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Brrunno [24]
3 years ago
10

a gift wrapping store has 8 shapes of boxes, types of wrapping paper, and 12 different bows. How many different gift-wrapping op

tions are available at this store?
Mathematics
2 answers:
Norma-Jean [14]3 years ago
8 0

Answer:

768

Step-by-step explanation:

8 boxes* 8 paper * 12 bows

768 different combinations

blondinia [14]3 years ago
5 0

Answer:

This sum is related to fundamental principal of counting which states that if one thing is happen in m different ways and other thing happen in n ways, Then both thing will happen in mn ways. We shall use its generalised form.

In given sum, Number of shapes of boxes=8

Number of types of wrapping papers=14

Number of different bows=12

As gift wrapping includes three items Therefore by fundamental principal of counting, number of different gift wrapping option =8×14×12= 1344

Step-by-step explanation:

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Solve:<br> |3x+ 2| &gt; 14<br><br> show work
navik [9.2K]

Answer:

x < -16/3 or x > 4

Step-by-step explanation:

This is split into two inequalities: 3x + 2 > 14 and -(3x + 2) > 14.

3x + 2 > 14

3x > 12

x > 4

-(3x + 2) > 14

3x + 2 < -14

3x < -16

x < -16/3

5 0
3 years ago
If 4b-3=2b, then 12b=
Andru [333]
Hi there! The answer is 18.

First we need to solve the first equation for b.
4b - 3 = 2b

Subtract 2b from both sides.
2b - 3 = 0

Add 3 to both sides.
2b = 3

Divide both sides by 2.
b = \frac{3}{2} = 1 \frac{1}{2}

Now we can plug our value of b into the second expression.
12b = 12 \times 1 \frac{1}{2} = 18
6 0
4 years ago
Suppose your school is selling magazine subscriptions. Each subscription costs 20$. The company pays the school half the total s
zalisa [80]

Answer: 22

Step-by-step explanation:

One subscription costs $20, we can say x number of subscriptions will cost 20x.

<em>(Eg. 1 subscription is $20, 2 subscriptions will be $40, 3 subscriptions will be $60 and so on.)</em>

The school receives half of the total sales. That means if the total sales is 20x, the school will receive:  \frac{20x}{2}

The school will have to pay $18 once, that means: \frac{20x}{2} -18 is the net amount the school will receive.

This amount must be greater than or equals to $200, we can convert this statement in an equation: \frac{20x}{2} -18 ≥ 200

We solve this inequality. Remember, when solving the inequality you treat the sign similar to an equals to sign. That means all operations <em>(subtraction, addition, change of sign are according to the same rules.)</em>

\frac{20x}{2} -18 ≥ 200

<em>(solve the fraction first)</em>

10x-18 ≥ 200

10x ≥ 200+18 <em>(bring 18 to the other side of the inequality, hence sign change)</em>

10x ≥ 218

x ≥ 218/10 <em>(divide the entire inequality by 10)</em>

x ≥ 21.8

Number of subscriptions will always be a whole number. Hence the lowest possible whole number that satisfies the inequality is 22.

3 0
3 years ago
A hotel installs smoke detectors with adjustable sensitivity in all public guest rooms. (a) State the null and alternative hypot
Lana71 [14]

Answer:

(a) <em>H₀</em>: There is no fire vs. <em>Hₐ</em>: There is a fire.

(b) A type I error occurs when we discard a true null hypothesis (<em>H₀</em>) and a type II error is made when we fail to discard a false null hypothesis (<em>H₀</em>).

(c) In this case, type II error has the more severe consequences.

Step-by-step explanation:

It is provided that a hotel installs smoke detectors with adjustable sensitivity in all public guest rooms.

(a)

The hypothesis can be defined as follows:

<em>H₀</em>: There is no fire.

<em>Hₐ</em>: There is a fire.

(b)

A type I error occurs when we discard a true null hypothesis (<em>H₀</em>) and a type II error is made when we fail to discard a false null hypothesis (<em>H₀</em>).

In this case a type I error will be committed if we conclude that there is a fire and the smoke detector sounds an alarm, when in fact there is no fire.

In this case a type II error will be committed if we conclude that there is no fire and the smoke detector does not sounds an alarm, when in fact there is a fire.

(c)

In this case, type II error has the more severe consequences.

Concluding that there is no fire as the smoke detector did not sound an alarm, when in fact there is a fire, will cause casualties and is harmful for the health of the guests.

Guests would not be alert about the fire as there was not any alarm, and many may loose their lives because of this.

7 0
3 years ago
HELP ME PLEASE WOULD MEAN SOO MUCH
Vlad [161]

Answer:

Given that an image attached with this prove.


1. AD = AB, CD=CB 1. Given

2. OD = OB 2. By definition, the diagonal connecting vertec angles bisects the other diagonal

3. OA = OA 3. By reflexive property

4. triangle AOB = triangle AOD 4. By SSS congruence

5. angle AOB = angle AOD 5. By CPCTC

6. angle AOB = angle AOD = 90 6. both angles addup to 180

7. AC ⊥ DB 7. definition of right angles



Step-by-step explanation:


6 0
4 years ago
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