Helpppppppppppppppppppp

Answer:

The other number is 5/9.

Step-by-step explanation:

16/3 = 48/5 * x

x = 5/9

Answer:

decimal - 0.875

percent - 87.50%

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:

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:

y = x - 2

General Formulas and Concepts:

Pre-Algebra

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Point (-2, -4)

Point (2, 0)

Step 2: Find slope m

Step 3: Find y-intercept b

Step 4: Write linear equation

Slope-Intercept Form:   y = x - 2

And we have our final answer!

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:

b 15/4

Step-by-step explanation:

Answer:

16x^9/9+9 should be the answer

Step-by-step explanation:

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:

a=70 b=.16 c=350

Step-by-step explanation:

50 messages is 8 dollars

Answer:

B

Step-by-step explanation:

Y=mx=b

m= slope

b= y- intercept

x&y are variables

Answer:

2/5 × 3/2

I hope this helps!

Answer:

I don't have algebra but I suggest looking it up and it might show you at the very top.

Step-by-step explanation:

Hope this helps you:)

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: 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:

y+8.1<24

Step-by-step explanation:

Sum of= addition

y+8.1

less than is <

<24

Answer:

1,2,5,10

Step-by-step explanation:

Greatest common factor is 10

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: 27.00

Step-by-step explanation:

$50 - $23 = $27

Answer:

$27.00

Step-by-step explanation:

"D"

Answer:

the awenser  is D

Step-by-step explanation:

took the test lolz

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:

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

Answer:

C

Step-by-step explanation:

edge 2020

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

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Answer:

B

Step-by-step explanation: