she prescribe for a dog that weighs 12 pounds?
Step-by-step explanation:
Given that,
The dosage of Benadryl for Dog is [tex]11\dfrac{5}{8}\ mg[/tex]
Weight of Joel's Dog is [tex]15\dfrac{1}{2}\ \text{pounds}[/tex]
(a) Benadryl dosage per pound for Joel’s dog is calculated as :
[tex]\dfrac{11\dfrac{5}{8}}{15\dfrac{1}{2}}=\dfrac{\dfrac{11\times 8+5}{8}}{\dfrac{15\times 2+1}{2}}\\\\=\dfrac{\dfrac{93}{8}}{\dfrac{31}{2}}\\\\=\dfrac{93}{8}\times \dfrac{2}{31}\\\\=0.75\ \text{dosage per pound}[/tex]
(b) If the weight of the Dog is 12 pounds, it means
[tex]\dfrac{11\dfrac{5}{8}}{12}\ \text{dosage per pounds}\\\\=\dfrac{\dfrac{93}{8}}{12}\\\\=\dfrac{93}{8}\times \dfrac{1}{12}\\\\=0.968\ \text{dosage per pounds}[/tex]
Therefore, this is the required solution.
Dave uses the function P(d)=20d-20 to calculate the net profit of his dog walking business. Where P(d) is the net profit in dollars, and d the number of dogs he walks.
Interpret the meaning of the equation below using the context of the problem.
P(3)=40
Dave's profit is ____ when he walks _____dogs.
x+2y=-4 solve for y
Answer:
y= -4-x divided by 2
Step-by-step explanation:
Isolate the varible your trying to solve, make sure what you do on one side of the equation, you do to the other.
Answer:
-4
Step-by-step explanation:
i think it is but maybe
Traeq pays 35.34 for 3.1 pounds of salmon. What is the price per pound of salmon
Mrs Ross runs a tutoring business she charges $35 an hour plus a $50 application fee her competitor Mrs brand charges $45 an hour plus $25 application fee right an equation that represent the situation when the cost to be tuned by Mrs Ross and Mr brand is the same
can someone help please i am really confused
Answer:
so here we are told that angle CED is 39 degrees and in this diagram we have three angles the first one is Angle CED the next one is angle CEL and the last one is angle LED so angle c e l + angle LED is equals to angle c e d so in this case 3 x - 6 + x + 25 should be equal to 39 degrees collect the like terms 3 x + x + 25 - 6 is equals to 39 degrees 4X + 19 is equals to 39 cross the 19 over the equals sign that you have 4 x is equals to 39 + 19 4 x is equals to 68 divide both sides by 4 and x is equals to 17 then substitute replace where there is x with seventeen so in this case angle c e l will be 3 * 17 -6 we are multiplying 3 by 17 because it was 3 x and we got the value of x to be 17 so 3 * 17 is 51 -6 is 45 so angle CEL is 45 degrees you can do the same with the other angle that is angle LED and you get x to be 42
What are the transformations to the graph compared to the parent function y=√(x)?
this is due tonight and i really need this answer, whoever answers god bless.
Answer:
a. f(1) = -4
b. One value of x for which f(x) = -1 : 2 (or -2)
Step-by-step explanation:
a. To find f(1), we would have to find what the value of the function would be when x = 1. By using the given graph, we can find the f(1) by finding what the y-value is when x = 1. Looking at the graph, we can see that when x = 1, y = -4. Thus, f(1) = - 4.
b. Now we are also asked to find one value of x for which f(x) = -1. In other words, what values of x would make the value of the function equal to -1? We can find values of x for which f(x) = -1 by using the graph and seeing for which x-values would the y-value be -1. We can see that y = -1 at x = -2 and x = 2. So the values of x at which f(x) = -1 are -2 and 2. You can choose either one of these values.
I hope you find my answer and explanation to be helpful. Happy studying.
What is the value of x in this equation? 2x + 10 = -28
Answer:
X=19
Step-by-step explanation:
2x + 10 = -28
-10 -10 Subtract 10 from both sides
divide both sides by 2
That gives you
X= 19
What is 2 /34 × 4/5 plsssss help
Answer:
0.04705882352
Step-by-step explanation:
Yeah, I don't really have an explanation, sorry. I guess you just turn them both into decimals and multiply afterwards.
2/34 x 4/5 = 4/85, or 0.04705882...
The 6 is in the tenths place.
Answer: 0.6
Step-by-step explanation: 6 in the tenths place means 0.6.
Answer:
the tenths place. 7
Step-by-step explanation:
y = 6х + 5
How do I graph
Answer:
it goes up by 6 over 1 and it starts on the y axis at 5
matt sells used books on the internet . he has a weekly fee he has to pay for his website. he has graphed his possible weekly earning
what is the weekly fee that Matt pays for his website?
Answer:
I think it’s 5$
Step-by-step explanation:
Jimmy deposits $5000 into an account that pays 4.5% interest compounded weekly. How much would he have when he goes to withdraw his funds? There is not enough information to complete this problem. What part is missing if you are using the formula given below?
Answer: TIME
Step-by-step explanation: I cant see the formula, but I think the one you are using is Interest = (principal)(interest rate)(time). You have the interest rate and principal, but you need the amount of time to figure out how much he has earned.
What is the decimal 3.4 written in word form
Answer:
three and four tenths
Step-by-step explanation:
11
12 13 14 15
Enter an expression that represents the following statement, and then solve the expression.
3 less than the product of 9 and -5.
The expression is
The value of the expression is
Answer:
-48 would be the answer
Step-by-step explanation:
product means result of multiplication, so the product of 9x-5=-45 and when it says 3 less than, it means subtraction so we would subtract 3 from -45 which is -48.
Find the measure of the missing angles.
b
103
b=
C=
Answer: both b and c equal 77 degrees
Step-by-step explanation:
103+103=206
360-206=154
154/2=77
The HCF of two numbers is 16 and their product is 3072. Find their LCM
Answer:
192
Step-by-step explanation:
16 × LCM = 3072
LCM = 3072 ÷ 16
LCM = 192
explain how to convert decimal form into fractional form
Answer:
To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.
Step-by-step explanation:
Answer:
[tex]to \: convert \:0.2 \: to \: fraction \: \: you \\ \: insert \: 1 \: from \: the \\ \: decimal \: point \\ \: and \: then \: zeros \: according \: to \: the \: \\ number \: of \: values \: you \: have \: after \: \\ the \: decimal \: point \: \\ \frac{2}{10} = 0.2 \\ ok \: convert \: 0.052 \: to \: fraction \: you \\ \frac{52}{1000} = 0.052[/tex]