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3 years ago

50 points and brainliest!

Mathematics

2 answers:

Rzqust [24]3 years ago

6 0

Answer:

Step-by-step explanation:

a - b = 2

$27^{1/3b} / 9^{1/2a}$ =
$(3^3)^{1/3b} / (3^2)^{1/2a}$ =
$3^{b} / 3^a$ =
$3^{b - a}$ =
$3^{-2}$ =
1/9

lora16 [44]3 years ago

3 0

Answer:

Step-by-step explanation:

$\frac{27^{1/3b}}{9^{1/2a}}$

We know that 27^(2/3) = 9. So:

= $\frac{27^{1/3b}}{27^{1/3a}}$

note: 9^(1/2a) = 9^((2/3)(1/2)(a)) = 27^(1/3a)

$= 27^{1/3b-1/3a}=27^{1/3(b-a)} = 27^{1/3(2))} = 9$

9 is the answer

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B. A 50A by 35ft residential

MariettaO [177]

Answer:

1.13 food per square feet

Step-by-step explanation:

Given

Dimension: 50ft by 35ft

Servings = 1975

Required

Determine the amount per servings

First, we calculate the area.

$Area = 50ft * 35ft$

$Area = 1750ft^2$

Next, we calculate the amount per square foot.

This is:

$Rate = \frac{Serivings}{Area}$

This gives;

$Rate = \frac{1975}{1750}$

$Rate = 1.13$

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3 years ago

A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes

hammer [34]

Answer:

a) The probability that this whole shipment will be accepted is 30%.

b) Many of the shipments with this rate of defective aspirin tablets will be rejected.

Step-by-step explanation:

We have a shipment of 3000 aspirin tablets, with a 5% rate of defects.

We select a sample of size 48 and test for defectives.

If more than one aspirin is defective, the batch is rejected.

The amount of defective aspirin tablets X can be modeled as a binomial distribution random variable, with p=0.55 and n=48

We have to calculate the probabilities that X is equal or less than 1: P(X≤1).

$P(X\leq1)=P(X=0)+P(X=1)\\\\\\P(0)=\binom{48}{0}(0.05)^0(0.95)^{48}=1*1*0.0853=0.0853\\\\\\P(1)=\binom{48}{1}(0.05)^1(0.95)^{47}=48*0.05*0.0897=0.2154\\\\\\P(X\eq1)=0.0853+0.2154=0.3007$

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3 years ago

???????????????? Help it's probably super easy btw

Deffense [45]

Points:

Quadrant I: (+, +)
Quadrant II: (-, +)
Quadrant III: (-, -)
Quadrant IV: (+, -)

Thus the point (5,4) is found in Quadrant I.

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3 years ago

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How do you do this problem?

erastovalidia [21]

Step-by-step explanation:

∫₀² x f(x²) dx

If u = x², then du = 2x dx, and ½ du = x dx.

When x = 0, u = 0. When x = 2, u = 4.

∫₀⁴ ½ f(u) du

½ (16)

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3 years ago

Two lines, A and B, are represented by the equations given below: Line A: x + y = 6 Line B: x + y = 4 Which statement is true ab

timurjin [86]

If the lines cross, there is a solution , which means that there is a y and x value which satisfies both equations.
since both the equations start with x+y they shoulddd have the same answer if they had crossed. we can tell straight away these lines do not cross because 6=/=4 6 doesnt equal 4. therefore no solution.
TIP: for the future, if they had crossed, you can use simultaneous equations to find x and y to see if they work in each equation and find a solution ( since they are straight lines there will only be 1 solution, unless they are literally the same line in which case then then they are ALWAYS on top of each other and always have the same values)

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3 years ago

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