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3 years ago

If the diameter is 21m what is the radius? if the radius is 3.25mm what is diameter?

Mathematics

1 answer:

RoseWind [281]3 years ago

3 0

Answer:

(a)

radius=diameter/2

=21/2=10.5m

(b)

radius=diameter/2

=3.25/2=1.625mm

I would appreciate if my answer is chosen as a brainliest answer

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Find the area between the curve of y = x³ and the x-axis interval from x = 0 to x = 4.

dybincka [34]

If you are solving for y the anser is 64

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3 years ago

Which equation represent the line that passes through the points (-4,3) and (2,-12)

Lina20 [59]

I'm pretty sure it's: 5x + 2y = –14

5 0

3 years ago

Use natural logarithms to solve the equation. Round to the nearest thousandth. 3e^2x +5=27

puteri [66]

Answer:

x=0.996

Step-by-step explanation:

$3e^{2x} +5=27$

To take natural log ln , we need to get e^2x alone

Subtract 5 on both sides

$3e^{2x}=22$

Now we divide both sides by 3

$e^{2x}=\frac{22}{3}$

Now we take 'ln' on both sides

$ln(e^{2x})=ln(\frac{22}{3})$

As per log property we can move exponent 2x before ln

$(2x)ln(e)=ln(\frac{22}{3})$

The value of ln(e) = 1

$2x=ln(\frac{22}{3})$

Divide both sides by 2

$x=\frac{ln(\frac{22}{3})}{2}$

x= 0.996215082

Round to nearest thousandth

x=0.996

6 0

3 years ago

(Uniform) Suppose X follows a continuous uniform distribution from 4 to 11. (a) Write down the PDF of X. (b) Find P(X ≤ 7). Roun

love history [14]

Answer:

a) $f(x)= \frac{1}{11-4}= \frac{1}{7}, 4 \leq x \leq 11$

b) $P(X\leq 7) = F(7) = \frac{7-4}{11-4}= 0.4286$

c) $P(5 < X \leq 7)= F(7) -F(5) = \frac{7-4}{7} -\frac{5-4}{7}= 0.2857$

d) $P(X >5 | X \leq 7)$

And we can find this probability with this formula from the Bayes theorem:

$P(X >5 | X \leq 7)= \frac{P(X>5 \cap X \leq 7)}{P(X \leq 7)}= \frac{P(5$

Step-by-step explanation:

For this case we assume that the random variable X follows this distribution:

$X \sim Unif (a=4, b =11)$

Part a

The probability density function is given by the following expression:

$f(x) = \frac{1}{b-a} , a \leq x \leq b$

$f(x)= \frac{1}{11-4}= \frac{1}{7}, 4 \leq x \leq 11$

Part b

We want this probability:

$P(X \leq 7)$

And we can use the cumulative distribution function given by:

$F(x) = \frac{x-a}{b-a}= \frac{x-4}{11-4}$

And replacing we got:

$P(X\leq 7) = F(7) = \frac{7-4}{11-4}= 0.4286$

Part c

We want this probability:

$P(5 < X \leq 7)$

And we can use the CDF again and we have:

$P(5 < X \leq 7)= F(7) -F(5) = \frac{7-4}{7} -\frac{5-4}{7}= 0.2857$

Part d

We want this conditional probabilty:

$P(X >5 | X \leq 7)$

And we can find this probability with this formula from the Bayes theorem:

$P(X >5 | X \leq 7)= \frac{P(X>5 \cap X \leq 7)}{P(X \leq 7)}= \frac{P(5$

7 0

3 years ago

A set of cards contains cards numbered 1 – 8. Mrs. Jacob’s class is conducting an experiment in which a card is drawn from the p

Alchen [17]

Answer:

The best prediction for the number of times a 4 will be drawn from the pile is:

125

Step-by-step explanation:

It is given that:

A set of cards contains cards numbered 1 – 8.

So, the theoretical probability that 4 comes up is:

Ratio of Number of favorable outcome( outcome of 4) to the total umber outcome(i.e. 8 )

Hence, Theoretical Probability that 4 is drawn=1/8

Now, out of 1000 trials the best prediction of number of times 4 is drawn is:

(The probability of drawing 4)×(Number of experiments or trials)

=(1/8)×1000

=125

7 0

3 years ago