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3 years ago

Find the exact circumference of a circle with the given radius. 5 inches C = 2.5π in. 10π in. 25π in.

1 answer:

5 0

The circumference, C, of a given circle may be calculated through the equation,

C = 2πr

where r is the radius.

Substituting the known values from the given in this item,
C = 2(π)(5 in)
<em>C = 10π in</em>

Thus, the answer is this item is the second choice.

You might be interested in

The quantity is called the pooled variance estimate of the common variance of two unknown but equal population variances. It is

lozanna [386]

Answer:

sample variances

Step-by-step explanation:

The pooled variance method is used to estimate the variance of several different population with different means, but are assume to have the same variance.

The weights represent the sample variances.

So the correct answer is

sample variances

5 0

3 years ago

You need a 35% alcohol solution. On hand, you have a 715 mL of a 20% alcohol mixture. You also have 90% alcohol mixture. How muc

asambeis [7]

Answer:

90% Solution

Step-by-step explanation:

5% of 90 + 90% of x = 75% of (90 + x)

5×90/100 + 90x/100 = 75×90/100 + 75x/100

Or 90x/100 - 75x/100 = 75×90/100 - 5×90/100

Or 15x/100 = 90×70/100

Or X = 420ml

You Will Need ML Of The 90% Solution To Obtain ML Of The Desired 75% Solution.

6 0

2 years ago

Read 2 more answers

Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally

sasho [114]

Answer:

a) $P(X$

$P(z$

b) $P(X>7.0)=P(\frac{X-\mu}{\sigma}>\frac{7-\mu}{\sigma})=P(Z1.47)$

$P(z>1.47)=1-P(z$

c) $P(3$

$P(-0.882$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the thickness of a population, and for this case we know the distribution for X is given by:

$X \sim N(4.5,1.7)$

Where $\mu=4.5$ and $\sigma=1.7$

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability using excel or the normal standard table:

$P(z$

Part b

We are interested on this probability

$P(X>3.0)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>7.0)=P(\frac{X-\mu}{\sigma}>\frac{7-\mu}{\sigma})=P(Z1.47)$

And we can find this probability using excel or the normal standard table:

$P(z>1.47)=1-P(z$

Part c

$P(3$

And we can find this probability using excel or the normal standard table liek this:

$P(-0.882$

3 0

3 years ago

Two cross roads, each of width Sm, run at right angles through the

Ray Of Light [21]

Answer:

Rs 57750

Step-by-step explanation:

width =5 m

length of first parallel road 70 m

area of first road 70×5=350 sq.m

length of second road 45 m

area of second road =45×5=225 sq.m

area of the common part of cross road with 5 m width that lies at the

center of the park 5×5 = 225 sq.m

area of roads = area of first road +area of second cross road−common area

=(350+225)−25

=575−25

=550sqm

cost of the construction per sq.m =Rs.105

total cost =550×105=Rs 57750

7 0

3 years ago

Nadusha1986 [10]

All isosceles trapezoids have congruent base angles.

Option A

<u>Explanation:</u>

An isosceles trapezoid is a convex quadrilateral with a line of symmetry bisecting one pair of opposite sides.

Properties of isosceles trapezoid:

Opposite sides of an isosceles trapezoid are the same length (congruent).
The angles on either side of the bases are the same size/measure (congruent).
The bases (both top and bottom) of an isosceles trapezoid are parallel.

Note: Refer the attached file for the image of an isosceles trapezoid.

All isosceles trapezoids come into the category of trapezoids but all trapezoids cannot be marked as isosceles. Clearly, if a trapezoid has congruent legs, it is an isosceles trapezoid.

If a trapezoid has one pair of congruent base angles, then the trapezoid is isosceles. A trapezoid is isosceles if and only if its diagonals are congruent.

In the case of quadrilaterals, if the quadrilateral is an isosceles trapezoid, then each pair of base angles are congruent.

6 0

3 years ago