find the value of a 3a+2b=8 and b=-2

The probability that the volume of a can chosen at random is ≥382 is 0.47725

Probability is the likelihood or chance that an event will occur. For the given question, we need to calculate the  z value as shown;

[tex]z=\dfrac{x-\mu}{\sigma}[/tex]

Given the following parameters

[tex]x=382mL\\\mu (mean)=372mL\\\sigma(S.D)=5mL[/tex]

Substitute

[tex]z=\dfrac{382-372}{5} \\z=\dfrac{10}{5}\\ z=2[/tex]

In order to calculate the probability that the volume of a can chosen at random is ≥382, we will look for (z≥2)

z≥2 according to probability table is equivalent to 0.47725

Learn more on normal distribution here: https://brainly.com/question/26822684

#SPJ1

I predict that the solid with the  greater surface area to volume ratio would be the cube.

The volume of the cube is 27in³

The surface area of the cube is

The ratio of surface area to volume for the cube is 2.

The volume of the sphere is 113.14 in³

The surface area of the sphere is 113.14 in²

The ratio of surface area to volume is 1.

The volume of a cube = side length³

3³ = 27 in³

The surface area of a cube = 6a²

a = side length

6 x (3²) = 54 inches²

Ratio of surface area to volume = 54 / 27 = 2

The volume of the sphere= 4/3πr³

4/3 x 22/7 x 3³ = 113.14 in³

The surface area of the sphere = 4πr²

4 x 22/7 x 3² = 113.14 in²

Ratio of surface area to volume = 113.14 / 113.14 = 1

To learn more about the volume of a cube, please check: https://brainly.com/question/26406747

#SPJ1

Answer: the answer is C

Step-by-step explanation:

Hi student, let me help you out! :)

. . . . . . .  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to describe the graph shown in the attached picture.

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Please see below! ^^

[tex]\boxed{\mathrm{Yes}}[/tex] ⇒ It passes the Vertical Line Test (Draw a vertical line through the graph; if the line touches the graph once (only once), then the graph is a function.

[tex]\boxed{\mathrm{No}}[/tex] ⇒ It doesn't pass the Vertical line test. The line touches the graph more than once.

[tex]\underline{\rule{50}{1}}[/tex]

Since the line touches the graph only once, this graph is a function, and Option A. is not right; we can cross it out.

One down, three to go! ^^

[tex]\boxed{\mathrm{Yes}}[/tex] ⇒ It passes the horizontal line test; it touches the graph only once.

[tex]\boxed{\mathrm{No}}[/tex] ⇒ It doesn't pass the test; the line touches the graph

[tex]\underline{\rule{50}{1}}[/tex]

Since a horizontal line touches the graph more than once, this function is not one-to-one.

Option B. isn't right either.

Two down, two to go! ^^

However, look what Option C. is. The graph we're given is indeed a function, and it's not one-to-one.

So I choose Option C.

Let's ensure our answer is correct by checking the last option:

[tex]\boxed{\mathrm{Yes}}[/tex] ⇒ Its graph is a straight line.

[tex]\boxed{\mathrm{No}}[/tex] ⇒ Its graph isn't a straight line.

[tex]\underline{\rule{50}{1}}[/tex]

As we can see, the given graph is not a staight line; thus, Option D. is also wrong.

Thus, Option C. is the correct answer.

Hope it helps you out! :)

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

The probability of randomly selecting a cat or dog is P(cat or dog) = P(cat) + P(dog)

Since we cannot select a cat and dog at the same time, their probabilities are mutually exclusive

If we have events a and b which are mutually exclusive with probabilities P(a) and P(b) respectively, the probability of a or b is P(a or b) = P(a) + P(b)

Let

So, probability of randomly selecting a cat or dog is

P(cat or dog) = P(cat) + P(dog)

So, probability of randomly selecting a cat or dog is P(cat or dog) = P(cat) + P(dog)

Learn more about probability here:

https://brainly.com/question/24830485

#SPJ1

Answer:

864

Step-by-step explanation:

First, you multiply 2 and 6, so it's 12, and multiply it by 144, so it's 1728, and divide it by 2. Therefore, it's 864!

For questions 1 and 2 options, A and D are correct respectively.

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

1. In ∆ABC,

a=10 cm, b=18 cm, c=∠105°

For the given data only one triangle is formed. Option A is correct.

2. In ∆ABC, if <A is obtuse and a<c,

An obtuse angle is an angle more than the 90°.The given condition is wrong. None of the triangle is formed from the given options.

Hence for questions 1 and 2 options A and D are correct respectively.

To learn more about the triangle, refer to:

https://brainly.com/question/2773823

#SPJ1

Answer:

R'(2,4)

Step-by-step explanation:

When doing translations you subtract or add within the coordinates like a normal problem.

If it helps you, write it as seperate equations like:

1-1 and 5-1

Hope that helps ✓

Answer:

55%

Step-by-step explanation:

(33/60) * 100

leave a comment if u need further explanation

Answer:

function

Step-by-step explanation:

no repeated domain means its a function

The statement that is true about the polygons is: the opposite angles of the rectangle are supplementary, therefore, a circle can be circumscribed about the rectangle.

An circumscribed quadrilateral is a quadrilateral whose four side lie tangent to the circumference of a circle. The opposite angles in an inscribed quadrilateral are supplementary, that is, when added together, their sum equals 180 degrees.

From the two figures given, the opposite angles of the rectangle are supplementary, therefore, a circle can be circumscribed about the rectangle. (Option D).

Learn more about circumscribed quadrilateral on:

https://brainly.com/question/26690979

#SPJ1

Answer:

no because it just reaches one class, not the student body

Step-by-step explanation:

Answer:

A ≈ 9.6 units²

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = product of 2 sides × sin (angle between them ) , that is

A = 3 × 5 × sin40° = 15 × sin40° ≈ 9.6 units² ( to the nearest tenth )

Using proportions, considering the amount she received from each person, it is found that Annie had 30 sweets originally.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, we have that:

The final amount was of 63, hence:

1.4 x 1.5 x n = 63

n = 63/(1.4 x 1.5)

n = 30.

Annie had 30 sweets originally.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer:

Each person get 4 slice of pizza and 2 is remaining

Answer:

Step-by-step explanation:

Answer: it’s A and C (45 ft and 37 ft) I think

Answer:

126

Step-by-step explanation:

The difference between the first two terms of this sequence is 5 (16 - 11 = 5). The difference between the second and third terms of this sequence is also 5 (21 - 16 = 5).

So, we can assume that the difference between each term in this sequence is 5. To get from the first term (11) to the second term (16) we had to add 5 once. (or, add 5  x 1 [time])

To get from the first term (11) to third (21), we had to add 5 twice

(or, add 5 x2)

*repeated addition, such as 5+5+5 is the same thing as multiplication. If we are adding 5 three times, we will get the same outcome as 5 x 3.

So, to get from the first term (11) to the 24th term, we will have to add 5 23 times, or 5 x 23

5 x 23 = 115

11 + 115 = 126

Making 126 the 24th term of the sequence

The value of probability P(X<3) is 0.3 after calculating the area up to 3 option second is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a probability distribution shown in the picture.

To find the probability P(X<3) = area up to 3

From the probability distribution:

P(X<3) = (1/2)×3×(0.20)

P(X<3) = 1.5×0.20

P(X<3) = 0.3

Thus, the value of probability P(X<3) is 0.3 after calculating the area up to 3 option second is correct.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

The value of x and y is (5,2)

We have given that,

4x + 2y = 9 ........(1)

x - 2y = 1.......(2)

We have to solve the simultaneous equation

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

adding equations 1 and 2 so we get,

4x + 2y = 9

x - 2y = 1

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

5x-0y=10

[tex]5x=10\\x=10/2\\x=5[/tex]

Use the value of x in equation 2 so we get,

[tex]5-2y=1[/tex]

[tex]-2y=1-5[/tex]

[tex]-2y=-4[/tex]

[tex]y=-4/-2[/tex]

[tex]y=2[/tex]

Therefore the value of x and y is (5,2)

To learn more about the equation visit:

https://brainly.com/question/2888445

#SPJ1

There are 11 elements are in (A U B)

The given parameters are:

n(A) = 4

n(B) = 7

The number of elements in (A U B) is calculated using:

n(A U B) = n(A) +n(B) - n(A U B)

Given that the sets have distincts elements, we have:

n(A U B) = 4 + 7 - 0

Evaluate

n(A U B) = 11

Hence, there are 11 elements are in (A U B)

Read more about sets at:

https://brainly.com/question/2166579

#SPJ1

Answer: There are 11 elements are in (A U B)

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

It mentions that the x-intercept is equal to twice the y-intercept.

=============================================================

Let :

⇒ x-intercept = (2a, 0)

⇒ y-intercept = (0, a)

==============================================================

Slope formula :

m = y₂ - y₁ / x₂ - x₁

=============================================================

Solving :

⇒ m = a - 0 / 0 - 2a

⇒ m = a / -2a

⇒ m = -1/2

Answer:

Answer

4.9/5

345

author link

audreyburkett12

   Ambitious

   102 answers

   33.2K people helped

Assuming the time changes at a constant rate, the equation for this is linear (so has the equation y=mx +c)

8am = -2

9am = -0.5

10am = 1.0

11am = 2.5

12pm = 4

m = change in each value or the slope , for this it is m=1.5

c = the y intercept, we find this by: when x=8 y must = 1.5 , which it isn't , y has to = -2 . So c = -3.5

The equation then is: y= 1.5*x - 3.5

The gradient/slope/m value is 1.5. The answer is 1.5

The limit of the given function if [tex]\lim_{x \to 0} f(x)=4[/tex] is 64

Given the following limit of a function expressed as;

[tex]\lim_{x \to 0} f(x)=4[/tex]

We are to determine the value of the function

[tex]\frac{1}{4} \lim_{x \to 0} [f(x)]^4[/tex]

This can also be expressed as

[tex]\frac{1}{4} \lim_{x \to 0} [f(x)]^4\\ = \frac{1}{4}(4)^4 \\=1/4\times 256\\=64[/tex]

Hence the limit of the given function if [tex]\lim_{x \to 0} f(x)=4[/tex] is 64

Learn more on limit of a function here: https://brainly.com/question/23935467

#SPJ1

Answer:

∠TUS I'm pretty sure because t and u make a right angle

Answer: D.

Step-by-step explanation:

x + 3 > 2       Original equation

x > -1             Subtract 3 on both sides

Number line that has an open circle and on -1 that goes right = D.

Answer:

Step-by-step explanation:

30 divided by 5 - 2 + 7 = 3

Then , write down the correct equation.

30 : (5 - 2 + 7) = 3

30 : (3 + 7) = 3

30 : 10 = 3

3 = 3

Answer:

26 display cases

Please give brainliest!
Hope this helps :)

if Jamaal has 1920 stamps, and he wants to place them in diplay cases that can each hold 72 stamps, we figure out how many display cases can be filled with stamps by finding out 1920/72

This gives us 26 2/3, but 2/3 isn't 1.

he can fill 26 cases

Considering the given quadratic function, we have that:

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

In this problem, the function is given by:

g(x) = -5(x - 3)²

Hence h = 3, k = 0, and the vertex is (3,0).

They are the values of x for which g(x) = 0, hence:

-5(x - 3)² = 0

(x - 3)² = 0

Applying the root to both sides:

x - 3 = 0.

x = 3.

The x-intercept is (3,0).

More can be learned about quadratic functions at https://brainly.com/question/24737967

#SPJ1

Answer:

option c

Step-by-step explanation:

Answer:

she should get ready by 11:10

Step-by-step explanation:

Add All the time up 75(1 hour 15min=60+75)+40+25+30=170minutes

170minutes/60= 2 hour 50minutes

subtract 2 hour 50minutes from 2:00

= 11:10

Answer:

1.65 N

Step-by-step explanation:

Step 1: convert cm^2 to m^2

1 cm^2 = 0.0001 m^2

750 cm^2 = 0.075 m^2

Step 2: multiply pressure by area

F = P*A = 22 N/m^2 * 0.075 m^2 = 1.65 N