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2 years ago

What is the inequality 4x-7<5

Mathematics

2 answers:

Grace [21]2 years ago

8 0

Answer:

x < 3

Step-by-step explanation:

$4x-7 < 5\\4x-7+7 < 5+7\\4x < 12\\\frac{4x}{4} < \frac{12}{4}\\x < 3$

poizon [28]2 years ago

6 0

Answer:

x<3

Step-by-step explanation:

4x-7<5

4x<12

x<3

Hope this helps!

If not, I am sorry.

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You go to the store and grab a candy bar that costs $2. However, when you get to the cashier, you see that you are being charged

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The reason that there is an extra 14 cents being charged is simply because of tax

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3 years ago

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There are 210210210 students in a twelfth grade high school class. 909090 of these students have at least one sister and 1051051

BlackZzzverrR [31]

Answer:

(1) The value of P (A) is 0.4286.

(2) The value of P (B) is 0.50.

(3) The value of P (A ∩ B) is 0.2143.

(4) The the value of P (B|A) is 0.50.

(5) The events A and B are independent.

Step-by-step explanation:

The events are defined as follows:

A = a student in the class has a sister

B = a student has a brother

The information provided is:

N = 210

n (A) = 90

n (B) = 105

n (A ∩ B) = 45

The probability of an event E is the ratio of the favorable number of outcomes to the total number of outcomes.

$P(E)=\frac{n(E)}{N}$

The conditional probability of an event X provided that another event Y has already occurred is:

$P(X|Y)=\frac{P(A\cap Y)}{P(Y)}$

If the events X and Y are independent then,

$P(X|Y)=P(X)$

(1)

Compute the probability of event A as follows:

$P(A)=\frac{n(A)}{N}\\\\=\frac{90}{210}\\\\=0.4286$

The value of P (A) is 0.4286.

(2)

Compute the probability of event B as follows:

$P(B)=\frac{n(B)}{N}\\\\=\frac{105}{210}\\\\=0.50$

The value of P (B) is 0.50.

(3)

Compute the probability of event A and B as follows:

$P(A\cap B)=\frac{n(A\cap B)}{N}\\\\=\frac{45}{210}\\\\=0.2143$

The value of P (A ∩ B) is 0.2143.

(4)

Compute the probability of B given A as follows:

$P(B|A)=\frac{P(A\cap B)}{P(A)}\\\\=\frac{0.2143}{0.4286}\\\\=0.50$

The the value of P (B|A) is 0.50.

(5)

The value of P (B|A) = 0.50 = P (B).

Thus, the events A and B are independent.

6 0

3 years ago

The Bridal Shop bought a dress from a supplier for $105 wholesale and applied a 65% markup to the price. If a 7.5% sales tax wer

Novay_Z [31]

Answer:

The correct answer is 149.00.

Step-by-step explanation:

Part = Percent • Whole

Adding a 65% markup to the original price of 105 is simply multiplying the price by the decimal form of the markup, then adding that to the original price. Next, you would find 20% of your sum by multiplying the sum by 0.20. Then you would find 7.5% of that and add this to the price.

Solve:

105 • 0.65 = 68.25 Find 65% of 105

105 + 68.25 = 173.25 Add the markup to the price

173.25 • 0.20 = 34.65 Find the discount of the new price

173.25 - 34.65 = 138.60 Subtract discount from price

138.60 • 0.075 = 10.395 Find sales tax of new price (Or round to 10.40)

138.60 + 10.395 = 148.995 Add sales tax to new price (Or 149)

Because money only goes to the hundredths place, we can either start rounding to that place in the second to last step - rounding 10.395 to 10.40 - or we can round our answer - 148.995 rounds to 149. Either way, we will still get an answer of $149.00.

Hope this helps.

♥A.W.E.S.W.A.N.♥

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