All categories

3 years ago

A certain brand of crackers costs $2.89 for 12.4 ounces.

Mathematics

1 answer:

Mashcka [7]3 years ago

4 0

Answer:

the unit rate is $0.23 per ounce.

Explain:

to fine the unit rate, you have to take the price and divide it by the weight, or whatever the other thing is.

so you would take 2.89 divided by 12.4. after dividing, you would get 0.2

You might be interested in

What weather condition does the map indicate?

Temka [501]

Answer: C) an occluded front leading to a tropical storm

Step-by-step explanation: it is occluded because the two cool and warm fronts are joined together creating a tropical storm.

3 0

3 years ago

According to government data, 20% of employed women have never been married. If 10 employed women are selected at random, what i

Ierofanga [76]

Answer:

a) $P(X=2) = (10C2) (0.2)^2 (1-0.2)^{10-2}= 0.302$

b) $P(X\leq 2) = P(X=0) + P(X=1) +P(X=2)$

$P(X=0) = (10C0) (0.2)^0 (1-0.2)^{10-0}= 0.107$

$P(X=1) = (10C1) (0.2)^1 (1-0.2)^{10-1}= 0.268$

$P(X=2) = (10C2) (0.2)^2 (1-0.2)^{10-2}= 0.302$

And replacing we got:

$P(X\leq 2) = 0.107+0.268+0.302=0.678$

c) For this case we want this probability:

$P(X\geq 8) = P(X=8) + P(X=9) +P(X=10)$

But for this case the probability of success is p =1-0.2= 0.8

We can find the individual probabilities and we got:

$P(X=8) = (10C8) (0.8)^8 (1-0.8)^{10-8} =0.302$

$P(X=9) = (10C9) (0.8)^9 (1-0.8)^{10-9} =0.268$

$P(X=10) = (10C10) (0.8)^{10} (1-0.8)^{10-10} =0.107$

And replacing we got:

$P(X \geq 8) = 0.677$

And replacing we got:

$P(X\geq 8)=0.0000779$

Step-by-step explanation:

Previous concepts

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".

Let X the random variable of interest, on this case we now that:

$X \sim Bin (n=10 ,p=0.2)$

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:

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

Solution to the problem

Let X the random variable "number of women that have never been married" , on this case we now that the distribution of the random variable is:

$X \sim Binom(n=10, p=0.2)$

Part a

We want to find this probability:

$P(X=2)$

And using the probability mass function we got:

$P(X=2) = (10C2) (0.2)^2 (1-0.2)^{10-2}= 0.302$

Part b

For this case we want this probability:

$P(X\leq 2) = P(X=0) + P(X=1) +P(X=2)$

We can find the individual probabilities and we got:

$P(X=0) = (10C0) (0.2)^0 (1-0.2)^{10-0}= 0.107$

$P(X=1) = (10C1) (0.2)^1 (1-0.2)^{10-1}= 0.268$

$P(X=2) = (10C2) (0.2)^2 (1-0.2)^{10-2}= 0.302$

And replacing we got:

$P(X\leq 2) = 0.107+0.268+0.302=0.678$

Part c

For this case we want this probability:

$P(X\geq 8) = P(X=8) + P(X=9) +P(X=10)$

But for this case the probability of success is p =1-0.2= 0.8

We can find the individual probabilities and we got:

$P(X=8) = (10C8) (0.8)^8 (1-0.8)^{10-8} =0.302$

$P(X=9) = (10C9) (0.8)^9 (1-0.8)^{10-9} =0.268$

$P(X=10) = (10C10) (0.8)^{10} (1-0.8)^{10-10} =0.107$

And replacing we got:

$P(X \geq 8) = 0.677$

3 0

3 years ago

2 What is the minimum amount of information you need in order to calculate the slope of a line?

geniusboy [140]

Answer:

y=mx+b

Step-by-step explanation:

The formula to find the slope is y=mx+b

hope this helps

7 0

3 years ago

Read 2 more answers

Chapter 1 Math Review----the test will look very similar to these questions. Make sure

Bezzdna [24]

Answer:

a. is 5

c. is 3

e. is 6

b. is 1

d. is 4

f. is 2

Step-by-step explanation:

8 0

3 years ago

Solve the math problem

Nadusha1986 [10]

<u>Answer:</u>

Below!

<u>Explanation:</u>

Exponents are small numbers that defines how many times does the base needs to multiply itself. Two exponents can also be classified in words. 'Squared' defines a number multiplying itself two times. 'Cubed' defines a number multiplying itself three times. If there is a zero as the base's exponent, this means that the result will always be 1. Now, let's solve all the problems together.

2¹ = 2
3⁵ = 3 x 3 x 3 x 3 x 3 = 243
4³ = 4 x 4 x 4 = 64
6⁴ = 6 x 6 x 6 x 6 = 1256
7⁴ = 7 x 7 x 7 x 7 = 2401
1⁶ = 1 x 1 x 1 x 1 x 1 x 1 = 1
8² = 8 x 8 = 64
2³ = 2 x 2 x 2 = 8
4⁴ = 4 x 4 x 4 x 4 = 256
10³ = 10 x 10 x 10 = 1000
12² = 12 x 12 = 144
5⁴ = 5 x 5 x 5 x 5 = 625
6² = 6 x 6 = 36
3⁶ = 3 x 3 x 3 x 3 x 3 x 3 = 729
7³ = 7 x 7 x 7 = 343
2⁴ = 2 x 2 x 2 x 2 = 16
11⁰ = 1
4³ = 4 x 4 x 4 = 64
1¹² = 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 1

Hoped this helped!

4 0

2 years ago