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yarga [219]
2 years ago
5

$270 are shared in the ratio 4:5. what is the greater share?​

Mathematics
1 answer:
jarptica [38.1K]2 years ago
5 0

Answer:

$150

Step-by-step explanation:

5/(4+5) * 270 = 150

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Perform the operation 8-1/2+5-1/8
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12.375 is believed to be the correct answer

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Find the focus for y=x^2+4x-7
padilas [110]

ANSWER

(2,-10.75)

EXPLANATION

The given function is

y =  {x}^{2}  - 4x - 7

We rewrite this function to obtain,

(y + 11) =  {( x- 2)}^{2}

We now compare this function to

(y  -  k) = 4p {( x- h)}^{2}

We have

4p = 1

This implies that,

p =  \frac{1}{4}

The vertex is (2,-11).

The focus is

(2,-11+ \frac{1}{4} )

(2,- \frac{43}{4} )

(2,-10.75)

7 0
3 years ago
The data represented by the graph is normally distributed and adheres to the 68-95-99.7 rule. the standard deviation of this dat
jenyasd209 [6]

Answer:

i)

the standard deviation of this data is 2.2

ii) 84%

Step-by-step explanation:

We have been informed that the data represented by the graph is normally distributed and adheres to the 68-95-99.7 rule. This implies that we shall be dealing with the applications of the empirical rule.

In a normal distribution, the mean is also the mode as well as the median of the distribution. This implies that the mean is at the center of the distribution. In our case, the mean is 4.8. The vertical lines represents data points that lie 1, 2 and 3 standard deviations away from the mean.

From the graph, both 11.4 and -1.8 lie 3 standard deviations away from the mean on either side. We can thus use the following equation to solve for the unknown standard deviation;

mean + 3(sigma) = 11.4

where sigma is the standard deviation.

our mean is 4.8, therefore;

4.8 + 3(sigma) = 11.4

3(sigma) = 6.6

sigma = 2.2

ii)

In order to determine the percentage of the population that will fall below the mark of 7, we shall first determine how many standard deviations away from the mean the value 7 lies.

To do this, we can use the following equation;

4.8 + n(2.2) = 7

2.2n = 2.2

n = 1

Therefore, the data point 7 lies one standard deviation away from the mean to the right.

The percentage of the population that will fall below one standard deviation away from the mean is;

68 + 13.5 + 2.35 = 83.85%

Using the empirical rule

8 0
3 years ago
For the word KANGAROOS, if a letter is selected at random, what is the probability
aliya0001 [1]

Answer:

4/9 or 44.4%

Step-by-step explanation:

5 0
2 years ago
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