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3 years ago

Which graph displays a rate of change of 2.5?

Mathematics

2 answers:

kvv77 [185]3 years ago

7 0

the middle one is a rate of 2.5

Yuri [45]3 years ago

4 0

Answer:

The one in the middle.

Step-by-step explanation:

Not the first one because it would have a negative rate of change.

Find slope of second one:

Use points (2,2) and (0,-3)

(-3 - 2) / ( 0 - 2)

-5 / -2

2.5

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A carpenter is making doors that are 20582058 millimeters tall. If the doors are too long they must be trimmed, and if they are

melamori03 [73]

Answer:

Z= 0.253

Z∝/2 = ± 1.96

Step-by-step explanation:

Formulate the null and alternative hypotheses as

H0 : u1= u2 against Ha : u1≠ u2 This is a two sided test

Here ∝= 0.005

For alpha by 2 for a two tailed test Z∝/2 = ± 1.96

Standard deviation = s= 15

n= 10

The test statistic used here is

Z = x- x`/ s/√n

Z= 2058- 2046 / 15 / √10

Z= 0.253

Since the calculated value of Z= 0.253 falls in the critical region we reject the null hypothesis.

There is evidence at the 0.05 level that the doors are too short and unusable.

7 0

3 years ago

Which 2 statements are TRUE about Exponential Functions?

storchak [24]

The true statements are:
The equation has a variable in the exponent position.
The graph has a variable rate of change which causes it to have a curved shape.

These are the defining characteristics of an exponential function.

5 0

3 years ago

A survey was given asking whether people like dogs and/or cats. 153 said they like dogs 191 said they like cats 56 said they lik

lapo4ka [179]

Answer:

There were 362 people surveyed

Step-by-step explanation:

* Lets explain how to solve the problem

- A survey was given asking whether people like dogs and/or cats

# 153 said they like dogs

# 191 said they like cats

# 56 said they liked both cats and dogs

# 74 said they don't like cats or dogs

- We need to find how many people were surveyed

* Lets find the number of who likes dogs only and the number who

likes cats only

- The number who likes dog only (cats only) is the difference between

the number who likes dogs (cats) and the number who likes both

∴ The number who likes dogs only = 153 - 56 = 97

∴ The number who likes cats only = 191 - 56 = 135

- The total number of people were surveyed is the sum of the number

who likes cats only and who likes dogs only and who likes both and

who doesn't like both

∵ The number who doesn't like dogs or cats is 74

∴ The total number = 97 + 135 + 56 + 74 = 362

* There were 362 people surveyed

7 0

3 years ago

Pretest: Unit 5 Question 12 of 21 Use the substitution method to solve the system of equations. Choose the correct ordered pair.

Gala2k [10]

Answer:

(10, - 9 )

Step-by-step explanation:

Given the 2 equations

y = - 2x + 11 → (1)

y = - 3x + 21 → (2)

Substitute y = - 2x + 11 into (2)

- 2x + 11 = - 3x + 21 ( add 3x to both sides )

x + 11 = 21 ( subtract 11 from both sides )

x = 10

Substitute x = 10 into either of the 2 equations and evaluate fir y

Substituting into (1)

y = - 2(10) + 11 = - 20 + 11 = - 9

solution is (10, - 9 )

3 0

3 years ago

Shawndra said that it is not possible to draw a trapezoid that is a rectangle, but it is possible to draw a square that is a rec

ICE Princess25 [194]

Shawndra is correct

She made two statements, and both are true:

1. It is not possible to draw a trapezoid that is a rectangle.

This is true because a trapezoid is a quadrilateral that has exactly one pair of parallel sides, whereas a rectangle is a parallelogram (i.e. it has two pairs of parallel sides)

2. It is possible to draw a square that is a rectangle.

This is true because a rectangle refers to any parallelogram with right angles. A square is also a parallelogram (has two pairs of opposite sides) with right angles. In fact, all squares are rectangles; only that they are a special kind of rectangle, where all the sides are equal in length.

8 0

3 years ago

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