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3 years ago

Slope of (1,2), (3,5), (5,8), and (7,11)

Mathematics

1 answer:

trasher [3.6K]3 years ago

5 0

Answer: y= 3/2x+1/2

Step-by-step explanation:

y=mx+b

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Over the last three evenings, Mary received a total of 116 phone calls at the call center. The third evening, she received 3 tim

Tanya [424]

<h2>Answer:</h2>

First day - 25 calls

Second day - 16 calls

Third day - 75 calls

<h2>Step-by-step explanation:</h2>

You need to set variables and create system of equations first.

First evening= x

Second evening= y

Third evening = z

x+y+z=116

z=3x

y=x-9

Now you plug in the values into the equation x+y+z=116

x+(x-9)+(3x)=116

5x-9=116

5x=125

x=25

You plug in the value of x into the other equations.

x= 25

z= 3*(25)=75

y=(25-9)=16

Rearrange so it corresponds with days...

First day - 25 calls

Second day - 16 calls

Third day - 75 calls

5 0

3 years ago

Read 2 more answers

If a and b are the measures of two first quadrant angles and sin a = 4/9 and sin b = 2/5 find sin(a+b).

frutty [35]

Answer:

$sin(a+b)=\frac{4\sqrt{21}+2\sqrt{65}}{45}$

Step-by-step explanation:

we are given

$sin(a)=\frac{4}{9}$

$sin(b)=\frac{2}{5}$

Firstly, we will draw triangle

we get

$cos(a)=\frac{\sqrt{65} }{9}$

$cos(b)=\frac{\sqrt{21} }{5}$

now, we can sue formula

$sin(a+b)=sin(a)cos(b)+cos(a)sin(b)$

now, we can plug values

$sin(a+b)=\frac{4}{9}\times \frac{\sqrt{21} }{5}+\frac{\sqrt{65} }{9}\times \frac{2}{5}$

now, we can simplify it

$sin(a+b)=\frac{4\sqrt{21}+2\sqrt{65}}{45}$

6 0

3 years ago

Substitution Method<br> x-y=9 <br> x+y=7

marshall27 [118]

Answer:

Step-by-step explanation:

Substitution method can be applied in four steps.

Solve one of the equations for either x = or y = .

Substitute the solution from step 1 into the other equation.

Solve this new equation.

Solve for the second variable. ...

Step 1: Solve one of the equations for either x = or y =

5 0

4 years ago

Read 2 more answers

Stephen Curry's Free Throws As we see in Exercise P.37, during the 2015-16 NBA season, Stephen Curry of the Golden State Warrior

Reil [10]

Answer:

A) $P(X=x) = \binom{2}{x}.(0.908)^x.(0.092)^{2-x}$

B) Mean = 1.816

Step-by-step explanation:

We are given the following information:

We treat Stephen Curry making any given free throw as a success.

P(Stephen Curry makes any given free throw) = 0.908

Since the probability for the free throw is equal for each trial and free throws are independent.

Then the number of free shots follows a binomial distribution.

A) Probability distribution

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Here n = 2, p = 0.908

$P(X=x) = \binom{2}{x}.(0.908)^x.(1-0.908)^{2-x}\\\\P(X=x) = \binom{2}{x}.(0.908)^x.(0.092)^{2-x}$

Now x can take values 0, 1 , 2

Putting values, we get,

$P(x = 0) = 0.008464\\P(x = 1) = 0.167072\\P(x = 2) = 0.82446$

B) Mean of X

$\mu = np = 2(0.908) =1.816$

Thus, the mean number of free shots made by Stephen Curry is 1.816

4 0

3 years ago

Add.<br><br> −125+(−35)+(−34)

Reptile [31]

Answer:

194

Step-by-step explanation:

6 0

3 years ago