In 5-card poker, the number of outcomes favorable to an event E is given in the table. Find the
probability of being dealt four of a kind or a a straight.
The probability of being dealt four of a kind or a straight is
(Round to 6 decimal places.)
Event E
Royal flush
Straight flush
Four of a kind
Full house
Flush
Straight
Three of a kind
Two pairs
One pair
No pair
Total
# of Outcomes Favorable to E
4
36
624
3744
5108
10,200
54,912
123,552
1,098,240
1,302,540
2,598,960

Answer: Plant B produced 4000 panels

Step-by-step explanation: Let the number of panels produced by plant A = a and the number of panels produced by plant B = x. In total, we have 3000 + x.  Now for the defective panels. 10% of plant a + 3% of plant b = 6% of both a and b. 300 + 3/100(x) = 6/100(3000 + x). 300 + 0.03x = 180 + 0.06x. Now, we simplify. 300 - 180 = 0.06x = 0.03x. So, 120 = 0.03x and 40 = 1% of x. This means x = 4000. So, therefore, Plant B produced 4000 panels. We can check our work by using the value of x we got. 4000 + 3000 = 7000. 6% of 7000 = 420. 120 = 3% of 4000. 120 + 300 = 420 so the answer we got is correct. Hope this helped

Answer:

-1 and degree 8

Step-by-step explanation:

the highest degree carry the leading coefficient, and the highest power take the highest degree

The answer is -3.

If m = 4 and n = -7, we can evaluate the expression by substitution.

m + n

4 + (-7)

-3

❄ H there,

evaluate this expression by substituting the provided parameters –

[tex]\sf{m+n} \ | \ m=4 \ \& \ n=-7 \ | 4+(-7)=4-7=-3}[/tex]

That's it!

❄

Answer:

4900

That is your answer..........

Answer:

event

An event can be described as an individual or set of outcomes of an experiment.

Events are a subset of the experiment's sample space.

The sample space of an experiment is the complete set of possible outcomes of that experiment.

Answer:

  c = 2.25

Step-by-step explanation:

The normal distribution function is symmetrical, so the area not in the central zone is split evenly between the lower and upper tails.

We can find -c from ...

  P(x < -c) = (1 - 0.9756)/2 . . . . .  the area in the lower tail

The calculator tells us -c = -2.25.

  c = 2.25

Answer:

15. 4400 yards

16. 47.4 seconds

Step-by-step explanation:

15. 1 mile = 1760 yards

2.5 miles:

2.5(1760) = 4400 yards

16. t = 2.5/190 = 0.013150 h

1 hour = (60)(60) = 3600 seconds

Then 1 lap take

=(0.013150)(3600) = 47.4 seconds

Hope this helps

The shapes that have less than 3 lines of symmetry are Isosceles trapezoid and Isosceles triangle

The shapes are given as:

The lines of symmetry are the lines that, when the shape is rotated through this line, the shape remains the same

As a general rule:

An Isosceles trapezoid and an Isosceles triangle have two lines of symmetry

Hence, the shapes that have less than 3 lines of symmetry are Isosceles trapezoid and Isosceles triangle

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The statement that correctly compares the water bills for the two neighborhoods based on the histogram given is that the range of water bills on Pine Road is higher than the range of water bills on Front Street.

It should be noted that a histogram means a graph that shows the frequency of the numerical data using rectangles.

In this case, the statement that correctly compares the water bills for the two neighborhoods based on the histogram given is that the range of water bills on Pine Road is higher than the range of water bills on Front Street. This was the difference between the highest and lowest number.

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Answer: More homes on Pine Road had water bills above $200 than on Front Street.

Step-by-step explanation: edge 2023

Answer:

The top left answer is correct.

Step-by-step explanation:

If you take each ordered pair and put them in the form y/x.  The top left corner is the only one where all of the equations are equivalent.

7/1 = 21/3 = 35/5 = 49/7

Answer:

130

Step-by-step explanation:

let the inside value be,x

x+30°+20°=180°(Being sum of interior angle of triangle)

or,x+50°=180°

or,x=180°-50°

or,x=130°

Now,

let the exterior angle be,a

a=x(VOA)

a=130°

Therefore the value of a is 130°.

The coordinates of the center is at (1, 0) and the length of the radius is 4 units.

An equation is an expression that shows the relationship between two or more variables and numbers.

The standard form of a circle is:

(x - h)² + (y - k)² = r²

Where (h, k) is the center of the circle and r is the radius.

The coordinates of the center is at (1, 0) and the length of the radius is 4 units.

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Answer:

16

Step-by-step explanation:

Mean is same as average. To find the average, add all items and divide the sum by the number of items in the list.

Avg = (13 + 7 + 8 + 4) / 2 = 32 / 2 = 16

Hi there,

please see below for solution steps :

‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗

To find the mean you first need to add all numbers and divide by how many there are :

  [tex]\sf{\dfrac{13+7+8+4}{4}}[/tex]

⨠ simplify

[tex]\sf{\dfrac{32}{4}}[/tex]

[tex]\boxed{\sf 8}[/tex]                                                                                              [tex]\tiny\pmb{\sf{Frozen \ melody}}[/tex]

‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗

The number of ways the program can be arranged for this segment is 8, 648, 640 ways

It is important to note that the formula for finding the permutation or arrangement of a set of dats is given as;

Permutation = [tex]\frac{n!}{(n-r)!}[/tex]

where

Let's substitute the values into the formula for permutation, we have

Permutation = [tex]\frac{13!}{13 - 7!}[/tex]

Find the difference of the denominator

Permutation = [tex]\frac{13!}{6!}[/tex]

Find the factorial of the values

Permutation = [tex]\frac{6,227,020,800}{720}[/tex]

Divide the numerator by the denominator

Permutation = 8, 648, 640 ways

Thus, the number of ways the program can be arranged for this segment is 8, 648, 640 ways

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Answer:

exact: SA = 260π in.²

approximate: SA = 816.81 in.²

Step-by-step explanation:

SA = 2πr² + 2πrh

r = 10 in.

h = 3 in.

SA = 2πr(r + h)

SA = 2π(10 in.)(10 in. + 3 in.)

SA = 260π in.²

SA = 816.81 in.²

The price of a mansion is $1.00 in 2013.

What is difference between a nominal and real variable?

Nominal variables are expressed in money or dollar terms, whereas the real variable compares the wage earned per hour to the basket of goods or services that it can purchase.

In comparing the wage earned per hour to 2 comic books, since the two would cost $12,that explains real variable, which is not required in this case.

However, comparing the the wage of $12 per hour to the price of mansion, which is $1 per one, indicates nominal variable.

In essence, the correct option in this case is that price of a mansion is $1.00 in the year 2013.

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The amount invested in the first account is $1,500 and $6,500 was invested in the second account.

What is simple interest?

Simple interest is determined as the principal multiplied by the interest rate ,then multiplied by the duration of the investment.

The formula for simple interest on an investment is as shown below:

I=PRT

P=principal=$8,000

R=interest rates= 1% and 6%

T=duration of investment=1 year

Let assume that X was invested at 1% and that the remaining of $8000-X is invested at 6%.

Interest on the first account=X*1%*1

Interest on the first account=0.01X

Interest on second account=($8000-X)*6%*1

Interest on second account=480-0.06X

Total interest=0.01X+480-0.06X

Total interest=480-0.05X

Total interest=$405

405=480-0.05X

0.05X=480-405

0.05X=75

X=75/0.05

X=amount invested in the first account=$1,500

Amount invested in the second account=$8000-X

Amount invested in the second account=$8,000-$1,500

Amount invested in the second account=$6,500

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Answer:

(4x+5)

Step-by-step explanation:

4x(5x-3)+5(5x-3)

collecting like terms, first part is (5x-3) hence second part of the equation is (4x+5) from the equation above.

Answer:

Step-by-step explanation:

(20x2 – 12x) + (25x– 15)

4x(5x – 3) + 5(5x – 3)

(( (5x – 3)(4x +5) ))

Answer:

The value of b equals to

[tex] \frac{5}{72} [/tex]

Step-by-step explanation:

steps given below

given expression

[tex]b + \frac{3}{8} = \frac{4}{9} \\ [/tex]

subtract

[tex] \frac{3}{8} [/tex]

from both sides

[tex]b + \frac{3}{8} - \frac{3}{8} = \frac{4}{9} - \frac{3}{8} \\ b = \frac{4}{9} - \frac{3}{8} [/tex]

To, continue find the L.C.M of 9 and 8 thus, it's 72

So, plug 72 and solve the expression as follows

[tex]let \: \frac{a}{c} - \frac{b}{c} = \frac{a - b}{c} \\ b = \frac{32 - 27}{72} = \frac{5}{72} [/tex]

Hope it helps!

A simultaneous equation is a set of equations that has to be solved in relation to each other at the same time. Thus the required number of stamps are:

4¢ stamps = 16

5¢ stamps = 7

A simultaneous equation is a set of equations that has to be solved in relation to each other at the same time. This process is required so as to determine the values of two unknowns e.g x and y.

From the given question, let the number of 4¢ stamps be represented by n, and that of the 9¢ stamp be represented by m.

So that,

n + m = 23 ............ 1

But 100¢ = $1, so that;

4¢ = x

x = [tex]\frac{4}{100}[/tex]

  = $0.04

also,

9¢ = x

x = [tex]\frac{9}{100}[/tex]

  = $0.09

Thus, we have;

0.04n + 0.09m = 1.27 ......... 2

From equation 1, make n the subject of the formula, such that;

n = 23 - m ........... 3

Substitute equation 3 into equation 2

0.04(23 - m) + 0.09m = 1.27

0.92 - 0.04m + 0.09m = 1.27

collect like terms to have;

0.05m = 1.27 - 0.92

          = 0.35

m = [tex]\frac{0.35}{0.05}[/tex]

m = 7

Now substitute the value of m into equation 3

n = 23 - m ........... 3

  = 23 - 7

n = 16

Therefore the number of 4¢ stamps is 16, while that of the 5¢ stamps is 7.

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Answer:

calcium =1x40=40

chlorine=2x35=70

40+70=110

ca=40/110×100=36.36

when we approximate it become 36.4

thanks

Answer:

what is the question show the pic

Answer:

2y - 100

Step-by-step explanation:

Last year's income = y

2y-100

Answer:

84

Step-by-step explanation:

15+15+27+27

The value of the greater integer which is the next consecutive odd integer is; -1.

By observation, it follows that the first integer can be represented by 2x+1 while the next consecutive odd integer can be represented as 2x+3.

Hence, it follows that we have;

2(2x+3) - 2x - 1 = 1

4x +6 -2x - 1 = 1

2x = -4

x = -2.

Consequently, the value of the next consecutive greater integer is; 2(-2) + 3= -1.

It consequently follows from the computations above that the value of the greater odd integer is; -1.

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Using continuous compounding, it is found that the value of r is of r = 7.7%.

The amount of money after t years in continuous compounding is:

[tex]P(t) = P(0)e^{rt}[/tex]

In which:

The doubling time of 9 years means that P(9) = 2P(0), which is used to find r, hence:

[tex]P(t) = P(0)e^{rt}[/tex]

[tex]2P(0) = P(0)e^{9r}[/tex]

[tex]e^{9r} = 2[/tex]

[tex]\ln{e^{9r}} = \ln{2}[/tex]

[tex]9r = \ln{2}[/tex]

[tex]r = \frac{\ln{2}}{9}[/tex]

r = 0.077.

r = 7.7%.

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Answer:

C

Step-by-step explanation:

32/sqrt(2) = 32sqrt(2)/2 = 16sqrt2

Answer:

C.

Step-by-step explanation:

It is a right triangle with hypotenuse c = 12, also for having two equal angles is an isosceles triangle, the missing sides (catethus) are equal (a and b)
a = b = the legs

Apply the Pythagorean theorem

[tex]c^{2}=a^{2} +b^{2} \\c^{2} =2a^{2}[/tex]

[tex]a^{2} =\frac{c^{2} }{2}=\frac{(32)^{2} }{2} =512[/tex]

[tex]a=\sqrt{512} =\sqrt{256(2)} =16\sqrt{2}[/tex]

Hope this helps

Given that the length ratio between the radii of the two circles is (2 · x) / (5 · y). The ratio of the areas of the two circles is (4 · x²) / (25 · y²).

According to the statement we know that the radius ratio between two circles. Given that the area of the circle is directly proportional to the square of its radius, then the area ratio is shown below:

A ∝ r²

A = k · r²

A' · r² = A · r'²

A' / A = r'² / r²

A' / A = (r' / r)²

A' / A = [(2 · x) / (5 · y)]²

A' / A = (4 · x²) / (25 · y²)

Given that the length ratio between the radii of the two circles is (2 · x) / (5 · y). The ratio of the areas of the two circles is (4 · x²) / (25 · y²).

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The numbers that would be included in the sample are 4, 1, 1, 4, 7, 9, 2, 6, 4, 7, 4, 4, 1, 0, 3, 0, 5, 0, 7, 1, 1, 6, 5, 4, 9

The complete question is added as an attachment

The given parameters are:

Row = 3

Column = 6

From the attached figure, the entries in row 3 are:

4, 1, 1, 4, 7, 9, 2, 6, 4, 7, 4, 4, 1, 0, 3, 0, 5, 0, 7 1

From the attached figure, the entries in column 6 are:

1, 6, 9, 5, 4, 9

Hence, the numbers that would be included in the sample are 4, 1, 1, 4, 7, 9, 2, 6, 4, 7, 4, 4, 1, 0, 3, 0, 5, 0, 7, 1, 1, 6, 5, 4, 9

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