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creativ13 [48]
3 years ago
13

Math Exit Slip: Value-Mart is having a back -to - school sale on pencils. A pack of of 20 sells for $7.97, whereas a 12-pack cos

ts $4.77. Which is the better buy?
Mathematics
1 answer:
Whitepunk [10]3 years ago
4 0

Answer: The pack of 20.

Step-by-step explanation:

It is because a pack of 20 sells for 2.50 for each pencil, and the pack of 12 sells for 2.51 per pencil, so that means the pack of 20 is cheaper.

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What is the length of side a?<br><br><br><br><br><br><br><br><br> Thank u
Anna007 [38]
Side a is 13 when using the pythagorean theorem

a^2 + b^2 = c^2
5^2 + 12^2 = c^2
25 + 144 = c^2
c^2 = 169
c = 13
4 0
2 years ago
When five is added to three more than a certain number,the result is 19.what is the number?
Assoli18 [71]
When 5 is added to 3 more then a certain number, the result is 19

x + 3 + 5 = 19
x + 8 = 19
x = 19 - 8
x = 11 <== ur number

4 0
2 years ago
Read 2 more answers
Create a binomial with a GCF (Greatest common factor of 6x^3.)
Juli2301 [7.4K]

Answer and Step-by-step explanation:

(2x^{2} )(3x)

I think this would be your answer, since it is a binomial and consists of 3, which is its greatest common factor.

I may be wrong though, so I'm sorry in advance if it is wrong.

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

3 0
2 years ago
5 - k ÷ 3/5 k = 1/4 I need this answer for my assignment
sasho [114]

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3/5*k+1/5*k-(4)=0

Step by step solution :

STEP

1

:

1

Simplify —

5

Equation at the end of step

1

:

3 1

((— • k) + (— • k)) - 4 = 0

5 5

STEP

2

:

3

Simplify —

5

Equation at the end of step

2

:

3 k

((— • k) + —) - 4 = 0

5 5

STEP

3

:

Adding fractions which have a common denominator :

3.1 Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3k + k 4k

—————— = ——

5 5

Equation at the end of step

3

:

4k

—— - 4 = 0

5

STEP

4

:

Rewriting the whole as an Equivalent Fraction :

4.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 5 as the denominator :

4 4 • 5

4 = — = —————

1 5

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

4k - (4 • 5) 4k - 20

———————————— = ———————

5 5

STEP

5

:

Pulling out like terms :

5.1 Pull out like factors :

4k - 20 = 4 • (k - 5)

Equation at the end of step

5

:

4 • (k - 5)

——————————— = 0

5

STEP

6

:

When a fraction equals zero :

6.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

4•(k-5)

——————— • 5 = 0 • 5

5

Now, on the left hand side, the 5 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

4 • (k-5) = 0

Equations which are never true:

6.2 Solve : 4 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

6.3 Solve : k-5 = 0

Add 5 to both sides of the equation :

k = 5

7 0
3 years ago
Read 2 more answers
It is known that 25% of inhabitants of a community favour a political party A.
Keith_Richards [23]

Answer:

i) P(X=2)=(20C2)(0.25)^2 (1-0.25)^{20-2}=0.0669

ii) P(X=0)=(20C0)(0.25)^0 (1-0.25)^{20-0}=0.00317

P(X=1)=(20C1)(0.25)^1 (1-0.25)^{20-1}=0.0211

P(X=2)=(20C2)(0.25)^2 (1-0.25)^{20-2}=0.0669

And replacing we got:

P(X \geq 3) = 1- [0.00317+0.0211+0.0669]= 0.90883

iii) P(X

Step-by-step explanation:

Let X the random variable of interest "number of inhabitants of a community favour a political party', on this case we now that:

X \sim Binom(n=20, p=0.25)

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 i

We want this probability:

P(X=2)=(20C2)(0.25)^2 (1-0.25)^{20-2}=0.0669

Part ii

We want this probability:

P(X\geq 3)

And we can use the complement rule and we have:

P(X\geq 3) = 1-P(X

And if we find the individual probabilites we got:

P(X=0)=(20C0)(0.25)^0 (1-0.25)^{20-0}=0.00317

P(X=1)=(20C1)(0.25)^1 (1-0.25)^{20-1}=0.0211

P(X=2)=(20C2)(0.25)^2 (1-0.25)^{20-2}=0.0669

And replacing we got:

P(X \geq 3) = 1- [0.00317+0.0211+0.0669]= 0.90883

Part iii

We want this probability:

P(X

And replacing we got:

P(X

6 0
3 years ago
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