-7=x 59/(-9) what is the answer to this

A scientist in the lab is measuring a beetle to be 32 millimeters long, how much is that in meters?

RUDIKE [14]

32 millimeters = 0.032 meters

5 0

3 years ago

Read 2 more answers

Find the area of the circle. (Take pi 22/7

Vikki [24]

Answer:

1386cm^2.

Step-by-step explanation:

radius of circle=21cm

area of circle(a)=?

we know,

A=pi r^2

=22/7×(21)^2

=1386cm^2

6 0

2 years ago

2.10 Guessing on an exam: In a multiple choice exam, there are 6 questions and 4 choices for each question (a, b, c, d). Nancy h

ololo11 [35]

Answer:

a) $p = (3/4)^5 *(1/4) =0.0593$

b) $P(X=6) = (6C6) (0.25)^6 (1-0.25)^{6-6}= 0.000244$

c) $P(X \geq 1)$

And we can use the complement rule like this:

$P(X \geq 1) = 1-P(X$

$P(X=0) = (6C0) (0.25)^0 (1-0.25)^{6-0}= 0.17798$

And replacing we have:

$P(X \geq 1) = 1-P(X$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$

We can model the number of correct questions answered with a binomial distribution $X \sim Binom(n = 6, p = 1/4=0.25)$

Solution to the problem

Assuming the following questions:

a) the first question she gets right is the 6th question?

For this case we want the first 5 questions incorrect and the last one correct, assuming independence we have:

$p = (3/4)^5 *(1/4) =0.0593$

(b) she gets all of the questions right?

For this case we want all the questions right so then we want this:

$P(X=6) = (6C6) (0.25)^6 (1-0.25)^{6-6}= 0.000244$

(c) she gets at least one question right?

For this case we want this probability:

$P(X \geq 1)$

And we can use the complement rule like this:

$P(X \geq 1) = 1-P(X$

$P(X=0) = (6C0) (0.25)^0 (1-0.25)^{6-0}= 0.17798$

And replacing we have:

$P(X \geq 1) = 1-P(X$

7 0

2 years ago

Solution -9-8(1+4h)= -17

geniusboy [140]

Step 1. Add 9 to both sides

 $-8(1+4h)=-17+9$

Step 2. Simplify $-17+9$ to $-8$

$-8(1+4h)=-8$

Step 3. Divide both sides by $-8$

$1+4h=1$

Step 4. Cancel 1 on both sides

$4h=0$
Step 5. Divide both sides by 4

$h=0$

Done! :) Hope this helps! :)

To check $-9-8(1+4h)=-17$ follow these steps below:

Step 1. Let h = 0

$-9-8*(1+4*0)=-17$

Step 2. Simplify 4 * 0 to 0

$-9-8*(1+0)=-17$

Step 3. Simplify 1 + 0 to 1

$-9-8*1=-17$

Step 4. Simplify 8 * 1 to 8

$-9-8=-17$

Step 5. Simplify -9 -8 to -17

 $-17=-17$

Done! :)

5 0

3 years ago

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In PE class Flynt is choosing 2 members for his dodgeball team. If he can choose 2 individuals from a group of 6 classmates, how

Tatiana [17]

Answer:

C) 15

Step-by-step explanation:

Here we have to use the combination to find the number of possible combinations.

Total number of classmates (n) = 6

We are selecting 2 individuals. So r = 2.

The combination formula nCr = $\frac{n!}{r!(n-r)!}$