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lana [24]
2 years ago
15

Use the drawing tool(s) to form the correct answers on the provided graph.

Mathematics
2 answers:
Veronika [31]2 years ago
6 0

Answer:

(See attachment below)

Step-by-step explanation:

The following information is derived from the graphic:

X-Intercepts: (-3,0), (1,0)

Y-Intercepts: (0,-3)

Vertex: (-1,-4)

Axis of symmetry of the function: x = -1

anastassius [24]2 years ago
4 0

Answer:

See below in bold.

Step-by-step explanation:

This is the vertex form of a parabola which opens upwards.

To find the x intercept put h(x) = 0:

(x + 1)^2 - 4 = 0

(x + 1)^2 = 4

x + 1 = +/- 2

x = (-3, 0) an (1, 0) are the x-intercepts.

For the y-intercept we put x = 0

y = (0+1)^2 - 4 = -3

y-intercept =  (0, -3).

The vertex  is (-1, -4).

Axis of symmetry is x = -1.

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2 years ago
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4. The data shows the number of siblings each student in a 9th-grade class has.
antiseptic1488 [7]

Answer:

The correct option is Mean and standard deviation.

Step-by-step explanation:

The data set provided, arranged in ascending order is:

S = {0 , 0 , 0 , 1 , 1 , 1 , 1 , 1 , 1 , 2 , 2 , 2 , 2 , 2 , 2 , 2 , 3 , 3 , 3 , 4 , 4}

Now, it is provided that Macy was absent when the data was collected and the class guessed she had 4 siblings. When  she returned, they found out she actually has 9 siblings.

So, the new data set is:

X = {0 , 0 , 0 , 1 , 1 , 1 , 1 , 1 , 1 , 2 , 2 , 2 , 2 , 2 , 2 , 2 , 3 , 3 , 3 , 4 , 9}

The mean of a data set is the average value representing the entire data.

\bar X=\frac{1}{n}\sum X_{i}

The median is the middle value of the data set.

The inter-quartile range is the difference between the first and the third quartile.

The standard deviation is the value that represents how dispersed the data values are.

SD=\sqrt{\frac{1}{n}\sum (X_{i}-\bar X)^{2}}

From all the above statistic, the mean and standard deviation are the only ones that uses all the observations in the data set to compute their value.

So, on changing one of the 4s by a 9, the set of measures that will be affected are the mean and standard deviation.

Thus, the correct option is Mean and standard deviation.

3 0
2 years ago
Uche pumps gasoline at a rate of 18\,\dfrac{\text{L}}{\text{min}}18 min L ​ 18, start fraction, start text, L, end text, divided
Fiesta28 [93]

Answer:

Uche's pumping rate is <u>300 mL/s</u>.

Step-by-step explanation:

Given:

Uche pumps gasoline at a rate of 18 L/min.

Now, to find Uche's pumping rate in mL/s.

The rate at which Uche pumps gasoline = 18 L/min.

So, to get the pumping rate in mL/s we use convert L/min to mL/s by using conversion factor:

<u>1 L/min = 16.6667 mL/s.</u>

18 L/min = 16.6667 × 18 mL/s.

18L/min = 300 mL/s.

Therefore, Uche's pumping rate is 300 mL/s.

8 0
1 year ago
The paired data below consist of the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millim
rjkz [21]

Answer:

Step-by-step explanation:

Given is a paired data which consist of temperatures (X in mm) and growth

We have to find the linear correlation i.e. the measure of association between these two variables.

x y xy x^2 y^2

     

62 36 2232 3844 1296

76 39 2964 5776 1521

50 50 2500 2500 2500

51 13 663 2601 169

71 33 2343 5041 1089

46 33 1518 2116 1089

51 17 867 2601 289

44 6 264 1936 36

79 16 1264 6241 256

     

Mean 58.88888889 27 1623.888889 3628.444444 916.1111111

cov 33.88888889    

std dev x 13.43916333 14.50861813    

sx *sy      

r 0.195529176    

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7 0
2 years ago
1) The probability of drawing a pink chip from a bowl of different-colored chips is 0.35, theprobability of drawing a blue chip
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Answer:

1) 0.5 or 50%.

2) Order does not matter: 3,003 combinations.

   Order matters: 360,360 permutations.

Step-by-step explanation:

1) The probability of drawing either a purple or a blue chip is the sum of both individual probabilities:

P(B\ or\ P) = P(B) +P(P) = 0.46+0.04\\P(B\ or\ P) = 0.50

the probability that a blue or a purple chip will be drawn is 0.5 or 50%.

2)

a) Choose 5 items from a  total of 15 items when order does not matter:

C(15,5) = \frac{15!}{(15-5)!5!}=\frac{15*14*13*12*11}{5*4*3*2*1}\\C(15,5) = 3,003

b) Choose 5 items from a  total of 15 items when order matters:

P(15,5) = \frac{15!}{(15-5)!}=15*14*13*12*11}\\P(15,5) = 360,360

7 0
2 years ago
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