What is the probability of choosing a king of hearts or a queen of spades from a deck of cards? Type your answer as a fraction
Answer:
[tex]Pr = \frac{1}{26}[/tex]
Step-by-step explanation:
Given
In a deck of card, we have:
[tex]Cards = 52[/tex]
[tex]King[Heart] = 1[/tex]
[tex]Queen[Spade] = 1[/tex]
Required
The probability of obtaining a king of heart or a queen of spade.
The probability of king of heart is:
[tex]P(King[Heart]) = \frac{n(King[Heart])}{Cards}[/tex]
[tex]P(King[Heart]) = \frac{1}{52}[/tex]
The probability of queen of spade is:
[tex]P(Queen[Spade]) = \frac{n(Queen[Spade])}{Cards}[/tex]
[tex]P(Queen[Spade]) = \frac{1}{52}[/tex]
The required probability of obtaining a king of heart or a queen of spade. is:
[tex]Pr = P(King[Heart]) + P(Queen[Spade])[/tex]
[tex]Pr = \frac{1}{52}+ \frac{1}{52}[/tex]
Take LCM
[tex]Pr = \frac{1+1}{52}[/tex]
[tex]Pr = \frac{2}{52}[/tex]
Simplify
[tex]Pr = \frac{1}{26}[/tex]
4^?=1024? i know the answer is 5 but is there an easier way to find that out instead of guessing?
Answer:
here you go............
Step-by-step explanation:
I hope it helped
Angles X and Y are vertical. If angle X is 91 degrees, what is the measure of angle Y
What is the measure of ∠B?
Triangle A B C with ray A G through point C and angle measures A = 3x, B = 4x, and exterior angle B C G = 10x minus 45.
60∘60 degrees
15∘15 degrees
45∘45 degrees
105∘
Answer:
Solution given:
4x+3x=10x-45[exterior angle is equal to the sum of two opposite interior angle]
45=10x-7x
x=45/3
x=15
now.
<B=4x=4×15=60° is your answer
The required measure of ∠B is 60° for the given triangle.
What is the Exterior Angle?An exterior Angle is defined as an angle produced on the outside of a polygon by extending the sides of the polygon.
According to the shown figure, we have:
The external angle is ∠BCG = 10x - 45.
And, two interior angles as ∠A = 3x, and ∠B = 4x.
As we know that the sum of two opposite interior angles equals the exterior angle.
So, we can be written as follows:
4x + 3x = 10x - 45
45 = 10x - 7x
x = 45/3
x = 15
So, the measure of ∠B is:
∠B = 4x
∠B = 4 × 15
∠B = 60°
Thus, the required measure of ∠B is 60°.
Learn more about the exterior angles here :
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what is -5/3 as an equivalent fraction
Answer:
-20/12 as an example there are many others
14 is 24% of what number? (Write your final answer as a mixed number.)
Answer:
58 1/3
Step-by-step explanation:
14=.24x
14*25/3 = x
58 1/3
Gina will pay $14 for fabric at a crafting store. The tax rate is 8.5%. How much will she pay for her fabric including tax?
Answer:
$15.19
Step-by-step explanation:
8.5% = 0.085
0.085 x 14 = $1.19
1.19+14= $15.19
According to the data released by the Chamber of Commerce of a certain city, the weekly wages of factory workers are normally distributed with a mean of $720 and standard deviation of $40. Find the probability that a worker selected at random from the city makes the following weekly wage. (Round your answers to four decimal places.)
Complete question :
a. Of less than$720?
b. Of more than $840?
c. Between $680 and $760?
Answer:
0.500 ; 0.0013 ; 0.6827
Step-by-step explanation:
Given that :
Mean, μ = 720
Standard deviation, σ = 40
P(Z < x)
x = (x < 720)
Obtain the standardized value of x
P(x < 720) = (x - μ) / σ
P(x < 720) = (720 - 720) / 40
P(x < 720) = 0
P(Z < 0) = 0.5
B.) More than $840
P(x > 840)
P(x > 840) = (x - μ) / σ
P(x > 840) = (840 - 720) / 40
P(x > 840) = 120 / 40 = 3
P(Z > 3) = 0.0013499 (Z probability calculator)
c. Between $680 and $760?
P(760 < x < 680)
P(760 < x < 680) = ((x - μ) / σ) - ((x - μ) / σ)
P(760 < x < 680) = ((760 - 720) / 40) - (680 - 720) / 40)) = P( Z < - 1) - P(Z < - 1)
P(680 < x < 760) = 0.84134 - 0.15866 = 0.68268
The table and graph below show the enrollment in Italian, Chinese, and German classes at two schools.
Which statement is NOT supported by the data distributions?
A.
There is a greater number of students in the Chinese and German classes combined at School B than at School A.
B.
There is a greater percentage of students in the Italian and German classes combined at School A than at School B.
C.
65% of the total enrollment at School A and School B combined are in the Italian class.
D.
There are 2 more students taking Italian at School A than are taking Chinese at School B.
Answer:
The answer would be D. There's 2% more students taking Italian at School A, not 2 more students total.
2=n over 3 what does n equal?
Answer:
n = 6
Step-by-step explanation:
2 = [tex]\frac{n}{3}[/tex]
multiply both sides by 3
=> n = 6
Answer:
n = 6
Step-by-step explanation:
If 2 = n/3, then n = 6, because 3 times 2 is 6 (2 of 3 is 6)
(side note, this might not be what you are looking for soo)
The mark up on an item is $3.75. If the mark up is 35%, what was the original price? Round
your answer to the nearest hundredth. (Show all work)
Answer:
$10.71
Step-by-step explanation:
[tex]\frac{3.75}{y} =\frac{35}{100}[/tex]
y × 35 = 3.75 × 100
35y = 375
35y ÷ 35 = 375 ÷ 35
[tex]y=10\frac{5}{7}[/tex]
y = 10.7142857143
10.7142857143 round to 10.71
How do you know if alternate interior angles and alternate exterior angles have the same measure?
Plz be specific..Will give BRAINLIEST!!!!!!!
Answer:
If the transversal cuts across parallel lines (the usual case) then alternate exterior angles have the same measure. So in the figure above, as you move points A or B, the two alternate angles shown always have the same measure.
Step-by-step explanation:
Hope this helps
12. The product of 0.08 and 0.7 is 5.6
A) True
B) False
Answer:
B (false)
Step-by-step explanation:
it is 0.056
How many cities could have an annual rainfall of 28.5 in 32.5 in
Answer:
A) 6
Step-by-step explanation:
Answer:
2. A) 6
Step-by-step explanation:
#CarryOnLearning
What is the length of line segment FE?
Enter your answer, as a decimal rounded to the nearest tenth, in the box.
FE =
units
Answer:
(7,-1)because it is problem of vector lesson so that we have to use formula of vector
Plsssss help me with this angle circle problem what is x
Answer:
x = 3
Step-by-step explanation:
Once again we want to use the relationship stated earlier
Where A * B = C * D
Once again imagine that the segments in the given problem have letters
A = x
B = 12
C = x + 1
D = 9
Now we create an equation using the relationship
12 * x = 9(x+1)
now we solve using basic algebra
step 1 distribute the 9 to the x and the 1
9 * x = 9x
9 * 1 = 9
now we have 12x = 9x + 9
step 2 subtract 9x from each side
12x - 9x = 3x
9x - 9x cancels out
now we have 3x = 9
step 3 divide each side by 3
3x/3=x
9/3=3
we're left with x = 3
Answer:
x = 3 / C. 3
Step-by-step explanation:
Hope this helps
I need help
I missed the last classes and missed the explanation of the content
Answer:
a) 3.625 or [tex]\frac{29}{8}[/tex]
b) 7.05 or [tex]\frac{141}{20}[/tex]
What is the area of the shape below?
Answer:
31 1/2 yd 2
Step-by-step explanation:
4*6=24
3*5= 15 15/2 = 7 1/2
24+7 1/2 = 31 1/2
if a questions asks to find the area of half of the circle would you do 3.14(pie) times r2(radius squared) times 1/2? and if no then what would you do?
Answer:
[tex]A=\dfrac{3.14r^2}{2}[/tex]
Step-by-step explanation:
The area of a circle is given by :
[tex]A=\pi r^2[/tex]
Where
r is the radius of the circle.
If we talk about the area of half of the circle, it means we have to half the area such that,
[tex]A=\dfrac{\pi r^2}{2}\\\\or\\\\A=\dfrac{3.14r^2}{2}[/tex]
Hence, this is the required solution.
Help with number 10! Step by step please!
9514 1404 393
Answer:
x = -9 (as you know)
Step-by-step explanation:
[tex]\log_6\dfrac{1}{6}=\dfrac{x}{9}\\\\\log_6{(6^{-1})}=\dfrac{x}{9}\\\\-1=\dfrac{x}{9}\\\\x=(-1)(9)=\boxed{-9}[/tex]
_____
I find it helpful to remember that a logarithm is an exponent.
[tex]\log_a(a^b)=b[/tex]
Amit Almor, a psychology researcher at the University of South Carolina, conducted a series of experiments on conversation and attention level. He found that subjects were four times more distracted while preparing to speak or speaking than when they were listening. This research has many implications, including those for the issue of using cell phones while driving.
You decide to explore this issue by having three different groups try tracking a fast-moving target on a computer screen. The first group is preparing to speak, the second group is speaking, and the third group is listening to a conversation.
The sample mean and sum of squares of the scores for each of the three groups are presented in the following table.
Group Sample Mean Sum of Squares
Preparing to speak 98.3 7,2810.0900
Speaking 101.5 6,6156.8100
Listening 103.2 70,277.7600
After collecting the data, you analyze the data using an ANOVA. The results of your analysis are presented in the following ANOVA table.
Source of Variation SS df MS F
Between Treatments 3,095.00 2 1,547.50 5.52
Within Treatments 209,244.66 747 280.11
Total 212,339.66 749
These findings are significant at α = 0.05, which tells you that the difference is very unlikely to have occurred just by chance, but it does not tell you the size of the effect. A simple measure of the effect size is given by: ________
Required:
What is the formula for this measure of the effect size?
Answer:
η²
SSbetween / SStotal
η² = 0.0145757
Step-by-step explanation:
Effect size, η² = SSbetween / SStotal
SSbetween is the sum of square between the groups in the experiment. It is sometimes denoted as SSb.
The sum of square Total, SStotal measures the entire variability in these dataset.
SSbetween = 3,095.00 ; SStotal = 212,339.66
η² = SSbetween / SStotal
Effect size η²= 3,095.00 / 212,339.66
Effect size = 0.0145757
En una caja hay 10 monedas de $50, 20 monedas de $20 y $20 de 10. La probabilidad de sacar una moneda de $10 es:
A 20/20
B 1/2
C 4/10
D 2/5
DOY CORONITA SI RESPONDEN BIEN PLIS
Answer:
tha answer is c
Step-by-step explanation:
Question 10 of 10
Which is not a characteristic of an exponential parent function?
A. It passes through (0,1).
B. It goes through the origin.
C. The domain is all real numbers.
D. The range is positive real numbers (y > 0).
SUBMIT
What is the solution to the system of equations?
y = 2/3x+ 3
x=-2
{-2, -15/2}
{-2, 5/3}
{-2, 11/6}
{-2, 13/3}
Answer:
(-2,5/3)
Step-by-step explanation:
What formula can be used to find circumference? Choose all that what formula can be used to find circumference?choose all that apply apply.
Сл
2πr
πd
2πd
Answer:
2
Step-by-step explanation:
because it can find the circumference
who was the first Democratic elected president of Nigeria
Answer:
Alhaji Shehu Shagari
Step-by-step explanation:
Alhaji Shehu Shagari the first Democratic elected president of Nigeria, He was elected in October 1979. He contested under the The National Party of Nigeria. Prior to that time, Nigeria had been under military rule for more than 13 years.
In December 1983, there was a military coup and he was overthrown.
Find the exact value for the expression under the given conditions.
cos(α+β), sin α= -8/17 for α in Quadrant lll and cosβ= -8/15 for β in Quadrant ll.
Answer:
[tex]\displaystyle \cos(\alpha+\beta)=\frac{120+8\sqrt{161}}{255}[/tex]
Step-by-step explanation:
We are given the conditions:
[tex]\displaystyle \sin(\alpha)=-\frac{8}{17}\text{ and } \cos(\beta)=-\frac{8}{15}[/tex]
Where α is in QIII and β is in QII and we want to find the exact value of cos(α + β).
The first ratio gives us the opposite side and the hypotenuse with respect to α . Then the adjacent side is (we can ignore negatives):
[tex]a=\sqrt{(17)^2-(8)^2}=15[/tex]
The second ratio gives us the adjacent side and the hypotenuse with respect to β. Then the opposite side is:
[tex]o=\sqrt{(15)^2-(8)^2}=\sqrt{161}[/tex]
Therefore, for α, ignoring negatives, the adjacent side is 15, the opposite side is 8, and the hypotenuse is 17.
And for β, ignoring negatives, the adjacent side is 8, the opposite side is √(161), and the hypotenuse is 15.
We can rewrite our expression as:
[tex]\displaystyle \cos(\alpha+\beta)=\cos(\alpha)\cos(\beta)-\sin(\alpha)\sin(\beta)[/tex]
Since α is in QIII, sin(α), cos(α) < 0, and tan(α) > 0.
And since β is in QII, cos(β), tan(β) < 0, and sin(β) > 0.
Using this information, substitute:
[tex]\displaystyle \cos(\alpha+\beta)=\left(-\frac{15}{17}\right)\left(-\frac{8}{15}\right)-\left(-\frac{8}{17}\right)\left(\frac{\sqrt{161}}{15}\right)[/tex]
Therefore:
[tex]\displaystyle \cos(\alpha+\beta)=\frac{120+8\sqrt{161}}{255}[/tex]
Use the graph to write a linear function that relates y to x
y=
Answer:
y = [tex]\frac{4}{3}[/tex] x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (6, 10) ← 2 points on the line
m = [tex]\frac{10-2}{6-0}[/tex] = [tex]\frac{8}{6}[/tex] = [tex]\frac{4}{3}[/tex]
The line crosses the y- axis at (0, 2 ) ⇒ c = 2
y = [tex]\frac{4}{3}[/tex] x + 2 ← equation of line
Find the sum of the first 8 terms of the following series, to the nearest integer.16,20,25
The correct answer is 317.
The sum of the first 8 terms of the series, to the nearest integer is,
⇒ S₈ = 317
What is Geometric sequence?An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
Given that;
The series is,
⇒ 16, 20, 25,
Now, We get;
Common ratio = 20 / 16 = 5 / 4
And, 25 / 20 = 5 / 4
Thus, The series is geometric series.
Hence, The sum of the first 8 terms of the series, to the nearest integer is,
⇒ S₈ = 16 ((5/4)⁸ - 1) / (5/4 - 1)
⇒ S₈ = 16 (390625/65,536 - 1) / (1/4)
⇒ S₈ = 16 × 4 (325,089 / 65,536)
⇒ S₈ = 317.46
⇒ S₈ = 317
Thus, The sum of the first 8 terms of the series, to the nearest integer is,
⇒ S₈ = 317
Learn more about the geometric sequence visit:
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If one side of a cube measures x cm what is the volume
Answer:
The volume is x times x times x which is x^3 :)