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3 years ago

13

A circle has a circumference of 6. it has an arc of length 1/3

2 answers:

Lena [83]3 years ago

5 0

Answer:

20

Step-by-step explanation:

Maksim231197 [3]3 years ago

3 0

Answer:

Ф = 10°

Step-by-step explanation:

Regarding arc length, s: s = r·Ф, where Ф is the central angle in radians and r is the radius.

We need to find the central angle, Ф, in this problem.

We know that C = circumference = 6, and that this leads to r = 6/π.

Substituting 6/π for r and 1/3 for s in Ф = s / r, we get:

Ф in radians = 1/3 / (6/π), or Ф = π/18 rad.

π 180°

Converting this into degrees, we multiply ------ by ----------

18 π rad

obtaining: Ф = 10°

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Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil.

Ierofanga [76]

Since it is stated that the machine he bought only predict about 80%. Thus, about 20% are still possible that there are oils in the land that he owned.
In a 100% value = 80% were the 0 possibillites detected by the machine and 20% are still the possibility that it has an oil.
=> 80% = 0.80
=> 20% = 0.20
In the given choices. letter B has the closest value to the 20% that we expected.
Thus, let's have B as an answer.

5 0

3 years ago

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Determine whether the source given below has the potential to create a bias in a statistical study. Washington University obtain

umka21 [38]

Answer:

B

Step-by-step explanation:

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3 years ago

Select all the points that are on the line through (0 5) and (2 8) A.(5 11) B.(5 10) C.(6 14) D.(30 50) E.(40 60)

mihalych1998 [28]

Answer:

Options C. and D. are correct.

Step-by-step explanation:

Let $(x_1,y_1)=(0,5),\,(x_2,y_2)=(2,8)$

Equation of a line is given by $y-y_1=(\frac{y_2-y_1}{x_2-x_1})(x-x_1)$

$y-5=(\frac{8-5}{2-0})(x-0)\\\\y-5=\frac{3}{2}x\\\\2y-10=3x\\3x-2y+10=0$

Put $(x,y)=(5,11)$

$3(5)-2(11)+10=15-22+10=3\neq 0$

Put $(x,y)=(5,10)$

$3(5)-2(10)+10=15-20+10=5\neq 0$

Put $(x,y)=(6,14)$

$3(6)-2(14)+10=18-28+10=0$

Put $(x,y)=(30,50)$

$3(30)-2(50)+10=90-100+10=0$

Put $(x,y)=(40,60)$

$3(40)-2(60)+10=0\\120-120+10=10\neq 0$

So, points $(6,14),\,(30,50)$ satisfy the equation $3x-2y+10=0$

Therefore,

points $(6,14),\,(30,50)$ lie on the line through $(0,5)$ and $(2,8)$

Options C. and D. are correct.

8 0

3 years ago

PLEASE HELP!!! DUE IN 10 MIN!!!

9966 [12]

Answer:

Option B

Step-by-step explanation:

Surface area of a triangular prism = Area of the triangular sides + Area of the rectangular sides

Area of the triangular sides = 2(Area of the triangular base)

= $2[\frac{1}{2}(\text{Base})(\text{Height})]$

= 10 × 12

= 120 ft²

Area of the rectangular sides = (Perimeter of the triangular side)(Height of the prism)

= (10 + 13 + 13)(15)

= 36 × 15

= 540 ft²

Surface area of the prism = 120 + 540

= 660 square feet

Option B will be the answer.

5 0

3 years ago

Use the sample data and confidence level to construct the confidence interval estimate of the population proportion p. n=500, x=

DiKsa [7]

Answer:

0.3581<x<0.4429

Step-by-step explanation:

Using the formula for calculating the confidence interval of the population proportion p expressed as:

Confidence interval = p ± Z * √p(1-p)/n

p is the population proportion = x/n

p = 200/500

p = 0.4

Z is the z-score at 95% CI = 1.96

n is the sample size = 500

Substituting the given parameters into the formula we will have;

Confidence interval = 0.4 ± 1.96 * √p(1-p)/n

Confidence interval = 0.4 ± 1.96 * √0.4(0.6)/500

Confidence interval = 0.4 ± 1.96 * √0.24/500

Confidence interval = 0.4 ± 1.96 * √0.00048

Confidence interval = 0.4 ± 1.96 * 0.0219

Confidence interval = 0.4±0.04294

Confidence interval = (0.3571, 0.4429)

Hence the confidence interval of the population mean is 0.3581<x<0.4429

5 0

3 years ago