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4 years ago

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A bag has 5 red marbles, 6 blue marbles, 3 green marbles, 4 black marbles, and 2 yellow marbles, marbles. What is a reasonable p

rediction for the number of times a green or black marble will be drawn?

1 answer:

vladimir2022 [97]4 years ago

5 0

PROBABILITY (Green or black marble) = 7/20.

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Which statement could be used to explain why f(x)=2x-3 has an inverse relation that is a function

Gwar [14]

The <u>correct answer</u> is:

The function is a one-to-one function.

Explanation:

When an equation is graphed, we use the Vertical Line Test to determine if that equation is a function; if a vertical line hits more than one point anywhere on the graph, the graph is not a function.

This corresponds with the definition of a function: A function is a set of ordered pairs in which each element of the domain (x) is mapped to no more than one element of the range (y). Since every x has no more than one y, there will be no two points hit by the same vertical line.

When we have the graph of a function, to determine if it has an inverse, we use the Horizontal Line Test: if a horizontal line hits more than one point anywhere on the graph, the function does not have an inverse.

This corresponds with the definition of a one-to-one function: A function in which every element of the range (y) is mapped to exactly one element of the domain (x). Since every y has one x, there will be no horizontal line that hits more than one point anywhere on the graph.

7 0

3 years ago

Read 2 more answers

45% of 120 is what answer please

marishachu [46]

Answer:

54

Step-by-step explanation:

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3 years ago

Read 2 more answers

Judy wants to buy juice boxes at the lowest unit rate. Which is the best

Fudgin [204]

C would be the lowest cost at 91 cents per juice box

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3 years ago

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If terrance ran 12mph and jesse ran 8mph how long will it take them to run 50 miles

Sholpan [36]

Answer:

Terrance would take 4.2666 hours, Jesse would take 6.25 hours

Step-by-step explanation:

1h/12m per hour x 50m/1h is also 50m/12m per hour = 4.266 hours (round number)

1h/8m per hour is also 50m/8m per hour = 6.25 hours (round number)

6 0

3 years ago

Ten college students were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 a

solong [7]

Answer:

The 95% confidence interval for the true slope is (0.03985, 0.14206).

Step-by-step explanation:

For the regression equation:

$\hat y=\alpha +\hat \beta x$

The (1 - <em>α</em>)% confidence interval for the regression coefficient or slope $(\hat \beta )$ is:

$Ci=\hat \beta \pm t_{\alpha/2, (n-2)}\times SE(\hat \beta )$

The regression equation for current GPA (Y) of students based on their GPA's when entering the program (X) is:

$\hat Y=3.584756+0.090953 X$

The summary of the regression analysis is:

Predictor Coefficient SE t-stat p-value

Constant 3.584756 0.078183 45.85075 5.66 x 10⁻¹¹

Entering GPA 0.090953 0.022162 4.103932 0.003419

The regression coefficient and standard error are:

$\hat \beta = 0.090953\\SE (\hat \beta)=0.022162$

The critical value of <em>t</em> for 95% confidence level and 8 degrees of freedom is:

$t_{\alpha/2, n-2}=t_{0.05/2, 10-2}=t_{0.025, 8}=2.306$

Compute the 95% confidence interval for $(\hat \beta )$ as follows:

$CI=\hat \beta \pm t_{\alpha/2, (n-2)}\times SE(\hat \beta )\\=0.090953\pm 2.306\times 0.022162\\=0.090953\pm 0.051105572\\=(0.039847428, 0.142058572)\\\approx (0.03985, 0.14206)$

Thus, the 95% confidence interval for the true slope is (0.03985, 0.14206).

6 0

3 years ago