A stack of Magic cards consists of 4 land cards and 6 creature cards. You draw 4 cards from the shuffled stack of 10 cards. Find the probability that you pull 4 creature cards. (give answer as a fraction or a decimal to 3 decimal places)

Find the probability that you pull 3 land cards and 1 creature card.
(give answer as a fraction or a decimal to 3 decimal places)

Answer:

The sixth term is -3,072

Step-by-step explanation:

Here, we want to get the 6th term

From the question, the first term is -12

the common ratio would be -12/3 = -4

So the sixth term will be;

ar^5

= 3 * (-4)^5 = -3072

The probability that this applicant will not get the job is 0.40 or 40%.

If an applicant has a 60% chance of getting a certain job, then the probability of not getting the job can be calculated by subtracting the probability of getting the job from 1.

Probability of not getting the job = 1 - Probability of getting the job

Given that the applicant has a 60% chance of getting the job, the probability of getting the job is 0.60.

Therefore, the probability of not getting the job is:

Probability of not getting the job = 1 - 0.60 = 0.40

So, the probability that this applicant will not get the job is 0.40 or 40%.

This means that there is a 40% chance that the applicant will not be selected for the job based on the given information.

It is important to note that this probability assumes that the chance of getting the job and not getting the job are the only possible outcomes and that they are mutually exclusive (i.e., the applicant either gets the job or does not get the job).

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Answer: 3x² + 2x - 4 = 0

Step by step explanation: Δ = b² - 4.a.c

Δ = 2² - 4 . 3 . -4

Δ = 4 - 4. 3 . -4

Δ = 52

x = (-b +- √Δ)/2a

x' = (-2 + √52)/2.3    

x'' = (-2 - √52)/2.3

x' = 0,8685170918213297    

x'' = -1,5351837584879966

2 Decimal places

x' = 0,87

x'' = -1,54

After 11 minutes, the angle between the hour's hand and the minute hand is 180°.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

A 12 hours roundabout simple clock shows 6 o'clock, with the hour hand pointing at 6, and the moment hand pointing at 12.

The angle between the hour hand and minute hand is 180°. Then the number of minutes is given as,

In each hour, the hour hand rotates 30°. Then in 8 hours, the hour hand rotation is calculated as,

⇒ 30° x 8

⇒ 240°

After 11 minutes the position of the hour hand is given as,

⇒ 240° + (11 / 60) x 30°

⇒ 240° + 5.5°

⇒ 245.5°

The rotation of the minute hand is given as,

⇒ (360° / 60) x 11

⇒ 66°

Then angle between the hour and the minute hand is calculated as,

Angle = 245.5° - 66°

Angle = 179.5°

Angle ≈ 180°

The number of minutes past 7 o'clock will be 11 minutes.

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this is just a quick addition to the good posting above by "s157778"

Check the picture below.

The volume of the solid is, 8a³/3.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, To find the volume of the solid, we first need to determine the limits of integration.

Since the cross sections are perpendicular to the x-axis, we will integrate with respect to x.

Let's consider a cross section of the solid at a particular value of x, which we will call x₀.

This cross section is a square, so its area is given by the side length squared.

The side length of the square is equal to the distance between the y-values where the graph of x² + y² = a² intersects the line x = x₀

Now, Using the equation of the circle, we can solve for y in terms of x:

y² = a² - x²

y = ± √(a² - x²)

Hence, The distance between these two y-values is therefore:

⇒ √(a² - x²) - (-√(a² - x²))

= 2√(a² - x²)

So, the area of the cross section at x = x₀ is:

Area = (2 √(a² - x²))²

        = 4(a² - x²)

To find the volume of the solid, we integrate this area with respect to x from -a to a:

⇒ Volume = ∫[-a,a] 4(a² - x²) dx

                = 4a² ∫[-a,a] dx - 4 ∫[-a,a] x² dx

                 = 8a³/3

Therefore, The volume of the solid is, 8a³/3.

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Yes, the P-values in (i) and (ii) are both very small, providing strong evidence against the null hypothesis.

(i) Upper Ha: p > 0.50Ha: p > 0.50​ is 0.0045.

(ii) Upper Ha: p ≠ 0.50Ha: p ≠ 0.50​ is 0.0090.

(iii) Upper Ha: p < 0.50Ha: p < 0.50​ is 0.9955.

Yes, the P-values in (i) and (ii) are both very small. This indicates that the probability of observing a test statistic as or more extreme than the one we have is very low, or in other words, it is very unlikely that the null hypothesis would be true. This provides strong evidence against the null hypothesis.

To calculate the P-values, the z-score (2.582) was converted to a p-value using the standard normal distribution table. For (i) and (ii), the p-value was determined by finding the area under the curve that is greater than the z-score. For (iii), the p-value was determined by finding the area under the curve that is less than the z-score. This was then subtracted from 1 to obtain the p-value for (iii).

Yes, the P-values in (i) and (ii) are both very small, providing strong evidence against the null hypothesis.

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Answer:

(-4,0) and (5,0)

Step-by-step explanation:

Factor.

f(x) = x^2 -x - 20

Factors of -20 that when are added they equal -1

-5 and 4

(x-5) (x+4)

x=5 and x=-4

Answer:

Step-by-step explanation:

Distance = speed * time

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Speed = 12 mph

Time = 1 1/2 hour = 1.5 hour

She can travel 18 miles in 1 1/2 hours

Answer: 152y + 125

Step-by-step explanation:

All we need to do is add like terms...

First, I added the two Y terms together, 60y and 92y, which equals 152y.

Next, add the two numbers together, 40 and 85, which equals 125.

Since this is an addition equation it doesn't matter which way you write the terms, therefore the answer will be either 152y + 125 or 125 + 152y

:) hope this helps you

Answer:

d. 20°

Step-by-step explanation:

First, we need to solve for m<Q

m<Q+m<R+m<S=180°

where m<R=90° and m<S=70°

m<Q+90°+70°=180°

m<Q=20°

Since m<Q=m<M

Then, m<M=20°

Answer: The one below the top.

Step-by-step explanation: In order to tell if it is a function or not, you need to do the vertical line test. By examining the graph you can see that majority of the graphs has two points in the same x-axis. The only one that pasts the test is the graph below the top one.

Answer: The second one is because there can't be two y's in a straight line of a function and all of the other graphs have two y's in a line.

Step-by-step explanation:

Answer:

pemdas

Step-by-step explanation:

3^3 = 27 (3*3*3)

9^1 =9 (9)

27/9= 3

Answer:

Step-by-step explanation:

7x + 3 = 3x + 35

4x + 3 = 35

4x = 32

x = 8

Answer:

obtion b and d

Step-by-step explanation:

4x + 5 = -4x + 5

4x + 4x = 5 - 5

8x = 0

x = 0/8

x = 0     (this has solution)

-4x + 5 = -4x - 4

-4x + 4x = -4 + 5

0 = -1   (this has no solution)

5x + 5 = -4x - 4

5x + 4x = -4 - 5

9x = -9

x = -9/9

x = -1                   (this has solution)

-4x + 5 = -4x - 5

-4x + 4x = -5 -5

0 = -10       (this has no solution)

Answer:

122.5 minutes

Step-by-step explanation:

21 hotdigs in 6 min

1 hotdog 3.5 minutes

therefore 35 hotdogs = 122.5 minutes

Answer:

Using the simple interest formula

I = P r t

P = I /  (.10 * 5) = 2 I = 80 $      at a 10% rate / year

Note in 1 yr   I = 80 * .1 * 1 = 8 $   so 40$ will be generated in 5 yrs

If the money were reinvested

A = P (1 + i)^n = 80 ( 1.1)^5 = 128.84  giving 48.84 interest after 5 years

Answer:

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

I = Prt

I = 40  R = .10  T = 5

40 = P (.10)(5)

40 = P(.5)

Divide each side by .5

40/.5 = .5P/.5

80 = P

The equation of the exponential graph shown is y = 100(1/2)^x

From the question, we have the following parameters that can be used in our computation:

An exponential graph

The equation of an exponential graph is represented as

y = ab^x

Where

a = y when x = 0

This means that

a = 100

So, we have

y = 100(b)^x

Using the points on the graph, we have

50 = 100(b)^1

This gives

b = 1/2

Hence, the equation is y = 100(1/2)^x

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Answer:

20 students

Step-by-step explanation:

Turn 28 into an improper fraction. Multiply 28 by 5 and multiply 7 by 1. You will have 140/7, which equals 20.

Answer:

well.. To solve this problem, use  multiplication  and  

20  of Mrs. Perez’s students participate in school sports

Step-by-step explanation:

Answer:

\(36.35 - 2.41 \\ = 33.94\)

Answer:

33.94

Step-by-step explanation:

Just subtract 2.41 from 36.35 and you get the answer. Easy!

Value of p is 0.5.

Given

Mean of a binomial distribution np = 12

Sample n = 60

The binomial distribution is the discrete probability distribution that gives only two possible results in an experiment, either success or failure.

To calculate the mean of a binomial distribution B(n, p) we need to multiply the number of trials n by the probability of successes p,

mean = n × p .

Value of p:

np = 12

(60) p = 12

p = 12/60

p = 1/2

p = 0.5

Value of p is 0.5.

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Answer:

Step-by-step explanation:

If 33/4 is 8.25 dollars, that means in 7 hours he will make on average 57.75 dollars if 8.25 times 7 is 57.75.

The two expressions that are equivalent to 4(7x + 2 + x) are:

1. 4(8x + 2)

2. 32x + 8

In the given expressions, we have 4(7x + 2 + x). To simplify this expression, we can distribute the 4 to each term inside the parentheses:

4(7x + 2 + x) = 4(8x + 2)

This simplification is equivalent to the expression 4(8x + 2).

Additionally, we can further simplify the expression 4(8x + 2) by multiplying:

4(8x + 2) = 32x + 8

Therefore, the expression 32x + 8 is also equivalent to 4(7x + 2 + x).

Both 4(8x + 2) and 32x + 8 represent the same value as 4(7x + 2 + x), and either expression can be used interchangeably in calculations or substitutions.

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Answer:

∠RST, ∠TSR, ∠S

Step-by-step explanation:

When using three letters, the middle letter must be the vertice of the angle, and the other two are the points surrounding it. You can also just use a single letter to name the angle if there is only one angle at that vertice.

The set of polynomials 2x^2 - 2x, 3x^2 - 2x + 2, and -4x^2 + 2x is linearly independent.

A set of polynomials is said to be linearly independent if none of the polynomials can be expressed as a linear combination of the others. To determine whether the given set is linearly independent, we need to check if there exist constants (coefficients) such that the only solution to the equation c1(2x^2 - 2x) + c2(3x^2 - 2x + 2) + c3(-4x^2 + 2x) = 0 is c1 = c2 = c3 = 0.
Let's set up the equation and simplify it:
2c1x^2 - 2c1x + 3c2x^2 - 2c2x + 2c2 - 4c3x^2 + 2c3x = 0.
Combining like terms, we get:
(2c1 + 3c2 - 4c3)x^2 + (-2c1 - 2c2 + 2c3)x + 2c2 = 0.
For this equation to hold for all values of x, each coefficient must be zero. We have the following system of equations:
2c1 + 3c2 - 4c3 = 0,
-2c1 - 2c2 + 2c3 = 0,
2c2 = 0.
Solving this system of equations, we find that c1 = c2 = c3 = 0 is the only solution. Therefore, the set of polynomials is linearly independent. The correct answer is (B) Yes.

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Answer: 5.75

Step-by-step explanation:

By doing the slope formula then dividing 115 by 20 you’ll get 5.75

Answer:

broke

Step-by-step explanation:

----$$$$$$$

Saw A = 150 planks/30 seconds = 5 planks per second

Saw B = 130 planks/ 13 seconds = 10 planks per seconds

5 + 10 = 15 planks per second total

225 planks / 15 planks per second = 15 seconds

Answer: 15 seconds