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2 years ago

5

Last month, Dory biked 11 Times as many miles as Karly. Together they biked a total of 156 miles. How many more miles did Dory b

ike last month?

1 answer:

salantis [7]2 years ago

4 0

13 more miles. You can use long division.

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For quality control purposes, a company that manufactures sim chips for cell/smart phones routinely takes samples from its pro

ololo11 [35]

Answer:

There is a 22.42% probability that a sample in this size has 2 imperfections.

Step-by-step explanation:

For each chip, there are only two possible outcomes. Either they are imperfect, or they are not.

This means that we can solve this problem using binomial distribution probability concepts.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

In this problem

A success is a chip being imperfect. Suppose the average number of imperfections per 1000 sim chips is 3. So $\pi = \frac{3}{1000} = 0.003$ .

What is the probability that a sample this size (1000 chips) has 2 imperfections?

The sample has 1000 chips, wo $n = 1000$

We want P(X = 2).

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 2) = C_{1000,2}.(0.003)^{2}.(0.997)^{998} = 0.2242$

There is a 22.42% probability that a sample in this size has 2 imperfections.

7 0

2 years ago

sandy is observing the velocity of a runner at different times. After one hour, the velocity of the runner is 4 km/h. After two

Butoxors [25]

A) Let x stand for time, y stand for velocity.
We are given the points (2,50), (6, 54). We can make a line using the slope intercept form
y = mx + b.
slope is (54 - 50)/(6-2) = 4/4 = 1
y = 1x + b
plug in point (2,50) to find b
50 = 1(2) + b
50-2 = b
48 = b
the equation is y = 1x + 48
Make standard form.
<span>x - y = -48</span>

7 0

2 years ago

Based on Pythagorean identities, which equation is true? sine squared theta minus 1 = cosine squared theta secant squared theta

Naddik [55]

Answer:

$Cot^2\theta-Csc^2\theta=-1$

Step-by-step explanation:

The only Pythagorean identities are:

$1. \ Sin^2\theta+Cos^2\theta=1$

$2. \ 1+Tan^2\theta=Sec^2\theta$

$3. \ 1+Cot^2\theta=Csc^2\theta$

$4. \ Sin^2\theta=1-Cos^2\theta\\ \ \ Cos^2\theta=1-Sin^2\theta$

Therefore, $Cot^2\theta-Csc^2\theta=-1$ is correct as it's one of the pythagorean identities.

4 0

2 years ago

Read 2 more answers

(01.02 LC)Simplify 9 − (−4).

levacccp [35]

Answer:

13

Step-by-step explanation:

When we subtract a negative, it is like adding

9 - -4

9 +4

13

3 0

2 years ago

Read 2 more answers

X=a-2by(2) make y the subject

sladkih [1.3K]

Answer:

y = √{(a - x)/2b}

Step-by-step explanation:

x=a-2by²

2by² = a - x

divide through by 2b

y² = (a - x)/2b

y = √{(a - x)/2b}

3 0

2 years ago