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3 years ago

Correct answers only please!

Mathematics

2 answers:

irina1246 [14]3 years ago

8 0

Answer:

C. 67 mph

Step-by-step explanation:

The speedometer reports speed based on the number of revolutions the tire makes in a given time period. If the motorcycle travels 28/25 times as far on each revolution, its speed is 28/25 times as great.

(28/25)(60 mph) = 67.2 mph ≈ 67 mph

_____

The distance traveled is proportional to the circumference of the tire, which is proportional to the diameter. Hence, actual speed for a given speedometer reading is proportional to the diameter of the tire.

skad [1K]3 years ago

8 0

Answer:

C. 67 mph

Step-by-step explanation:

∵ The ratio of speed of motorcycle and the circumference of the tyre is constant for a motorcycle,

If x be the speed ( in mph ) of a motorcycle having the tyre of diameter 28 inches,

⇒ The ratio of speed and circumference = $\frac{x}{2\pi (14)}$

( Because radius = Diameter / 2 ),

While, the speed of the same motorcycle having the tyre of diameter 25 inches is 60 mph,

⇒ The ratio of speed and circumference = $\frac{60}{2\pi (12.5)}$

By the above statement,

$\frac{x}{2\pi (14)}=\frac{60}{2\pi (12.5)}$

$\implies x=\frac{60\times 14}{12.5}=\frac{336}{5}=67.2\approx 67$

So, the actual speed of the motorcycle after changing the tyre is 67 mph ( approx )

Hence, option 'C' is correct.

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Leni [432]

$\longrightarrow{\green{ x\:=\:12}}$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}$

$(x - 9) \frac{2}{3} = 2$

$➺ \: (x - 9) = 2 \times \frac{3}{2}$

$➺ \: x = 3 + 9$

$➺ \: x = 12$

Therefore, the value of $x$ is 12.

$\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}$

$(x - 9) \frac{2}{ 3} = 2$

$➺ \: (12 - 9) \frac{2}{3} = 2$

$➺ \: 3 \times \frac{2}{3} = 2$

$➺ \: 2 = 2$

$➺ \: L.H.S.=R. H. S$

Hence verified.

$\huge\bf\purple{*Mystique 35♡༉}$

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3 years ago

A university offers 3 calculus classes: Math 2A, 2B and 2C. In both parts, you are given data about a group of students who have

ankoles [38]

Answer:

4 students

Step-by-step explanation:

The total number of students is given by:

$|A|+|B|+|C|-|A\cap B|-|A\cap C|-|B\cap C| + |A\cap B \cap C| = N$

Where N is the total number of students, A is the number of students that have taken Math 2A, B is the number of students that have taken Math 2B, and C is the number of students that have taken Math 2C:

$|A|+|B|+|C|-|A\cap B|-|A\cap C|-|B\cap C| + |A\cap B \cap C| = N\\51+80+70-15-20-13 + |A\cap B \cap C| = 157\\ |A\cap B \cap C| =4$

4 students in Group A have taken all three classes.

*The number of students that have taken two classes has be subtracted so those students do not get counted twice

4 0

4 years ago

Problem 7.1 (10 points) Let pXnqn"0,1,... be a Markov chain with state space S " t1, 2, 3u and transition probability matrix P "

12345 [234]

Answer:

The responses to the given can be defined as follows:

Step-by-step explanation:

For point a:

fixing probability vector that is $W = [a b c]$

$\therefore$

relation: $WT =W$

$\to 0.5a+0.3b+0.2c=a ..................(1)\\\\ \to 0.4a+0.4b+0.3c=b..............(2)\\\\ \to 0.1a+0.3b+0.5c=c.................(3)$

solving the value:

$a=0.3387 \\\\ b=0.3710\\\\ c=0.2903$

Therefore the stationary distribution $\pi =[0.3387 \ 0.3710\ 0.2903]$

For point b:

$\pi$ will be limiting distribution if $\pi_j=\lin_{n\to \infity} (X_n=\frac{j}{X_0}=i) \Sigma_{\sqrt{j}} n_j=1$

$\pi$ satisfies the above condition so, it is limiting the distribution.

3 0

3 years ago

Which expressions are equivalent to -90 - 60w

larisa86 [58]

Answer:

A : -30(3+2w)

B : (-9-6w) ⋅ 10

E : −20(4.5 + 3w)

Step-by-step explanation:

Using distributive property:

A : -30(3+2w) = -90 - 60w : equivalent to -90 - 60w

B : (-9-6w) ⋅ 10 = -90 - 60w : equivalent to -90 - 60w

C : -3(30 - 20w) = -90 + 60w : NOT equivalent to -90 - 60w

D : (6 + 4w)×15 = 90 + 60w : NOT equivalent to -90 - 60w

E : −20(4.5 + 3w) = - 90 - 60w : equivalent to -90 - 60w

Answer:

A : -30(3+2w)

B : (-9-6w) ⋅ 10

E : −20(4.5 + 3w)

6 0

3 years ago

Read 3 more answers

Bill's chocolate bar is 69% cocoa. If the weight of the chocolate bar is 83 grams, how many grams of cocoa does it contain? Roun

Maurinko [17]

Answer:

Bill's bar has 57.3 grams of cocoa.

Step-by-step explanation:

The math part that your question is asking is: What is 69% of 83?

In order to use the percent 69% in a calculation, you need to change it to a decimal.

69% is 0.69

You move the decimal to the left, two places.

69% is 69.% If you don't see a decimal to start with and it is a whole number, then the decimal is starting on the right.

Move it two places to the left, you get

.69

Now MULTIPLY.

.69 × 83

= 57.27

ROUND your answer to the nearest tenth. That means only one digit to the right of the decimal.

57.27 rounds to 57.3

Bill's bar has 57.3 grams of cocoa.

8 0

2 years ago