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Natasha2012 [34]
3 years ago
15

Help immediately!!!!! What is the average rate

Mathematics
2 answers:
Snezhnost [94]3 years ago
6 0

Answer:

the average rate of change is 4

Step-by-step explanation:

Akimi4 [234]3 years ago
4 0

Answer:

4

Step-by-step explanation:

1. Information

Another word for the average rate of change is the slope. The question is essentially asking, what the slope is over the interval of [3, 4]. Hence, one will use the following points, that are on this given function;

(3, -5), (4, -1)

One must also know that the formula for slope is;

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

2. Solving

Input the given points into the formula and solve.

\frac{(-1)-(-5)}{(4)-(3)}

\frac{-1+5}{1}

\frac{4}{1}

4

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Orbet used 24 square tiles to make a rectangle. The perimeter of the rectangle is 20 units. What would be the perimeters of the
Dmitriy789 [7]

Answer:

The perimeter of other rectangles are 50, 28, 22 units

The area of all possible rectangles are same and equals to 24 unit²

Step-by-step explanation:

Given - Orbet used 24 square tiles to make a rectangle. The perimeter of the rectangle is 20 units.

To find -  What would be the perimeters of the other rectangles Orbet could make using only these 24 tiles? How do the areas of the rectangles compare?

Proof -

We know that

Are of Rectangle = Length × Breadth

And Perimeter of Rectangle = 2 (Length + Breadth )

Now,

Given that,

Orbet used 24 square tiles

And perimeter of the rectangle made = 20

So,

Possible Length of rectangle = 6

Possible breadth of Rectangle = 4

Or Vice-versa.

Total number of Rectangles possible = 4

Possibilities are -  1 × 24, 2 × 12, 3 × 8, 4 × 6

Case I :

Length of rectangle = 1

Breadth of rectangle = 24

∴ Perimeter of rectangle = 2(1 + 24) = 2(25) = 50 units

Area of rectangle = 1 × 24 = 24 unit²

Case II :

Length of rectangle = 2

Breadth of rectangle = 12

∴ Perimeter of rectangle = 2(2 + 12) = 2(14) = 28 units

Area of rectangle = 2 × 12 = 24 unit²

Case III :

Length of rectangle = 3

Breadth of rectangle = 8

∴ Perimeter of rectangle = 2(3 + 8) = 2(11) = 22 units

Area of rectangle = 3 × 8 = 24 unit²

Case IV :

Length of rectangle = 4

Breadth of rectangle = 6

∴ Perimeter of rectangle = 2(4 + 6) = 2(10) = 20 units

Area of rectangle = 4 × 6 = 24 unit²

∴ we get

The perimeter of other rectangles are 50, 28, 22 units

The area of all possible rectangles are same and equals to 24 unit²

5 0
3 years ago
Im dehydrated i need water fr
Margarita [4]
Bone dry, sorry nothing I can do about that
4 0
3 years ago
Adrian wants to add ceiling beams inside his A-frame house. The diagram below shows how one set of beams will be built.
lora16 [44]

The length of the bottom beam =9.16 feet

<h3>What is Pythagoras theorem?</h3>

the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Given : Total length of arm = 3.4+3.4=6.8 ft

Applying Pythagoras in  triangle on right side we have,

H²=P²+ B²

6.8²= P² + 4.8²

46.24= P² +23.04

P²= 23.2

P= 4.81 feet

Similarly, on the triangle on left side.

Again we have the base as 4.81 feet.

Now,  the length of the bottom beam= 4.81*2

                                                             =9.16 feet

Learn more about Pythagoras theorem here:

brainly.com/question/343682

#SPJ1

6 0
2 years ago
A poll of 1068 adult Americans reveals that 48% of the voters surveyed prefer the Democratic candidate for the presidency. At a
zubka84 [21]

Answer:

Z = -1.333

P-value  = 0.09176

Decision Rule: Reject H_o if ∝  is greater than the P-value

Conclusion: Since P-value is >  the level of significance ∝, we fail to reject the null hypothesis, therefore there is insufficient evidence to conclude that at least half of all voters prefer the Democrat.

Step-by-step explanation:

Given that:

The sample size of the poll = 1068

The proportion of voters that preferred Democratic candidate is \hat p = 0.48

To test the claim that at least half of all voters prefer the Democrat, i.e 1/2 = 0.5

The null hypothesis and the alternative hypothesis can be computed as:

H_o : p \geq 0.50

H_1 : p < 0.50

Using the Z test statistics which can be expressed by the formula:

Z = \dfrac{\hat p - p}{\dfrac{\sqrt{p(1-p) }}{n}}}

Z = \dfrac{0.48 - 0.5}{\dfrac{\sqrt{0.5(1-0.5) }}{1068}}}

Z = \dfrac{-0.02}{\sqrt{\dfrac{{0.5(0.5) }}{1068}}}

Z = \dfrac{-0.02}{\sqrt{\dfrac{{0.25}}{1068}}}

Z = \dfrac{-0.02}{0.015}

Z = -1.333

P-value = P(Z< -1.33)

From z tables,

P-value  = 0.09176

The level of significance ∝ = 0.05

Decision Rule: Reject H_o if ∝  is greater than the P-value

Conclusion: Since P-value is >  the level of significance ∝, we fail to reject the null hypothesis, therefore there is insufficient evidence to conclude that at least half of all voters prefer the Democrat.

5 0
3 years ago
Can someone help please<br> ;((
Luba_88 [7]

Answer:

see explanation

Step-by-step explanation:

A

note from the table that the cost increases by $15 for each package, then this is the multiplier for the cost.

let n be the number of packages , then

cost = 15n

B

to find the cost of 7 packages , substitute n = 7 into the rule

cost = 15 × 7 = $105

3 0
1 year ago
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