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3 years ago

Using the graph, determine the coordinates of the y-intercept of the parabola.

Mathematics

1 answer:

vivado [14]3 years ago

7 0

Answer:

Y-intercept is 7

Step-by-step explanation:

Y-intercept is when the graph crosses the y-axis

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There are 32 students in Mrs. Worrell's Classroom. There 12 boys and 20 girls. She needs to select two students to represent her

liraira [26]

Answer:

15/64 = 23.4 %

Step-by-step explanation:

Let's consider the first two selections. Let's call B the case in which she extracts a boy and G the case in whish she extracts a girl.

For each selection, the probabilty of event B (selecting a boy) is

$P(B)=\frac{12}{32}=\frac{3}{8}$

While the probability of event G (selecting a girl) is

$P(G)=\frac{20}{32}=\frac{5}{8}$

We are asked to find the probability that the first two events are B and then G:

$P(B,G)$

In the first two selections, we have 4 possible combinations:

BB, BG, GB, GG

The probability for each combination is given by:

$P(BB)=P(B)\cdot P(B) = \frac{3}{8}\cdot \frac{3}{8}=\frac{9}{64}=14.1 \%$

$P(BG)=P(B)\cdot P(G) = \frac{3}{8}\cdot \frac{5}{8}=\frac{15}{64}=23.4 \%$

$P(GB)=P(G)\cdot P(B) = \frac{5}{8}\cdot \frac{3}{8}=\frac{15}{64}=23.4 \%$

$P(GG)=P(G)\cdot P(G) = \frac{5}{8}\cdot \frac{5}{8}=\frac{25}{64}=39.1 \%$

The second one is the probability we are searching for, so the probability that she will select a boy first and then a girl is 15/64, or 23.4%.

6 0

4 years ago

You plan to rent a car from XYZ Car Rental Company for a flat rate of $35 a

vagabundo [1.1K]

Answer:

The piece-wise function is;

$f\left (x \right ) = \begin{cases} \$ 45 \times x & \text{ if } x \leq 3 \ days \\ \$40 \times x & \text{ if } x > 3 \ days\end{cases}$

Step-by-step explanation:

The flat rate for renting the car = $35 per day

The amount charged as insurance fee per day for renting the car for 3 days or less = $10

The insurance fee charged per day when the car is rented for more than 3 days = $5

Let the number of days = x

Therefore, we have;

For x ≤ 3, f(x) = 35 × x + 10 × x = x × (35+10) = 45·x

For x > 3, f(x) = 35 × x + 5 × x = x × (35+5) = 40·x

Therefore;

The charge rate for renting the car for less than or equal to 3 days = 45·x

The charge rate for renting the car for more than 3 days = 40·x

The piece-wise function can be presented as follows;

$f\left (x \right ) = \begin{cases} \$ 45 \times x & \text{ if } x \leq 3 \ days \\ \$40 \times x & \text{ if } x > 3 \ days\end{cases}$

3 0

3 years ago

Identify all points and line segments in the picture below. This image has the potential for visual bias, so there is no alterna

rusak2 [61]

Answer:

The answer is D

Step-by-step explanation:

d. Points: A, B, C, D Line segments: bar(AB), bar(AC), bar(BD)

7 0

4 years ago

Best comment gets a Brainly

kipiarov [429]

Answer:

A = Right trangle and b= obtuse triagle

Step-by-step explanation:

You can tell because they are that way they are

6 0

4 years ago

Read 2 more answers

Julie drives 100 mi to Grandmother's house. On the way to Grandmother's, Julie drives half the distance at 33.0 and half the dis

Inga [223]

Average speed is ALWAYS calculated as total distance / total time
total distance is 100mi 
total time is (50mi / 33) + (50mi / 80) 
total time is = 1.52 + 0.625 = 2.145 
so average speed going to grandmothers house is 100mi / 2.145 hrs = 46.62 mph 

on her return trip 
x = V1 x t/2 + V2x t/2 
100 = 33t/2 + 80t/2 
100 = 113t/2 
t = 100x2/113 = 1.7699hrs 
average speed = 100mi/1.7699hrs = 56.60mph

7 0

3 years ago