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3 years ago

Find the sum of the odd numbers between 11 and 199 inclusive

Mathematics

1 answer:

Varvara68 [4.7K]3 years ago

7 0

Answer:

The sum of the odd numbers between 11 and 199 inclusive

= 9,975

Step-by-step explanation:

Old numbers between 11 and 199 are:

11 13 15 17 19 21 23 25 27 29 = 200

31 33 35 37 39 41 43 45 47 49 = 400

51 53 55 57 59 61 63 65 67 69 = 600

71 73 75 77 79 81 83 85 87 89 = 800

91 93 95 97 99 101 103 105 107 109 = 1,000

111 113 115 117 119 121 123 125 127 129 = 1,200

131 133 135 137 139 141 143 145 147 149 = 1,400

151 153 155 157 159 161 163 165 167 169 = 1,600

171 173 175 177 179 181 183 185 187 189 = 1,800

191 193 195 197 199 = 975

Total sum = 9,975

Classify the odd numbers into 10 columns, then add each row. Start by adding the first row, which equals 200. Each successive row of the old numbers will equal 200 more than the previous row sum. At the end, add all the row sums to get the sum of the old numbers from 11 to 199.

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A grading scale is set up for 1000 students' test scores. It assumes the

astra-53 [7]

Answer:

464 students will score between 48 and 75. Using the z-distribution, we measure how many standard deviations each score is from the mean, then find the p-value associated with each score to find the proportion, and from the proportion, we find how many out of 1000.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

It assumes the scores are normally distributed with a mean score of 75 and a standard deviation of 15.

This means that $\mu = 75, \sigma = 15$

How many students will score between 48 and 75?

First we find the proportion, which is the pvalue of Z when X = 75 subtracted by the pvalue of Z when X = 48. So

X = 75

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{75 - 75}{15}$

$Z = 0$

$Z = 0$ has a p-value of 0.5

X = 48

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{48 - 75}{15}$

$Z = -1.8$

$Z = -1.8$ has a p-value of 0.0359

1 - 0.0359 = 0.4641

Out of 1000:

0.4641*1000 = 464

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3 years ago

Which graph below shows a line that contains ordered pairs that are solutions of the equation shown?

Vinvika [58]

Given:

The equation is:

$y=-x+4$

To find:

The graph of the line that contains ordered pairs that are solutions of the given equation.

Solution:

We need to find the graph of the given equation.

We have,

$y=-x+4$

At $x=0$ , we get

$y=-0+4$

$y=4$

So, the x-intercept of the given equation is at point (0,4).

At $y=0$ , we get

$0=-x+4$

$x=4$

So, the y-intercept of the given equation is at point (4,0).

From the given graphs it is clear that the line in option C has x-intercept at point (0,4) and y-intercept at point (4,0).

Therefore, the correct option is C.

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3 years ago

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ELEN [110]

Answer:

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Step-by-step explanation:

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fiasKO [112]

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3 years ago

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Mandarinka [93]

Answer:

Then the answer is option a

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Step-by-step explanation:

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If perimeter was more than 70 inches then perimeter 60 more than the height would be more than 130.

perimeter of rectangle is

It has two widths and two lengths because that's what rectangles do.

width of base "x"

Then the length is 2.5x

perimeter = 2 width + 2 length

= $2(x) + 2(2.5x)$

= 2x + 5x

= 7x

but perimeter can't be more than 70 inches.

So x can't be more than 10 inches because if x was more than 10 inches, then 7x which is perimeter would be more than 70 inches.

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3 years ago

Find the sum of the odd numbers between 11 and 199 inclusive ​

Find the sum of the odd numbers between 11 and 199 inclusive