13
+
4
−
1
52
=
16
52
=
4
13
≈
0.3077
Explanation:
In a standard deck of cards, there are 52 cards. They are broken down into suits (4 of them: Spades, Hearts, Diamonds, Clubs) of 13 cards each. Each suit has 13 ordinal cards (A, 2 through 10, Jack, Queen, King).
Here we're asked to draw a card at random and find the probability of drawing either a diamond or a 7.
With probability, we look at the fraction of ways we can achieve some condition (the numerator) over the number of ways we can do something (the denominator).
Our denominator here is 52 - the number of cards from which we can pull 1.
Our numerator is both all the diamonds, 13 cards, and all the sevens, 4 cards, but we need to subtract 1 to account for the double counting of the 7 of diamonds.
The probability of drawing a jack or ten from a deck of cards is 2/13.
The probability of drawing a jack or a diamond is 15/52.
How to calculate probability?
Fact: A deck of cards has 52 cards and in it:
13 cards of diamond13 cards of heart13 cards of clubs13 cards of spadeAnother classification:
4 cards each of A,2,3,4,5,6,7,8,9,10,king,queen and jack And those 4 cards consist of a diamond, heart, club and spade card.Now coming to the question:
We have 4 jack card and 4 10 cards, therefore total cards =8Probability: Desired outcomes/total outcome
=8/52
=2/13
We have 13 diamond cards( in which 2 jack cards are already included) and another 2 jack cards.therefore, total cards desired=13+2=15
Probability:15/52
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Terry used a bag of marbles to do a probability experiment. In the experiment, he selected one marble at random from the bag, recorded the color, and put the marble back in the bag. He repeated this procedure 15 times and recorded the results in the table shown Based on the results, what is the probability that the next marble Terry selects will be a green marble? Mark all that apply.
Answer:
Mate there isn't a chart
Step-by-step explanation:
A 20-question multiple choice quiz has five choices for each question. Suppose that a student just guesses, hoping to get a high score. The teacher carries out a hypothesis test to determine whether the student was just guessing. The null hypothesis is p = 0.20, where p is the probability of a correct answer.
a. Which of the following describes the value of the z-test statistic that is likely to result? Explain your choice.
i. The z-test statistic will be close to 0.
ii. the z-test statistic will be far from 0.
b. Which of the following describes the p-value that is likely to result? Explain your choice.
i. The p-value will be small.
ii. The p-value will not be small.
Answer:
a) i. The z-test statistic will be close to 0, as the sample mean and the tested proportion are expected to be close values.
b) ii. The p-value will not be small, as the z-statistic is close to 0.
Step-by-step explanation:
The null hypothesis is p = 0.20
The teacher carries out a hypothesis test to determine whether the student was just guessing.
Test if the proportion is different from 0.2. So the alternate hypothesis is:
[tex]H_{a}: p \neq 0.2[/tex]
Five choices for each question, one of which is correct.
Probability of having a correct answer is [tex]X = \frac{1}{5} = 0.2[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
a. Which of the following describes the value of the z-test statistic that is likely to result?
In this question, [tex]X = p = \mu[/tex], which meas that the numerator of the z-statistic will be close to 0, which means that the z-test statistic will be close to 0.
b. Which of the following describes the p-value that is likely to result?
pvalue is 2 multiplied by the pvalue of Z(if negative), or 1 subtracted by the pvalue of Z(if positive).
Since the value of Z is close to 0, either the pvalue of Z or 1 subtracted by the pvalue of Z is close to 0.5, and multiplied by 2 will be close to 1. So, as Z is close to 0, the pvalue will not be small.
Researchers studied 208 infants whose brains were temporarily deprived of oxygen due to complications at birth. When researchers detected oxygen deprivation, they randomly assigned babies to either usual care or to a whole-body cooling group. The goal was to see whether reducing body temperature for three days after birth increased the rate of survival without brain damage. Match each description on the left with a term on the right. Note - any given term on the right may be used more than once or not at all.
a. Response variable
b. Explanatory variable
c. Subjects of investigation
1. Infants whose brains are temporarily deprived of oxygen [Choose ]
2. Usual care or whole-body cooling ET [Choose]
3. Survival without brain damage [Choose]
Answer:
Infants whose brains are temporarily deprived of oxygen - Subject of investigation
Usual care or whole-body cooling ET - Explanatory variable
Survival without brain damage - Response variable
Step-by-step explanation:
The subject of investigation are the set of participants who are used in a research study. Based on the scenario described above, 208 infants whose brains were temporarily deprived of oxygen as a result of complications at birth were researched. And these sentence gives us the subject of investigation.
The Explanatory variable can also be called the independent variable which are the variables which causes changes behavior or output produced by the response variable. The usual care and whole body cooling are the two independent temperature options subjects are assigned subjected to.
The response variable also called the predicted variable gives the outcome or effect of the the Explanatory variable on the subject of investigation.
Determine the solution
Answer:
:/
Step-by-step explanation:
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The answer is not 15
HELP ON THIS QUESTION !!!!!!!!
Answer:
b
Step-by-step explanation:
i took the test
Evaluate the expression \dfrac{4^x}{2^x}
2
x
4
x
start fraction, 4, start superscript, x, end superscript, divided by, 2, start superscript, x, end superscript, end fraction for x=3x=3x, equals, 3.
Answer:
4
Step-by-step explanation:
(2)²ˣ/2ˣ is the expression equivalent to 4ˣ/2ˣ.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 4ˣ/2ˣ.
start fraction, 4, start superscript, x, end superscript, divided by, 2, start superscript, x, end superscript, end fraction for x=3x=3x, equals, 3.
In the given expression x is the variable and division is the operator.
Which means Four to the power of x and divided by two to the power of x.
4ˣ/2ˣ.
The numerator 4ˣ can be written as (2)²ˣ
(2)²ˣ/2ˣ
Hence, (2)²ˣ/2ˣ is the expression equivalent to 4ˣ/2ˣ.
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Find the 12th term of the arithmetic sequence whose common difference is d=-7 and whose first term is a = 10.
Answer:
87
Step-by-step explanation:
tn= a + (n-1)d
t12 = 10 + (12-1)7
=87
HURRY IM TIMED ON EDGE Which is the best estimate for the percent equivalent to 3/8?
26%
279%
37%
38%
Answer:
C.) 37%
Step-by-step explanation:
[tex]\frac{3}{8}[/tex] as a percentage is 37.5%
[tex] \purple{ \huge{\mathtt{✨Answer✨}}}[/tex]
C. 37%
!!!50 POINTS PLZ HELPPPP!!!!!! Which of the following shows the graph of y = –(2)x – 1?
Solve the equation for the value of x,
-4x=36
Please show your work, thank you.
Answer:
x = -9
Step-by-step explanation:
First,Add 4 to both sides
-4x-4+4=36-4+4
Then,simplify
-4x=36
divide both sides by -4
-4x/-4 = 36/-4
Lastly simplify it to get your answer!
I am trying to find the answer to (in photo). But my calculator wont give me the answer. Does anyone know the answer to it? Or know how to calculate it without a calculator?
Answer:
[tex]\sqrt{13}[/tex] = 3.605551275......
Step-by-step explanation:
[tex]\sqrt{13}[/tex]
3.6
3 [tex]\sqrt{13}[/tex]
-9
36[tex]\sqrt{4}[/tex]00
do you need to know more... ??
9514 1404 393
Answer:
√13 ≈ 3.60555127546
"by hand": 3 4/7 or 398143/110425 or 3.6055 or 3 23/38
Step-by-step explanation:
Most on-line calculators, calculator apps for phone or tablet, and any spreadsheet can calculate this for you. The first attachment shows the result from the Go.ogle calculator.
Here, we describe 4 methods of approximating the root "by hand." That is, the calculations can be done with pencil and paper. They are easily within the capability of a 4-function calculator.
__
Method 1 -- Linear approximation
You can approximate it by hand in the following way.
√13 is between √9 = 3 and √16 = 4. As a first approximation, it is ...
3 + (13 -9)/(16 -9) = 3 4/7 ≈ 3.57 ≈ 3.6
This is a linear interpolation between √9 and √16.
_____
Method 2 -- Babylonian method
The "Babylonian method" can be used to refine this approximation. For the next guess, average this number and the quotient 13 divided by this number.
x = (3 4/7 + (13/(3 4/7))/2 = (25/7 + 13·7/25)/2 = (625 +637)/350 = 631/175
x = 3 106/175 ≈ 3.6057 . . . . . . good to 3 decimal places
One more iteration will double the number of correct decimal digits.
x = (3 106/175 + 13/(3 106/175))/2 = 398143/110425 ≈ 3.60555127915
(correct digits are highlighted)
_____
Method 3 -- "long division"
There is also a "long-division" method that develops the root one digit at a time. This is described in the second attachment, an extract from the NIST web site. For a number like 13, you would use 13.00 00 00 00 as the initial "dividend" to get a 4-digit root.
_____
Method 4 -- continued fraction
Once you realize that the root is between 3 and 4, you can write a "continued fraction" for the fractional part:
3 +x = √13 . . . . . . where x is the fractional part of the root
(3 +x)² = 13 . . . . . . square both sides
x² +6x +9 = 13 . . . expand the square
x(x +6) = 4 . . . . . . . subtract 9 and factor
x = 4/(6 +x) . . . . . . write as an iterator (continued fraction)
At this point, we can say x = p/q for some integers p and q. Then the next iteration is ...
p/q = 4/(6 +p/q) = 4q/(6q +p)
That is, successive approximations of x can be had by the transformation ...
(p, q) ⇒ (4q, 6q+p)
Starting with the linear interpolation fraction x=4/7, the next refinements using this method are ...
(p, q) = (4, 7) ⇒ (28, 46) = (14, 23)* ⇒ (92, 152) = (23, 38)
At this point, you have approximated the root as 3 23/38 ≈ 3.6053, accurate in the third decimal place. Convergence is clearly much slower than using the Babylonian method.
__
* We have reduced the fraction p/q = 28/46 to 14/23 in order to keep the numbers as small as possible. Similarly, 92/152 is reduced to 23/38.
Can you help me please?
9514 1404 393
Answer:
13
Step-by-step explanation:
The segments WX and WY are congruent, so ...
5n -2 = 2n +7
3n = 9 . . . . . . . . . . add 2-2n to both sides
n = 3 . . . . . . . . . . . .divide by 3
WY = 2n +7 = 2(3) +7 . . . . substitute for n in the expression for WY
WY = 13
The library has allotted $480 for spring landscaping and has decided
to spend the money on flowering bushes. There is room to plant a total
of 36 bushes. Rose bushes cost $25 each and lavender bushes cost $5
each.
a. (2 PTS) Define your variables.
b. (3 PTS) Write an equation to represent the total number of bushes you
can purchase.
c. (3 PTS) Write an equation to represent the total cost of the bushes.
d. (3 PTS) How many of each type of bush should you purchase?
Answer:
a. x = roses
y= lavender
b. x + y=36
c. 25x + 5y = 480
d. 19 rose bushes and 1 lavender bush
What is (3x^2+ 4x - 7) / (x - 1)?
A. 3x+1
B. X-1
C. 3x+7
D. 7x-7
Answer:
[tex]\tt{}b. \: 3x + 7 [/tex]
Step-by-step explanation:
[tex]\tt{} \frac{(3 {x}^{2} + 4x - 7) }{(x - 1)} [/tex]
[tex]\tt{} \frac{{3x}^{2} + 7x - 3x - 7}{x - 1}[/tex]
[tex]\tt{} \frac{x \times (3x + 7) - (3x + 7)}{x - 1} [/tex]
[tex]\tt{} \frac{(3x + 7) \times (x - 1)}{x - 1} [/tex]
[tex]\tt{}3x + 7[/tex]
Of the population of all fruit flies we wish to give a 90% confidence interval for the fraction which possess a gene which gives immunity to fungal infections. To this end we have obtained a random sample of 400 fruit flies. We find that 280 of the flies in the sample possess the gene. Give the margin of error for the 90% confidence interval. Round your answer to 3 decimal
Answer:
The margin of error for the 90% confidence interval is of 0.038.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
To this end we have obtained a random sample of 400 fruit flies. We find that 280 of the flies in the sample possess the gene.
This means that [tex]n = 400, \pi = \frac{280}{400} = 0.7[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
Give the margin of error for the 90% confidence interval.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.645\sqrt{\frac{0.7*0.3}{400}}[/tex]
[tex]M = 0.038[/tex]
The margin of error for the 90% confidence interval is of 0.038.
A food truck at the fair had 24 pies to sell. Each pie was cut into pieces and each piece was cut into 1/8 of a pie. How many pieces of pie did the food truck have to sell?
Answer:
192
Step-by-step explanation:
!!ASAP!! Please help marking brainliest w/ points!!
—————-
Select yes or no for each expression to determine whether it is or can be written as a monomial!
Answer:
1. yes
2. no
3. yes
4. yes
5. no
Step-by-step explanation:
what equation describes a line that has a slope of 4/5 and a y-intercept of 2/5
Answer:
y = 4/5 x + 2/5
Step-by-step explanation:
Can someone help me with these 2 problems pls
Answer:
53.58°
Step-by-step explanation:
SOHCAHTOA
COS (A)= ADJACENT/ HYPOTENUSE
A= acos(19/32(
A= 53.57642°
Answer:
7) horizontal distance = 105.95 m
Step-by-step explanation:
I can't draw. I don't have much use of my hands. but I'll answer #7 for you.
cos 28° = x/120
0.8829 = x/120
x = 105.95 m
Joe makes an hourly wage of $14.00. Last week, Joe worked 58 hours.
What is Joe's gross pay for this pay period?
Answer:
812 dollars 14 x 58 = $812 dollars.
Step-by-step explanation:
Answer:
I think it is 812 tell me if I'm wrong please
Which of the following expressions are equivalent to −5.93+(−8.62)+5.93?
Answer:
A, B, C, DStep-by-step explanation:
−5.93 + (−8.62) + 5.93 =−5.93 - (8.62 - 5.93) = B−(5.93 + 8.62) + 5.93 = C−5.93 −8.62 - (- 5.93) = D-8.62 AAll options Except E
Because
From question
The expression yields -8.62 after 5.93 gets cancelled outBut in E
-5.93-(8.62+5.93)Results one -5.93 more so 5.93 doesn't get cancelled out
identify each triangle right if it is an equilateral, isosceles or scalene triangle, or if it is an obtuse triangle, acute triangle, or right triangle opposite each letter below
Answer:
a) isosceles triangle / acute triangle
b) right angled triangle
c) isosceles triangle / acute triangle
d) right angled triangle
e) isosceles triangle / acute triangle
f) equilateral triangle
g) equilateral triangle
h) obtuse triangle
hope this answer helps you.....
1. What number will make this expression a perfect square trinomial? Show your work. x2 - 6x +
Answer:
.......
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Take half of b (6/2=3)
Square it (3^2=9)
help lol don’t understand smart teacher math awesome simple lol geometry brainlyesy
Answer:
1. square, 28cm^2
2. triangle, 60ft^2
3. trapezoid, 21ft^2
4. pentagon, 30cm^2
Step-by-step explanation:
Sharina simplified the expression 3(2x – 6 – x + 1)2 – 2 + 4x. In Step 1 she simplified within the parentheses. In Step 2 she expanded the exponent.
Which is a possible next step?
I need help with my math assignment please
Answer:
angles 1 and 6
Step-by-step explanation:
Answer:
C. angle 2 and angle 7
Step-by-step explanation:
hope this helps, have a nice day :)
4 unit squares each have 4/5 of their area shaded what is the total of that area shaded
Answer:
16/20
Step-by-step explanation:
yeah
Answer:
20/7
Step-by-step explanation:
just do it dont do the top i tried and it failed PLEASE MY FUTURE SELF LOOK AT THIS
Find the zeros of the function: p(x)=(x−1)(x^2−2x−2).
Answer:
x = 6, x = -4
Step-by-step explanation:
g(x)=x^2-5x
f(x)=2x+1
Find (g-f)(x)
Answer:
(g-f)(x) = x²-7x -1
Step-by-step explanation:
hello :
g(x)=x²-5x f(x)=2x+1
(g-f)(x) =g(x) - f(x) = x²-5x- ( 2x+1 ) = x²-5x - 2x-1
(g-f)(x) = x²-7x -1