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ser-zykov [4K]
3 years ago
12

Solve the equation 11(5c-1)-18=53c+11​

Mathematics
2 answers:
Gwar [14]3 years ago
7 0

Answer:

c = 20

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Genrish500 [490]3 years ago
7 0

Answer:

11•5c-11-18=53c+11

55c-53c=11+11+18

2c=40

c=20

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kkurt [141]

Answer:

Part A: A  

Part B: A

Step-by-step explanation:

1)

the inequality should be less than or equal to, since we need to find how many are left

now, the answer B is wrong, since there can't be negative 56, since Xander collected some cans, though he still must collect a few

thus, the answer is A

2)

A again is correct, since it represents:c ≤ 56

B represents c ≥ 56

C represents c ≤ –56

D represents c ≥ -56

3 0
4 years ago
A study was conducted to investigate the relationship between maternal smoking during pregnancy and the presence of congenital m
Pachacha [2.7K]

Answer:

a) In the explanation.

b) P=0.09714

c) P=0.0866

d) p=0.208

Step-by-step explanation:

a) The sampling distribution will have this properties:

1 - The sampling distribution of a proportion is equal to the binomial distribution.

2 - The mean of the sampling distribution will be equal to the proportion of the population (0.328).

\mu=\pi=0.328

3 - The standard deviation will be equal to the square root of the product of the proportion and its complementary, divided by the sample size.

\sigma_s=\sqrt{\pi(1-\pi)/n}=\sqrt{0.328*(1-0.328)/25}=0.094

B) The fraction with sample proportion of 0.45 or higher is

z=(p-\pi)/\sigma=(0.45-0.328)/0.094=1.298\\\\P(p\geq0.45)=P(z\geq 1.298)=0.09714

C) The fraction with sample proportion of 0.20 or lower is

z=(p-\pi)/\sigma=(0.2-0.328)/0.094=-1.362\\\\P(p\leq0.2)=P(z\geq -1.362)=0.0866

D) The value of p that cuts off the lower 10% of the distribution corresponds to z=-1.28.

Then we have

z=(p-\pi)/\sigma\\\\p=\pi+z\sigma=0.328+(-1.28)*0.094=0.328-0.120=0.208

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3 years ago
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The simplest multicecullar organism is alga
7 0
4 years ago
Need 7 liters of paint how many gallons will i need
Marizza181 [45]

Answer:

1.85 gallons

Step-by-step explanation:

1 gallon = 3.785 liters

(7 liters)/(3.785 liters/gallon) = 1.85 gallons

6 0
3 years ago
Read 2 more answers
What is the equation of a line perpendicular to y-12=2x-3 that passes through the point (2, 3)?
scoray [572]

Answer:

y = - \frac{1}{2} x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y - 12 = 2x - 3 ( add 12 to both sides )

y = 2x + 9 ← in slope- intercept form

with slope m = 2

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{2}, thus

y = - \frac{1}{2} x + c ← is the partial equation

To find c substitute (2, 3) into the partial equation

3 = - 1 + c ⇒ c = 3 + 1 = 4

y = - \frac{1}{2} x + 4 ← equation of perpendicular line

6 0
3 years ago
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