Find the slope on the graph

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

95 households have electricity bills of less than $200. Option C is correct.

Given that,
The monthly electric bills in a certain community are normally distributed, with a mean of $245 and a standard distribution of $55. There are 461 households in the community, how many of them have electric bills less than $200 is to be determined.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

probability for the number of households has electric bills less than $200.
x = 200 , μ = 245 ; σ = 55
Now,
Probability,
z (p < 200) =  [tex]\frac{X -\mu}{\sigma}[/tex]
z (p < 200) =  (200 - 245)/55
                = --45/5
                = -0.818181
p < 200 = 0.206 (from z table)

Now, the number of households that has electricity bill less than $200,
= 461 * 0.206
= 94.966
≈ 95

Thus, 95 number of household have electricity bills of less than $200. Option C is correct.

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Answer:

0.50 or 0.5

Step-by-step explanation:

Answer:

1/2= 0.5  2/4=0.5

The reason for this is because both questions are half a fraction, so both of them would be half a decimal  

Step-by-step explanation:

Answer:

2 feet, 2.3 feet, 2.25 feet, and 16 feet

Answer:

x = 171.16 - 5.8

x = 165.36

please give me brainlist

Step-by-step explanation:

Answer:

165.36 is Pete's height

Step-by-step explanation

You have to subtract 5.8 by 171.16 and that will be Pete's height.

Answer:

7x12x13=1092

Step-by-step explanation:

Answer:

Step-by-step explanation:

It’s c

Answer:

c

Step-by-step explanation:

If xy = 1, then differentiating both sides with respect to x gives

x dy/dx + y = 0

(use the product rule)

Solve for dy/dx :

dy/dx = -y/x

Solve the starting equation for y and substitute that into the derivative.

xy = 1   →   y = 1/x

→   dy/dx = -(1/x)/x = -1/x²

Answer:

0.15÷5.25 should give u the answer

Answer:

I would say B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

cause 63 divided by 21 is 3.

Answer:

21 * 3 = 63

Step-by-step explanation:

Answer:

1.81

2.2^7

3. 4^5

4. 2^9

5. 1

6. 4^5

7. 6

8. 3^8

9. 15^0

10. 2^3

11. 3^2

12. 216

13.  5^3

14. 225

15. 343

16. 11^2

17. 625

18. 5^4

19. 169

20. 10^4

Step-by-step explanation:

9514 1404 393

Answer:

  p = (1, 2)

Step-by-step explanation:

We want ...

  (p -a)/(b -p) = 1/2

  2(p -a) = b -p . . . . . cross multiply

  3p = b +2a . . . .. . . rearrange

  p = (b +2a)/3

  p = ((7, -2) +2(-2, 4))/3 = (7 -4, -2 +8)/3 = (3, 6)/3

  p = (1, 2)

Answer:

The complete table will be:

x        y

1        5

0.8    4

0.4    2

Step-by-step explanation:

Given rule is:

y = 5x

In the given rule, x is multiplied by 5 to get the values of y. The same rule can be manipulated to find the value of x in terms of y.

[tex]\frac{y}{5} = \frac{5x}{5}\\x = \frac{y}{5}[/tex]

Putting y = 5

[tex]x = \frac{y}{5}\\x = \frac{5}{5}\\x = 1[/tex]

Putting y = 4

[tex]x = \frac{y}{5}\\x = \frac{4}{5}\\x = 0.8[/tex]

Putting y = 2

[tex]x = \frac{2}{5}\\x = 0.4[/tex]

Hence,

The complete table will be:

x        y

1        5

0.8    4

0.4    2

Answer:

(2,-1)

Step-by-step explanation:

hope i helped <3

Answer:

(2,-1)

Step-by-step explanation:

That is the answer becasue the x-axis is 2 and the y-axis is -1

Answer:

$8.64

Step-by-step explanation:

Divide 3.24 by three to get the codt of one bottle,$1.08. multiply $1.08 by 8 and we get $8.64.

Answer:

We accept Hₐ   there is enough evidence to claim that the incidence of ASD is bigger in this state than it is nationally

Step-by-step explanation:

The population follows a binomial distribution, and the fact that

p₀ = 1205/32600 = 0,03696       and then q₀  = 1-0,03696 = 0,9630

And both

p₀*n = 0,03696*32600 = 1205 > 10

q₀*n = 31395 > 10

The binomial distribution can be approximate to a Normal Distribution, then we need to develop a one tail test ( to the right) to evaluate if the claim " There is sufficient data to show that the incident rate is higher in the mentioned state than the national one.

Therefore:

Hypothesis Test                    H₀    ⇒    p₀ = p

Alternative Hypothesis        Hₐ   ⇒     p₀ > p

p is the population proportion mean

p = 1/88  =  0,011

We must test having a very wide Confidence Interval since the matter we are trying is public health then we choose CI = 95 %

CI = 95 %     α = 5 %    α = 0,05    

Critical value for 0,05  is from z-table  z(c) = 1,64

We compute z(s)

z(s) =( p₀ - p )/ √ p₀*q₀/n

z(s) = 0,03696 - 0,011 / √ (0,03696*0,9630)/ 32600

z(s) =  0,02596* 180,55/ √ 0,0356

z(s) = 4,687 / 0,189

z(s) = 24,9

Comparing  z(s) and z(c)   24,9 > 1, 64

z(s) is out of the acceptance region and we have to reject H₀

We accept Hₐ   there is enough evidence to claim that the incidence of ASD is bigger in this state than it is nationally

Answer:

This question is incomplete

Step-by-step explanation:

There is a typo here. We cannot evaluate the given expression if there is no b and z to replace with the given values. Get it?

Answer:

Step-by-step explanation

they answer would be a whole number because you are multiplying by one thousand

Using the principle of proportionality, the number of nails that will be produced by 1 machine in 1 hour is [tex] 21 \frac{3}{5} \: thousand [/tex]

Let :

Using Principle of variation :

Using a row from the table :

t = 15 ; n = 81/5

3 = (81/5)k / 15

Cross multiply :

3 × 15 = (81/5)k

45 = (81/5)k

Divide both sides by (81/5) to isolate k

(45 ÷ 81/5) = k

k = (45 × 5/81) = 25/9 = 2.7777

Substituting the value of k into the expression:

[tex] m = \frac{\frac{25}{9}n}{t} [/tex]

We can use the expression to obtain, the value of n ; when m = 1 and t = (1 hour = 60 minutes)

[tex] 1 = \frac{\frac{25}{9}n}{60} [/tex]

[tex] 60 = \frac{{25}{9}}{n}[/tex]

Divide both sides by 25/9 to isolate n

[tex] 60 \times \frac{9}{25} = n [/tex]

[tex] n = \frac{540}{25} = 21 \frac{3}{5} \: thousand \: nails [/tex]

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Answer:

39% , 0.39 , 39/100

Step-by-step explanation:

I thought your randomness of letters was your question lol. Hope this helps though!

Answer:

rational

Step-by-step explanation:

it can express as a ratio of two numbers, therefore it is rational. it wouldn't be rational if it was for example 0.333333 that goes on forever.

Answer:

Can u add pictures of the rest?

Step-by-step explanation:

in the picture will explain the explanation