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3 years ago

First to answers gets marked brainliest

Mathematics

1 answer:

cluponka [151]3 years ago

5 0

1/2 : the probability of getting an even number when a six-sided die is rolled.

1/6 : the probability of getting a six when a six-sided die is rolled.

1/7 : the probability of randomly picking a vanilla-scented candle from a set of 3 vanilla-scented candles, 8 rose-scented candles, and 10 lavender-scented candles.

1/8 : the probability of selecting a girl named Maria to be line leader from a class of 32 girls in which 4 students are named Maria.

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The edge of each cube used to build this rectangular prism is 13

kolbaska11 [484]

Answer:

$\frac{3}{3} * \frac{2}{3} *\frac{3}{3} =\frac{2}{3} \ in^3$

====================================================

Step-by-step explanation:

The question is missing the attached figure.

The edge of each cube used to build this rectangular prism is 1/3 inch long. Based on the attached figure.

the volume of the prism = length × height × width

length = $3 * \frac{1}{3} = \frac{3}{3}$

height = $3 * \frac{1}{3} = \frac{3}{3}$

width = $2 * \frac{1}{3}= \frac{2}{3}$

So the volume of the prism = $\frac{3}{3} *\frac{3}{3} *\frac{2}{3} =\frac{2}{3} \ in^{3}$

∴ The equation that shows the volume of the prism, in cubic inches

= $\frac{3}{3} * \frac{2}{3} *\frac{3}{3} =\frac{2}{3} \ in^3$

8 0

2 years ago

Read 2 more answers

Please help me!!!!!!

FromTheMoon [43]

Answer:

Step-by-step explanation:

4 0

3 years ago

Is the given sequence arithmetic? If so, identify the common difference. 3.2, 3.5, 3.8, 4.1, . . .

sweet [91]

3.5 - 3.2 = 3.8 - 3.5 = 4.1 - 3.8 = 0.3 (common difference)

3 0

3 years ago

Read 2 more answers

. A triangle has side lengths of 8, 7, and 14. To the nearest tenth of a degree find the measure of the angle opposite the side

4vir4ik [10]

Given:

The measure of three sides of a triangle are 8, 7 and 14.

To find:

The measure of the angle opposite the side of length 8.

Solution:

According to the Law of Cosine:

$\cos A=\dfrac{b^2+c^2-a^2}{2bc}$

Let a=8, b=7 and c=14, then by using Law of Cosine, we get

$\cos A=\dfrac{7^2+14^2-8^2}{2(7)(14)}$

$\cos A=\dfrac{49+196-64}{196}$

$\cos A=\dfrac{181}{196}$

Taking cos inverse on both sides.

$A=\cos^{-1}\dfrac{181}{196}$

$A=22.561328$

$A\approx 22.6$

Therefore, the measure of the angle opposite the side of length 8 is 22.6 degrees.

7 0

2 years ago

The following data are the distances between 20 retail stores and a large distribution center. The distances are in miles.

Free_Kalibri [48]

Answer:

1191.4 ; 34.5

Step-by-step explanation:

Given the data:

29; 37; 38; 40; 58; 67; 68; 69; 76; 86; 87; 95; 96; 96; 99; 106; 112; 127; 145; 150

The sample variance and standard deviation can be obtained thus :

Σ(X - m)² / (n - 1)

Where, m = mean of the sample

n = sample size

The standard deviation equals, sqrt(variance )

Using a calculator:

The variance, σ² ;

Mean = Σx / n = 1681 / 20 = 84.05

(x -m)^2

[(29-84.05)^2 + (37-84.05)^2 + (38-84.05)^2 + (40-84.05)^2 + (58-84.05)^2 + (67-84.05)^2 + (68-84.05)^2 + (69-84.05)^2 + (76-84.05)^2 + (86-84.05)^2 + (87-84.05)^2 + (95-84.05)^2 + (96-84.05)^2 + (96-84.05)^2 + (99-84.05)^2 + (106-84.05)^2 + (112-84.05)^2 + (127-84.05)^2 + (145-84.05)^2 + (150-84.05)^2] / 19

22636.95 / 19

= 1191.4184 = 1191.42

Standard deviation = sqrt( Variance)

Standard deviation = sqrt(1191.4184)

Standard deviation = 34.516929 = 34.52

4 0

2 years ago