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2 years ago

11

While bowling with friends, Brandy rolls a strike in 4 out of 10 frames. What is the experimental probability that Brandy will r

oll a strike in the first frame of the next game? Enter your answer as a simplified fraction.

1 answer:

guajiro [1.7K]2 years ago

8 0

4/10. Or 2/5 hope it helps

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What are the solutions of the inequality (x-3)(x+5)<=0

GarryVolchara [31]

Assuming that the inequality you were going for was a ≤, set both polynomials less than or equal to 0.

x - 3 ≤ 0

x + 5 ≤ 0

For the first equation add 3 to both sides of the inequality. For the second, subtract 5 from both sides.

x ≤ 3

x ≤ - 5

These would be your solutions I guess, however, if you want to expand upon that, your actual answer is (- ∞, - 5] because if you were to plot these two inequalities on a number line, that is where the overlap would occur.

4 0

2 years ago

Find the range, variance, and standard deviation for the given sample data. Include appropriate units in the results.Listed bel

timama [110]

Answer:

D.No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.

Step-by-step explanation:

(a) Range is the difference between the smallest and largest observation.

Here Smallest observation = 0.63

and Largest observation = 1.48

⇒ Range = 0.85

(b) Standard Deviation is calculate by,

$Standard deviation(\sigma) = \sqrt{\frac{1}{n}\sum_{i=1}^{n}{(x_{i}-\bar{x})^{2}} }$

where, $\bar{x}$ is mean of the observation.

Here, Mean = 0.988

⇒ Standard Deviation = 0.313

(c) Variance is the square of Standard deviation.

Thus, Variance = (Standard Deviation)² = 0.098

(d) Here last option(D) is true i.e. No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.

8 0

2 years ago

Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (assume that

Lilit [14]

Your sequence
-8, 16/3, -32/9, 64/27
is a geometric sequence with first term -8 and common ratio
(16/3)/(-8) = (-32/9)/(16/3) = -2/3

The general term an of a geometric sequence with first term a1 and ratio r is given by
an = a1·r^(n-1)
For your sequence, this is
an = -8·(-2/3)^(n-1)

6 0

3 years ago

10x+20=7x-8<br><br> Solve for x.

Kazeer [188]

Step-by-step explanation:

Isolate the variable

10x - 7x = -20 - 8

3x = -28

x = -9.333333333333

5 0

2 years ago

What is the effect on the graph of the function f(x) = 2^x when f(x) is replaced with f(x − 3)?

mel-nik [20]

Graph of f(x-3) is compressed by a factor of $\frac{1}{8}$ horizontally of f(x).

<u>Step-by-step explanation:</u>

We have, the graph of f(x)= $2^{x}$ , on replacing f(x) by f(x-3) we get:

$f(x-3)$ = $2^{x-3} = \frac{2^{x}}{2^{3}} = \frac{1}{8} 2^{x} = \frac{1}{8} f(x)$ .Below shown are the images for graph of f(x) and f(x-3). Both are functions are exponential , and so having exponential graph but f(x-3) is compressed by a factor of $\frac{1}{8}$ horizontally . Domain and range of both functions are same i.e. F(x) & f(x-3) domain & range are same , just difference in graph : $f(x-3) = \frac{1}{8} f(x)$ .

4 0

2 years ago