You pick a card at random. 5 6 7 What is P(less than 7)? Write your answer as a fraction or whole number.

Answer:

not a function because it doesn't pass the vertical line test

Step-by-step explanation:

even though they have different y coordinates they still don't pass the test

Any value between 110 and 250 is within 2 standard deviations of the mean. In other words, any data point between 110 and 250 is considered within this range.

Within 2 standard deviations of the mean refers to the range that includes data points within two units of standard deviation from the mean. In this case, the mean is 180 and the standard deviation is 35.

To find the range within 2 standard deviations of the mean, we need to calculate the upper and lower bounds.

The upper bound can be found by adding 2 standard deviations (2 * 35 = 70) to the mean: 180 + 70 = 250.

The lower bound can be found by subtracting 2 standard deviations (2 * 35 = 70) from the mean: 180 - 70 = 110.

Therefore, any value between 110 and 250 is within 2 standard deviations of the mean. In other words, any data point between 110 and 250 is considered within this range.

It's important to note that this answer is specific to the given mean and standard deviation. If the mean and standard deviation were different, the range within 2 standard deviations would also be different.

Always calculate the upper and lower bounds based on the provided mean and standard deviation to determine the range within 2 standard deviations accurately.

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b)A negative correlation coefficient is generally undesirable when using correlation coefficients to evaluate reliability(b).

Correlation coefficients are used to measure the degree of association between two variables.In the context of evaluating reliability, correlation coefficients are often used to assess the consistency or stability of a measurement over time or across different raters or items.

A correlation coefficient close to 1 indicates a strong positive relationship between the variables, which is generally desirable for evaluating reliability.However, a negative correlation coefficient indicates a negative relationship between the variables, which suggests that the measurement is not consistent or reliable.

Therefore, a negative correlation coefficient is generally considered undesirable when evaluating reliability.

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Answer: 162.56 cm

Step-by-step explanation:

5 feet 4 is 64 inches

2.54 • 64 = 162.56

Chloe is 162.56 cm tall

Answer:

162.56

Step-by-step explanation:

multiply 2.54 by 64

The random variable X, representing the average student grade on the first test, does not follow a binomial distribution.

A binomial distribution is characterized by a fixed number of independent trials, each with two possible outcomes (success or failure), and a constant probability of success for each trial. In this case, six students are randomly chosen from a Statistics class of 300 students. The average student grade on the first test is not a result of a fixed number of trials with two possible outcomes. It is a continuous variable representing the average grade, rather than a count of successes or failures. Therefore, the random variable X does not follow a binomial distribution.

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The expressions that will give you a difference of 5 are: -3 - (-8) and 1 - (-4).

The difference of two expressions is determined by subtracting one from the other.

Find the difference of each of the expressions given to determine which will give us 5.

-3 - (-8)

= -3 + 8

= 5

-2 - 3 = -5 [this is not the same as 5]

1 - (-4)

= 1 + 4

= 5

7 - (-2)

= 7 + 2

= 9

-3 - (-8) and 1 - (-4) will give us a difference of 5.

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The equation representing visual models is z+1/5=3/5.

Since it is given in the question that the hanger image represents a balanced equation therefore equating LHS with RHS it can be written as follows.

LHS = 1/5 + z

RHS = 3/5+ z

Equating both the equations it can be written as

LHS = RHS

1/5+z=3/5

or z=3/5-1/5

Therefore, z=2/5

Hence, for z=2/5 the hanger will represent a balanced equation.

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Answer:

See Explanation

Step-by-step explanation:

\( \frac{ \sin5A}{\sin A} - \frac{ \cos5A}{\cos A} = 4\cos2A \\ \\ LHS = \frac{ \sin5A}{\sin A} - \frac{ \cos5A}{\cos A} \\ \\ = \frac{ \sin5A \:\cos A - \cos5A \: \sin A}{\sin A \:\cos A } \\ \\ = \frac{ \sin(5A -A )}{\sin A \:\cos A} \\ \\ = \frac{ \sin 4A}{\sin A \:\cos A} \\ \\ = \frac{ 2\sin 2A \: \cos 2A}{\sin A \:\cos A} \\ \\ = \frac{ 2 \times 2\sin A \: \cos A \: \cos 2A}{\sin A \:\cos A} \\ \\ = \frac{ 4\sin A \: \cos A \: \cos 2A}{\sin A \:\cos A} \\ \\ =4\cos 2A \\ \\ = RHS \\ \\ thus \\ \\ \frac{ \sin5A}{\sin A} - \frac{ \cos5A}{\cos A} = 4\cos2A \\ \\ hence \: proved\)

Answer:

your answer is (B) 5x-0.4

Step-by-step explanation:

The equivalent expression for the given function is -

y = 5x + 40.

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is the expression -

5(x + 8)

We can write the equivalent expression for the given function is -

y = 5(x + 8)

y = 5x + 40

Therefore, the equivalent expression for the given function is -

y = 5x + 40.

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Answer:

The probability that the first card is a Heart and the second card is a Spade is 0.064.

Step-by-step explanation:

A standard deck of 52 cards is shuffled and two cards are drawn without replacement.

The denominations of the cards are as follows:

Spades (S) = 13

Hearts (H) = 13

Diamonds (D) = 13

Clubs (C) = 13

Compute the probability of selecting a Heart first as follows:

\(P(H)=\frac{13}{52}=0.25\)

Compute the probability of selecting a Spade second as follows:

\(P(S)=\frac{13}{51}=0.255\)

Since the two cards are selected without replacement the second draw is independent of the other.

Then the probability that the first card is a Heart and the second card is a Spade is:

\(P(1st\ H\cap 2nd\ S)=P(H)\times P(S)\)

                            \(=0.25\times 0.255\\=0.06375\\\approx 0.064\)

Thus, the probability that the first card is a Heart and the second card is a Spade is 0.064.

Answer: 25 in.

Step-by-step explanation:

A = bh

A = 5 x 5

A = 25

To translate a triangle with coordinates, you need to add the same value to each of the x and y coordinates of each vertex of the triangle. This will shift the triangle in the desired direction.

To translate a triangle with coordinates, you need to add the same value to each of the x and y coordinates of each vertex of the triangle. For example, if you wanted to translate the triangle with coordinates (1,2), (3,4), and (5,6) by two units to the right and two units up, you would add two to each x-coordinate and two to each y-coordinate. The new triangle would have coordinates (3,4), (5,6), and (7, 8).

1. Identify the coordinates for the triangle: (1,2), (3,4), and (5,6).

2. Decide how much you want to translate the triangle: two units to the right and two units up.

3. Add two to each x-coordinate and two to each y-coordinate: (3,4), (5,6), and (7,8).

4. The triangle is now translated two units to the right and two units up.

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W'(-2 , 6),  X'(-2 , 2), Y'(-6 , 2), Z'(-6 , 5).

This is the vertices after  the 270° counterclockwise rotation.

Given vertices,

W(-6,-2), X(-2,-2), Y(-2,-6), and Z(-5, -6).

Here we have to rotate 270°.

We know that,

Rotating a point 90° counterclockwise: (x, y) → (-y, x).

Rotating  a point 180° counterclockwise: (x, y) → (-x, -y).

Rotating a point 270° counterclockwise: (x, y) → (y, -x).

So here we are rotating the figure 270°,

W(-6,-2)→ W'(-2 , 6)

X(-2,-2)→ X'(-2 , 2)

Y(-2,-6)→ Y'(-6 , 2)

Z(-5, -6)→ Z'(-6 , 5)

The vertices after rotating 270° counterclockwise about origin is:

W'(-2 , 6),  X'(-2 , 2), Y'(-6 , 2), Z'(-6 , 5).

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The given function is f: x → 3x + 2. a, b, and c by substituting them into the given function, f: x → 3x + 2. The values are as follows: a = 2, b = 8, and c = -1.

We are to determine the value of a, b, and c by substituting them in the given function.

f(0): We will substitute 0 in the function f: x → 3x + 2 to find f(0).

\(f(0) = 3(0) + 2 = 0 + 2 = 2\)

Therefore, a = 2.

f(2): We will substitute 2 in the function f: x → 3x + 2 to find f(2).

\(f(2) = 3(2) + 2 = 6 + 2 = 8\)

Therefore, b = 8.

f(-1): We will substitute -1 in the function f: x → 3x + 2 to find f(-1).

\(f(-1) = 3(-1) + 2 = -3 + 2 = -1\)

Therefore, c = -1.

Hence, the value of a, b, and c is given as follows:

\(a = f(0) = 2\)

\(b = f(2) = 8\)

\(c = f(-1) = -1\)

In conclusion, we have determined the values of a, b, and c by substituting them into the given function, f: x → 3x + 2. The values are as follows: a = 2, b = 8, and c = -1.

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The four basic properties of exponents are the negative exponent property, the product of powers property, the quotient of powers property, and the power of a power property.

The properties of exponents are a set of rules that allow us to simplify terms that contain exponents.

Negative exponent property states that when a negative exponent is present, the base and the exponent are switched and the sign of the exponent is changed. For example,  x-2 = 1/x2.

The product of powers property states that when two terms with the same base are multiplied, the exponents are added together. For example, x3 x4 = x7.

The quotient of powers property states that when two terms with the same base are divided, the exponents are subtracted. For example, x6/x2 = x4.

The power of a power property states that when a term with an exponent is raised to another power, the exponents are multiplied. For example, (x3)2 = x6.

These properties can be used to simplify expressions that contain exponents. For example, the expression (−2m−2????4) 3 can be simplified using the power of a power property by multiplying the exponents. The expression simplifies to −2m−6????12.

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20

Step-by-step explanation:

please mark me as branliest and follow me

The required negative function h(x) with a y-intercept at "-4" with one solution is x + 4

The y-intercept of an equation is the pint where the x-value of the function is 0, that is;

f(-4) = 0

Since the solution has one solution, hence it will be linear in nature

h(x) = x + 4

This gives the required negative function h(x) with a y-intercept at "-4" with one solution

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Answer:

4957.56

Step-by-step explanation:

Call the 3 sides of the triangle as a,b,c.

We have : a + b + c = 321
Since it's an equilateral triangle, a=b=c
=> a = b = c = 321/3 = 107ft.

To calculate an area of an equilateral triangle, we can use the formula :

\(\sqrt{3}\\\)/4 x \(a^{2}\)

=> A = \(\sqrt{3}\\\)/4 x \(107^{2}\) = approx. 4957.56



The solution to the inequality ( m > 20 ) is {21, 22, 23, 24}

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

m > 20

And , The set of numbers that represents solutions of the inequality m > 20 is {21, 22, 23, 24}

In this set, all the numbers are greater than 20, satisfying the condition of the inequality. The other sets {16, 17, 18, 19}, {17, 18, 19, 20}, and {20, 21, 22, 23} have numbers that are either equal to or less than 20, which does not fulfill the condition m > 20

Hence , the inequality is solved

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Answer:

Step 2 has the error because they added the five to -3 and got -8 when they should have gotten 2.

Step-by-step explanation:

The domain of the piecewise function is   (-∞, -2) U (-2, 1) U (1, ∞), option C is correct.

In the first part of the function, (x²+2x)/(x²+x-2), the denominator cannot be zero, so we need to exclude any values of x that would make the denominator equal to zero.

This occurs when x = -2 and x = 1, so we exclude those values from the domain.

In the second part of the function, log₂(x+2), the logarithm is defined only for positive values, so we exclude any values of x that would result in a negative or zero value inside the logarithm.

In this case, x cannot be less than -2, so we exclude that range as well.

Hence,  (-∞, -2) U (-2, 1) U (1, ∞) is the domain of the piecewise function

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Answer:

x=3 or (3,0) y=0

Step-by-step explanation:

The y-intercept is the point where x=0, so we see it is 'b', which equals -9, or the point (0,-9) The x-intercept is the point where y=0, so we see it is x=3, or the point (3,0).

Answer:

The line will not pass through the first quadrant.

Step-by-step explanation:

Since the y-intercept is negative, and the slope is negative, the line will start in the second quadrant, pass through the third quadrant to intercept the y-axis, then pass through the fourth quadrant. It will never touch the first quadrant.

The logarithmic form is written as logₐ(X)=b. It is a rearrangement of the exponential form, aᵇ=X.

What is Logarithmic Form?

The logarithmic form is written as logₐ(X)=b. It is generally the rearrangement of the exponential form, aᵇ=X. Any exponential equation can be written as a logarithm. The logarithmic form is mostly used to calculate an exponent of an equation. The logₐ(X)=b. is read as “log base a of X equals b“.

The logarithmic form is simply a rearrangement of an equation written in exponential form. The same numbers are used but they are written in a different order. The word log is written which implies that the logarithm function is being used.

Therefore, If the logarithmic form is logₐ(X)=b. then it is a rearranged as the exponential form as aᵇ=X.

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Answer:

1.false

2.true

3.true

i am sure. these are the correct answeres

Answer:

x = 28

Step-by-step explanation:

4x-16 = 2(x+20)

4x-16 = 2x+40

Divide 2x from each side:

2x-16 = 40

Add 16 to each side:

2x = 56

Divide each side by 2:

x = 28

Answer:

2 units right

Step-by-step explanation:

Answer:

It would have been translated down 2.

Step-by-step explanation:

If only the y-intercept changed. The intercept was only decreased by 2. The y axis goes up and down, so down two.

Answer:

8.0 + 0.5 + 0.04 + 0.002

Step-by-step explanation:

hope this helps you :)

Answer: 8 + 0.5 + 0.04 + 0.002 = 8.542

To expand an number or decimal, add up the values.

In this problem, we're expanding a decimal. To expand a decimal, break the decimal up and add it by its values.

These are the values of the number.

8 is in the ones place.

0.5 is in the tenths place.

0.04 is in the hundredths place.

0.002 is in the thousandths place.

So, with that being said, we'll add up these values.

8 + 0.5 + 0.04 + 0.002 = 8.542!

Hence, 8 + 0.5 + 0.04 + 0.002 is the expanded form of 8.542.

Please comment down if you have any questions about my answer.

Answer:

Median: 89

Mean: 87.5

Step-by-step explanation:

86, 90, 93, 85, 79, 92

93, 85

93 + 85

178

178/2

89

86 + 90 + 93 + 85 + 79 + 92

525

525/6

87.5