How to solve?
-6+K
--------- = -9
2

Answer:

0.6844 = 68.44% probability that a drum meets the guarantee.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set 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]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 101.8 pounds and a standard deviation of 3.76 pounds.

This means that [tex]\mu = 101.8, \sigma = 3.76[/tex]

What is the probability that a drum meets the guarantee?

Probability of at least 100 lbs of solvent, which is 1 subtracted by the p-value of Z when X = 100. So

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

[tex]Z = \frac{100 - 101.8}{3.76}[/tex]

[tex]Z = -0.48[/tex]

[tex]Z = -0.48[/tex] has a p-value of 0.3156.

1 - 0.3156 = 0.6844

0.6844 = 68.44% probability that a drum meets the guarantee.

Answer:

A=25% B=75%

Step-by-step explanation:

So first lets make a sample space. (Im using red, blue, green, and yellow)

rr, rb, rg, ry

br, bb, bg, by

gr, gb, gg, gy

yr, yb, yg, yy

So for A its 4/16 or 1/4=25%

For B its 12/16=3/4=75%

Answer:

$5.60 or 5.52

Step-by-step explanation:

Step one multiply 2 to 2.80 (Since 6 muffins cost $2.80, a dozen should be 6 times 2. Because a dozen is 12, so half of a dozen is 6, and multiply half by 2 and, you will get the answer.)

[tex]2 \times 2.80 = 5.60[/tex]

Answer:

The correct answer is the "Brogden-Cronbach-Gleser formula".

Step-by-step explanation:

Answer:

20v

Step-by-step explanation:

answer

20 v. hope helpful answer. 10+10v-10+10 =20

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Answer:

  D

Step-by-step explanation:

The first equation of System 2 is the first equation of System 1.

The second equation has an x-coefficient of (A-L). The coefficients of x in System 1 are A and L, so (A-L) is their difference. The second equation of System 2 is the difference of the equations in System 1.

__

This is described by Choice D:

The second equation in System 2 is the difference of the equations in System 1. The first equation in System 2 is the first equation in System 1.

x + 2 1/2 = 10

x + 0.5 = 10

x = 9.5

Someone donated 2 toys and one-half of a toy. Someone donated a random out of toys and we had 10 toys in total.

x equal that mystery amount of toys that were dontated.

Answer:

6 or 2

Step-by-step explanation:

f(x) = 0.5|x - 4| + 6

0.5|x - 4| + 6 = 7

0.5|x - 4| = 7-6

0.5|x - 4| = 1

|x - 4| = 2

x -4 = ± 2

x-4 = 2 ==> x = 6

x-4 = -2 => x = 2

so the value of x = 6 or 2

Answer:

b/2 + 8 = 86

b = 156

Step-by-step explanation:

Half the comics is b/2

b/2 + 8 = 86

Subtract 8 from both sides

b/2 = 78

multiply both sides by 2

b = 156

Answer:

Option A,B,C and D  is correct

Step-by-step explanation:

As we can see , the data set for April month has longer time duration taken for completing homework as compared to the time taken during the month of April. Hence, option A is correct.

Option B is also correct because most of the instance of time taken for doing homework is greater for month of April as compared to the month of March

Median value for the month of march = 25 and median value for the month of April is (30+35)/2 = 32.5. Hence, Option C is correct

There is greater variability for the month of April. Hence, option D is correct

Answer:

what are you asking

Step-by-step explanation:

Step-by-step explanation:

domain : i think is x > 4/3

range : y >4

Answer:

160 units²

Step-by-step explanation:

Surface area of the square pyramid = a² + 2al

Where,

a = side length of the square = 8

l = slant height of the triangular face = 6

Plug in the values

Surface area of the square pyramid = 8² + 2*8*6

= 64 + 96

= 160 units²

Answer:

B

Step-by-step explanation:

Answer:

Directions: Write the new coordinates for each point or figure.

Sample Question:

Point F has the coordinates (-9,6). What are the coordinates of its image point after the translation of six units down and three units to the left?

Answer:

The coordinates of its image point after the translation are (-12, 0).

Explanation: When you look at an ordered pair the x number comes first, followed by the y number (x,y). Moving a point left or right changes the x number. Moving a point up or down changes the y number. Left and down require subtraction, while right and up require addition. In the sample, we had to go 3 units to the left, -9 - 3 = -12. We also had to go 6 units down, so 6 - 6 = 0.

Point Q has the coordinates (9,5). What are the coordinates of its image point after a translation of six units up and three units to the right?

Point P has the coordinates (3,4). What are the coordinates of its image point after a translation of 8 units down and 5 units to the left?

Point Z has the coordinates (10,7). What are the coordinates of its image point after a translation of six units down and three units to the right?

Point Y has the coordinates (0,-4). What are the coordinates of its image point after a translation of 10 units up and 3 units to the left?

Point X has the coordinates (3,-8). What are the coordinates of its image points after a translation of 11 units down and 10 units to the right?

Answer:

(-10,5)

Step-by-step explanation:

Answer: x=3

Step-by-step explanation:

from figure

=>tan45= x/3

=>x= 3tan45

=>x=3

Answer:

Step-by-step explanation:

here hypotenuse is x

since it is an isosceles triangle the other side of the triangle also must 3.

using pythagoras theorem

a^2 + b^2 = c^2

3^2 + 3^2 = x^2

9 + 9 = x^2

18 = x^2

[tex]\sqrt{18} = x[/tex]

Answer:

well... uhm...its...uhm... 39.9

Step-by-step explanation:

Answer:

0.0006 = 0.06% probability of this occurrence

Step-by-step explanation:

For each unit, there are only two possible outcomes. Either it is defective, or it is not. The probability of an unit being defective is independent of any other unit, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

An electronics firm claims that the proportion of defective units of a certain process is 5%.

This means that [tex]p = 0.05[/tex]

A buyer has a standard procedure of inspecting 15 units selected randomly from a large lot.

This means that [tex]n = 15[/tex]

a) What is the probability of this occurrence?

Probability of 5 defective items, whch is P(X = 5). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{15,5}.(0.05)^{5}.(0.95)^{10} = 0.0006[/tex]

0.0006 = 0.06% probability of this occurrence

Answer:

6: 15

Step-by-step explanation:

When finding the ratio of anything, you must count each side.

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Answer:

  40.56 ft

Step-by-step explanation:

The length of the semicircle of diameter 8 ft is ...

  (1/2)(π)(d) = (π/2)(8 ft) = 4π ft ≈ 4×3.14 ft = 12.56 ft

Then the sum of the lengths of all of the sides of the figure is ...

  P = 10 ft + 8 ft + 10 ft + 12.56 ft = 40.56 ft

The perimeter of the figure is about 40.56 ft.

Answer:

C)  3(x+7)²

Step-by-step explanation:

Answer:

A) (3x + 21)(x + 7)

Step-by-step explanation:

If we look at the equation we can see that it is a quadratic equation, therefore we can factor it in the following way...

[tex]3x^{2} + 42x + 147 = 3x^{2} + 21x + 21x + 147 = 3x(x + 7) + 21(x + 7) = (3x + 21)(x + 7)[/tex]

Therefore the answer is A)

Answer:

195 mL of the 90% solution

Step-by-step explanation:

Let the number of mL of 90% mixture = x

Hence, our equation is

780mL × 15% + x mL × 90% = (780mL + x) 30%

117 + 0.9x = 234 + 0.3x

Collect like terms

0.9x - 0.3x = 234 - 117

0.6x = 117

x = 117/0.6

x = 195 mL

Therefore, You will need 195 mL of the 90% solution

the answer is 2,0

Step-by-step explanation:

i got it right according to my teacher

The x-intercept of the continuous function shown in the table is, (2, 0)

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Slope = -7+8/1

slope=1

You can see the values of x and f(x) from the given table.

An ordered pairs is in the form of (x, f(x)).

By x-intercept definition;

at x =2

⇒ f(x) = 0

Therefore,  the x-intercept of the continuous function shown in the table is, (2, 0)

To learn more on slope of line click:

https://brainly.com/question/16180119

#SPJ7

Answer:

12

Step-by-step explanation:

Do 8 divided by 14 =0.571428571

times that by 21 = 12

The options are missing, so i have attached them.

Answer:

options B, E, G & H are correct.

Step-by-step explanation:

A) We are given;

1.71 × 10³ = 0.00171

For this conversion, the exponent attached to 10 is positive. This means we will have to move the decimal point to the right of 1.71 three times because the exponent is 3.

Thus, the proper conversion is;

1.71 × 10³ = 1710

B) We are given;

8.05 × 10^(5) = 805000

For this conversion, the exponent attached to 10 is positive. This means we will have to move the decimal point five times to the right of 8.05 because the exponent is 5.

Thus, the proper conversion is;

8.05 × 10^(5) = 805000

C) We are given;

2.4 × 10⁴ = -24000

For this conversion, the exponent attached to 10 is positive. This means we will have to move the decimal point four times to the right of 2.4 because the exponent is 4.

Thus, the proper conversion is;

2.4 × 10⁴ = 24000

D) We are given;

8.25 × 10^(-3) = -8250

For this conversion, the exponent attached to 10 is negative. This means we will have to move the decimal point three times to the left of 8.25 because the exponent is -3.

Thus, the proper conversion is;

8.25 × 10^(-3) = 0.00825

E) We are given;

7.09 × 10^(-6) = 0.00000709

For this conversion, the exponent attached to 10 is negative. This means we will have to move the decimal point six times to the left of 7.09 because the exponent is -6.

Thus, the proper conversion is;

7.09 × 10^(-6) = 0.00000709

F) We are given;

3.99 × 10^(5) = 300,099

For this conversion, the exponent attached to 10 is positive. This means we will have to move the decimal point five times to the right of 3.99 because the exponent is 5.

Thus, the proper conversion is;

3.99 × 10^(5) = 399,000

G)We are given;

8 × 10^(7) = 80,000,000

For this conversion, the exponent attached to 10 is positive. This means we will have to move the decimal point seven times to the right of 8 because the exponent is 7.

Thus, the proper conversion is;

8 × 10^(7) = 80,000,000

H) We are given;

1.03 × 10^(-4) = 0.000103

For this conversion, the exponent attached to 10 is negative. This means we will have to move the decimal point four times to the left of 1.03 because the exponent is -4.

Thus, the proper conversion is;

1.03 × 10^(-4) = 0.000103

Looking at all the options as well as the proof I got, only options B, E, G & H are correct.

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Answer:

  1046 pounds

Step-by-step explanation:

The volume of the hemisphere is given by the formula ...

  V = 2/3πr³

where r is the radius, or half the diameter.

The radius is (4 ft)/2 = 2 ft, so the volume of the tank is ...

 V = (2/3)π(2 ft)³ = 16/3π ft³ ≈ 16.755 ft³

Then the weight of the water in the tank is ...

  (16.755 ft³)(62.4 lb/ft³) ≈ 1045.52 lb

The total weight of the water is about 1046 pounds.

Answer:

0.2w^2+4w+3

Step-by-step explanation:

a(w)=−0.4w^2+5w+9

c(w)=−0.2w^2+9w+12

We want to find the how many more children than adults

f(w) = c(w) - a(w)

    = −0.2w^2+9w+12 - ( −0.4w^2+5w+9)

Distribute the minus sign

= −0.2w^2+9w+12 +0.4w^2-5w-9

Combine like terms

 = 0.2w^2+4w+3

Answer:

Step-by-step explanation:

1) the triangle on the right is half of an equilateral one, so the minor leg is 9

the left one has the two legs congruent

so we have

2x^2 = 81

x^2 = 81/2

x = 9/√2 = 9/2 √2 (at the numerator)

2) the top triangle has the congruents leg

hypotenuse^2 = 2(6√6)^2

hypotenuse^2 = 2(216)

hypotneuse^2 = 432

hypotenuse = √2^4 * 3^2 * 3

hypotenuse = 12√3

the triangle in the bottom is half of the an equilateral one, so

x = 12√3 * 2 = 24√3

3) the left triangle has congruent legs

7^2 = leg^2 + leg^2

49 = 2leg^2

leg^2 = 49/2

leg = 7/√2 = (7√2)/2

the right triangle is half of an equilateral one

x = 7√2/2 * √3 =  7/2 √6 (at the numerator)

4) the rifht triangle has two congruent legs

hy^2= 2(7√6)^2

hy^2 = 2(294)

hy^2 = 588

hy = √2^2 * 7^2* 3

hy = 14√3

the triangle on the left is half of an equilteral one: so

x = 14