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3 years ago

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From a deck of cards (52 cards, no jokers) Henry pulled a card from the deck and got an 8. What was the probability of that even

t?

2 answers:

azamat3 years ago

6 0

1 of 13 is what i put and got it right

vodka [1.7K]3 years ago

3 0

There are 4 eights in a deck of cards so it would be 4 out of 52 or 4/52 = 1 out of 13

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The equation of the line that contains the points (1, 7) and (2, 6) is x+y=8

rusak2 [61]

Answer:x+y=8

Step-by-step explanation:the line has an x intercept that is in between the points

4 0

2 years ago

PLZ HELP I WILL MARK BRAINLYST

Gre4nikov [31]

$c - 7 \geqslant - 3 \\ c \geqslant - 3 + 7 \\ c \geqslant 4$

8 0

2 years ago

Find an equation of a line that is tangent to the graph of f and parallel to the given line. Please see picture

ivanzaharov [21]

Answer:

y = 3x - 2 (smaller y-intercept)

y = 3x + 2 (larger y-intercept)

Step-by-step explanation:

First let's write the generic equation of a line:

y = ax + b

This line needs to be parallel to the line 3x - y + 5 = 0, so it needs to have the same slope of this line.

The line 3x - y + 5 = 0 has a slope of 3, so our line has a = 3:

y = 3x + b

Now we need to find the values of b that make this line tangent to the function f(x) = x^3

Let's first find the derivative of f(x) in relation to x:

df(x)/dx = 3x^2

This derivative is the slope of the tangent line to the function for any value of x. We need a slope of 3, so:

3x^2 = 3

x^2 = 1

x = ±1

Now, to find the y-values, we have:

f(1) = 1^3 = 1

f(-1) = (-1)^3 = -1

So, using the points (1,1) and (-1,-1) in our parallel line, we have:

first line using (1,1) : 1 = 3*1 + b

b = -2

second line using (-1,-1) : -1 = -3*1 + b

b = 2

The value of b is the y-intercept of the line, so the line with smaller y-intercept is y = 3x - 2, and the line with larger y-intercept is y = 3x + 2

8 0

2 years ago

Identify whether each phrase is an expression, equation, or inequality.<br> Term Phrase

Llana [10]

The first Phrase

$0=p-\frac{7}{3}$ , is a equation.

The second phrase

4q>s+ $6^{4}$ , is an inequality.

The third phrase

4a-5 is an expression

<h3>What is Equation, Expression and Inequality?</h3>

An equation is a mathematical expression that contains an equals symbol.

An expression is a combination of numbers, variables, functions

An inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

The first Phrase

$0=p-\frac{7}{3}$ , is a equation.

A equation contain operand, operators(+,-,*,/) and an equal sign.

The second phrase

4q>s+ $6^{4}$ , is an inequality.

An inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

The third phrase

4a-5 is an expression

An expression is a combination of numbers, variables, functions

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2 years ago

Suppose John is a high school statistics teacher who believes that scoring higher on homework assignments leads to higher test s

EleoNora [17]

Answer:

A. R2 = 0.6724, meaning 67.24% of the total variation in test scores can be explained by the least‑squares regression line.

Step-by-step explanation:

John is predicting test scores of students on the basis of their home work averages and he get the following regression equation

y=0.2 x +82.

Here, dependent variable y is the test scores and independent variable x is home averages because test scores are predicted on the basis of home work averages.

The coefficient of determination R² indicates the explained variability of dependent variable due to its linear relationship with independent variable.

We are given that correlation coefficient r= 0.82.

coefficient of determination R²=0.82²=0.6724 or 67.24%.

Thus, we can say that 67.24% of total variability in test scores is explained by its linear relationship with homework averages.

Also, we can say that, R2 = 0.6724, meaning 67.24% of the total variation in test scores can be explained by the least‑squares regression line.

3 0

3 years ago