Find the volume of the prism

Answer:

Step-by-step explanation:

Probability of finding 2 left handed students out of 8 samples is 0.1488 or 14.88%.

Binomial distribution is the distribution of a random variable X for which there are only two possibilities. The probability p for the success and the probability of 1-p for the failure, which consist of n trials.

Given,

Number of students in the college = 800

10% of which are left handed.

Probability of finding left handed student = 10% = 0.1

p = 0.1

q = 1 - 01 = 0.9

Number of samples, n = 8

We have to find P(x = 2)

The formula to calculate binomial distribution is,

P(x) = ⁿCₓ pˣ qⁿ⁻ˣ

P(x = 2) = ⁸C₂(0.1)²(0.9)⁶

            = 28 × (0.1)²(0.9)⁶

            = 0.14880348

            ≈ 0.1488

Hence the probability is 0.1488.

Learn more about Binomial Distribution here :

https://brainly.com/question/14565246

#SPJ7

Answer:

4) 8

Step-by-step explanation:

In the formula y = mx + b, m is the slope and b is the y-intercept

m = 8

b = -1

If m = 8 and m is the slope, then the slope is 8

Answer:

tyyyy

Step-by-step explanation:

Answer:

Hardness.

Step-by-step explanation:

A mineral's hardness is a measure of its relative resistance to scratching, measured by scratching the mineral against another substance of known hardness on the Mohs Hardness Scale.

Answer:

hardness

Step-by-step explanation:

number 3

Answer:

<BED and <DEA, <AEC and <BEC

Step-by-step explanation:

Supplementary angles are two angles whose degree measures add up to 180 degrees. In other words, two angles that form a straight line.

In the given picture that is: <BED and <DEA, together they form line AB.

Another two supplementary angles in the given image are: <AEC and <BEC, they form line AB, from a different perspective.

Answer:

38° because the other two are cm? also you haven't linked a photo so I can't work out angle A

Answer:

EH = 13 in

Step-by-step explanation:

Angle between a tangent and radius is right, that is

∠ EBH = 90° and so Δ EBH is right

Using Pythagoras' identity in the right triangle

EH² = BE² + BH² = 5² + 12² = 25 + 144 = 169 ( square root both sides )

EH = [tex]\sqrt{169}[/tex] = 13

Answer:

A. circle

Step-by-step explanation:

Answer:

A: Circle!

Step-by-step explanation:

Edge 2022

Answer:

x = 139 degrees

Step-by-step explanation:

first, find what the missing interior angle is:

add the known angles:

90 + 49 = 139

subtract the sum from 180:

180 - 139 = 41

now to solve for x, take 180 and subtract 41:

180 - 41 = 139

x = 139 degrees

Answer: 50

Step-by-step explanation:

(7*8) - 6

56 - 6 = 50

Step-by-step explanation:

Step-by-step explanation:

congratulations happy for you

Answer:

Step-by-step explanation:

In order for a triangle to be a right triangle, it has to fit into Pythagorean's Theorem:

[tex]a^2+b^2=c^2[/tex] where c is the hypotenuse.

We need to figure out which is the longest side in each of those triangles and that is the hypotenuse.

In the first set, the sqrt of 443 is 21.04, but that is not the longest side; 24 is. So the Theorem formula for that is:

[tex]\sqrt{443}^2+17^2=24^2[/tex] which gives us

443 + 289 = 576, but 732 does not equal 576, so that one is not right.

In the second set, the sqrt of 725 is the longest side, so that formula is:

[tex]\sqrt{725}^2=14^2+23^2[/tex] which gives us

725 = 196 + 529, and 725 does equal 725, so that one is right.

In the third set, the sqrt of 890 is the longest side, so:

[tex]\sqrt{890}^2=19^2+23^2[/tex], which gives us

890 = 361 + 529, and 890 = 890, so that is a right triangle as well. That's how you know those are right, compared to the first one that is not.

Answer:

Step-by-step explanation:

First, let's find x:-

(15x-2)° = (9x+10)°

15x-2 = 9x+10

6x = 12

x = 2°

Now, let's find y:-

28 + y° = 180°

y = 180-28

y = 150°

______________________

Hope this helps you!

Have a great day!

Answer:

the length of the pole is 9.90 feet.

Step-by-step explanation:

Answer:

first type of fruit juice (35%) = 4

second type of fruit juice (100%) = 4

Step-by-step explanation:

4×35 = 140

4×100 = 400

400-140 = 260

Answer: x=1.6

Step-by-step explanation:

1.1=-8.5+6x

+8.5 +8.5 (add 8.5 on each side)

9.9=6x

Divide by 6 on each side to leave the x by itself

x=1.6

Answer:

x= 1.6

Step-by-step explanation:.

1.1=−8.5+6x

Step 1: Simplify both sides of the equation.

1.1=6x−8.5

Step 2: Flip the equation.

6x−8.5=1.1

Step 3: Add 8.5 to both sides.

6x−8.5+8.5=1.1+8.5

6x=9.6

Step 4: Divide both sides by 6.

6x /6 =  9.6/ 6

x=1.6

Answer:

x=1.6

Answer:

Given

f(x)=18,000(.88)^x

We need to find the value of x when f(x) <2000

2000 = 18000(0.88)^x

0.88^x 2000/18000

0.88^x 1/9

• x = log (1/9) / log (0.88)

• x= 17 (rounded down)

After 17 years or during year 18 the car value will drop below $2000

Answer:

Left triangle:

69+69+x=180

x=42

90-42=48

x=48

Let me know if this helps!

Answer:

Step-by-step explanation:

Answer:

16 cm²

Step-by-step explanation:

The dimension of rectangle = 7cm by 4 cm

The Area of the greatest square that can be cut from the rectangle :

The dimension has to be the Same to form a square :

Hence, the greatest width = 4cm

Therefore, taking the length also as 4cm

Area of square = side length²

Greatest area of square that can be cut = 4² = 16cm²

Answer:

9a²b²c²

Step-by-step explanation:

72a³b⁴c⁵ / 8ab²c³

= 9a²b²c²

Answer:

[tex]Ratio =16 : 31[/tex]

Step-by-step explanation:

Let

x = Freddie's age and y = His mother's age

Given

2001:=  [tex]x : y = 1 : 11[/tex]

2018:= [tex]x +17: y + 17= 2 : 5[/tex]

Required

The ratio of their age in 2030

[tex]x : y = 1 : 11[/tex]

[tex]x +17: y + 17= 2 : 5[/tex]

Express as fractions

[tex]\frac{x}{y} = \frac{1}{11}[/tex] --- (1)

[tex]\frac{x+17}{y+17} = \frac{2}{5}[/tex] -- (2)

In (1), make y the subject

[tex]\frac{x}{y} = \frac{1}{11}[/tex]

[tex]y = 11x[/tex]

Substitute [tex]y = 11x[/tex] in (2)

[tex]\frac{x+17}{y+17} = \frac{2}{5}[/tex]

[tex]\frac{x+17}{11x+17} = \frac{2}{5}[/tex]

Cross Multiply

[tex]5(x +17) = 2(11x + 17)[/tex]

[tex]5x +85 = 22x + 34[/tex]

Collect like terms

[tex]22x - 5x = 85 - 34[/tex]

[tex]17x = 51[/tex]

[tex]x =3[/tex]

[tex]y = 11x[/tex]

[tex]y = 11*3[/tex]

[tex]y = 33[/tex]

This means that: In 2001, Freddie was 3 and his mother was 33

In 2030 (29 years after);

Freddie will be: 3 + 29 = 32

His mother will be: 33 + 29 = 62

So, the ratio is:

[tex]Ratio =32 : 62[/tex]

Divide by 2

[tex]Ratio =16 : 31[/tex]

Answer:

59

Step-by-step explanation:

52+17-10=59

Answer:

vertex is (-4,-3)

and

axis of symmetry is x = -4

Answer:

19

Step-by-step explanation:

2x+7=45

2x=45-7

2x=38

2x/2=38/2

X=19

Answer:

C

Step-by-step explanation:

The mean is 6

The median is 6

The mode(s) are 5 and 7