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Solve sauare completing method
2x^2-9x-5 =0​

Answer:

24m^2+50m-14

Step-by-step explanation:

Answer:

B. angle 5

Step-by-step explanation:

Answer:

(0,8)

Step-by-step explanation:

Step-by-step explanation:

It is given:

[tex]\mu=1000[/tex], [tex]\sigma=200[/tex]

Let x be the random variable that denotes the number of hours the lamp lights up.

what number of lights might expected to fail in the first 800 burning hours

Answer: We are required to find the expected number of lights to fail in the first 800 burning hours.

First, we have to find the probability as:

P(Z < 800)

Using the z-score formula, we have:

Using the z-score formula, we have:

[tex]P(x <800)=P \left(z<\frac{800-1000}{200} \right )[/tex]

=P(z<-1)

Now using the standard normal table, we have:

P(x<800)=P(z<-1)=0.1587

Therefore, the expected number of lights to fail in the first 800 burning hours is:

[tex]\boldsymbol{0.1587 \times 10000=1587}[/tex]

After how many burning hours 10% of the lamps would be still burning?

We first need to find the z-value corresponding to area = 1- 0.10 = 0.90. Using the standard normal table, we have:

z(0.90)=1.28

Now using the z-score formula, we have:

[tex]z= \frac{x-\mu}{\sigma}[/tex]

[tex]1.28= \frac{x-1000}{200}[/tex]

[tex]1.28 \times 200= x-1000[/tex]

[tex]256= x-1000[/tex]

x= 1000+256

[tex]\boldsymbol{x= 1256 }[/tex]

Using the Zscore principle, the number of bulbs expected to Fail in the first 800 burning hours is 1587

Given the Parameters :

The number of Lamps that might be expected to fail in the first 800 burning hours :

Recall:

Zscore = (800 - 1000) / 200 = -1

Using the normal distribution table :

P(Z < -1) = 0.15866

The number of bulbs expected to fail :

0.15866 × 10000 = 1586.6

Hence, 1587 bulbs are expected to fail in the first 800 burning hours.

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Answer:

10 010 10 10 10 10 101 01 mo1

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

here is your answer pls check it

Answer:

5. Use the race times to calculate the mean time for each team. Show your work. (3 points: 1 point for each team)

Red

45.6

Yellow

47

Blue

42.8

6. How do the three teams rank based on mean times? List them in order from fastest to slowest, and explain your ranking. (1 point)

From fastest to slowest the teams rank

Red

Yellow

Blue

7. How do the three teams rank based on median times? Explain your ranking. (1 point)

Based on median times the teams rank from fastest to slowest

Red and yellow tie for the first place

Blue

8. What statistic should you use if you wish to compare the spreads? Explain your reasoning. (1 point)

The interquartile range would be the best option for measuring the spread of these statistics.

Step-by-step explanation:

Sorry, this is the best I can do I need help with the rest of the questions.

Answer:

SAS postulate.. is the answer

Answer:

37.52 million

Step-by-step explanation:

using,

A = A'(1+R/100)ⁿ............................. equation 1

Where A = population size in 2015, A' = Initial population, R = rate in percentage, n = number of times between 2010 and 2015.

Given: A' =35.7 million, R = 1%, n = 5.

Substitute these values into equation 1

A = 35.7(1+0.01)⁵

A = 37.52 million.

Hence the size of the population of the country in the year 2015 is 37.52 million

Answer:

Step-by-step explanation:

The equation

[tex]G(h)=-3h^2+24h+47[/tex]

represents the grade you are going to earn which is represented by G(h) where h in the equation is the hours you study the week before.

Part A) Is totally up to you because in the question it asks What's the best possible grade you can earn with your current study habits lets say if you study around 4 hours the week before the test. Which means the value of h should be 4 because h represents hours in the equation.

so ,

[tex]G(h)=-3h^2+24h+47\\G(4)=-3(4)^2+24(4)+47\\G(4)=-48+96+47\\G(4)=95\\[/tex]

So if you studied for 4 hours the week before the test you are going to score 95 marks which would be an A* grade.

Part B) In this part it asks you the maximum amount of study time you will need to have to earn that grade which means how many maximum hours you would need to earn a total of 95 marks which is 4.

Part C) The y-intercept is the constant in the equation in this case +47 is y-intercept and in the context of the problem it denotes that if you studied for 0 hours you would still earn 47 marks on the test, which would result you failing the test.

Part D) How many hours would you need to complete and still earn a zero would be:

[tex]G(h)=-3h^2+24h+47\\-3h^2+24h+47=0[/tex]

because it says still earn a zero which means the grade is zero so now we solve the equation.

[tex]-3h^2+24h+47=0\\3h^2-24h-47=0\\[/tex]

using the quadratic formula we get two values for h which are

h = 9.627 and h = -1.627 so eventually hours can never be in negative its impossible you can't study for -1.627 so our answer is 9.627 hours and you would still earn a zero after studying approximately 9.6 hours.

Part E) The grade that you will earn if you studied for 5 hours is:

[tex]G(h)=-3h^2+24h+47\\G(5)=-3(5)^2+24(5)+47\\G(5)= -75+120+47\\G(5)=92\\[/tex]

You would earn 92 marks which would result in an A* grade

Answer:

(A) 95

(B) h=4

(C) 47, represents 0 hours of study

(D) h=9.63

(E) 92

Step-by-step explanation:

(A) They are asking for the maximum of the graph of the equation which can be found using the vertex formula:

[tex]max= c-\frac{b^2}{4a}[/tex]

where 'a' is the coefficient of the first term, 'b' is the coefficient of the second term and 'c' is the third term.

So we have:

[tex]max=47-\frac{(24)^2}{4(-3)} = 95[/tex]

(B) To find the hours of study required to get 95 we need to set the equation equal to 95:

[tex]-3h^2+24h+47=95[/tex]

which can be rewritten as:

[tex]-3h^2+24h+47-95=0[/tex]

or

[tex]-3h^2+24h-48=0[/tex]

When we solve for 'h' we get h = 4

Therefore, studying 4 hours gives us a grade of 95, which is the maximum score from the equation.

(C) The function G(h) is our y and h is our x values. To find the y intercept, x (which is h in the equation) must be set to 0 and solved for y. This is because the y intercept is at the point where x =0.

So we have:

[tex]G(h)=-3(0)+24(0)+47\\ =0+0+47\\ =47[/tex]

This is when h=0 and therefore is represents the grade when 0 hours of studying is done.

(D) To find how many hours of study can still produce a grade of 0, we need to set the function equal to 0 and solve for h.

[tex]-3h^2+24h+47=0\\[/tex]

This gives us two results when solved quadratically:

[tex]h=-1.63[/tex] and [tex]h=9.63[/tex]

Obviously, time cannot be negative so the answer is 9.63 hours.

(E) If we study for 5 hours, h should be equal to 5.

So substituting 5 for h we get:

[tex]-3(5)^2+24(5)+47=92[/tex]

So 5 hours of study affords us a grade of 92.

Hope that explains it.

Answer:

y = (1/4)x + 1

Step-by-step explanation:

The points mentioned are (-4,0) and (4,2).

We can find the slope m:

(2-0)/(4-(-4)) = 2/8 = 1/4

We now have the equation y = (1/4)x + b

Now we must find the y-intercept.

Plugging in the first point:

0 = (1/4)*(-4) + b

0 = -1 + b

1 = b

y = (1/4)x + 1

The expression that shows the change in the amount of money Belle's dad has is (x - 25) and this can be determined by forming the linear equation in one variable.

Given :

Belle's dad lends her $10. Then Belle borrows another $15 from him.

The following steps can be used to determine the expression that shows the change in the amount of money Belle's dad has:

Step 1 - Let the total amount of money Belle's dad have be 'x'.

Step 2 - Then it is given that Belle's dad lends her $10. So the expression becomes:

= x - 10b

Step 3 - Now, it is also given that Belle borrows another $15 from her dad. So, the above expression becomes:

= x - 10 - 15

Step 4 - Simplify the above expression.

= x - 25

So, the expression that shows the change in the amount of money Belle's dad has is (x - 25).

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9514 1404 393

Answer:

  18

Step-by-step explanation:

When chords cross, the product of the lengths of the pieces is the same for each chord:

  EU·ES = ET·EV

  8·9 = (12x)(6x)

  72 = 72x^2

  x^2 = 1   ⇒   x = 1

Then the length of interest is ...

  TV = ET +EV = 12·1 +6·1

  TV = 18

Answer:

1. no

2. yes

3. no

4. yes

Step-by-step explanation:

only the second and last expression works. If x is the final cost, and it is 35% off, then you are subtracting 0.35xor keeping 0.65x

please give thanks by clicking heart button! :)

Answer:

2 is the correct answer dood

Answer:

c) n=2

Step-by-step explanation:

Answer:

-450

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

since 2 cups equals 3 gallons you can divide 3 by 2 and get 1.5. so there are 1.5 cups per gallon hope it helps

Answer:

x ≥ 16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

x - 4 ≥ 12

Step 2: Solve for x

Here we see that any value x greater than or equal to 16 would work as a solution to the inequality.

Answer: x ≥ 16

Step-by-step explanation:

x−4≥12

Step 1: Add 4 to both sides.

x−4+4≥12+4

x≥16

Answer:

x≥16

Answer:

no

Step-by-step explanation:

if it was the amount of time would be going up at a constant rate but its not

and your graph is wrong

hope this helps <3

sorry if this is wrong this is a weird question :/

Answer:

Line segment A' B' has a length of 2 units, and line segment C' D' has a length of 4 units.

Step-by-step explanation:

All we need to do is count the units in between the line segments.

Answer:

66 degrees

Step-by-step explanation:

90+24=114

180-114=66

Answer:

66 degrees

Step-by-step explanation:

a right triangle must have a 90 degree angle and our other angle is 24. we also know that the sum of all the angles must be 180. 90+24=114

180-114 is 66

Answer:

1,102

Step-by-step explanation

406/7=56 (unit rate)

56*19=1102

Answer:

The answer is 1,102

Step-by-step explanation:

First, we need to figure out how much per hour.

406 divided by 7 = 58

Now we multiply by the hours

58 x 19 = 1,102

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Answer: Se pueden hacer 196,830,000 placas distintas.

Step-by-step explanation:

Cada placa va a tener 3 letras y 4 números.

Lo primero que tenemos que hacer es contar el numero de opciones que tenemos para cada selección, donde las selecciones van a ser.

Primera letra, segunda letra, tercera letra, primer numero, etcétera.

Entonces.

Para la primera letra tenemos 27 opciones.

Para la segunda letra también tenemos 27 opciones.

Para la tercera letra también tenemos 27 opciones.

Para el primer numero tenemos 10 opciones (0, 1, 2, 3, 4, 5, 6, 7, 8, 9)

para el segundo numero también hay 10 opciones.

Para el tercer numero también hay 10 opciones.

Para el cuarto numero también hay 10 opciones.

El numero total de posibles combinaciones va a ser igual al producto de todos los números de opciones, en este caso es:

C = 27*27*27*10*10*10*10 = 27^3*10^4 = 196,830,000

Se pueden hacer 196,830,000 placas distintas.

Answer:

y=60x

Step-by-step explanation:

i did it on edg2020

Answer:

(2.5,150)(4,240)

slope = (240 - 150) / (4 - 2.5) = 90 / 1.5 = 60

y = mx + b

slope(m) = 60

(4,240)...x = 4 and y = 240

now we sub and find b, the y int

240 = 60(4) + b

240 = 240 + b

240 - 240 = b

0 = b

so ur equation is : y = 60x + 0 which is written as : y = 60x <==

9514 1404 393

Answer:

  13 cm wide;  15 cm long

Step-by-step explanation:

Let w represent the original width. Then the original length is (w+2) and the original area is w(w+2). After the decrease, the width is (w-1) and the length is (w+1). The decreased area is (w-1)(w+1). The difference between these areas is 27, so we have ...

  w(w+2) -(w-1)(w+1) = 27

 w^2 +2w -(w^2 -1) = 27

 2w +1 = 27

  w = (27-1)/2 = 13

The original piece of cardboard was 13 cm wide and 15 cm long.

Answer:

the populations from which the samples were drawn have different standard deviations

Step-by-step explanation:

Given that the assumption of homogeneity of variance is the same as the assumption of the independent samples t-test which asserted that all comparison groups possess the same variance

Therefore, if the homogeneity of variance assumption is violated in an independent groups t-test, this means "the populations from which the samples were drawn have different standard deviations."

Answer:

the answer is d because it