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Kisachek [45]
3 years ago
15

You are to act as a business owner and create a flyer to advertise one single item. As a student you will calculate how much the

item will cost to a customer including the sales tax given a sales tax rate of 7%
Mathematics
1 answer:
mariarad [96]3 years ago
8 0
To find the total including tax, multiply the price of the item times 1.07. For example if the item is $1, the total with tax will be $1 x 1.07 or $1.07, which is the same as $1 for the item plus the tax of 7% x $1, or .07 x $1, which is $.07.

If the item is $10, the total with tax will be $10 x 1.07 or $10.70 which is the same as $10 plus tax of ($10 x .07), which equals .70. $10 + .7 = $10.70
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The newly elected president needs to decide the remaining 5 spots available in the cabinet he/she is appointing. If there are 15
skad [1K]

Answer: There are 360360 ways to appoint the members of the cabinet.

Step-by-step explanation:

Since we have given that

Number of eligible candidates = 15

Number of spots available = 5

We need to find the number of different ways the members can be appointed where rank matters

For this we will use "Permutations":

So, the required number of different ways in choosing the members for appointment is given by

^{15}P_5=360360

Hence, there are 360360 ways to appoint the members of the cabinet.

7 0
3 years ago
Chipper had 189 hits in 572 at bats calculate chippers batting average for season by dividing the number if hits by the number o
lord [1]

Answer:

0.330

Step-by-step explanation:

Divide the number of hits (189) by the number of bats (572)

189/572=0.330

8 0
3 years ago
a homework assignment included 40 multiple choice questions Sabrina completed 65% of her assignment in David completed 4/5 of hi
bazaltina [42]

Answer:

6 or -6

Step-by-step explanation:

  1. 65% of 40=26
  2. 4/5 of 40=32
  3. 32-26=6
  4. (or if you start with 26)
  5. 26-32=-6
7 0
2 years ago
Read 2 more answers
Integral <br><img src="https://tex.z-dn.net/?f=x%5E%7B3%7D%20%20-%207x%5E%7B2%7D%20%2B%205x%20%2B%2040%20%5Cdiv%20x%5E%7B2%7D%20
solong [7]

Answer:

ext^{4}-7x^{2}+3x+401dvx^{2}i-8ext

Step-by-step explanation:

6 0
3 years ago
The U.S. government has devoted considerable funding to missile defense research over the past 20 years. The latest development
Bad White [126]

Answer:

a) Let the random variable X= "number of these tracks where SBIRS detects the object." in order to use the binomial probability distribution we need to satisfy some conditions:

1) Independence between the trials (satisfied)

2) A value of n fixed , for this case is 20 (satisfied)

3) Probability of success p =0.2 fixed (Satisfied)

So then we have all the conditions and we can assume that:

X \sim Bin(n =20, p=0.8)

b) X \sim Bin(n =20, p=0.8)

c) P(X=15)=(20C15)(0.8)^{15} (1-0.8)^{20-15}=0.17456

d) P(X \geq 15) = P(X=15)+ .....+P(X=20)

P(X=15)=(20C15)(0.8)^{15} (1-0.8)^{20-15}=0.17456

P(X=16)=(20C16)(0.8)^{16} (1-0.8)^{20-16}=0.218

P(X=17)=(20C17)(0.8)^{17} (1-0.8)^{20-17}=0.205

P(X=18)=(20C18)(0.8)^{18} (1-0.8)^{20-18}=0.137

P(X=19)=(20C19)(0.8)^{19} (1-0.8)^{20-19}=0.058

P(X=20)=(20C20)(0.8)^{20} (1-0.8)^{20-20}=0.012

P(X\geq 15)=0.804208

e) E(X) = np = 20*0.8 = 16

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".

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!}

Part a

Let the random variable X= "number of these tracks where SBIRS detects the object." in order to use the binomial probability distribution we need to satisfy some conditions:

1) Independence between the trials (satisfied)

2) A value of n fixed , for this case is 20 (satisfied)

3) Probability of success p =0.2 fixed (Satisfied)

So then we have all the conditions and we can assume that:

X \sim Bin(n =20, p=0.8)

Part b

X \sim Bin(n =20, p=0.8)

Part c

For this case we just need to replace into the mass function and we got:

P(X=15)=(20C15)(0.8)^{15} (1-0.8)^{20-15}=0.17456

Part d

For this case we want this probability: P(X\geq 15)

And we can solve this using the complement rule:

P(X \geq 15) = P(X=15)+ .....+P(X=20)

P(X=15)=(20C15)(0.8)^{15} (1-0.8)^{20-15}=0.17456

P(X=16)=(20C16)(0.8)^{16} (1-0.8)^{20-16}=0.218

P(X=17)=(20C17)(0.8)^{17} (1-0.8)^{20-17}=0.205

P(X=18)=(20C18)(0.8)^{18} (1-0.8)^{20-18}=0.137

P(X=19)=(20C19)(0.8)^{19} (1-0.8)^{20-19}=0.058

P(X=20)=(20C20)(0.8)^{20} (1-0.8)^{20-20}=0.012

P(X\geq 15)=0.804208

Part e

The expected value is given by:

E(X) = np = 20*0.8 = 16

5 0
3 years ago
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