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3 years ago

Someone help me please

Mathematics

1 answer:

lidiya [134]3 years ago

3 0

Problem 1

<h3>Answer: 2/5</h3>

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Explanation:

There are 4 green blocks out of 4+6 = 10 total. We divide the number of green over the number total to get the answer. Reduce the fraction as much as possible. The fraction 4/10 reduces to 2/5 (we divide both parts by 2).

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Problem 2

<h3>Answer: 1/6</h3>

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Explanation:

The probability the spinner lands on red is 2/6 = 1/3. This is because there are 2 spaces that are red out of 6 total. It helps to reduce as much as possible.

The probability the coin lands on heads is 1/2 because there's 1 side labeled heads out of 2 total.

Multiply the fractions: 1/3 * 1/2 = 1/6

This works because both events are independent.

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Find the mean median mode and range for the following data 77 60 59 70 89 95

Advocard [28]

Answer:

Mean = 75

Median = 73.5

Mode = 95

Range = 36

Step-by-step explanation:

Given:

77,60,59,70,89,95

Sort:

59,60,70,77,89,95

To find:

Mean
Median
Mode
Range

Mean:

$\displaystyle \large{\dfrac{1}{n}\sum_{i =1}^n x_i = \dfrac{x_1+x_2+x_3+...+x_n}{n}}$

Sum of all data divides by amount.

$\displaystyle \large{\dfrac{59+60+70+77+89+95}{6}=\dfrac{450}{6}}\\\\\displaystyle \large{\therefore mean=75}$

Therefore, mean = 75

Median:

If it’s exact middle then that’s the median. However, if two data or values happen to be in <em>middle</em>:

$\displaystyle \large{\dfrac{x_1+x_2}{2}}$

From 59,60,70,77,89,95, since 70 and 77 are in middle:

$\displaystyle \large{\dfrac{70+77}{2} = \dfrac{147}{2}}\\\displaystyle \large{\therefore median = 73.5}$

Therefore, median = 73.5

Mode:

The highest value or/and the highest amount of data. Mode can have more than one.

From sorted data, there are no repetitive data nor same data. Consider the highest value:

Therefore, mode = 95

Range:

$\displaystyle \large{x_{max}-x_{min}}$ or highest value - lowest value

Thus:

$\displaystyle \large{95-59 = 36}$

Therefore, range = 36

7 0

2 years ago

Six sophomores and 14 freshmen are competing for two alternate positions on the debate team. Which expression represents the pro

Elanso [62]

Answer:

<em>Choose the first alternative</em>

$\displaystyle P=\frac{_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C}}{_{2}^{20}\textrm{C}}$

Step-by-step explanation:

<u>Probabilities</u>

The requested probability can be computed as the ratio between the number of ways to choose two sophomores in alternate positions $(N_s)$ and the total number of possible choices $(N_t)$ , i.e.

$\displaystyle P=\frac{N_s}{N_t}$

There are 6 sophomores and 14 freshmen to choose from each separate set. There are 20 students in total

We'll assume the positions of the selections are NOT significative, i.e. student A/student B is the same as student B/student A.

To choose 2 sophomores out of the 6 available, the first position has 6 elements to choose from, the second has now only 5

$_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C} \text{ ways to do it}$

The total number of possible choices is

$_{2}^{20}\textrm{C} \text{ ways to do it}$

The probability is then

$\boxed{\displaystyle P=\frac{_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C}}{_{2}^{20}\textrm{C}}}$

Choose the first alternative

7 0

3 years ago

Read 2 more answers

PART 1!! There’s more to it so please help me!! lesson 3.3.4 Practice: modeling: graphs of functions!

asambeis [7]

Answer:

the first cell next to 3 (time hours x) is 300

the point is (3, 300)

the second cell is 1000

the point is (10,1000)

the values for the second table should be the same if they have the same unit rate which is 100 watts per hour

Step-by-step explanation:

If there is 100 watts perhour just multiply the number of hours by this unit

5 0

3 years ago

WILL GIVE U BRAINLIEST ♡ Rationalize the denominator of fraction with numerator square root of -36 divided by (2-3i)+(3+2i)

Dmitriy789 [7]

Answer:

$- \frac{3}{13} + \frac{15i}{13}$

Step-by-step explanation:

$\frac{ \sqrt{ - 36} }{(2 - 3i) + (3 + 2i)}$

Set up equation

Step 1: Simplify

$\frac{6i}{5 - i}$

Step 2:Multiply by conjugate

$\frac{6i}{5 - i} \times \frac{5 + i}{5 + i}$

Step 3:Simplify

$\frac{30i + 6 {i}^{2} }{ {i}^{2} - 5 {}^{2} }$

We can reduce this and we must make the imaginary number and real number serpate equations.

$- \frac{6}{26} + \frac{30i}{26}$

Reduce each by 2

$- \frac{3}{13} + \frac{15i}{13}$

7 0

3 years ago

Graph: y +2=

olga_2 [115]

Answer:

see below

Step-by-step explanation:

The point-slope form of the equation of a line is ...

y -h = m(x -k)

for a line with slope m through point (h, k).

Comparing this to the given equation, you see that ...

h = -2, m = 1, k = -4

The line has a slope of 1 and goes through the point (-4, -2). This information is useful for graphing.

You can also rearrange the equation to slope-intercept form by subtracting 2 from both sides.

y = x +2

This has a slope of 1 and crosses the y-axis at y=2. It graphs the same as the above.

6 0

3 years ago