What is the solution to the system of equations graphed below?
y=-4x + 33

y=5/3x-1

Answer:

0.0157

Step-by-step explanation:

From the information given:

The sample size  = 70

The expected no. of days of year that are birthday of exactly 4 people is:[tex]P = \bigg [ \dfrac{1}{365} \bigg]^4[/tex]

The expected number of days with 4 birthdays = [tex]\sum \limits ^{365}_{i=1} E(x_i)[/tex]

[tex]\sum \limits ^{365}_{i=1} E(x_i) = 365 \times \bigg[ \ ^{70}C_{4} \times ( \dfrac{1}{365})^4 ( 1 - \dfrac{1}{365})^{70-4} \bigg][/tex]

[tex]\sum \limits ^{365}_{i=1} E(x_i) = 365 \times \bigg[ \ \dfrac{70!}{4!(70-4)!} \times ( \dfrac{1}{365})^4 ( 1 - \dfrac{1}{365})^{66} \bigg][/tex]

[tex]\sum \limits ^{365}_{i=1} E(x_i) = 365 \times \bigg[ \ 916895 \times 5.6342 \times 10^{-11} \times 0.8343768898 \bigg][/tex]

= 0.0157

Therefore, the required probability = 0.0157

vertex at

(

−

1

,

−

4

)

Explanation:

Given:

y

=

2

x

2

+

4

x

−

2

Convert the given form into "vertex form"

y

=

m

(

x

−

a

)

2

+

b

with vertex at

(

a

,

b

)

XXX

y

=

2

(

x

2

+

2

x

)

−

2

complete the square

XXX

y

=

2

(

x

2

+

2

x

+

1

)

−

2

−

2

XXX

y

=

2

(

x

+

1

)

2

−

4

XXX

y

=

2

(

x

−

(

−

1

)

)

2

+

(

−

4

)

which is the vertex form with vertex at

(

−

1

,

−

4

)

graph{2x^2+4x-2 [-5.455, 7.034, -5.54, 0

Answer:

Answer = (-4,1)

Step-by-step explanation:

Step-by-step explanation:

[tex]Expression: \frac{40}{y - 16} [/tex]

[tex]When \: y=20, \: the \: value \: of \: the \: expression \: is \: \frac{40}{4} = 10 [/tex]

Answer:

x = -14, 0

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

(x + 7)² - 49 = 0

Step 2: Solve for x

Step 3: Check

Plug in x values into original equation to verify they are a solution.

x = -14

Here we see that 0 does indeed equal 0.

∴ x = -14 is a solution of the equation

x = 0

Here we see that 0 does indeed equal 0.

∴ x = 0 is also a solution of the equation.

Answer:

Lesser x=-14 Greater x=0

Step-by-step explanation:

x+7)  

2

−49

(x+7)  

2

(x+7)  

2

​  

​  

=0

=49

=  

49

​  

​  

Hint #22 / 3

\begin{aligned} x+7&=\pm7 \\\\ x&=\pm7-7 \\ \phantom{(x + 7)^2 - 49}& \\ x=-14&\text{ or }x=0 \end{aligned}  

x+7

x

(x+7)  

2

−49

x=−14

​  

=±7

=±7−7

or x=0

​  

Answer:

3/4

Step-by-step explanation:

3/4

We can change all fractions to denominator 20 to easily vary them

13/20=13/20

3/5=12/20

3/4=15/20

7/10=14/20

Answer:

[tex]y \geqslant 2[/tex]

Step-by-step explanation:

1. Add 14 to both sides.

[tex]14y \geqslant 28[/tex]

2. Divide both sides by 14.

[tex]y \geqslant 2[/tex]

Answer:

x^2 = 5^2 = 25

Answer:

mine answer/opinion is like this..............

Answer:

here

Step-by-step explanation:

x= - 11 and y =11

Answer:

11:)

Step-by-step explanation:

Answer:

84ft

Step-by-step explanation:

one side of the house is 14 units

since 1unit=6ft

Length of one side of her house= 14(6)=84ft

Answer:

y - 5 = 9 (x-4)

Step-by-step explanation:

Answer:

i dont think so but 1+1=

baby 1 see theirs a daddy 1 and a mommy 1 so that =baby 1

Step-by-step explanation:

Answer:

4.3 *10^3

Step-by-step explanation:

Use  

y

2

−

y

2

x

2

−

x

1

4

−

9

2

−

3

=  

−

5

−

1

=

5

Answer link

Jim G.

Jun 11, 2018

y

=

5

x

−

6

Explanation:

the equation of a line in  

slope-intercept form

is.

∙

x

y

=

m

x

+

b

where m is the slope and b the y-intercept

to calculate m use the  

gradient formula

∙

x

m

=

y

2

−

y

1

x

2

−

x

1

let  

(

x

1

,

y

1

)

=

(

2

,

4

)

and  

(

x

2

,

y

2

)

=

(

3

,

9

)

m

=

9

−

4

3

−

2

=

5

1

=

5

y

=

5

x

+

b

←

is the partial equation

to find b substitute either of the 2 given points

into the partial equation

using  

(

2

,

4

)

then

4

=

10

+

b

⇒

b

=

4

−

10

=

−

6

y

=

5

x

−

6

←

is the equation of lineAnswer:

Step-by-step explanation:

Use  

y

2

−

y

2

x

2

−

x

1

4

−

9

2

−

3

=  

−

5

−

1

=

5

Answer link

Jim G.

Jun 11, 2018

y

=

5

x

−

6

Explanation:

the equation of a line in  

slope-intercept form

is.

∙

x

y

=

m

x

+

b

where m is the slope and b the y-intercept

to calculate m use the  

gradient formula

∙

x

m

=

y

2

−

y

1

x

2

−

x

1

let  

(

x

1

,

y

1

)

=

(

2

,

4

)

and  

(

x

2

,

y

2

)

=

(

3

,

9

)

m

=

9

−

4

3

−

2

=

5

1

=

5

y

=

5

x

+

b

←

is the partial equation

to find b substitute either of the 2 given points

into the partial equation

using  

(

2

,

4

)

then

4

=

10

+

b

⇒

b

=

4

−

10

=

−

6

y

=

5

x

−

6

←

is the equation of line

Answer:

In a felony case, the purpose of a grand jury is to decide if the evidence warrants prosecution. In a felony case, the purpose of a grand jury is to decide if the evidence warrants prosecution

Answer:

decide if the evidence warrants prosecution

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

[tex]\frac{32}{4x2}[/tex]

[tex]\frac{32}{8}[/tex]

[tex]\frac{16}{4}[/tex]

[tex]\frac{4}{1}[/tex]

4

Answer: 45

Step-by-step explanation: the fub

Answer:

C. Y=4/25x

Step-by-step explanation:

If y varies directly as x, tis is expressed as;

y ∝ x

y = kx

k is the constant of proportionality

Goven

y = 16/5 and x = 20

16/5 = 20k

16 = 100k

k = 16/100

k = 4/25

Substitute k = 4/25 into the original equation

y = kx

y = 4/25 x

Hence the required expression is y = 4/25 x

Answer:

96

Step-by-step explanation:

Given that :

Standard deviation (s) = 2km

Error in estimation is within 0.4 km ; Error (E) = 0.4 km

Using the relation :

Sample size = ((Zα/2 * s) /E)^2

Using α = 0.05

The Zcritical at 0.05 = Z0.025 = 1.96

Sample size = ((1.96 * 2) / 0.4)^2

Sample size = (3.92 / 0.4)^2

Sample size = 9.8²

Sample size = 96.04

Required sample size = 96

Answer:

You need more deatils, did you work 24 hours per day or 9 hours. my question is how many hours a day did you work?

Answer:

12.75 Its correct

Step-by-step explanation:

Answer:

12.75

Step-by-step explanation:

Answer:

a i think

Step-by-step explanation:

Answer:

Y = -5 + 5

Step-by-step explanation:

You can check the y intercept and it's a negative 5 slope

Answer:

hehdhrhth

Step-by-step explanation:

thrhrgefwy3ihrgej eff wr3 utf egtje creek it g

Answer: it will be 6 ounces of frozen yogurt and 10 ounces of orange juice.

Step-by-step explanation:

3 parts frozen yogurt

5 parts orange juice For a total of 8 parts divided by 16 ounces = 2 Multiply 3 fy x 2= 6 ounces And multiply 5 oj x 2= 10 ounces

There are 6 ounces of frozen yogurt and 10 ounces of orange juice does he need to get a total of 16 ounces​.

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

We have to given that;

The recipe calls for three part frozen yogurt to five part orange juice.

Here, The ratio of frozen yogurt to orange juice = 3 : 5

Hence, To get a total of 16 ounces​, we can formulate;

⇒ 3x + 5x = 16

⇒ 8x = 16

⇒ x = 2

Hence, The amount of ounces of frozen yogurt = 3x

                                                                         = 3 × 2

                                                                         = 6

And, The amount of ounces of orange juice = 5x

                                                                    = 5 × 2

                                                                    = 10

Thus, There are 6 ounces of frozen yogurt and 10 ounces of orange juice does he need to get a total of 16 ounces​.

Learn more about the ratio visit:

https://brainly.com/question/12024093

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Answer:

Ingrid collected 3 times as many boxes as she did cans

Step-by-step explanation:

Answer:

Step-by-step explanation:

Number of students present in the math class:

Number of students in this class:

Answer:

i think (17)

Step-by-step explanation:

The perimeter of this compound shape (17) when you add up the sides and find the answer to the missing side.