Leslie is a biologist. She is going to randomly select one animal from her lab to study. There are 555 salamanders, 333 crayfish, and 121212 minnows in her lab. What is \text{P(salamander})P(salamander)start text, P, left parenthesis, s, a, l, a, m, a, n, d, e, r, end text, right parenthesis?

Answer:

A $78.50

Step-by-step explanation:

Pennies $2.50

nickels $6.00

dimes $30.00

quarters $40.00

Answer:

y=5 and x=12 you have to use a^2+b^2=c^2 to find y so you would do 3^2+4^2=25 however u have to square root of 25 is 5 and then use c^2-b^2=a^2 to find x. HOPE IT HELPS. GOOD LUCK

Answer:

y = 5

Step-by-step explanation:

In a right angled triangle the square of the long side is equal to the sum of the squares of the other two sides.

a² + b² = y²

3² + 4² = y²

9 + 16 = y²

y² = 25

y = 5

Answer:

Is this just spam?

Step-by-step explanation:

If you need help let me know.

When reflected across a line of symmetry, a shape having that line of symmetry will fall on itself. These are the actual claims:

(1) The rectangle's diagonals will line up exactly with one another.

(2) A rectangle's diagonals are symmetry lines.

We deduce from the question that the rectangle is mirrored across the symmetry line.

When done, the rectangle's half will fall directly on the other half.

This indicates that the rectangle's diagonal will line up perfectly with the opposite diagonal.

According to the aforementioned claim, a rectangle's diagonal is also its line of symmetry.

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1. Yes. There is a proportional relationship between the cost of items before tax and the price after tax because they share a constant of proportionality.

2. The constant of proportionality refers to the relative ratio that establishes the proportional relationship between two values.

Other descriptions of the constant of proportionality include:

Two variables possess a proportional relationship when their ratio or product produces a constant.

We can use the equation, k = y ÷ x, to find the constant of proportionality.

For instance, let the cost of items before tax be $100 with a 7% sales tax. The cost of the articles after tax is $107.

Therefore, the constant of proportionality is 1.07 ($107/$100).

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Answer:

1/100

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.

the probability = (number of yellow marbles / total number of marbles) x (number of yellow marbles / total number of marbles)

total number of marbles = 1 + 5 + 4 = 10

(1/10) x (1 / 10) = 1 /100

Answer:

I think this is the answer

Answer:

The answer is C.) y = 2x + 5

Answer:

21 boys

its simple math

Answer:

14 boys

Step-by-step explanation:

In order for the answer to be 14, you need to know the times tables of 5 and 7. 5 times 7 is 35, and 2 times 7 is 14. Your answer is 14.

The complete statement as -

"Adjusting entries are needed to correctly measure the net income (loss) on the income statement ."

The term balance sheet refers to a financial statement that reports a company's assets, liabilities, and shareholder equity at a specific point in time.

Given is to complete the statement as -

"Adjusting entries are needed to correctly measure the ________."

We can write the complete statement as -

"Adjusting entries are needed to correctly measure the net income (loss) on the income statement ."

Therefore, the complete statement as -

"Adjusting entries are needed to correctly measure the net income (loss) on the income statement ."

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Answer:

\( - 30\)

Step-by-step explanation:

\( \sin {}^{ - 1} ( - \frac{1}{2} ) = \)

Using the identity,

\( \sin( - x) = - ( \sin(x) )\)

\( \sin( \frac{1}{2} ) = \frac{\pi}{6} \)

so

\( \sin {}^{ - 1} ( \frac{ - 1}{2} ) = - \frac{\pi}{6} \)

Convert to degrees.

\( - 30\)

Yes, The triangles are congruent by SSS i,e option(D)

When two corresponding sides and the angle included between them of one triangle match those of two corresponding sides and the angle included between them of another triangle, the two triangles are said to be congruent. Two triangles are said to be congruent if their three sides and three angles, in any orientation, are equal.

By applying the CPCTC (Corresponding Parts of Congruent Triangles are Congruent) theorem, the two sides of the triangle in issue are made equal, hence making the third sides equal.

Therefore, we can say the triangles are congruent by SSS i,e option(D)

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a.  P(X > 4) is approximately 0.3713. b. P(X = 2) is approximately 0.1465. c. P(X < 1) is approximately 0.9817.

a. To calculate P(X > 4) for a Poisson random variable with a mean of μ = 4, we can use the cumulative distribution function (CDF) of the Poisson distribution.

P(X > 4) = 1 - P(X ≤ 4)

The probability mass function (PMF) of a Poisson random variable is given by:

P(X = k) = (e^(-μ) * μ^k) / k!

Using this formula, we can calculate the probabilities.

P(X = 0) = (e^(-4) * 4^0) / 0! = e^(-4) ≈ 0.0183

P(X = 1) = (e^(-4) * 4^1) / 1! = 4e^(-4) ≈ 0.0733

P(X = 2) = (e^(-4) * 4^2) / 2! = 8e^(-4) ≈ 0.1465

P(X = 3) = (e^(-4) * 4^3) / 3! = 32e^(-4) ≈ 0.1953

P(X = 4) = (e^(-4) * 4^4) / 4! = 64e^(-4) / 24 ≈ 0.1953

Now, let's calculate P(X > 4):

P(X > 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4))

        = 1 - (0.0183 + 0.0733 + 0.1465 + 0.1953 + 0.1953)

        ≈ 0.3713

Therefore, P(X > 4) is approximately 0.3713.

b. To calculate P(X = 2), we can use the PMF of the Poisson distribution with μ = 4.

P(X = 2) = (e^(-4) * 4^2) / 2!

        = 8e^(-4) / 2

        ≈ 0.1465

Therefore, P(X = 2) is approximately 0.1465.

c. To calculate P(X < 1), we can use the complement rule and calculate P(X ≥ 1).

P(X ≥ 1) = 1 - P(X < 1) = 1 - P(X = 0)

Using the PMF of the Poisson distribution:

P(X = 0) = (e^(-4) * 4^0) / 0!

        = e^(-4)

        ≈ 0.0183

Therefore, P(X < 1) = 1 - P(X = 0) = 1 - 0.0183 ≈ 0.9817.

Hence, P(X < 1) is approximately 0.9817.

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Answer:

e)times by 10

Step-by-step explanation:

collects like term

?=x

x=460÷46

=10

Answer:

5) distributive property

7) Transitive property

8) Associative property

Step-by-step explanation:

Answer:

it is 198 i beleive

Step-by-step explanation: because there's 144 plus 49 so that makes 198

Answer:

the 900 ml for £5.50

Step-by-step explanation:

Given data

900 ml for £5.50

The cost per ml is

= 5.5/900

= £0.0061 per ml

400 ml for £2.50

The cost per ml is

= 2.5/400

= £0.00625 per ml

Hence the 900 ml for £5.50 is the best buy

P(X ≤ 5) is 0.5102, b) P(4.5 ≤ X ≤ 5) is 0.09694, c) P(X>5) is 0.3827, d) the median is 4.9497, e) the density function is 0 , x<0   f(x) = 2x/49 , 0 ≤ x ≤7       0, 7≤ x       f) the variance and standard deviation are 2.7222 and 1.64991 respectively, while h) E(h(x)) is 24.5.

Here it is given that the CDF of the distribution is

0 , x<0

F(x) = x²/49 , 0 ≤ x ≤ 7

1, 7≤ x

a)

We need to find P(X ≤ 5)

Since we will have to sum up all values from (X=0) to  P(X ≤ 5)

This implies we need to find F(X=5)

This can be easily found in the formulae where we get

F(X=5) = 5²/49

= 0.5102

b) To calculate P(4.5 ≤ X ≤ 5)

We can calculate the following by subtracting F(X=4.5) from F(X=5)

=  25/29 - 4.5²/49

= 4.75/49

= 0.09694

c)

P(X>5.5)

= 1 - P(X≤5.5)

= 1 - F(X = 5.5)

= 1 - 5.5²/49

= 0.3827

d)

Let the median be x.

A median divides the cumulative frequency into 2 equal halves.

Therefore, the value of F(X=x) = 0.5

=> x²/49 = 0.5

or, x² = 24.5

or, x = 4.9497

e)

To obtain the density function, f(x0 we must differentiate the cumulative distribution function with respect to x.

Doing so will give us

0 , x<0

f(x) = 2x/49 , 0 ≤ x ≤ 7

0, 7≤ x

f)

Since f(x) is clearly a continuous probability distribution function

E(X) = ∫xf(x)dx with limits 0 to 7

= ∫2x²/49dx with limits 0 to 7

= 2x³/147 with limits 0 to 7

Applying the limits gives us

686/147

= 4.6667

g)

V(X) = variance of f(x)

= E(X²) - E²(X)

E(X²)

= ∫2x³/49dx with limits 0 and 7

= x⁴/98 with limits 0 to 7

= 24.5

Hence

V(X) = 24.5 - 21.7778

= 2.7222

σ(x) = √V(X)

= 1.64991

h)

Now here instead of being charged X amount i.e x²/49, the borrower is being charged X² amount which is (x²/49)².

We need to compute the expected charge E[h(X)]

= E(X²)

This we already know is 24.5

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(a) The mean of Z in case (a) is -60 and the variance is 400.

(b) The mean of Z in case (b) is 280 and the variance is 3600.

(c) The mean of Z in case (c) is 60 and the variance is 65.

(d) The mean of Z in case (d) is -20 and the variance is 65.

(e) The mean of Z in case (e) is 80 and the variance is 505.

To find the mean and variance of the random variable Z for each case, we can use the properties of means and variances.

(a) Z = 40 - 5X

Mean of Z:

E(Z) = E(40 - 5X) = 40 - 5E(X) = 40 - 5 * 20 = 40 - 100 = -60

Variance of Z:

Var(Z) = Var(40 - 5X) = Var(-5X) = (-5)² * Var(X) = 25 * Var(X) = 25 * (4)² = 25 * 16 = 400

Therefore, the mean of Z in case (a) is -60 and the variance is 400.

(b) Z = 15X - 20

Mean of Z:

E(Z) = E(15X - 20) = 15E(X) - 20 = 15 * 20 - 20 = 300 - 20 = 280

Variance of Z:

Var(Z) = Var(15X - 20) = Var(15X) = (15)² * Var(X) = 225 * Var(X) = 225 * (4)² = 225 * 16 = 3600

Therefore, the mean of Z in case (b) is 280 and the variance is 3600.

(c) Z = X + Y

Mean of Z:

E(Z) = E(X + Y) = E(X) + E(Y) = 20 + 40 = 60

Variance of Z:

Var(Z) = Var(X + Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (c) is 60 and the variance is 65.

(d) Z = X - Y

Mean of Z:

E(Z) = E(X - Y) = E(X) - E(Y) = 20 - 40 = -20

Variance of Z:

Var(Z) = Var(X - Y) = Var(X) + Var(Y) = (4)² + (7)² = 16 + 49 = 65

Therefore, the mean of Z in case (d) is -20 and the variance is 65.

(e) Z = -2X + 3Y

Mean of Z:

E(Z) = E(-2X + 3Y) = -2E(X) + 3E(Y) = -2 * 20 + 3 * 40 = -40 + 120 = 80

Variance of Z:

Var(Z) = Var(-2X + 3Y) = (-2)² * Var(X) + (3)² * Var(Y) = 4 * 16 + 9 * 49 = 64 + 441 = 505

Therefore, the mean of Z in case (e) is 80 and the variance is 505.

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Answer:

0.41 probability

Step-by-step explanation:

0.22 + 0.19 = 0.41

Answer:Yes they are mutually exclusive!

0.22 + 0.19 = 0.41

Step-by-step explanation:

1. keep the demoninator the same

2. to find the numberator, multiply the demoninator number by the whole number, and add the product of that with the numerator number.

example:

2 3/8 = 19/8

1. so, keep the denominator the same, which means that the denominator is 8

2. to find the numerator, you do:

8 times 2 = 16

16 + 3 = 19

--

therefore, the improper fraction of 2 3/8 is 19/8

i hope that helps explain/clarify what you're confused with. :D

How to find slope?

If two point are

Slope is given by

\(\\ \sf\longmapsto Slope=m=\tan\Theta=\dfrac{y_2-y_1}{x_2-x_1}\)

The values that represent the possible distance, d, in miles, between Lincoln, NE, and the third city are given as follows:

300 < d < 699.

A set of measurements can represent a triangle if the sum of the two smaller measurements is greater than the greater measures.

The measurements for this problem are given as follows:

Then if 500 miles is the largest distance, we have that:

x can be between 300 and 500.

If x is the largest distance, we have that:

x can be between 501 and 699.

Then the range of possible distances is given as follows:

300 < d < 699.

(which are the distances for each case).

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Answer:

see picture

Step-by-step explanation:

Step-by-step explanation:

f(x) = 2x - 5

g(x) = -x - 1

f(-4) = 2×-4 - 5 = -8 - 5 = -13

g(-4) = -(-4) - 1 = 4 - 1 = 3

g(3) = -3 - 1 = -4

f(5x) = 2(5x) - 5 = 10x - 5 = 5(2x - 1)

g(5x) = -(5x) - 1 = -5x - 1

Answer: 90

Step-by-step explanation:

91 - 1  = 90

Answer: 90

Step-by-step explanation:

Answer:

I think it would be represented by the equation 5x+35=115

Step-by-step explanation:

Answer:
SKITTLES: 35
M&MS: 20

Step-by-step explanation:

First, I multiplied how much is required for to be even, which is 27.5.

So just double the m&m's, which is 55, then subtract the 55 m&m's by 20, and then you get 35 skittles.

Then you have 20 bags of m&m's left over, hope this is correct and helpful.

Answer:

1- x= 9

2- x= 10...............

Answer:

a. 5,12,13

Step-by-step explanation:

we know in right angle triangle

AC^2 = AB^2 + BC^2

here let

AC = 13

AB = 5

BC = 12

So,

13 ^2 = 5^2+ 12^2

169 = 25 + 144

169 = 169

so,

sides of right angle triangle are 5,12,13

and only the largest value in given data can be AC as AC is hypotenuse