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3 years ago

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The altitude of the hypotenuse of a right triangle divides the hypotenuse into 45 in. and 5 in. segments. What is the length of

the altitude?

1 answer:

miskamm [114]3 years ago

4 0

Answer:

15 in.

Use this website : http://graysonmath.com/wp-content/uploads/2018/10/HM2_6.4-Practice-Key.pdf

Step-by-step explanation:

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Six different second-year medical students at Bellevue Hospital measured the blood pressure of the same person. The systolic re

Yanka [14]

Answer:

$Range=14$

$\sigma^2 =32.4$

$\sigma = 5 .7$

The standard deviation will remain unchanged.

Step-by-step explanation:

Given

$Data: 136, 129, 141, 139, 138, 127$

Solving (a): The range

This is calculated as:

$Range = Highest - Least$

Where:

$Highest = 141; Least = 127$

So:

$Range=141-127$

$Range=14$

Solving (b): The variance

First, we calculate the mean

$\bar x = \frac{1}{n} \sum x$

$\bar x = \frac{1}{6} (136+ 129+ 141+ 139+ 138+ 127)$

$\bar x = \frac{1}{6} *810$

$\bar x = 135$

The variance is calculated as:

$\sigma^2 =\frac{1}{n-1}\sum(x - \bar x)^2$

So, we have:

$\sigma^2 =\frac{1}{6-1}*[(136 - 135)^2 +(129 - 135)^2 +(141 - 135)^2 +(139 - 135)^2 +(138 - 135)^2 +(127 - 135)^2]$

$\sigma^2 =\frac{1}{5}*[162]$

$\sigma^2 =32.4$

Solving (c): The standard deviation

This is calculated as:

$\sigma = \sqrt {\sigma^2 }$

$\sigma = \sqrt {32.4}$

$\sigma = 5 .7$ --- approximately

Solving (d): With the stated condition, the standard deviation will remain unchanged.

5 0

3 years ago

Maria mixes 1/4 cup of white sugar and 2/3 cup of brown sugar, to make a topping for some muffins. She uses 1/12 cup of the mix

Sergeu [11.5K]

Maria can top 11 muffins.

7 0

3 years ago

PLS HELP I GIVE BRAINLIEST

Mekhanik [1.2K]

Answer:

Step-by-step explanation:

relative speed is calculated by the difference of the one with respect to the other

let car be 70 mph

and lorry be 50 mph../

relative speed of car with respect to lorry = 70-50 = 20 mph

this is ur answer

3 0

3 years ago

Which of the following could be a measurement on a scale drawing that has a scale of 2:5? 2 in.:5 ft

12345 [234]

It's the1st: 4 cm/10 cm because:
4/10 = 2/5 . and because they have the SAME UNIT (cm)

6 0

3 years ago

At a certain real estate firm, realtors selling homes receive a commission of: 7% for the first $100,000 of the selling price, a

scoray [572]

Answer: The actual price of house sold at $109000.

Step-by-step explanation:

Since we have given that

Selling price = $100000

Rate of commission = 7%

So, Amount of commission would be

$\dfrac{7}{100}\times 100000\\\\\=\$7000$

Total commission = $7540

So, Remaining amount of commission would be

$\$7540-\$7000\\\\=\$540$

Rate of commission exceeding $100000 = 6%

Let the selling price of house be 'x'.

According to question,

$\dfrac{6}{100}\times x=540\\\\0.06x=540\\\\x=\dfrac{540}{0.06}\\\\x=\$9000$

Hence, the actual price of house sold at

$100000+$9000=$109000.

3 0

3 years ago