Gerda discovers that the lifetime of light bulbs is normally distributed with mean 1000 hours and standard deviation 100 hours. if gerda buys 50 bulbs, how many of them are expected to last less than 800 hours? give your answer correct to the nearest integer.

X= 14.375 and y = 21.75

Calculating For x

[tex] = > \huge\frac{x}{57.5} = \frac{16}{64} [/tex]

[tex] = > \huge\ \: x = \frac{57.5 \times 64}{16} [/tex]

[tex]x = 14.375[/tex]

Calculating For y

[tex] = > \huge \frac{y}{87} = \frac{16}{64} [/tex]

[tex] = > \huge y = \frac{87 \times 64}{16} [/tex]

[tex]y = 21.75[/tex]

[tex]\sf\red{hope\:it\:helps\:you}[/tex]

Answer:

Mean = 29300

median = 23500

Modal = 23000

Step-by-step explanation:

Mean = Add them all and divide by 10

= 29300

median = average of (rank of 5th and 6th)

= (23000 + 24000) /2

= 23500

Modal = appear the most

= 23000

Answer:

-5 is less than 1

[tex] \frac{12}{4} [/tex] is equal to 3

[tex] {2}^{2} [/tex] is equal to 4

2.83 is less than 3 and 4 but is more than -5

So, your answer would be [tex] {2}^{2} [/tex]

-thunderbolt07

Answer:

x=

620

69

Step-by-step explanation:

Let's solve your equation step-by-step.

41

2

x−

13

4

x=155

Step 1: Simplify both sides of the equation.

41

2

x−

13

4

x=155

41

2

x+

−13

4

x=155

(

41

2

x+

−13

4

x)=155(Combine Like Terms)

69

4

x=155

69

4

x=155

Step 2: Multiply both sides by 4/69.

(

4

69

)*(

69

4

x)=(

4

69

)*(155)

x=

620

69

Answer: Heyaa!

Your Answer is.. 620/11

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Hopefully this helps you !

- Matthew ~

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....

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Answer:

Step-by-step explanation:

The students council sold 20 bracelets and 10 necklesses.

The division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic,

here the number of the bracelets sold will be

[tex]N_{B}=\dfrac{50}{2.5}=20[/tex]

Number of the necklesses sold will be

[tex]N_{N}=\dfrac{50}{5}=10[/tex]

Hence the students council sold 20 bracelets and 10 necklesses.

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Answer:

C. 3.3 kg.

Step-by-step explanation:

There are 1000 grams in a kilogram.

So 3,000 g = 3300/1000

= 3.3 kg.

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

[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

Which of the following is equivalent to 3,300 grams?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

Option C

[tex]\blue\textsf{\textbf{\underline{\underline{How to solve:-}}}}[/tex]

Divide the number of grams by 1,000:-

[tex]\texttt{3,300:1,000=3.3}[/tex]

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

Answer:

D.

Step-by-step explanation:

242-44

198/2 = inequality

Answer:

-16 = -24

Step-by-step explanation:

Answer:

y = 70

Step-by-step explanation:

Angle Formed by Two Chords= 1/2(SUM of Intercepted Arcs)

y = 1/2(92+48)

y = 1/2(140)

y = 70

Answer: 34

Step-by-step explanation:

Answer:

Step-by-step explanation:

Now to find the sum of first 20 terms, substitute n=20,a=−1 and d=4 in S n = 2n [2a+ (n−1)d] as follows: S 20 = 220 [(2×−1)+(20−1)4]=10[−2+(19×4)]=10(−2+76)=10×74=740 Hence, the sum of first 20 terms is 740.

the sum of the first 20 terms of the series below is C.

Answer:

x = 16

Step-by-step explanation:

2(x - 1) - 6 = 24 ( add 6 to both sides )

2(x - 1) = 30 ( divide both sides by 2 )

x - 1 = 15 ( add 1 to both sides )

x = 16

Check the picture below, on the left side atop

AC is a diametrical line, and thus the angle that it makes is 180°, so the arcAB is obvious.  Now, the angle ADB, well is an inscribed angle touching the arcAB.

Check the picture below, on the left side below

well, that triangle is a triangle made using the diametrical AC, and thus the angle ABC is an inscribed angle in a semicircle, now check the picture on the right side

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.

[tex]\cfrac{x}{6}~~ = ~~\cfrac{6}{13-x}\implies 13x-x^2=36\implies 13x=x^2+36 \\\\\\ 0=x^2-13x+36\implies 0=(x-9)(x-4)\implies x=AE= \begin{cases} 9~~\checkmark\\ 4 \end{cases}[/tex]

now, let's notice something, 4 is also a valid value, why we can't use 4?

well, let's notice, the segment AE is passed the half of AC, namely passed the center, since AC is 13, half that must be 6.5, so whatever AE is, it must be greater than 6.5, so the value 4 is no dice.

Answer is From all those aforementioned, the true statement is: Thanh’s grade is 2.5 standard deviations below the mean of the test grades.

explanation

The z scores are standard deviations. If, for example, a tool returns a z score of +2.5, it means that the result is a standard deviation of 2.5. Very high or very low (negative) z scores associated

with very low p values are at the ends of the normal distribution.

2y + 3 + 5x + 6

2y + 5x + 9 = 0

hope it helps...!!!

The volume of the sphere with a radius of 2 units is 17.541π cubic units

A sphere is a solid 3-dimensional figure. The volume of a sphere is expressed as:

V = 2/3πr^3

where:

r is the radius of the sphere:

Given the following

r = 2 units

Substitute the given parameters

V = 2/3(π) * 2^3

V = 2/3 * π * 8

V = 16.75π/3

V = 17.541π cubic units

Hence the volume of the sphere with a radius of 2 units is 17.541π cubic units

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Answer:

x = [tex]\frac{15}{11}[/tex]

Step-by-step explanation:

[tex]\frac{3}{5}[/tex] x - [tex]\frac{1}{3}[/tex] x = x - 1

multiply through by 15 ( the LCM of 5 and 3 ) to clear the fractions

9x - 5x = 15x - 15

4x = 15x - 15 ( subtract 15x from both sides )

- 11x = - 15 ( divide both sides by - 11 )

x = [tex]\frac{-15}{-11}[/tex] = [tex]\frac{15}{11}[/tex]

Answer: 6.5 or 2/13

Step-by-step explanation: add all the numbers together first

2+8+5= 15

then add 1 purple and 1 blue together over 13 (because it says without replacement) so 2/13 then divide = 6.5

I'm pretty sure let me know if i got it wrong

Answer:

steps below

Step-by-step explanation:

Total = 12+17+14 = 43

Without replacement:

C(12,5) / C(43,5) = (12!/5!*7!) / (43!/5!*38!) = (12*11*10*9*8) / (43*42*41*40*39)

                          = 95040 / 115511760

                           = 0.00082

                           ≈ 0.082%

with replacement: 12/43*12/43*12/43*12/43*12/43 = 12⁵ / 43⁵

Answer: 0.4

Step-by-step explanation:

⅕ + ⅕ = ⅖

Convert to decimal 0.4

Answer:

Looking at the given numbers, we can see that each number gets multiplied by 2 to produce the next number.  Therefore if we multiply the first number by 2 we would get that the second number is actually just 2.

Answer:

2

Step-by-step explanation:

Its multiplying by 2 each.

The figures that perfectly fit into the values for the table are the values;  a = 34, b = 18, c = 68.

The Venn diagram is one of the ways by which data is represented. The presentation of data involves a rectangle in which circles are inscribed.

Here, the figures that perfectly fit into the values for the table are the values;  a = 34, b = 18, c = 68.

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Answer:

C. a = 34, b = 18, c = 68.

Step-by-step explanation:

Did the Unit Test Review on Edge 2022

Answer:

2/5

Step-by-step explanation:

To find slope:

y2-y1 / x2-x1

2-6 / -12--2

2-6 / -12+2

-4/-10

4/10

2/5

The factoring method which can be considered for such a cubic tetranomial expression is; factor by grouping sum of cubes.

It follows from the task content that the order of the Polynomial is 3 and the polynomial is a tetranomial as it contains 4 terms.

On this note, since 3x³ is not a perfect cube, it follows that the best factorisation method for such a polynomial is; factor by grouping sum of cubes.

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Answer:

C). 38

Step-by-step explanation:

The range is the measurement of the difference between values in a data set. To find the range, subtract the lowest value from the greatest value.

2, 5, 19, 7, -5, 33, 26, 15, 12

-5, 2, 5, 7, 12, 15, 19, 26, 33

Lowest value,

⇒ -5

Greatest value,

⇒ 33

33 - (-5)

⇒ 38

Hence, the range/answer is 38. ⇒ option c.

Answer:299 cm

Step-by-step explanation: you have to find the area of square and rectangle. 33*6.5 = 214.5 plus 13 * 6.5 = 84.5 then add together

214.5 + 84.5 = 299cm