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djyliett [7]
3 years ago
7

Hey can you please help me posted picture of question

Mathematics
1 answer:
Snezhnost [94]3 years ago
3 0
The equation for a parabola can also be written in the "vertex form":
 y = a (x - h) ^ 2 + k
 In this equation, the vertex of the parabola is the point (h, k).
 We have then:
 y = a (x - (-5)) ^ 2 + -2
 Substituting the given point:
 2 = a (-4 - (-5)) ^ 2 + -2
 Clearing a:
 2 = a-2
 a = 4
 Answer:
 
a = 4
 
option B
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Find the mean of the table below.
taurus [48]
The mean is 12.5

5+10+10+15+15+20= 75
75/6 = 12.5
8 0
3 years ago
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In a certain community, 30% of the families own a dog, and 20% of the families that own a dog also own a cat. It is also known t
Nesterboy [21]

Answer:

a) 0.06

b) 0.778

Step-by-step explanation:

Let's suppose a community of 100 families just to facilitate the calculation.

30% of the families own a dog

Dog = 30% of 100 = 30

20% of the families that own a dog also own a cat = 20% of 30 = 6

27% of all the families own a cat = 27% of 100 = 27

So, 6 families own a dog and a cat.

As 30 families own a dog, [30 - 6 =] 24 families own only dogs

As 27 families own a cat, [27 - 6 = ] 21 families own only cats

See picture attached.

a) What is the probability that a randomly selected family owns both a dog and a cat?

P(dog and cat) = dog ∩ cat/total = 6/100 = 0.06

b) What is the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat?

So, only cat/total cat

P (not dog|cat) = 21/27 = 0.778

3 0
3 years ago
Identify the type of data​ (qualitative/quantitative) and the level of measurement for the data described below. Explain your ch
ella [17]

Answer:

Option A) Quantitative, because numerical values, found by either measuring or counting, are used to describe the data

Option C) Ratio, because the differences in the data can be meaningfully measured, and the data have a true zero point.

Step-by-step explanation:

We are given the following in the question:

"The average monthly rainfall in inches for a certain city throughout the year"

Qualitative or​ quantitative:

  • Quantitative data are measures of values or counts and are expressed as numbers.
  • Qualitative data are measures of 'types' and may be represented by a name, symbol, or a number code. They are non-parametric values.

Thus, the given quantitative data is quantitative because rainfall is always measured and the output is expressed in numerical values.

Option A) Quantitative, because numerical values, found by either measuring or counting, are used to describe the data

Level of measurement:

  • Ordinal: These are the qualitative variable whose order plays an important role.
  • Interval: When true zero does not exist. The negative values of such variables make sense.
  • Ratio: When true zero exist. The negative values of such variable does not make any sense.

Since,for the given data true zero exist and a negative values make no sense, thus its is ratio.

Option C) Ratio, because the differences in the data can be meaningfully measured, and the data have a true zero point.

3 0
3 years ago
(Please help)There are 16 cups in a gallon. The equation g = 1/16c gives the number of gallons in terms of the number of cups. W
mezya [45]

Answer:

c = 16g

Step-by-step explanation:

g = 1/16 c

Multiply both sides by 16.

16g = c

c = 16g

7 0
2 years ago
Read 2 more answers
The​ half-life of radium is 1690 years. If 20 grams are present​ now, how much will be present in 250 ​years?
Aneli [31]

Answer:

  18.05 g

Step-by-step explanation:

The multiplier of the initial quantity is ...

  (1/2)^(t/1690)

so, for t=250, this becomes ...

  (1/2)^(250/1690) ≈ 0.902545

Then the quantity remaining of the initial 20 g is ...

  (20 g)(0.902545) ≈ 18.05 g

3 0
3 years ago
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