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4 years ago

The sum of the area of two circles is 80pi square meters

Mathematics

2 answers:

lana66690 [7]4 years ago

8 0

Radii are 4m & 8m

Hope I helped! ( Smiles )

trasher [3.6K]4 years ago

8 0

Answer:

Step-by-step explanation:

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The U.S. Post Office is interested in estimating the mean weight of packages shipped using the overnight service. They plan to s

pshichka [43]

Answer: A. Approximately 0.017 pounds

Step-by-step explanation:

Formula to find the margin of error :

$E=z^*\dfrac{s}{\sqrt{n}}$ , where z* = critical value for confidence interval , s= standard deviation , n= sample size.

As per given , we have

s= 0.15 pound

n= 300

Critical value for 95% confidence = 1.96

Then, Margin of error for 9%% confidence interval will be :

$E=(1.96)\dfrac{0.15}{\sqrt{300}}\\\\=0.0169740979142\approx0.017$

Hence, they can expect a margin error of 0.017 pound (approximately.)

Thus , the correct answer is A. Approximately 0.017 pounds

5 0

3 years ago

The ratio of 14C to 12C in living organisms is 1.3 × 10-12. The fossilized remains of an organism are discovered and the ratio o

soldi70 [24.7K]

Answer:

t = 8588 years

Step-by-step explanation:

From the given information:

Using the formula:

$k = \dfrac{In (2)}{t_{1/2}}$

Given that:

$t_{1/2}$ = 5730 years

Then:

$k = \dfrac{In (2)}{5730}$

$k = \dfrac{0.6931472}{5730}$

k = 1.20968 × 10⁻⁴

However; the expression to find the value of x is:

$x= x_oe^{-kt}$

$4.6 \times 10^{-13} = 1.3 \times 10^{-12} \times e^{(-1.20968\times 10^{-4} \times t)}$

$\dfrac{4.6 \times 10^{-13} }{1.3 \times 10^{-12}}= e^{(-1.20968\times 10^{-4} \times t)}$

$0.353846= e^{(-1.20968\times 10^{-4} \times t)}$

(-1.20968 × 10⁻⁴ × t) = In(0.353846)

(-1.20968 × 10⁻⁴ × t) = -1.03889

$t = \dfrac{-1.03889}{-1.20968 \times 10^{-4}}$

t = 8588 years

8 0

3 years ago

yellow cab taxi charges a $1.75 flat rate in addition to $0.65 per mile. you have no more than $10 to spend on the taxi ride. wh

I am Lyosha [343]

Answer:

it's 1.75 + 0.65m < 10

Step-by-step explanation:

first you need to add 1.75 with 0.65 you will get 2.4. 10 is greater than 2.4

7 0

3 years ago

What is the slope of the line????

Lisa [10]

Y= -4/5x -1.5

I believe this right!

5 0

3 years ago

3. Carlos cuts blue parallelograms and larger red parallelograms to use in his decoupage. He realizes the parallelograms are sim

swat32

Answer:

The area of the larger parallelogram is $180\ cm^{2}$

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is the scale factor

Let

z------> the scale factor

$z=\frac{24}{16}=1.5$

step 2

Find the area of the larger parallelogram

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z------> the scale factor

x------> the area of the larger parallelogram

y-------> the area of the smaller parallelogram

$z^{2}=\frac{x}{y}$

we have

$z=1.5$

$y=80\ cm^{2}$

substitute the values

$1.5^{2}=\frac{x}{80}$

$x=80*(1.5^{2})=180\ cm^{2}$

8 0

3 years ago