use the given information to find the indicated probability. p(a) = 0.1, p(b) = 0.8, p(a ∩ b) = 0.05. find p(a ∪ b).

The equivalent of 0.85 hectogram (hg) is 850 decigram (dg)

The measure is given as:

0.85 hg

As a general rule:

1 hectogram (hg) = 1000 decigram (dg)

So, multiply both sides of the above equation by 0.85

So, we have:

0.85 * 1 hectogram (hg) = 0.85 * 1000 decigram (dg)

Evaluate the product

0.85 hectogram (hg) = 850 decigram (dg)

Hence, the equivalent of 0.85 hectogram (hg) is 850 decigram (dg)

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Answer

A.x=8

1/3x-2/3x=2

x-2=6

x=6x2

x=8

Answer:

5

Step-by-step explanation:

Just by counting, 1 2 3 4 5. five is near the end, there for it is greater

Answer:

1/32

Step-by-step explanation:

5 counters, 1/2 chance of it being yellow, therefore...

\((\frac{1}{2})(\frac{1}{2})(\frac{1}{2})(\frac{1}{2})(\frac{1}{2}) = (\frac{1}{32})\)

tried my best to show the steps!! all i did was isolate to find the missing widths attached to the respective lengths (divided surface area by width) and then multiply both sides by two and add them together to find the perimeter.

The dimensions of the garden that would require the least amount of fencing are 6 ft in length and 6 ft in width.

The dimensions are the sides of a geometric shape.

The lengths of the three gardens are given as 6 ft, 9 ft, and 12 ft respectively.

If the area of the garden is 36 feet squared, then the widths for the three lengths will be as follows:

The width of the garden with a length of 6 ft \(= \dfrac{36}{6} = 6\ ft\)

The width of the garden with a length of 9 ft \(= \dfrac{36}{9} = 4\ ft\)

The width of the garden with a length of 6 ft \(= \dfrac{36}{12} = 3\ ft\)

The parameters are calculated as:

The parameter of the garden with dimensions (6 ft, 6 ft) = 2(6 + 6) = 24 ft

The parameter of the garden with dimensions (9 ft, 4 ft) = 2(9 + 4) = 26 ft

The parameter of the garden with dimensions (12 ft, 3 ft) = 2(12 + 3) = 30 ft

The least of the parameter is of the garden with dimensions (6 ft, 6 ft).

Thus, the garden with dimensions (6 ft, 6 ft) would require the least amount of fencing.

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Answer:

ddd

Step-by-step explanation:

dddddddd

After applying the coupon, the large pizza price came down to $13.00 from $16.25

We need to figure out the percentage change of this.

The formula for percent change is:

The amount of change (decrease) is:

16.25 - 13.00 = 3.25

The original amount is:

16.25

We substitute these information into the formula and figure out our answer:

Thus, the decrease is 20%.

We can say that the coupon was 20% off coupon.

Answer:

Step-by-step explanation:

$31.20/24

24 roses = 2 dozen roses

Each rose cost $1.30

The term that describes measures that would be taken to decrease the size of a professional sports is contraction.

Contraction is the act of decreasing or drawing collectively to make smaller; the alternative of expansion. In this case, the proprietors need to lessen the wide variety of groups with the aid of using removing franchises which are dropping the maximum money. Players who're on Minor League or break up contracts aren't completely assured their salaries. A participant on a break up or Minor League settlement will earn the prorated part of his Major League earnings for time spent at the Major League roster.

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Answer:

D C B A is the answer kid now pay up

To solve a simultaneous equation using elimination method, you eliminate one variable first.

Before you can do that, the coefficient of one of the variable in the two equations must be same.

From the questions, for the coefficient of one variable in the two equations to be thesame, we multiply the first equation by 3.

If we do this, the coefficient of Y in the two equations will now be 3.

So that the correct option is

Answer:

Step-by-step explanation:

Given

m∠COD=8x+13,

m∠BOC=3x-10, and

m∠BOD=12x-6

The following addition property is true;

<BOD = <BOC + <COD

Substitute

12x-6 = 3x-10+8x+13

12x-6 = 11x+3

12x-11x = 3+6

x = 9

Get <BOD

<BOD = 12x-6

<BOD = 12(9)-6

<BOD = 108-6

<BOD = 102°

The system of equations have Unique solution.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equation is,

⇒ 3x - y = 13

⇒ y + 3 = 9x

Now,

Since, The system of equation is,

⇒ 3x - y = 13

⇒ y + 3 = 9x

It can be written as,

⇒ 3x - y = 13

⇒ 9x - y = 3

Clearly, We have;

⇒ 3/9 = - 1 / - 1

⇒ 1/3 ≠ 1

Thus, It has Unique solution.

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Point estimate from the sample is 0.985, margin error is 0.003.

Confidence interval is defined as the interval which is the estimate for the parameter of the sample or population to be contained.

(a) To calculate point estimate or sample mean :

Point estimate is the mid point of the confidence interval.

Given that true mean weight of candy bars is 0.982 ounces to 0.988 ounces.

Point estimate = (0.982 + 0.988) / 2 = 1.97 / 2 = 0.985

(b) Margin error is the one half of the total width of the interval.

Margin error = (0.988 - 0.982) / 2 = 0.003

(c) The confidence level of 90% in this problem can be interpreted as , if we do the interval construction for many times, about 90% of the total constructed intervals has the true population mean of weight of fun size candy bars.

Hence the point estimate and margin error are 0.985 and 0.003 respectively.

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this should help

the formula is x = -b/2a

The arithmetic expressions are solved and answered below -

5 - 9 = - 4

8 - 8 = 0

- 1 + 12 = 11

- 12 + 12 = 0

- 2 + 4 + 3 = 5

- 4 + 3 + 2 - 1 = - 2 + 2 = 0

In mathematics, an expression or mathematical expression is a combination of terms both variables and constants. For example -

2x + 4y + 5z

4y + 2x

Given are the expressions as given in the questions.

{a} -

5 - 9 = - 4

{b} -

8 - 8 = 0

{c} -

- 1 + 12 = 11

{d} -

- 12 + 12 = 0

{e} -

- 2 + 4 + 3

5

{f} -

- 4 + 3 + 2 - 1 = - 2 + 2 = 0

Therefore, the arithmetic expressions are solved and answered below -

5 - 9 = - 4

8 - 8 = 0

- 1 + 12 = 11

- 12 + 12 = 0

- 2 + 4 + 3 = 5

- 4 + 3 + 2 - 1 = - 2 + 2 = 0

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{Complete question -

Calculate the following:

a) 5-9

b) 8-8

c) -1 + 12

d) -12 + 12

e) -2 +4+3

f) -4-3+2-1}

Answer:

B ( 6 , 3 )

Step-by-step explanation:

( \(x_{1}\) , \(y_{1}\) )

( \(x_{2}\) , \(y_{2}\) )

Coordinates of midpoint are ( \(\frac{x_{1} +x_{2} }{2}\) , \(\frac{y_{1} +y_{2} }{2}\) )

~~~~~~~~~~~~~~~~~~

A ( - 7 , - 9 )

B ( x , y )

M ( - 0.5 , - 3 )

\(\frac{-7+x}{2}\) = - 0.5 ⇒ x = 6

\(\frac{-9+y}{2}\) = - 3 ⇒ y = 3

B ( 6 , 3 )

Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

Step-by-step explanation:

Theoretical probability is the theory behind probability. To find the probability of an event using theoretical probability, it is not required to conduct an experiment. Instead of that, we should know about the situation to find the probability of an event occurring. The theoretical probability is defined as the ratio of the number of favourable outcomes to the number of possible outcomes.

Solution:

To find the probability of getting 5 while rolling a die, an experiment is not needed. We know that there are 6 possible outcomes when rolling a die. They are 1, 2, 3, 4, 5, 6.Therefore, the probability is,Probability of Event P(E) = No. of. Favourable outcomes/ No. of. Possible outcomes.P(E) = 1/6.Hence, the probability of getting 5 while rolling a fair die is 1/6.

I hope it helps

Answer:

A = 5.6 m^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 h( b1+b2) where h is the height and b1 and b2 are the lengths of the bases

A = 1/2 (2) (4+1.6)

A = 1(5.6)

A =5.6 m^2

Answer:

Step-by-step explanation:

b1 = 4 m   ; b2= 1.6m ; h = 2m

\(A =\frac{1}{2}h(b_{1}+b_{2})\\\\=\frac{1}{2}*2(4+1.6)\\\\=\frac{1}{2}*2*5.6\\\\=5.6 m^{2}\)

Answer:

This is you want?

If no, l can fix it or try again.

Answer:

when we have two dice, the odds are not as simple. For example, there's only one way to roll a two (snake eyes), but there's a lot of ways to roll a seven (1+6, 2+5, 3+4).

Step-by-step explanation:

got em

The mean of the test is 57.

Let's call the mean of the test "μ" and the standard deviation "σ".

We know that a score of 65 falls one standard deviation above the mean, so we can write:

65 = μ + σ

Likewise, we know that a score of 41 falls two standard deviations below the mean, so we can write:

41 = μ - 2σ

Now we have two equations with two unknowns (μ and σ).

We can use algebra to solve for μ.

Here's one way to do it:

Solve the first equation for μ:

μ = 65 - σ

Substitute this expression for μ into the second equation:

41 = (65 - σ) - 2σ

Simplify and solve for σ:

41 = 65 - 3σ

-24 = -3σ

8 = σ

Substitute this value of σ into either equation and solve for μ:

μ = 65 - σ

μ = 65 - 8

μ = 57

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The number of minutes that students spent at each exhibit will be 48 minutes.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

The seventh-graders at the center school are going on a field excursion to the aquarium. They will burn for 4 hours at the aquarium. The understudies should visit five shows while they are there.

If the time is evenly distributed, then the number of minutes that students spent at each exhibit will be given as,

⇒ (4 x 60) / 5

⇒ 240 / 5

⇒ 48 minutes

The number of minutes that students spent at each exhibit will be 48 minutes.

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Answer:

It's A.

Step-by-step explanation:

2^3 •2^7 = 1024

2^10 = 1024

Answer:

2¹⁰

Step-by-step explanation:

pretty sure you add exponents to simplify them

Answer:

C.

\(12 \sqrt[3]{6c} \)

Step-by-step explanation:

\(5 \sqrt[3]{6c} + 7 \sqrt[3]{6c} \\ = (5 + 7)( \sqrt[3]{6c}) \\ = 12 \sqrt[3]{6c} \)

Answer:

See explanation

Step-by-step explanation:

40% of the original $54 is $21.60, therefore the pants are $21.60 off of their original price. This makes the pants $32.40.

20% of the new $32.40 is $6.48, therefore the pants are $6.48 off of the 40%-off price. This makes the pants $25.92 for their final price.

Answer: -10x² - 27x - 5

Step-by-step explanation:

(5x + 1) (-2x - 5)

-10x² - 25x - 2x - 5

-10x² - 27x - 5

The equation for the plane through P0(-4, 6, -5) and perpendicular to the given line is -4x + 2y - 2z = 38.

To find the equation of the plane through P0(-4, 6, -5) and perpendicular to the given line with parametric equations x = -4t, y = 6 + 2t, z = -2t, we need to follow these steps:

1. Find the direction vector of the line.
2. Use the direction vector as the normal vector of the plane.
3. Plug the coordinates of P0 and the normal vector into the standard equation of a plane.

Step 1: Find the direction vector of the line.
The direction vector can be found using the coefficients of the parameter 't' in the line equations. The direction vector is (-4, 2, -2).

Step 2: Use the direction vector as the normal vector of the plane.
The normal vector of the plane is the same as the direction vector of the line, so the normal vector is N = (-4, 2, -2).

Step 3: Plug the coordinates of P0 and the normal vector into the standard equation of a plane.
The standard equation of a plane is Ax + By + Cz = D, where (A, B, C) are the components of the normal vector and D is a constant. Using P0(-4, 6, -5) and the normal vector N(-4, 2, -2), we have:

-4(x - (-4)) + 2(y - 6) - 2(z - (-5)) = 0

Simplify the equation:

-4x - 16 + 2y - 12 - 2z - 10 = 0
-4x + 2y - 2z = 38

The equation for the plane through P0(-4, 6, -5) and perpendicular to the given line is -4x + 2y - 2z = 38.

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