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3 years ago

Using the graph below, select all statements that are true.

Mathematics

1 answer:

vladimir2022 [97]3 years ago

8 0

This is the Greatest Integer Function, denoted by $y = [x]$ . For all real numbers, x, the greatest integer function returns the largest integer less than or equal to x. In essence, it rounds down a real number to the nearest integer.

a. FALSE. Because f(4.9) will round down to 4.
b. TRUE.
c. no it's not the absolute value function. that has V-shape
d. TRUE.
e. FALSE. because for every unique x-value you don't always get a unique y value. .... f(5)=5, f(5.1)=5, f(5.76)=5, etc.

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Which statements are true about the reflections symmetry of a regular heptagon?

lakkis [162]

Answer:

some statements that are true are :

Step-by-step explanation:

it has only 1 line of reflectional symmetry.

a line of symmetry will connect 2 vertices.

a line of symmetry will connect a vertex and a midpoint of an opposite side.

it has 7 fold symmetry.

a line of symmetry will connect the midpoints of 2 opposite sides.

3 0

2 years ago

The table shows the relationship of how many pounds of cherries are needed to make a certain number of pies:

posledela

Answer:

C. A graph is drawn. The horizontal axis and vertical axis values are 0 to 70 in increments of 10. The horizontal axis label is Number of Pies, and the vertical axis label is Pounds of Cherries. Points are plotted on the ordered pairs 30, 20 and 45, 30 and 60, 40.

Step-by-step explanation:

If we take two of the original points from the data and put them in to two point form we get the following equation.

(6,4) and (12,8)

(y-4) = [(8-4)/(12-6)](x-6)

y = 2/3x

You have to start a the origin since we can only have enough ingredients to make pies and we can't start with partial pies. So move to y intercept up by 2.

Put the x values in for answer C and you'll return the y values.

6 0

2 years ago

Solve for x 5(x+1)-(x-18)=1

Rama09 [41]

The answer is x= 3.666 or 3 2/3

8 0

3 years ago

(1 point) An insurance company offers its policyholders a number of different premium payment options. For a randomly selected p

Olegator [25]

Answer:

X | 1 3 5 7

f(X) | 0.4 0.2 0.2 0.2

b) $P(4$

Step-by-step explanation:

For this case we have defined the cumulative distribution function like this:

$F(X) = 0, x$

$F(X) = 0.4, 1 \leq x$

$F(X) = 0.6, 3 \leq x$

$F(X) = 0.8, 5 \leq x$

$F(X) = 1, x \geq 7$

And we know that the general definition for the distribution function is given by:

$F(x) = P(X \leq x) = \sum_{i\leq k} f(i)$

Where f represent the density function.

Part a

For this case we need to find the density function, so we can find the values for the density for each value of X = 1,2,3,4,5,6,7,... since X is a discrete random variable.

$f(1) = P(X=1) = P(X \leq 1) - P(X=0) = F(1) -F(0) = 0.4-0=0.4$

$f(2) = P(X=2) = P(X \leq 2) - P(X=0)- P(X=1) = F(2) -F(1) = 0.4-0.4=0$

$f(3) = P(X=3) = P(X \leq 3) - P(X=0)- P(X=1) -P(X=2) = F(3) -F(2) = 0.6-0.4=0.2$

$f(4) = P(X=4) = P(X \leq 4) - P(X=0)- P(X=1) -P(X=2)-P(X=3) = F(4) -F(3) = 0.6-0.6=0$

$f(5) = P(X=5) = P(X \leq 5) - P(X=0)- P(X=1) -P(X=2)-P(X=3)-P(X=4) = F(5) -F(4) = 0.8-0.6=0.2$

$f(6) = P(X=6) = P(X \leq 6) - P(X=0)- P(X=1) -P(X=2)-P(X=3)-P(X=4)-P(X=5) = F(6) -F(5) = 0.8-0.8=0$

$f(7) = P(X=7) = P(X \leq 7) - P(X=0)- P(X=1) -P(X=2)-P(X=3)-P(X=4)-P(X=5)-P(X=6) = F(7) -F(6) = 1-0.8=0.2$

And for any value higher than 7 we have that:

$x_i \in [8,9,10,...]$

$f(x_i) = F(X_i) -F(X_i -1) = 1-1=0$

So then we have our density function defined like this:

X | 1 3 5 7

f(X) | 0.4 0.2 0.2 0.2

Part b

For this case we want to find this probability $P(4$

And since the random variable is discrete we can write this like that:

$P(4$

5 0

3 years ago

Which dot plot shows three people that sleep for eight hours at night and three people that sleep for six hours at night?

liberstina [14]

Answer:

A dot plot titled How many Hours do you Sleep at Night question mark going from 5 to 9. 5 has 2 dots, 6 has 3 dots, 7 has 4 dots, 8 has 3 dots, and 9 has 1 dot.

Step-by-step explanation:

4 0

3 years ago