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3 years ago

Michael has three more than twice as many toy trucks as Hayden Write An Expression

Mathematics

2 answers:

melisa1 [442]3 years ago

7 0

H=Hayden's toys
M=Micheal's<span> toys
M=2h +3</span>

puteri [66]3 years ago

4 0

Let's use some variables to solve this question.

h = Hayden's toys

m = Michael toys

Then with those variables let's make an expression.

M (Michael toys) = 2h + 3

Hope this helps

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What is the name of the probability that actually happens

faust18 [17]

This is the theoretical probability

7 0

2 years ago

Angel has xx dimes and yy nickels. He has at most 13 coins worth no less than $0.95 combined. Solve this system of inequalities

ivanzaharov [21]

Answer:

a possible solution is (10,1)

Step-by-step explanation:

Here, we want to solve the given inequality and determine one possible solution

From the question, we have it that;

x + y ≤ 13

Mathematically, we have it that 1 dime is worth $0.1

A nickel is worth $0.05

0.1x + 0.05y ≥ 0.95

please check the attachment for the graph of both equations

The point of intersection represents the solution.

we have a point here as (10,1)

8 0

3 years ago

Which of the following is the equation of a line perpendicular to the line y =

makvit [3.9K]

Answer:

y = $\frac{1}{10}$ x + $\frac{13}{2}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 10x + 1 ← is in slope- intercept form

with slope m = - 10

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-10}$ = $\frac{1}{10}$ , thus

y = $\frac{1}{10}$ x + c ← is the partial equation

To find c substitute (5, 7) into the partial equation

7 = $\frac{1}{2}$ + c ⇒ c = 7 - $\frac{1}{2}$ = $\frac{13}{2}$

y = $\frac{1}{10}$ x + $\frac{13}{2}$ ← equation of line

5 0

3 years ago

A simplified model of a particular monument is a rectangular pyramid placed on top of a rectangular prism, as shown. The volume

timama [110]

*See attachment for the simplified model of the monument

Answer:

The correct option is B. 13ft.

YES to option B. NO to A and C.

Step-by-step Explanation:

=>Given: Model of the monument consisting of a rectangular pyramid and a rectangular prism having a total volume of 66ft³.

Volume of monument = Volume of Pyramid + Volume of Prism = 66ft³

=>Dimensions of given rectangular pyramid:

base length (l) = 3ft

base width = 2ft

height of pyramid (h) = ? (h = Unknown)

Base Area (B) = l × w = 3 × 2 = 6ft²

Volume of pyramid = ⅓ × base area (B) × h = ⅓ × 6 × h

V of Pyramid = 2h ft³

=> Dimensions of the rectangular prism:

base length (l) = 3ft

base width (w) = 2ft

Height of prism (h) = 10ft

Base area (B) = l × w = 3 × 2 = 6 ft³

Volume of prism = base area (B) × height (h)

V of prism = 6 × 10 = 60 ft³

We are required to find the possible height of the monument.

Height of monument = height of pyramid + height of prism

Height of pyramid is unknown (h)

Height of prism = 10ft

Let's find the height of the pyramid using the Volume of the monument = volume of pyramid + volume of prism

Thus,

V of monument = 66 ft³

V of pyramid = 2h ft³

V of prism = 60 ft³

Therefore,

66 = 2h + 60

Subtract 60 from both sides

66 - 60 = 2h + 60 - 60

6 = 2h

Divide both sides by 2

3 = h

Height of pyramid (h) = 3ft

Height of monument = h of Pyramid + h of prism

Height of monument = 3 + 10

Height of monument = 13ft.

The correct option is B. 13ft.

YES to option B. NO to A and C.

3 0

3 years ago

A publisher reports that 76v% of their readers own a personal computer. A marketing executive wants to test the claim that the p

lawyer [7]

Answer:

Null Hypothesis: 'The proportion of readers who own a personal computer is not 76%'

Alternative hypothesis: 'The proportion of readers who own a personal computer is not 76%', or it could also be stated as 'The proportion of readers who own a personal computer is less than 76%'

Step-by-step explanation:

A null hypothesis is an experimental statement that negates the existence of a relationship between two phenomena that are measured, or it is a statement that tells of no association between two experimental groups. The experimenter sets out to test the null hypothesis with a bid to disprove or accept the null hypothesis after subjecting experimental results through various confidence tests.

The null hypothesis is generally accepted to be true, unless it is proven otherwise, and it always comes from the point of negation between the associated phenomena. It is denoted commonly by the symbol 'H₀'.

The null hypothesis is analogous to the statement that ' a person is assumed to be innocent, (null hypothesis is assumed to be true) unless proven guilty beyond all reasonable doubt ' (and it is rejected only if the results show a statistically significant difference between what is measured and what is stated in the null hypothesis).

When the null hypothesis is rejected, it is replaced by the alternative hypothesis, a statement that holds true to the observed result and rejects the null hypothesis.

In this example, the proposition on ground was that 76% of readers of a publication, has a personal computer, the null hypothesis comes to negate this association/claim, that it is not a 76% proportion, but it could be more or less than 76%, hence the statement 'The proportion of readers who own a personal computer is not 76%'. Upon carrying out the research, it was found that the actual value was 70%, hence the null hypothesis is not rejected, and the null hypothesis is still the alternative hypothesis which can also be stated as 'The proportion of readers who own a personal computer is less than 76%', or in the exact words of the null hypothesis.

7 0

3 years ago