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3 years ago

URGENT WILL MARK BRAINLIEST

Mathematics

1 answer:

allochka39001 [22]3 years ago

5 0

Explanation:

Draw altitude AD to segment BC such that point D is on BC. This creates right triangles ADB and ADC.

Hypotenuses AB and AC are given as congruent. Leg AD in each triangle is congruent to itself by the reflexive property of congruence.

Then the triangles ADB and ADC are congruent by the HL congruence theorem.

Angles B and C are corresponding parts of congruent triangles, so are congruent by CPCTC.

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Sam drinks water at an incredible rate. She drinks 2 1/5 liters of water every 3/4 of an hour. Sam drinks water at a constant ra

lora16 [44]

Answer:

2.9 litres

2 14/15 litres

Step-by-step explanation:

To determine the amount of water Sam drinks in an hour, divide the total amount drunk by the number of hours

Amount drank in an hour = total litres drunk / time

$2\frac{1}{5}$ ÷ $\frac{3}{4}$

$\frac{11}{5}$ × $\frac{4}{3}$ = $\frac{44}{15}$ = 2 $\frac{14}{15}$ litres

7 0

3 years ago

What is the domain of g

irakobra [83]

Answer:

We conclude that the set of numbers x satisfying -7 ≤ x ≤ 4 is an interval that contains -7, 4, and all numbers in between.

Thus, the domain of g is: -7 ≤ x ≤ 4

Step-by-step explanation:

We know that the domain of a function is the set of inputs or argument values for which the function is defined.

From the given graph, it is cleared that the function g starts from the x-value x = -7 and ends at x = 4.

It means the function is defined for the set of input values from x = -7 to x = 5 for which the function is defined.

Therefore, we conclude that the set of numbers x satisfying -7 ≤ x ≤ 4 is an interval that contains -7, 4, and all numbers in between.

Thus, the domain of g is: -7 ≤ x ≤ 4

4 0

3 years ago

2. In your own words, explain HOW to find the standard deviation of this data set. (20 points) 3. What does the standard deviati

Ket [755]

Answer:

$\sigma = 11.28$ --- Standard deviation

Step-by-step explanation:

Given

See attachment for graph

Solving (a): Explain how the standard deviation is calculated.

Start by calculating the mean

To do this, we divide the sum of the products of grade and number of students by the total number of students;

i.e.

$\bar x = \frac{\sum fx}{\sum f}$

So, we have:

$\bar x = \frac{50 * 1 + 57 * 2 + 60 * 4 + 65 * 3 +72 *3 + 75 * 12 + 77 * 10 + 81 * 6 + 83 * 6 + 88 * 9 + 90 * 12 + 92 * 12 +95 * 2 + 99 * 4 + 100 * 5}{1 + 2 + 4 + 3 +3 + 12 + 10 + 6 + 6 + 9 + 12 + 12 +2 + 4 + 5}$

$\bar x = \frac{7531}{91}$

$\bar x = 82.76$

Next, calculate the variance using the following formula:

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

i.e subtract the mean from each dataset; take the squares; add up the squares; then divide the sum by the number of dataset

So, we have:

$\sigma^2 = \frac{1 * (50 - 82.76)^2 +...................+ 5 * (100 - 82.76)^2}{91}$

$\sigma^2 = \frac{11580.6816}{91}$

$\sigma^2 = 127.26$

Lastly, take the square root of the variance to get the standard deviation

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

$\sigma = \sqrt{127.26}$

$\sigma = 11.28$ --- approximated

Hence, the standard deviation is approximately 11.28

Considering the calculated mean (i.e. 82.76), the standard deviation (i.e. 11.28) is small and this means that the grade of the students are close to the average grade.