Two students share 3/4 of a pound of peanuts. How much of a pound does each person get

Answer:

A, C and D

Step-by-step explanation:

Given

[tex]\frac{3}{5}a + 10[/tex]

Required

Select 3 equivalent expressions

[tex]\frac{3}{5}a + 10[/tex]

Express 3 as 2 + 1

[tex]\frac{2 + 1}{5}a + 10[/tex]

Rewrite as:

[tex]\frac{2a + a}{5} + 10[/tex]

Split

[tex]\frac{2a}{5} + \frac{a}{5} + 10[/tex] ----- Option (A)

[tex]\frac{3}{5}a + 10[/tex]

Express 10 as 14 - 4

[tex]\frac{3}{5}a + 14 - 4[/tex]

Rewrite as:

[tex]14+\frac{3}{5}a - 4[/tex] --- Option (C)

[tex]\frac{3}{5}a + 10[/tex]

Factor out 1/5

[tex]\frac{1}{5}(3a + 50)[/tex] --- Option D

Answer:

Option D

Step-by-step explanation:

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Answer:

[tex]P(X=8) = 0.0194[/tex]

[tex]P(X \ge 8)= 0.9820[/tex]

[tex]P(X \ge 1)= 1[/tex]

[tex]P(X\le 1) = 0.0000049[/tex]

Step-by-step explanation:

Given

[tex]\lambda = 15[/tex]

Poisson distribution is given by:

[tex]P(X=x) = \frac{\lambda^x e^{-\lambda}}{x!}[/tex]

Solving (a): 8 bugs

This implies that:

[tex]x = 8[/tex]

So, we have:

[tex]P(X=8) = \frac{15^8 * e^{-15}}{8!}[/tex]

[tex]P(X=8) = \frac{783.99418938}{40320}[/tex]

[tex]P(X=8) = 0.0194[/tex]

Solving (b): At least 8 bugs

This is represented as: [tex]P(X \ge 8)[/tex]

Using complement rule:

[tex]P(X \ge 8)= 1 - P(X<8)[/tex]

Where

[tex]P(X<8) = P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6) + P(X=7)[/tex]

[tex]P(X<8) = \frac{15^1 * e^{-15}}{1!} + \frac{15^2 * e^{-15}}{2!} + \frac{15^3 * e^{-15}}{3!} + \frac{15^4 * e^{-15}}{4!} + \frac{15^5 * e^{-15}}{5!} + \frac{15^6 * e^{-15}}{6!} + \frac{15^7 * e^{-15}}{7!}[/tex]

[tex]P(X<8) = (\frac{15^1}{1!} + \frac{15^2}{2!} + \frac{15^3 }{3!} + \frac{15^4}{4!} + \frac{15^5}{5!} + \frac{15^6}{6!} + \frac{15^7}{7!}) e^{-15}[/tex]

[tex]P(X<8) = (15 + 112.5 + 562.5 + 2109.375 + 6328.125 + 15820.3125 + 33900.6696429) *e^{-15}[/tex]

[tex]P(X<8) = 58848.4821429 *e^{-15}[/tex]

[tex]P(X<8) = 0.0180[/tex]

So:

[tex]P(X \ge 8)= 1 - P(X<8)[/tex]

[tex]P(X \ge 8)= 1 - 0.0180[/tex]

[tex]P(X \ge 8)= 0.9820[/tex]

Solving (c): At least 1

This is represented as: [tex]P(X \ge 1)[/tex]

Using complement rule:

[tex]P(X \ge 1)= 1 - P(X<1)[/tex]

[tex]P(X<1) = P(X = 0)[/tex]

[tex]P(X<1) = \frac{15^0 e^{-15}}{0!}[/tex]

[tex]P(X<1) = \frac{e^{-15}}{1}[/tex]

[tex]P(X<1) = e^{-15}[/tex]

So:

[tex]P(X \ge 1)= 1 - P(X<1)[/tex]

[tex]P(X \ge 1)= 1 - e^{-15[/tex]

[tex]P(X \ge 1)= 0.99999969409[/tex]

[tex]P(X \ge 1)= 1[/tex]

Solving (d): Not more than 1

This implies at most 1.

It is represented as:

[tex]P(X\le 1)[/tex]

It is calculated using:

[tex]P(X\le 1) = P(X = 0) + P(X =1)[/tex]

[tex]P(X = 0) = e^{-15}[/tex]

[tex]P(X=1) = \frac{15^1 * e^{-15}}{1!}[/tex]

[tex]P(X=1) = 15 * e^{-15}[/tex]

So:

[tex]P(X\le 1) = e^{-15} + 15 * e^{-15}[/tex]

[tex]P(X\le 1) = 0.00000489443[/tex]

[tex]P(X\le 1) = 0.0000049[/tex]

Answer:

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Answer:

Answer is C hope this helps

Step-by-step explanation:

Answer:

a conjecture is a conclusion or a proposition which is suspected to be true due to preliminary supporting evidence, but for which no proof or disproof has yet been found.

Step-by-step explanation:

Answer:

22 feet below sea level

Step-by-step explanation:

she kept going down, basically in a negative way. adding to the already below sea level

Answer:

The probability percentage that both players will be seniors is 15.38%.

Step-by-step explanation:

Given that a football team has 5 freshman, 8 sophomores, 11 juniors, and 16 seniors, if two are chosen at random to participate in the coin toss, to determine what is the probability that both players chosen will be seniors the following calculation must be done:

5 + 8 + 11 + 16 = 40

16/40 = X

4/10 = X

0.4 = X

15/39 = X

5/13 = X

0.38 = X

0.4 x 0.38 = X

0.1538 = X

Thus, the probability percentage that both players will be seniors is 15.38%.

Answer:

3) Obtuse

4) Right

Step-by-step explanation:

3)

11 + 13 > 25 It is a triangle

11² + 13² = 25²

121 + 169 = 625

290 ≠ 625

Since hypotenuse is larger, the triangle is obtuse

4)

21 + 28 > 35 It is a triangle

21² + 28² = 35²

441 + 784 = 1225

1225 = 1225

Since the hypotenuse is equal to the legs, it's a Right triangle

Answer:

Slope of 1.5 means that the printing of each new t-shirt is of $1.50.

The y-intercept of 20 means that the fixed cost, that is, the cost without printing the t-shirts, only the design, is of $20.

Step-by-step explanation:

Equation of a line:

An equation of a line has the following format:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the increase in y when x increases by 1.

b is the y-intercept, which is the value of y when x = 0.

The cost, y, to print x T-shirts is y=1.5x+20.

Slope of 1.5 means that the printing of each new t-shirt is of $1.50.

The y-intercept of 20 means that the fixed cost, that is, the cost without printing the t-shirts, only the design, is of $20.

Answer:

1/3

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

The answer is 3/4 because 1/2 can be turned into 2/4 so the denominators are equal and then you add 1/4 and 3/4

2/4=1/2 because they are both a half

Answer:

48

Step-by-step explanation:

Cat = x

Dog = 8x

x + 8x = 54

9x = 54

x = 6, Dog = 8 * 6 = 48

Answer:

free

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

ok then, firstly, lets make line CB into y

sin45 / y = sin 90 / 6[tex]\sqrt{2}[/tex]

in other words, as sin 90 = 1

y / sin45 = 6[tex]\sqrt{2}[/tex]

y = sin 45 * 6[tex]\sqrt{2}[/tex] = 6 as sin 45 = root2/2, and root2 * root 2 = 2, so

6*2/2 = 6

we also know BCD is 30*, as angles in a tri add up to 180*

so, x/sin30 = 6/sin90 = 6

x/sin30 = 6

6*sin30 = x

x = 3 as sin 30 = 1/2

Answer:

A control group is used in an experiment as a point of comparison.

Step-by-step explanation:

By having a group that does not receive any sort of treatment, researchers are better able to isolate whether the experimental treatment did or did not affect the subjects who received it.

Answer:

False

Step-by-step explanation:

EDGE 2021

Answer:

I think that the answer would be C .

hope it was helpful :)

Answer:

It's the graphic A.

,,,,,,

Answer:

D

Step-by-step explanation:

z+nm is equiveland to mn+z since its the same equation but wrote in different positions.

Answer: the answer is D

Z + nm

Answer: 25%

Step-by-step explanation:

Let's take our given numbers

20% you win both checkers and chess against your friend

30% you win against your friend in chess

Now we take both probability's 20% and 30%

We are know working with a probability out of 200%

Let's add 20% and 30%

20%+30%=50%

Now 50% of 200% is

25%

Answer:

2x + x + 63 = 180 to find x.

m<1 = 78 degrees

m<2 = 102 degrees

Step-by-step explanation:

Combine like terms: 3x + 63 = 180

Subtraction: 3x = 117

Division: 3x/3 = 117/3

Final Answer: x = 39

m<1 = 2(39) = 78 degrees

m<2 = (39 + 63) = 102 degrees

Check work: 102 + 78 = 180

(180 is the measure of a straight line such as the one represented here)

Answer:

B, D, F

Step-by-step explanation:

B, D, F

Answer:

22 or 4+12+6

Step-by-step explanation:

Since A is equal to 2, times 2 by 2 and get 4

Since B= 4 you times 3 by 4 and get 12

4+12 is 16

16 plus 6 is 22

Answer:

(x − 4)(x − 12)

Step-by-step explanation:

The factored form of the polynomial x² - 16x + 48 is (x - 4)(x - 12).
Option A is the correct answer.

Polynomial is an equation written with terms of the form kx^n.

where k and n are positive integers.

There are quadratic polynomials and cubic polynomials.

Example:

2x³ + 4x² + 4x + 9 is a cubic polynomial.

4x² + 7x + 8 is a quadratic polynomial.

We have,

Now we can rewrite the middle term -16x as -4x - 12x and group the terms as follows:

x² - 16x + 48 = x² - 4x - 12x + 48

= (x² - 4x) + (-12x + 48)

= x(x - 4) - 12(x - 4)

= (x - 4)(x - 12)

Therefore,

The factored form of the polynomial x² - 16x + 48 is (x - 4)(x - 12).

Learn more about polynomials here:

https://brainly.com/question/2284746

#SPJ5

Answer:

6v + 12

Step-by-step explanation:

2(3v+6) = 2 * 3v + 2 * 6 = 6v + 12

Hope this helps =]

Answer:

9(3+c+4)=

27+9c+36=

63+9c=

Step-by-step explanation:

9(3+c+4)=

27+9c+36=

63+9c=

Answer:

m<P=130°

m<Q=130°

m<R=50°

Step-by-step explanation:

m<P=130

m<Q=130

m<R=50

Answer:

i believe it would be   w=A/50

Step-by-step explanation:

Answer:

73.46 yds ^2

Step-by-step explanation:

triangle = 1/2bh = 1/2(19)(16) = 152

circle= πr^2

π(5)^2 = 25π = 78.54

152 -78.54= 73.46

Answer:

8×p≈c

Step-by-step explanation:

Because if each is 8 dollars you would multpy the number (Or Letter) by how many you want or have.