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julia-pushkina [17]
3 years ago
6

Please help me ASAP I will give brainliest

Mathematics
2 answers:
stellarik [79]3 years ago
3 0

Answer:

-23

Step-by-step explanation:

rearrange to point slope form first

slope can be fine by y2-y1/x2-x1 (im using the first 2 points)

so 13-25 = -12 and -54-(-72) = 18, and the slope is -12/18 which is -2/3

then you can use any point (i used the first point) to create the point slope form which is y-ypoint=slope(x-xpoint) and equation would be y-25=-2/3(x+72)

turn it into slope intercept form by multiplying -2/3 within the equation and adding -25 on both sides

you will get y= -2/3x-23

and the y intercept will be (0, -23)

Travka [436]3 years ago
3 0
(o,-23)
This is because the slope is -2/3 and if you graph this it’ll show that the line crosses the y intercept at -23
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In a certain community, 36 percent of the families own a dog and 22 percent of the families that own a dog also own a cat. In ad
zysi [14]

Answer:  a) 0.0792   b) 0.264

Step-by-step explanation:

Let Event D = Families own a dog .

Event C = families own a cat .

Given : Probability that families own a dog : P(D)=0.36

Probability that families own a dog also own a cat : P(C|D)=0.22

Probability that families own a cat : P(C)= 0.30

a) Formula to find conditional probability :

P(B|A)=\dfrac{P(A\cap B)}{P(A)}\\\\\Rightarrow P(A\cap B)=P(B|A)\times P(A)   (1)

Similarly ,

P(C\cap D)=P(C|D)\times P(D)\\\\=0.22\times0.36=0.0792

Hence, the probability that a randomly selected family owns both a dog and a cat : 0.0792

b) Again, using (2)

P(D|C)=\dfrac{P(C\cap D)}{P(C)}\\\\=\dfrac{0.0792}{0.30}=0.264

Hence, the conditional probability that a randomly selected family owns a dog given that it owns a cat = 0.264

5 0
3 years ago
Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, co
ivolga24 [154]

Answer:

Quantitative

Discrete

Ratio

Step-by-step explanation:

The number of days traveled by randomly selected employees is a quantitative variable because it can be presented meaningful numerical form and further the number of days traveled by randomly selected employees are discrete because the number of days can be counted. Now, the level of measurement for the variable "number of days traveled by employees" is  ratio scale because it has a meaningful zero. Meaningful zero in this case will means that none of the day is spent on travelling.

3 0
3 years ago
A number is divisible by 3 if the sum of the digits of the number is divisible by 3.
rosijanka [135]
I believe the answer the the question A number is divisible by 3 if the sum of the digits of the number is divisible by 3. Is 504, it makes sense
8 0
3 years ago
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.​
Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = 21m^3

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

The formula goes thus

V = \pi r^2h

Substitute 21 for V; this gives

21 = \pi r^2h

Divide both sides by h

\frac{21}{h} = \frac{\pi r^2h}{h}

\frac{21}{h} = \pi r^2

The next step is to solve for the volume of the sphere using the following formula;

V = \frac{4}{3}\pi r^3

Divide both sides by r

\frac{V}{r} = \frac{4}{3r}\pi r^3

Expand Expression

\frac{V}{r} = \frac{4}{3}\pi r^2

Substitute \frac{21}{h} = \pi r^2

\frac{V}{r} = \frac{4}{3} * \frac{21}{h}

\frac{V}{r} = \frac{84}{3h}

\frac{V}{r} = \frac{28}{h}

Multiply both sided by r

r * \frac{V}{r} = \frac{28}{h} * r

V = \frac{28r}{h} ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

h = D , where D represents diameter of the sphere

Recall that D = 2r

So, h = D = 2r

h = 2r

Substitute 2r for h in equation 1

V = \frac{28r}{2r}

V = \frac{28}{2}

V = 14

Hence, the volume of the sphere is 14m³

4 0
3 years ago
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Image point B'(4, -8) was transformed using the translation (x-2, y + 3). What were the coordinates of B?
DaniilM [7]

Answer:

B(6 , -11)

Step-by-step explanation:

(x-2 , y+3)  = (4 , -8)

Compare the x & y co ordinates

x - 2 = 4   ; y + 3 = -8

x = 4 +2  ; y = -8 - 3

x = 6      ; y = -11

B(6 , -11)

8 0
3 years ago
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