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3 years ago

Helppp meeeeeeeeeeeeeee

Mathematics

1 answer:

Leni [432]3 years ago

5 0

Measuring the figure with a ruler, length = 2 inch and width = 1.5 inch

It is given that 1/2 inch = 4 feet

1 inch = 4*2 = 8 feet

Area of rectangle = length * width

Length = 2*8 = 16 feet

Width = 1.5*8 = 12 feet

Area of Quintoe's bedroom = 16 feet * 12 feet = $192 feet^2$

Hence option C is correct.

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Click here What is the average rate of change for this exponential function for the interval from x=2 to x = 4? 15 10 -5 5 10 O

Triss [41]

Answer:

c. 6

Step-by-step explanation:

Given

See attachment for graph

Required

Average rate of change

This is calculated as:

$Rate = \frac{f(b) - f(a)}{b - a}$

Where

$(a,b) = (2,4)$

So, we have:

$Rate = \frac{f(4) - f(2)}{4 - 2}$

$Rate = \frac{f(4) - f(2)}{2}$

Using the attached graph, we have:

$f(2) = 4$

$f(4) = 16$

So, we have:

$Rate = \frac{16- 4}{2}$

$Rate = \frac{12}{2}$

$Rate = 6$

4 0

3 years ago

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

DerKrebs [107]

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).

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

8 0

3 years ago

Apply the laws of exponents, calculate the result and express the result in scientific notation, and as a decimal: (8.1*10^-4)^2

AfilCa [17]

<h3>Answer:</h3>

the result in scientific notation is 6.561×10⁻⁷
the result as a decimal is 0.000 000 656 1

<h3>Explanation:</h3>

The rules of exponents say the exponent outside parentheses applies to each factor inside parentheses.

... (8.1*10^-4)^2 = 8.1^2 × (10^-4)^2

... = 65.61 × 10^-8

... = 6.561 × 10^-7 . . . . adjust to scientific notation with one digit left of the decimal point

The exponent of -7 means the decimal point in the decimal number is 7 places to the left of where it is in scientific notation. That is ...

... 6.561 × 10^-7 = 0.0000006561

4 0

3 years ago

The figure is a circle with center O.

STatiana [176]

<u>Given</u>:

Given that the circle with center O.

The radius of the circle is OB.

The chord of the circle O is PQ and the length of PQ is 12 cm.

We need to determine the length of the segment PA.

<u>Length of the segment PA:</u>

We know that, "if a radius is perpendicular to the chord, then it bisects the chord and its arc".

Thus, we have;

$PA=\frac{PQ}{2}$

Substituting the value PQ = 12, we get;

$PA=\frac{12}{2}$

$PA=6 \ cm$

Thus, the length of the segment PA is 6 cm.

Hence, Option d is the correct answer.

3 0

2 years ago

May I get some help?

Anarel [89]

Answer:

4 and the correct answer is 34

Step-by-step explanation:

3 0

3 years ago

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