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4 years ago

Find the value of the given expression. 14 - 110/5

Mathematics

1 answer:

iogann1982 [59]4 years ago

7 0

Answer:

$-8$

Step-by-step explanation:

$14-\frac{110}{5}=\frac{14*5-110}{5}=\frac{70-110}{5}=\frac{-40}{5}=-8$

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A fair coin is tossed 5 times in a row. The exact probability of the coin landing heads exactly 2 times is

olchik [2.2K]

Answer: $\frac{5}{16}$

Step-by-step explanation:

Given: A fair coin is tossed 5 times in a row.

Total outcomes=2×2×2×2×2=32 [total outcomes in a coin is 2]

Let A be the event of getting heads exactly 2 times

Then the favorable outcomes= $^5C_2$

$=\frac{5!}{2!(5-2)!}=\frac{5\times4\times3!}{2!\times3!}\\=\frac{5\times4}{2}=10$

Then probablity of getting heads exactly 2 times =

$P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total outcomes}}\\\Rightarrow\ P(A)=\frac{10}{32}\\\\\Rightarrow\ P(A)=\frac{5}{16}$

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3 years ago

Read 2 more answers

What is the solution to the inequality 3-|4-n|>1? no solution all real numbers n > 2 or n < 6 2 < n < 6

Ket [755]

3-|4-n|>1
3-3 -|4-n| > 1-3
-|4-n| > -2
-|4-n|/-1 > -2/-1
|4-n| < 2
**inequality flips when dividing by a negative, absolute values give 2 answers
4-n <2
or
4-n >-2
n > 2. or. n < 6
2 < n < 6

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3 years ago

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The points , (−15,1) and , (−7,r) lie on a line with slope 5/4. Find the missing coordinate r. Click image to enlarge

Nadya [2.5K]

The missing coordinate r is 11.

Solution:

Given points are (–15, 1) and (–7, r).

$x_{1}=-15, x_{2}=-7, y_{1}=1 \text { and } y_{2}=7$

Slope (m) = $\frac{5}{4}$

<u>To find the missing coordinate r:</u>

Slope formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute the given values in the formula.

$$\frac{5}{4}=\frac{r-1}{-7-(-15)}$

$$\frac{5}{4}=\frac{r-1}{-7+15}$

$$\frac{5}{4}=\frac{r-1}{8}$

Do cross multiplication.

$8 \times 5=4(r-1)$

40 = 4r – 4

Add 4 on both side of the equation.

44 = 4r

Divide by 4 on both side of the equation.

11 = r

⇒ r = 11

Hence the missing coordinate r is 11.

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3 years ago

Which algebraic expression can be used to calculate the number of tickets fernando can buy?

pentagon [3]

Domain f(x)=1 - 5/x^4

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Are there any integers between zero and one explain

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