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3 years ago

What is 1/2+1/3+1/6+1/2+1/8+1/4

Mathematics

2 answers:

Harrizon [31]3 years ago

4 0

The answer is 90/80 which can be simplified to 1 42/48 or 1 21/24

ale4655 [162]3 years ago

3 0

Answer:

1 7/8

Step-by-step explanation:

1/2 + 1/3 + 1/6 + 1/2 + 1/8 + 1/4

convert to the common denominator, which is 24

12/24 + 8/24 + 4/24 + 12/24 + 3/24 + 6/24

simplify

1 21/24

reduce (divide the numerator and the denominator by 3)

1 7/8

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The 6th term of an Arithmetic Progression is 17 and the 13th term is 38. Determine the 19th term

Sonja [21]

Answer:

Step-by-step explanation:

The n th term of an AP is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₆ = 17 and a₁₃ = 38, then

a₁ + 5d = 17 → (1)

a₁ + 12d = 38 → (2)

Subtract (1) from (2) term by term to eliminate a₁

7d = 21 ( divide both sides by 7 )

d = 3

Substitute d = 3 into (1) and evaluate for a₁

a₁ + 5(3) = 17

a₁ + 15 = 17 ( subtract 15 from both sides )

a₁ = 2

Thus

$a_{19}$ = 2 + (18 × 3) = 2 + 54 = 56

4 0

4 years ago

brines kitchen has an area of 81 square feet. The kitchen is 9 times as many square feet as brinns pantry. If the pantry is 3 fe

Viefleur [7K]

Length would be 243, might want to read the other responses not sure if the answer is right

3 0

4 years ago

Southwest Co-op produces bags of fertilizer, and it is concerned about impurity content. It is believed that the weights of impu

Harman [31]

Answer:

a) 0.216

b) 0.1587

c) 0.369

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 12.2 grams

Standard Deviation, σ = 2.8 grams

We are given that the distribution of weights of impurities per bag is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(contains less than 10 grams of impurities)

P(x < 10)

$P( x < 10) = P( z < \displaystyle\frac{10 - 12.2}{2.8}) = P(z < -0.7857)$

Calculation the value from standard normal z table, we have,

$P(x < 10) =0.216= 21.6\%$

b) P(contains more than 15 grams of impurities)

P(x > 15)

$P( x > 15) = P( z > \displaystyle\frac{15 - 12.2}{2.8}) = P(z > 1)$

$= 1 - P(z \leq 1)$

Calculation the value from standard normal z table, we have,

$P(x > 610) = 1 - 0.8413 = 0.1587 = 15.87\%$

c) P(contains between 12 and 15 grams of impurities)

$P(12 \leq x \leq 15) = P(\displaystyle\frac{12 - 12.2}{2.8} \leq z \leq \displaystyle\frac{15-12.2}{2.8}) \\\\= P(-0.0714 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -0.0714)\\= 0.841 - 0.472 = 0.369 = 36.9\%$

$P(12 \leq x \leq 15) = 36.9%$

d) The mean divide the data in exactly two parts. Since 15 is farther away from the mean as compared to 10, the probability obtained in part (b) is smaller as compared to probability obtained in part (a).

5 0

4 years ago

How do I find the domain?

chubhunter [2.5K]

Domain is the set of numbers you can use for the equaiton

remember you can't divide by zero, or take the squaer root of a negtive number (we don't have sqrts in this quesiton so don't worry about last one)

so you can't divide by 0
domain =all real number except those that make divide by zero

where is that?
x-1=0
x=1

when x=1, we can't allw that

domain=all real numbers except 1

7 0

3 years ago

Find the gcf for the list. 28y4, 20y3

blagie [28]

GCF of 28y^4 and 20y^3 is 4y^3

3 0

3 years ago