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3 years ago

Elections In a mayoral election, the number of votes for the incumbent was

1 answer:

ozzi3 years ago

5 0

$100\%+25\%=125\%=\frac{125}{100}=1.25\\\\x;y-number\ of\ votes\ cast\ for\ candidates\ for\ mayor\\\\ \left\{\begin{array}{ccc}x=1.25y\\x+y=5175\end{array}\right\\\\subtitute:\\\\1.25y+y=5175\\2.25y=5175\ \ \ \ |divide\ both\ sides\ by\ 2.25\\\boxed{y=2300}\\\\x=1.25\times2300=2875\\\\Answer:\boxed{\boxed{2875}}$

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Domain and range please? Graph

Kamila [148]

The domain is {-1.5, -1.2, -0.8, -0.5, 0, 1, 2} And the range is {0, -3}

3 0

3 years ago

The number of typing errors made by a typist has a Poisson distribution with an average of seven errors per page. If more than s

Aleks [24]

Answer:

0.599 is the probability that a randomly selected page does not need to be retyped.

Step-by-step explanation:

We are given the following in the question:

The number of typing errors made by a typist has a Poisson distribution.

$\lambda =7$

The probability is given by:

$P(X =k) = \displaystyle\frac{\lambda^k e^{-\lambda}}{k!}\\\\ \lambda \text{ is the mean of the distribution}$

We have to find the probability that a randomly selected page does not need to be retyped

P(less than or equal to 7 mistakes in a page)

$P( x \leq 7) = P(x =1) + P(x=1) +...+ P(x=6) + P(x = 7)\\\\= \displaystyle\frac{7^0 e^{-7}}{0!} + \displaystyle\frac{7^1 e^{-7}}{1!} +...+ \displaystyle\frac{7^6 e^{-7}}{6!} + \displaystyle\frac{7^7 e^{-7}}{7!} \\\\= 0.59871\approx 0.599$

Thus, 0.599 is the probability that a randomly selected page does not need to be retyped.

4 0

3 years ago

Need help please would really be greatful

Rainbow [258]

Answer:

122°

Step-by-step explanation:

The formula for finding the sum of all angles in a polygon is:

(n-2) * 180°

n is the number of angles

Here n = 7, so the sum of all angles is

(7-2) * 180° = 900°

x = 900 - 128 - 130 - 120 - 115 - 145 - 140 = 122°

Make me the brainliest ;)

7 0

3 years ago

What are the roots of the quadratic equation 0= 8x^2+14x ?

Kazeer [188]

8x^2+14x=0
Take 2x as a common factor:
2x(4x+7)=0
Take 2 cases:
2x=0 or 4x+7=0
2x=0 x=0
4x+7=0 4x=-7 x=-7/4

The roots are 0 or -7/4.

Hope this helps :)

6 0

3 years ago

On the Bologna-Rome route of a high-speed train, 3/4 of the reservations are with departure from Bologna, while the remainder ar

svlad2 [7]

Step-by-step explanation:

First, we consider the calculation towards finding the total number of passengers who had booked the train in Florence. The main question to ask in answering this problem is

$\text{``If 20 passengers that board the train from Florence correlates to only} \ \displaystyle\frac{2}{5} \\ \text{of the bookings from Florence, then what is the total number of passengers} \\ \text{that booked regardless if the passengers boarded the train or not?"}$

This statement can be phrase mathematically using the method of ratio and proportion as shown below

$\displaystyle\frac{2}{5} : 1 \ = \ 20:x$ ,

in which the variable $x$ is the total number of passengers who booked the train from Florence.

Now, rewriting the above ratio into the form of fractions, yields

$\displaystyle\frac{\displaystyle\frac{2}{5}}{1} \ = \ \displaystyle\frac{20}{x} \\ \\ \displaystyle\frac{2}{5} \ = \ \displaystyle\frac{20}{x} \\ \\ x \ = \ \displaystyle\frac{20}{\frac{2}{5}} \\ \\ x \ = \ 20 \ \times \ \displaystyle\frac{5}{2} \\ \\ x \ = \ 50$

Given that a quarter out of all reservations is from Florence, then using the same method as before to evaluate the number of passengers that had booked the train (from both Bologna and Florence).

$\displaystyle\frac{\displaystyle\frac{1}{4}}{1} \ = \ \displaystyle\frac{50}{y} \\ \\ y \ = \ \dsiplaystyle\frac{50}{\frac{1}{4}} \\ \\ y \ = \ 50 \ \times \ 4 \\ \\ y \ = \ 200$ ,

where the variable $y$ denotes the total number of bookings.

Therefore, the total number of passengers that had booked the train is 200.

Now, it is stated that all passengers who booked had boarded the train from Bologna which is 150 passengers (three-quarters of total bookings). Then, 36 passengers from earlier got off in Florence, while 20 passengers boarded.

Number of passengers left when arriving Rome = 150 - 36 + 20

= 134 passengers

8 0

2 years ago