Answer: 0.0004951
Step-by-step explanation:
Given
Five cards are from the deck
The total number of cards in the deck is 52
total spades card is [tex]13[/tex]
We have to choose 5 cards out of 13, this can be done in
[tex]\Rightarrow ^{13}C_5[/tex]
The probability of choosing 5 spade cards is
[tex]\Rightarrow P=\dfrac{^{13}C_5}{^{52}C_5}\\\\\Rightarrow P=\dfrac{1287}{2598960}=0.0004951[/tex]
LOOK AT THE PICTURE!!
Answer:
it is data
Step-by-step explanation:
just look at it and describe its properties
Bye,
Canus Lupus
Recently many companies have been experimenting with telecommuting, allowing employees to work at home on their computers. Among other things, telecommuting is supposed to reduce the number of sick days taken. Suppose that at one firm, it is known that over the past few years employees have taken a mean of 5.4 sick days. This year, the firm introduces telecommuting. Management chooses a simple random sample of 80 employees to follow in detail, and at the end of the year, these employees average 4.5 sick days with a standard deviation of 2.7 days.
a) Describe the population in the context of this problem
b) Describe the parameter u in the context of this problem.
c) Describe the sample in the context of this problem.
d) Describe the statistic in the context of this problem
e) The firm would like to know if there is evidence that the true mean number of sick days for all employees of the firm has decreased after telecommuting was introduced. State the hypotheses. Use ?-0.10.
f) Check the assumptions. If you don't know if an assumption is satisfied based on the information provided, then state "We must assume
g) Calculate the test statistic
h) Find the p-value.
i) Make a decision.
j) State the conclusion in terms of the problem.
Answer:
A.) Population : All employees at a firm
B.) μ = 5.4
C.) Sample : 80 employees at a firm
D.) Sample mean, x bar = 4.5
Step-by-step explanation:
From the question :
E.)
H0: μ ≥ 5.4
H1 : μ < 5.4
F.)
If Pvalue < α ; Reject H0
G.)
Test statistic :
(xbar - μ) ÷ (s/sqrt(n))
(4.5 - 5.4) ÷ (2.7/sqrt(80))
-0.9 ÷ 0.3018691
= - 2.98
H.)
Pvalue fro Zscore calculator, α = 0.10 = 0.002882
I.)
Decision :
0.002882 < 0.10
Since, Pvalue < α ; We reject the Null
J.)
We Can conclude that the true mean number of sick days for all employees of the firm has decreased after telecommuting was introduced
Which of the following equations has a graph in the
xy-plane for which y is always greater than or equal
to -1 ?
A) y = |x| - 2
B) y = x2 - 2
C) y = (x - 2)2
D) y = x3 - 2
Answer: (x-2)2
Step-by-step explanation:
The required equation is [tex]y=(x-2)^2[/tex]
The correct answer is an option (C)
What is an equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
For given question,
We have been given four equations.
We need to find an equation for which y is always greater than or equal
to -1.
Consider,
A. y = ∣x∣ - 2
We know that the minimum value of ∣x∣ is 0.
So, the minimum value of y becomes -2
Hence, this is not a required equation.
B. [tex]y=x^{2} -2[/tex]
We know that the square of any number is always positive.
The minimum value of [tex]x^{2}[/tex] is 0.
So, the minimum value of y becomes −2
Hence, this is not a required equation.
C. [tex]y=(x-2)^2[/tex]
We know that the square of any number is always positive.
The minimum value of y is zero.
This means, the y value of equation [tex]y=(x-2)^2[/tex] is always greater than -1.
D. [tex]y=x^3-2[/tex]
We know that [tex]x^3[/tex] can go have negative values. This means it may have value that tends to negative infinity.
This means, the y can be less than -1 and this is not a required equation.
Therefore, the required equation is [tex]y=(x-2)^2[/tex]
The correct answer is an option (C)
Learn more about the equation here:
https://brainly.com/question/13170101
#SPJ2
PEASE HELP DUE IN 5 MINUTES I WILL MARK YOU BRAINLIST
Find the area of a regular hexagon with side length of 3 ft. Round your answer to the nearest tenth
7.8 ft2
11.7 ft2
23.4 ft2
40.5 ft2
23.4 ft2
Step-by-step explanation:
jvuctctctcrxrxrxrxrxr
Ecologists wanted to estimate the mean biomass (amount of vegetation) of a certain forested region. The ecologists divided the region into plots measuring 1 square meter each, and they selected a random sample of 9 plots. The mean biomass of the 9 plots was 4.3 kilograms per square meter (kg/m2) and the standard deviation was 1.5 kg/m2 . Assuming all conditions for inference are met, which of the following is a 95 percent confidence interval for the population mean biomass, in kg/m2?
A) 4.3±1.96 (underroot 1.5/3).
B) 4.3±1.96 (1.5/3).
C) 4.3 ± 2.306 (underroot 1.5/9).
D) 4.3±2.3064 (1.5/9).
E) 4.3+2.30/15 (1.5/3).
Answer:
[tex]4.3 \pm 2.306\frac{1.5}{\sqrt{9}}[/tex], option c
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 9 - 1 = 8
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.306
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.306\frac{1.5}{\sqrt{9}}[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
Confidence interval:
The confidence interval is the sample mean plus/minus the margin of error. So
[tex]4.3 \pm 2.306\frac{1.5}{\sqrt{9}}[/tex]
The correct answer is given by option c.
Can someone please give me the answer I will mark u brilliant
Answer:
p = 16.8
[tex] r \geqslant 5.5[/tex]
Step-by-step explanation:
12)
p + 2.1 = 18.9
p = 18.9 - 2.1
p = 16.8
13)
[tex]r \geqslant 5.5[/tex]
can anyone help me with this answer?
Answer:
6m-2m+12 and 4(m+3)
Step-by-step explanation:
4(m+12)=4m+48❎
3m-m+12=2m+12❎
6m-2m+12=4m+12✅
4(m+3)=4m+12✅
URGENT PLZ HELP
Find the measure of the arc or central angle indicated. Assume that lines which appear to be
diameters are actual diameters.
Answer:
Step-by-step explanation:
ok I forgot to tell you the arc PTR would be 126 +54 +14(4) +4 which equals 240 degrees. Answer.
At the end of the first day three of the cricketers scored these runs 28, 61 and 39
The man adds them together and the total score is 128
But his friend checks his calculation by using approximation
Show how the friend used approximation to check the calculation
Answer:
His friend took one from 61 and added it to 39. That made it easy to mentally add 40 and 60 to get 100. Then he mentally added 28 to 100 to get 128.
Use the Distributive Property to write an expression that is equivalent to 2(3v + 6)
Answer:
6v + 12
Step-by-step explanation:
2(3v+6) = 2 * 3v + 2 * 6 = 6v + 12
Hope this helps =]
ill mark brainlist plss help
Step-by-step explanation:
Perimeter of rectangle = 2(l+b)
= 2(97+17)
= 2(114)
= 228cm
Answer:
P = 228 inches
Step-by-step explanation:
P = 2(l + w)
l = 97 inches
w = 17 inches
P = 2 (97 + 17)
P = 2 x 114
P = 228
a soccer game started at 2:15p.m. and ended at 3:35p.m. how long did the game last
Within a computer program, the number of bugs (i.e., coding errors) per lines of code has a Poisson distribution with an average of fifteen bugs per 1,000 lines. a. Find the probability that there will be exactly eight bugs in 1,000 lines of code. b. Find the probability that there will be at least eight bugs in 1,000 lines of code. c. Find the probability that there will be at least one bug in 1,000 lines of code. d. Find the probability that there will be no more than
Answer:
[tex]P(X=8) = 0.0194[/tex]
[tex]P(X \ge 8)= 0.9820[/tex]
[tex]P(X \ge 1)= 1[/tex]
[tex]P(X\le 1) = 0.0000049[/tex]
Step-by-step explanation:
Given
[tex]\lambda = 15[/tex]
Poisson distribution is given by:
[tex]P(X=x) = \frac{\lambda^x e^{-\lambda}}{x!}[/tex]
Solving (a): 8 bugs
This implies that:
[tex]x = 8[/tex]
So, we have:
[tex]P(X=8) = \frac{15^8 * e^{-15}}{8!}[/tex]
[tex]P(X=8) = \frac{783.99418938}{40320}[/tex]
[tex]P(X=8) = 0.0194[/tex]
Solving (b): At least 8 bugs
This is represented as: [tex]P(X \ge 8)[/tex]
Using complement rule:
[tex]P(X \ge 8)= 1 - P(X<8)[/tex]
Where
[tex]P(X<8) = P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6) + P(X=7)[/tex]
[tex]P(X<8) = \frac{15^1 * e^{-15}}{1!} + \frac{15^2 * e^{-15}}{2!} + \frac{15^3 * e^{-15}}{3!} + \frac{15^4 * e^{-15}}{4!} + \frac{15^5 * e^{-15}}{5!} + \frac{15^6 * e^{-15}}{6!} + \frac{15^7 * e^{-15}}{7!}[/tex]
[tex]P(X<8) = (\frac{15^1}{1!} + \frac{15^2}{2!} + \frac{15^3 }{3!} + \frac{15^4}{4!} + \frac{15^5}{5!} + \frac{15^6}{6!} + \frac{15^7}{7!}) e^{-15}[/tex]
[tex]P(X<8) = (15 + 112.5 + 562.5 + 2109.375 + 6328.125 + 15820.3125 + 33900.6696429) *e^{-15}[/tex]
[tex]P(X<8) = 58848.4821429 *e^{-15}[/tex]
[tex]P(X<8) = 0.0180[/tex]
So:
[tex]P(X \ge 8)= 1 - P(X<8)[/tex]
[tex]P(X \ge 8)= 1 - 0.0180[/tex]
[tex]P(X \ge 8)= 0.9820[/tex]
Solving (c): At least 1
This is represented as: [tex]P(X \ge 1)[/tex]
Using complement rule:
[tex]P(X \ge 1)= 1 - P(X<1)[/tex]
[tex]P(X<1) = P(X = 0)[/tex]
[tex]P(X<1) = \frac{15^0 e^{-15}}{0!}[/tex]
[tex]P(X<1) = \frac{e^{-15}}{1}[/tex]
[tex]P(X<1) = e^{-15}[/tex]
So:
[tex]P(X \ge 1)= 1 - P(X<1)[/tex]
[tex]P(X \ge 1)= 1 - e^{-15[/tex]
[tex]P(X \ge 1)= 0.99999969409[/tex]
[tex]P(X \ge 1)= 1[/tex]
Solving (d): Not more than 1
This implies at most 1.
It is represented as:
[tex]P(X\le 1)[/tex]
It is calculated using:
[tex]P(X\le 1) = P(X = 0) + P(X =1)[/tex]
[tex]P(X = 0) = e^{-15}[/tex]
[tex]P(X=1) = \frac{15^1 * e^{-15}}{1!}[/tex]
[tex]P(X=1) = 15 * e^{-15}[/tex]
So:
[tex]P(X\le 1) = e^{-15} + 15 * e^{-15}[/tex]
[tex]P(X\le 1) = 0.00000489443[/tex]
[tex]P(X\le 1) = 0.0000049[/tex]
which number will make the two fractions equivalent? 70/84=5/?
Answer:
6
Step-by-step explanation:
70/84 = 5/N
70N = 420
N = 420/70 = 6
Ryan needs $100 for a new bike. He already has $28 and will make $12 per day working for his grandfather. Write an inequality to find the number of days he must work to make enough money for the bike.
Answer:
100 ≥ 12x + 28
Step-by-step explanation:
He needs $100 for the new bike but already has the $28 so you also have to add 12x because thats what you need to find. X represents the amount of days he has to work.
If you know how to do this please help me.
Answer:
Undefined or no values (assuming no negative zero)
Step-by-step explanation:
The absolute value of a number (a) keeps/turns it positive. A positive number can never be equal to a negative number.
Please help ill give BRAINLIEST. This is geometry
Answer:
A
Step-by-step explanation:
it's a 45-45-90 triangle, so the legs are the same length and the hypotenuse is the leg length times the square root of 2. Therefore y=6 and x=6*sqrt2
Question
Find the third degree polynomial function that has an output of 320 when x = 4, and has zeros 2 and
-8i
Answer:
[tex]f(x)=2(x-2)(x^2+64)[/tex]
Step-by-step explanation:
A standard polynomial in factored form is given by:
[tex]f(x)=a(x-p)(x-q)...[/tex]
Where p and q are the zeros.
We want to find a third-degree polynomial with zeros x = 2 and x = -8i and equals 320 when x = 4.
First, by the Complex Root Theorem, if x = -8i is a root, then x = 8i must also be a root.
Therefore, we acquire:
[tex]f(x)=a(x-(2))(x-(-8i))(x-(8i))[/tex]
Simplify:
[tex]f(x)=a(x-2)(x+8i)(x-8i)[/tex]
Expand the second and third factors:
[tex]=(x+8i)x+(x+8i)(-8i)\\\\=(x^2+8ix)+(-8ix-64i^2)\\\\=(x^2)+(8ix-8ix)+(-64i^2)\\\\=x^2-64(-1)\\\\ =x^2+64[/tex]
Hence, our function is now:
[tex]f(x)=a(x-2)(x^2+64)[/tex]
It equals 320 when x = 4. Therefore:
[tex]320=a(4-2)(4^2+64)[/tex]
Solve for a. Evaluate:
[tex]320=(2)(80)a[/tex]
So:
[tex]320=160a\Rightarrow a=2[/tex]
Our third-degree polynomial equation is:
[tex]f(x)=2(x-2)(x^2+64)[/tex]
Answer:
f(x)=2(x-2)(x^2+64)
Step-by-step explanation:
What is the value of the expression 1/2x2/5 ÷2/6
Answer: 3/5 (0.6 decimal form)
Step-by-step explanation:
5x−9≥11
Select one:
x≤−4
x≥4
x≤4
x≥−4
Answer:
[tex]x \geqslant 4[/tex]
Step-by-step explanation:
1) Add 9 to both sides.
[tex]5x \geqslant 11 + 9[/tex]
2) Simplify 11 + 9 to 20.
[tex]5x \geqslant 20[/tex]
3) Divide both sides by 5.
[tex]x \geqslant \frac{20}{5} [/tex]
4) Simplify 20/5 to 4.
[tex]x \geqslant 4[/tex]
Thus, the answer is Option B.
5x−9 ≥ 11
5x ≥ 11 + 9
5x ≥ 20
x ≥ 20/5
x ≥ 4
Done.
45633 seconds en heures minutes et seconds
Please help me with this question!!
P.S you need to sort it
Answer:
what grade are u?
Step-by-step explanation:
I'm assuming you want to know what "x"is. If so then for the first one x is 1/7. For the second one x= 5. And the last one is x= 3.
Step-by-step explanation:
To check you just substitute what ever x equals into the equation so 35x+5=10 would be 35(1/7)+5=10 and it should equal 10=10, which means infinite solutions. If you were not trying to find out what x equals then what are you looking for exactly?
2. Write a polynomial function of least degree with rational coefficients so that P(x)=0 has the given root.
4 - 5i
Answer:
p(x) = x^2 - 8x + 41
Step-by-step explanation:
If a polynomial with rational coefficients has a complex root, then the roots come in complex conjugate pairs. If the polynomial we need to find has the root 4 - 5i, then it must also have its complex conjugate 4 + 5i as a root.
p(x) = [x - (4 - 5i)][x - (4 + 5i)]
p(x) = [(x - 4) + 5i][(x - 4) - 5i]
Now it's a difference of two squares.
p(x) = (x - 4)^2 - (5i)^2
p(x) = x^2 - 8x + 16 + 25
p(x) = x^2 - 8x + 41
work out the circumference of this circle
give your answer in terms of pi and state its units
14cm
Answer:
43.96
Step-by-step explanation:
Well, the first step is finding out the diameter. And then the basic outline is d x 3.14. So I simply just punched in 14 x 3.14 in my calculator.
Answer:
14π cm
Step-by-step explanation:
Circumference of the circle
= 2πr
= 2π(14/2)
= 14π cm
Krish and Aanya gor to a restaurant for dinner. Their meals total $13.75. The tax is 5%
a. How much tax is added to the bill?
b. Aanya and Krish want to leave a 15% tip based on their bill and tax combined. How much should they leave?
Answer:
A) $6.87
B) $3.09
Step-by-step explanation:
Principle $1950 rate 4 1/2% time 9
Answer:
Interest = [tex] \boxed{\$ 789.75} [/tex]
Explanation:
Interest [I] = principle × rate × time [prt]
______________________________
x% = x/100
a b/c = a + (b/c) = (ac + b) / c
______________________
I = prt
I = ($1,950)(4 ½%)(9)
I = ($1,950)(0.045)(9)
I = ($87.75)(9)
I = ($789.75)
I = $789.75
keiko has bought 36pounds of dog food, she feed the dog 3/4 pound of food each meal. how many meals would this last
Answer:
48 meals
Step-by-step explanation:
36lbs ÷ 3/4lbs = 48
25 liters of water are pumped into a dam in 20 seconds
how much water will be pumped in within 3 minutes??? help please
1 minute = 60 seconds.
3 minutes x 60 seconds = 180 seconds.
180 seconds / 20 = 9
25 liters x 9 = 225
Total water in 3 minutes = 225 liters
Answer:
225 liters
Step-by-step explanation:
There is 25 liters in 20 seconds, so you keep adding 20 seconds while adding 25 liters each time. 180 = 3 minutes
25 20
50 40
75 60
100 80
125 100
150 120
175 140
200 160
225 180
pls help I'll mark the first person brainliest answer all
Answer:
4
a. 12
b. 8
c. 30
d. 40
Step-by-step explanation:
each exterior = 360/n
30*n=360
divide both side by 30
Answer is 12
The same apply to others to 4d
so first its 4
a. 12
b. 8
c. 30
d. 40
i will try to explain:
each exterior = 360/n
30*n=360
divide both side by 30
Answer is 12
The same apply to others to 4d
Maggie picked 2/5 basket of strawberries and Sally picked 2/4. How much more did Sally pick?
Answer:
Step-by-step explanation:
2/5 = 0.4
2/4 = 0.5
0.5 - 0.4 = 0.1
Sally picked 1/10 of a basket more than Maggie picked
Answer:
1 this could change depending on how many berries are in each basket
Step-by-step explanation:
2/5 = 0.4
2/4 = 0.5