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kozerog [31]
2 years ago
8

THIS IS ALGEBRA 2 CAN ANYONE SOLVE IT FOR ME?

Mathematics
1 answer:
Katen [24]2 years ago
7 0

Answer:

(a)  128 ft

(b)  4 s

(c)  Vertex:  (1, 144)

Step-by-step explanation:

Given information:

  • h(t) = height in feet
  • t = time in seconds after the launch

<h3><u>Part (a)</u></h3>

The height of the projectile at launch is the value of h(t) when t = 0 (the y-intercept).

Therefore, from inspection of the graph, the y-intercept is (0, 128).

So the <u>height of the projectile at launch is 128 ft</u>.

<h3><u>Part (b)</u></h3>

The length of time it took for the projectile to land is the time from the beginning (when t = 0) to when the height is 0 (the x-intercept).  

From inspection of the graph, the x-intercept is (4, 0)

So the <u>length of time it took for the projectile to land is 4 s</u>.

<h3><u>Part (c)</u></h3>

The vertex is the turning point (minimum/maximum point).

Therefore, from inspection of the graph, the <u>vertex is (1, 144)</u>.

The vertex represents the time and height at which the projectile was at its maximum.  So at the time of 1 second, the projectile was at its maximum height of 144 ft.

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What is the slope of the line that contains these points?
seraphim [82]

Answer:

8.

Step-by-step explanation:

The slope =

difference in y coordinates of 2 points / difference in coordinates of corresponding x coordinates.

So taking the first 2 points:

The slope =  (18-10) / 0 - (-1)

= 8/1

= 8.

This is confirmed by slope between the second and third points

slope = 26-18/ (1-0) = 8.

8 0
3 years ago
This year the CDC reported that 30% of adults received their flu shot. Of those adults who received their flu shot,
Vlad [161]

Using conditional probability, it is found that there is a 0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.

Conditional Probability

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

  • P(B|A) is the probability of event B happening, given that A happened.
  • P(A \cap B) is the probability of both A and B happening.
  • P(A) is the probability of A happening.

In this problem:

  • Event A: Person has the flu.
  • Event B: Person got the flu shot.

The percentages associated with getting the flu are:

  • 20% of 30%(got the shot).
  • 65% of 70%(did not get the shot).

Hence:

P(A) = 0.2(0.3) + 0.65(0.7) = 0.515

The probability of both having the flu and getting the shot is:

P(A \cap B) = 0.2(0.3) = 0.06

Hence, the conditional probability is:

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.515} = 0.1165

0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.

To learn more about conditional probability, you can take a look at brainly.com/question/14398287

7 0
2 years ago
An exterior angle of an isosceles triangle has measure 130°. Find two possible sets of measures for the angles of the triangle.
frozen [14]
(1) it can be both exterior of vertex or base. 180-130=50°
vertex is 50°:     base=(180-50)/2=65°
base is 50°:       vertex= 180-2*50=80°

vertex 50 base 65; vertex 80, base 50

(2)base=180-130=50°
vertex=180-2*50=80°

base 50 vertex 80
5 0
3 years ago
Whoever answers this will get 50 point! How do I find the MEAN, give the process, of the data set? City A: {3, 4, 6, 4, 3, 1, 4}
Flauer [41]

Answer:

Mean of City A is 3.6. Mean of City B is 4.6.

Step-by-step explanation:

To find the mean of a data set you add all the numbers in the data set and then divide your answer by how many numbers are in the data set.

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This Venn diagram shows the pizza topping preferences for 9 students. Let event A = The student likes pepperoni. Let event B = T
victus00 [196]

Answer:

P(A\ or\ B)=\frac{7}{9}

Step-by-step explanation:

We need to use the formula to calculate the probability of (A or B) where  

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B=Probability a student likes olive

A and B =Probability a student likes both toppings in a pizza

A or B =Probability a student likes pepperoni or olive (and maybe both), a non-exclusive or

The formula is

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Since 6 students like pepperoni out of 9:

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P(B) = \frac{4}{9}

Since 3 students like both toppings out of 9

P(A\ and\ B) = \frac{3}{9}

Then we have

P(A\ or\ B)=\frac{6}{9}+\frac{4}{9}-\frac{3}{9}

P(A\ or\ B)=\frac{7}{9}

7 0
3 years ago
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