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Kruka [31]
3 years ago
13

Can you please help me -3x-y=6

Mathematics
1 answer:
kari74 [83]3 years ago
3 0

Answer:

(0,-6), (-2,0)

Step-by-step explanation:

-3x-y=6

-y=6+3x

y=-3x-6

when x=0, y=-6

when y=0 x=-2

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True or false:<br> The solution, root, x-intercept, and zero of a problem are the same.
cluponka [151]
This is true . Solution , root , x and zero all are the same thing
3 0
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For the function f (x) = 8 - x2 evaluate f (-2)<br> 4<br> 12<br> -32<br> 0
professor190 [17]
The answer is 12

Explanation: as you replace -2 it will give 4 so when u add 4 to 8 it equals to 12
3 0
3 years ago
The latest poll from ESPN asked fans what their favorite sport was, considering pro, college and highschool levels. Out of 1000
shepuryov [24]

Answer:

Confidence interval is 0.2911

Step-by-step explanation:

Given that 32% of fans sport is basketball as favorite sport. So total number of fans is,

32\%\times 1000

= \dfrac{32}{100}\times 1000

=320

So 320 fans favorite sport is basket ball.

Now find sample proportion ,

\widehat{p}=\dfrac{number\:of\:people\:in\:the\:sample}{total\:number\:of\:people}

Substituting the value,

\widehat{p}=\dfrac{320}{1000}

\widehat{p}=0.320

Formula for confidence interval is,  

CI=\widehat{p}\pm z\sqrt{\dfrac{\widehat{p}\left (1-\widehat{p}\right )}{n}}

To calculate the z value.

Confidence Level=1-\alpha

0.95=1-\alpha

0.05=\alpha

Now divide above value by 2,  

\dfrac{0.05}{2}=\dfrac{\alpha}{2}

0.025=\dfrac{\alpha}{2}

To find the value of z score calculate the area under the curve as follows

A=\dfrac{1+CL}{2}

A=\dfrac{1+0.95}{2}

A=\dfrac{1.95}{2}

A=0.975

On z table, find the value of 0.975. So the row corresponding to 0.975 is 1.9 and column corresponding to 0.975 is 0.06. Adding these two values the z score is 1.96.

or find the value from excel by using command as follows,  

=NORM.S.INV(0.025)= -1.959963985

Now substituting the value,  

CI=0.320\pm 1.96\sqrt{\dfrac{0.320\left (1-0.320\right )}{1000}}

CI=0.320\pm 0.02891

Lower end of the interval is,

CI=0.320- 0.02891

CI=0.2911

Upper end of the interval is,

CI=0.320+ 0.02891

CI=0.3489

Therefore 95% confidence interval is 0.2911

7 0
2 years ago
Which of the following graphs is a polynomial function with x-intercepts of (-3,0)(-1,0), and (2,0)?​
Helen [10]
The intercepts of the third degree polynomial corresponds to the zeros of the equation
y = d*(x-a)*(x-b)(x-c)
Where a, b and c are the roots of the polynomial and d an adjustment coefficient.
y = d*(x+2)*(x)*(x-3)
Lets assume d = 1, and we get
y = (x+2)*(x)*(x-3) = x^3 - x^2 - 6x
We graph the equation in the attached file.

7 0
2 years ago
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(3.24 Socks in a drawer). In your sock drawer you have 4 blue, 5 gray, and 3 black socks. Half asleep one morning you grab 2 soc
irga5000 [103]

Answer:

a) Probability of ending up wearing 2 blue socks is 1/11.

b) Probability of ending up wearing no grey socks is 7/22.

c) Probability of ending up wearing at least 1 black sock is 5/11.

d) Probability of ending up wearing a green sock is 0.

e) Probability of ending up wearing matching socks is 19/66.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

In your sock drawer, you have 4 blue socks, 5 gray socks, and 3 black ones. Half asleep one morning, you grab 2 socks at random and put them on. Find the probability you end up wearing: a) 2 blue socks. b) no gray socks. c) at least 1 black sock. d) a green sock. e) matching socks.

The explanation of the answer is now given as follows:

The following are given in the question:

n(B) = number of Blue socks = 4

n(G) = number of Gray socks = 5

n(K) = number of black socks = 3

Therefore, we have:

n(T) = Total number of socks = n(B) + n(G) + n(K) = 4 + 5 + 3 = 12

To calculate a probability, the following formula for calculating probability is used:

Probability = Number of favorable outcomes / Number of total possible outcomes ……. (1)

Since this is a without replacement probability, we can now proceed as follows:

a) 2 blue socks

P(B) = Probability of ending up wearing 2 blue socks = ?

Probability of first pick = n(B) / n(T) = 4 / 12 = 1 / 3

Since it is without replacement, we have:

Probability of second pick = (n(B) – 1) / (n(T) – 1) = (4 – 1) / (12 – 1) = 3 / 11

P(B) = Probability of first pick * Probability of second pick = (1 / 3) * (3 / 11) = 1 / 11

b) no gray socks.

Number of favorable outcomes = n(B) + n(K) = 4 + 3 = 7

P(No G) = Probability of ending up wearing no gray socks = ?

Probability of first pick = Number of favorable outcomes / n(T) = 7 / 12

Since it is without replacement, we have:

Probability of second pick = (Number of favorable outcomes – 1) / (n(T) – 1) = (7 – 1) / (12 – 1) = 6 / 11

P(No G) = Probability of first pick * Probability of second pick = (7 / 12) * (6 / 11) = 7 / 22

c) at least 1 black sock.

Probability of at least one black sock = 1 - P(No K)

Number of favorable outcomes = n(B) + n(G) = 4 + 5 = 9

Probability of first pick = Number of favorable outcomes / n(T) = 9 / 12 = 3 /4

Since it is without replacement, we have:

Probability of second pick = (Number of favorable outcomes – 1) / (n(T) – 1) = (9 – 1) / (12 – 1) = 8 / 11

P(No K) = Probability of first pick * Probability of second pick = (3 / 4) * (8 / 11) = 24 / 44 = 6 / 11

Probability of at least one black sock = 1 - (6 / 11) = 5 / 11

d) a green sock.

n(Green) = number of Green socks = 0

Since, n(Green) = 0, it therefore implies that the probability of ending up wearing a green sock is 0.

e) matching socks.

This can be calculated using the following 4 steps:

Step 1: Calculation of the probability of matching blue socks

P(matching blue socks) = P(B) = 1 / 11

Step 2: Calculation of the probability of matching gray socks

P(matching green socks) = Probability of matching gray socks = ?

Probability of first pick = n(G) / n(T) = 5 / 12

Since it is without replacement, we have:

Probability of second pick = (n(G) – 1) / (n(T) – 1) = (5 – 1) / (12 – 1) = 4 / 11

P(matching gray socks = Probability of first pick * Probability of second pick = (5 / 12) * (4 / 11) = 20 / 132 = 5 / 33

Step 3: Calculation of the probability of matching black socks

P(matching black socks) = Probability of matching green socks = ?

Probability of first pick = n(K) / n(T) = 3 / 12 = 1 / 4

Since it is without replacement, we have:

Probability of second pick = (n(K) – 1) / (n(T) – 1) = (3 – 1) / (12 – 1) = 2 / 11

P(matching black socks) = Probability of first pick * Probability of second pick = (1 / 4) * (2 / 11) = 2 / 44 = 1 / 22

Step 4: Calculation of the probability of ending up wearing matching socks

P(matching socks) = Probability of ending up wearing matching socks = ?

P(matching socks) = P(matching blue socks) + P(matching grey socks) + P(matching black socks) = 1/11 + 5/33 + 1/22 = (6 + 10 + 3) / 66 = 19/66

6 0
2 years ago
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