HELP! WILL MARK BRAINLIEST!!

Answer:

Most number lines have left be negative and right be positive. Hence, -3, which is more positive than -4, would be to the right of -4.

Step-by-step explanation:

Answer:

(A) The probability that a bulb burns between 778 and 834 hours is 0.51118.

(B) The probability that the average light bulb life is at least 820 hours in a random sample of 40 bulbs  is 0.00079

Step-by-step explanation:

Let X denote the life time of light bulbs.

It is provided that X follows a normal distribution with mean of 800 hours and standard deviation of 40 hours.

(A)

Compute the probability that a bulb burns between 778 and 834 hours as follows:

[tex]P(778<X<834)=P(\frac{778-800}{40}<\frac{X-\mu}{\sigma}<\frac{834-800}{40})\\\\=P(-0.55<Z<0.85)\\\\=P(Z<0.85)-P(Z<-0.55)\\\\=0.80234-0.29116\\\\=0.51118[/tex]

Thus, the probability that a bulb burns between 778 and 834 hours is 0.51118.

(B)

Compute the probability that the average light bulb life is at least 820 hours in a random sample of 40 bulbs as follows:

[tex]P(\bar X\geq 820)=P(\frac{\bar X-\mu}{\sigma/\sqrt{n}}\geq \frac{820-800}{40/\sqrt{40}})\\\\=P(Z>3.16)\\\\=1-P(Z<3.16)\\\\=1-0.99921\\\\=0.00079[/tex]

Thus, the probability that the average light bulb life is at least 820 hours in a random sample of 40 bulbs  is 0.00079

Using the normal distribution and the central limit theorem, it is found that there is a:

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Item a:

The probability is the p-value of Z when X = 834 subtracted by the p-value of Z when X = 778, hence:

X = 834:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{834 - 800}{40}[/tex]

[tex]Z = 0.85[/tex]

[tex]Z = 0.85[/tex] has a p-value of 0.8023.

X = 778:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{778 - 800}{40}[/tex]

[tex]Z = -0.55[/tex]

[tex]Z = -0.55[/tex] has a p-value of 0.2912.

0.8023 - 0.2912 = 0.5111

0.5111 = 51.11% probability that a bulb burns between 778 and 834 hours.

Item b:

Sample of 40, hence [tex]n = 40, s = \frac{40}{\sqrt{40}}[/tex].

The probability is 1 subtracted by the p-value of Z when X = 820, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{820 - 800}{\frac{40}{\sqrt{40}}}[/tex]

[tex]Z = 3.16[/tex]

[tex]Z = 3.16[/tex] has a p-value of 0.9992.

1 - 0.9992 = 0.0008

0.0008 = 0.08% probability that the average light bulb life is at least 820 hours.

To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213

Answer:

y+8.1<24

Step-by-step explanation:

Sum of= addition

y+8.1

less than is <

<24

Answer: D) 32

Step-by-step explanation:

1. You have to add 5 on both side which you get x=32

2. x=32 which means 32 is the # for x

:)

Answer: 27.00

Step-by-step explanation:

$50 - $23 = $27

Answer:

$27.00

Step-by-step explanation:

"D"

Step-by-step explanation:

{

x

=

1

y

=

4

Explanation:

Take a look at your starting system of equations

{

5

x

+

y

=

9

10

x

−

7

y

=

−

18

Notice that if you multiply the first equation by

(

−

2

)

, and add the right-hand sides and the left-hand sides of the equations separately, you can eliminate the

x

-term.

This will leave you with one equation with one unknown,

y

.

{

5

x

+

y

=

9

∣

⋅

(

−

2

)

10

x

−

7

y

=

−

18

{

−

10

x

−

2

y

=

−

18

10

x

−

7

y

=

−

18

---------------------------------------------------

−

10

x

−

2

y

+

10

x

−

7

y

=

−

18

+

(

−

18

)

−

9

y

=

−

36

⇒

y

=

(

−

36

)

(

−

9

)

=

4

Now use this value of

y

in one of the two original equations to find the value of

x

5

x

+

(

4

)

=

9

5

x

=

5

⇒

x

=

5

5

=

1

Answer:

6 degrees Celsius

Step-by-step explanation:

It started at 2 degrees Celsius below zero. The next day, it dropped to 12 degrees Celsius below zero. The next day, it rose to 7 degrees below zero. The next day, it increased to 6 degrees ABOVE zero. -7+13=6

Answer:

144 grams

Step-by-step explanation:

Im assuming you want to mass of grapes, do total mass subtracted by the mass of the bowl

Answer:

1,2,5,10

Step-by-step explanation:

Greatest common factor is 10

Answer:

105

Step-by-step explanation:

180-(55+20)=105

105 is the missing angle because every triangle equals 180 degrees so you just subtract the angles you have already found from 180.

the person above me is correct i checked it so it is indeed 105!

Answer:

Linear Equation: A linear equation is an algebraic equation. · 2. Polynomial Equation: · 3. Quadratic Equation: · 4. Trigonometric equation: · 5. Radical Equation:

Step-by-step explanation:

Answer:

a=70 b=.16 c=350

Step-by-step explanation:

50 messages is 8 dollars

Answer:

B

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

So:a=3

b=(-2)

c=2

Substitute the numbers into each letters

so a is represented by 3,c by 2 and b -2

therefore giving us: 2

3+(-2)=9+(-2)=7

Answer:

now using the formula (a-b) (a2+ab+b2)=a3-b3

=>x3-63

x3-216#answer

The factor of the cubic polynomial x³ + 216 will be (x + 6) and (x² – 6x + 36). Then the correct option is B.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The cubic polynomial is given below.

⇒ x³ + 216

Then the cubic polynomial is written as,

⇒ x³ + 6 × 6 × 6

⇒ x³ + 6³

We know that the formula of a³ + b³ is given as,

a³ + b³ = (a + b)(a² – ab + b²)

Compare the expression, we have a = x and b = 6. Then the expression will be

x³ + 6³ = (x + 6)(x² – 6x + 6²)

x³ + 6³ = (x + 6)(x² – 6x + 36)

The factor of the cubic polynomial x³ + 216 will be (x + 6) and (x² – 6x + 36).

Then the correct option is B.

More about the factorization link is given below.

https://brainly.com/question/6810544

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Answer:

I think it's the first one... but I'm not pretty sure.

Answer:

C

Step-by-step explanation:

edge 2020

The required equation of the line with slope 1/3 is y = 1/3x + 1 shown in the graph B. Option B is correct.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

here,
Locate two points on each graph and put the values of the points in the following formula of the slope,

M = (y₂ - y₁) /  (x₂ - x₁)

So, in the graph B we have point (-3,0) and (0, 1)

So slope will be,
m =  1 - 0 / 0 + 3
m = 1/3

Thus, the required equation of the line with slope is y = 1/3x + 1.

Learn more about slopes here:
https://brainly.com/question/3605446

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Answer:

B

Step-by-step explanation:

120/60=2

2 hours

The time required in minutes to set the sterilizer is 120. The correct option is B.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that you work in a hospital, instructions for an instrument state that it should be cleaned in the sterilizer for two hours.

The time in minutes will be calculated as:-

Time = 2 hours

Time = 2 x 60 minutes

Time = 120 minutes

Therefore, the time required in minutes to set the sterilizer is 120. The correct option is B.

To know more about an expression follow

https://brainly.com/question/11096532

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Answer:

3 = 18 ( 3 * 6 = 18 ) 4 = 32 ( 4 * 8 = 32 ) 5 = 50 ( 5 * 10 = 50 ) 6 = 72 ( 6 * 12 = 72 ) 7 = 98 ( 7 * 14 = 98 ) 8 and 9 are Missing. So, there must be Pattern, 8 = 128 ( 8 * 16 = 128 ) 9 = 162 ( 9 * 18 = 162 )

Answer: Less than 1

Step-by-step explanation: 4.23 x 10^-5 simply translated to 0.0000423

which is less than 1.

Answer:

less than 1

Step-by-step explanation:

4.23 * 10^5 is less than 1

Answer:

B

Step-by-step explanation:

Y=mx=b

m= slope

b= y- intercept

x&y are variables

Answer:

decimal - 0.875

percent - 87.50%

Step-by-step explanation:

Answer:

1. y-intercept = 4 ⇒ slope = [tex]\frac{1}{3}[/tex]

2. y-intercept = -2 ⇒ slope = [tex]-\frac{3}{5}[/tex]

3. y-intercept = 1 ⇒ slope = 4

4. y-intercept = 3 ⇒ slope = [tex]-\frac{3}{2}[/tex]

5. y-intercept = 4 ⇒ slope = 1

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

Let us solve the questions using the form above

1. y = [tex]\frac{1}{3}[/tex] x + 4

∵ m =  [tex]\frac{1}{3}[/tex] and b = 4

∴ y-intercept = 4 ⇒ slope =  [tex]\frac{1}{3}[/tex]

2. y = [tex]-\frac{3}{5}[/tex] x - 2

∵ m =  [tex]-\frac{3}{5}[/tex] and b = -2

∴ y-intercept = -2 ⇒ slope =  [tex]-\frac{3}{5}[/tex]

3. y = 4x + 1

∵ m = 4 and b = 1

∴ y-intercept = 1 ⇒ slope = 4

4. y = [tex]-\frac{3}{2}[/tex] x + 3

∵ m =  [tex]-\frac{3}{2}[/tex] and b = 3

∴ y-intercept = 3 ⇒ slope =  [tex]-\frac{3}{2}[/tex]

5. y = x + 4

∵ m = 1 and b = 4

∴ y-intercept = 4 ⇒ slope = 1

Answer:

The triangle on the left for a is 79 degrees and the one to the right is 63 degrees

Step-by-step explanation:

A triangle is equal to 180 degrees and to find the missing side you subtract the two values that you have to get the missing one.

Answer:

i belive its 19/33

Step-by-step explanation:

Answer:

Me too not trying to get the points but how are u suppose to solve this anyway

Step-by-step explanation:

Answer:

90!

Step-by-step explanation:

even, ends in zero, and 9 times ten! :)