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Vera_Pavlovna [14]

3 years ago

14

due today! The price of an ice cream cone is $2.75. You buy one for yourself and another for your little brother. How much sales

tax will you pay? The sales tax rate is 7.5% How much sales tax will you pay?

1 answer:

kotegsom [21]3 years ago

8 0

Answer:

$0.41

Step-by-step explanation:

1 ice cream cone: $2.75

2 ice cream cones: 2 * $2.75 = $5.50

7.5% of $5.50 =

= 0.075 * $5.50

= $0.4125

Answer: $0.41

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slega [8]

The correct answer is x=4.

5 0

3 years ago

According to an article, 47% of adults have experienced a breakup at least once during the last 10 years. Of 9 randomly select

In-s [12.5K]

Answer:

a) $P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

b) $P(X=0)=(9C0)(0.47)^0 (1-0.47)^{9-0}=0.0033$

And replacing we got:

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

c) $P(X=4)=(9C4)(0.47)^4 (1-0.47)^{9-4}=0.257$

$P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

$P(X=6)=(9C6)(0.47)^6 (1-0.47)^{9-6}=0.135$

And adding we got:

$P(4 \leq X \leq 6)= 0.257+0.228+0.135=0.620$

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".

Solution to the problem

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

$X \sim Binom(n=9, p=0.47)$

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:

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

Assuming the following questions:

a. exactly five

For this case we can use the probability mass function and we got:

$P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

b. at least one

For this case we want this probability:

$P(X \geq 1)$

And we can use the complement rule and we got:

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

$P(X=0)=(9C0)(0.47)^0 (1-0.47)^{9-0}=0.0033$

And replacing we got:

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

c. between four and six, inclusive.

For this case we want this probability:

$P(4 \leq X \leq 6)$

$P(X=4)=(9C4)(0.47)^4 (1-0.47)^{9-4}=0.257$

$P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

$P(X=6)=(9C6)(0.47)^6 (1-0.47)^{9-6}=0.135$

And adding we got:

$P(4 \leq X \leq 6)= 0.257+0.228+0.135=0.620$

6 0

4 years ago

Please help with this

klemol [59]

Answer:

(h+k)(2)=4+1+2-2=5

(h-k)(3)=9+1-3-2=3+1-1=9

3h2+2k3=3*5+2=17

7 0

3 years ago

Rani has a stamp collection which consists of Indian stamps and foreign stamps. The ratio of

Lostsunrise [7]

Answer:

2/9

Step-by-step explanation:

2 + 7 = 9

There are two Indian stamps, and the total is 9 stamps.

8 0

4 years ago

a dollhuse has a bed with diemesions 1/12 size of a queen size bed has an area of 4,800 square inches, and a length of 80 inches

aliina [53]

Divid to get the other side :) so if the doll house is 1/12 of the queen size bed you divid each side by 12 see. 4800/80=60. 80/12=6.6667.... so 60/12=5. so then 5x6 1/3. hope this helps you ... goood luck! :)

3 0

3 years ago

Read 2 more answers