2. The ratio of pretzels to peanuts in a trail mix is 4:9.
At the same rate if there are 80 pretzels how many
peanuts are there?

Answer:0

Step-by-step explanation:

Annually compounded interest: 4,031.75

Simple interest: 3,900.00

Answer:

[tex]P(x = 1) = 0.10[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{ccccc}x & {1} & {2} & {3} & {4} \ \\ P(x) & {0.10} & {0.30} & {0.40} & {0.20} \ \ \end{array}[/tex]

Required

Determine the probability of selling exactly 1 batch

This probability is represented with [tex]P(x = 1)[/tex]

From the table:

When x = 1; P(x) = 0.10

Hence:

[tex]P(x = 1) = 0.10[/tex]

In other words, the probability of selling exactly 1 is 0.10

Answer:

x = -1

Step-by-step explanation:

9514 1404 393

Answer:

  second step is wrong; x = 5

Step-by-step explanation:

The correct solution is ...

  3(x -3) +9 = 15

  3x -9 +9 = 15 . . . . . . . not 3x -3

  3x = 15

  x = 5

_____

Jeremy did what a lot of students do -- failed to apply the outside factor to all of the terms in parentheses.

9514 1404 393

Answer:

  a) f(-2.5) = 62.6875; f(-1.5) = -13.0625; (-2.5, -1.5) contains a real root

  b) there are 1 each of positive and negative real roots; 2 complex roots

  c) -2 and 1/3 are the rational real roots

  d) x ∈ {-2, 1/3, -1/3 +i(√2)/3, -1/3 -i(√2)/3}

Step-by-step explanation:

a) f(-2.5) = 62.6875; f(-1.5) = -13.0625. The function changes sign between -1.5 and -2.5, so there is a real root in that interval.

__

b) The given coefficients have one sign change, so there is one positive real root. Changing the signs of odd-degree terms makes the signs + - + - -, so there are three sign changes. There are 1 or 3 negative real roots, and possibly 2 complex roots. The constant term is non-zero, so zero is not a root. Here's your table:

  positive real roots: 1

  negative real roots: 1 or 3

  complex roots: 2 or 0

  zero roots: none

The graph is attached. It shows 2 real roots, one positive and one negative, so there are 2 complex roots. (There are 4 roots in total, so if only 2 are real, the other 2 are complex.)

__

c) Possible rational roots are of the form ...

  ±{1, 2}/{1, 3, 9}

Listed, they are ...

  ±{1/9, 2/9, 1/3, 2/3, 1, 2}

The actual real roots are -2 and 1/3.

__

d) The graph shows the real roots to be -2 and 1/3. The original leading coefficient of 3 is the product of the leading coefficients of the factors. Writing the factor (x -1/3) as (3x -1) lets us reduce the leading coefficient of the quadratic term from 9 to 3. The result of dividing factors (x+2) and (3x-1) from the original function is shown in the attachment. It is a parabola with vertex (-1/3, 2/3), so the factorization is ...

  f(x) = (x +2)(3x -1)(3(x +1/3)² +2/3)

The roots of the quadratic term are ...

  3(x +1/3)² = -2/3

  x +1/3 = ±√(-2/9)

  x = (-1 ±i√2)/3

So, the entire list of roots is ...

  x ∈ {-2, 1/3, -1/3 +i(√2)/3, -1/3 -i(√2)/3}

_____

Additional comment

The roots of a quadratic are easily found by knowing its leading coefficient and its vertex. If factoring known real roots from a higher-degree polynomial results in a quadratic, then the remaining complex roots are easily found. A graphing calculator is a wonderful tool for this process.

Answer:

13 = x      15 - x = 2

Step-by-step explanation:

15-x=2

15-13=2

Answer:

384 cm^3

Step-by-step explanation:

(16 times 4) times 6 = 384   :D

Answer:

1239.3 cm^3

Step-by-step explanation:

The volume of a cone is 1238.7 cm³.

It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.

The volume of a cone is (1/3)πr²h.

We have,

Height = 17.6 cm

Diameter = 16.4 cm

Radius = 16.4/2 = 8.2 cm

Now,

The volume of a cone = (1/3)πr²h.

V = 1/3 x 3.14 x 8.2 x 8.2 x 17.6

V = 1238.87 cm³

Thus,

The volume of a cone is 1238.7 cm³.

Learn more about cones here:

https://brainly.com/question/13798146

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Answer:

500

Step-by-step explanation:

150(100) = 15000 / 30 = 500

Answer:

[tex]c = 2[/tex]

Step-by-step explanation:

In order to find the answer to this question you must add 7 on both sides.

[tex]c-7=-9[/tex]

[tex]+ 7 + 7[/tex]

[tex]-9 + 7 = -2[/tex]

[tex]c = -2[/tex]

Hope this helps.

Answer:

2

Step-by-step explanation:

Answer:

First the line is positive so you can eliminate all negative choices for slope

Now start from a random point that lands on the graph

Now it can’t be 1 becuase it has am extra box but that line isn’t on a point

Now 1/2 it can’t be becuase if you rise 1 and go right 2 it’ll not land ona. Point

But for 2, you rise up 2 and right 1 and you land on a point on the graph so the final answer is 2

so wt's the question of this pic?

Answer:

2.53%

Step-by-step explanation:

all you have to do is 1 / 39.51 = about 0.0253 = 2.53%

Answer: -25•2^n-1 is the awnser

The explicit formula of the geometric sequence is -25 × 2ⁿ⁻¹.

Let's find the explicit formula for the geometric sequence as follows:

-25, -50, -100,- 200, ...

Using the geometric sequence formula,

nth term = arⁿ⁻¹

where

Therefore,

a = -25

r = -50 / -25 = 2

Hence,

nth term = -25 × 2ⁿ⁻¹

learn more on geometric sequence here: https://brainly.com/question/27197371

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Answer: 10%×$650=$585

$585-$450=$135 Mark up.

HOPE THIS HELPS

Answer:

Step-by-step explanation:

There are 12 months in one year, so there would be 12*y in y years.

Answer:

there 12 months in one 1 year

Step-by-step explanation:

Answer:

0.205, 21%, 1/4, 0.3, 1/3

Step-by-step explanation:

Hi! How I was taught to do these was convert them all into percentages.

0.3 ---> 30%

1/3 ---> 33.33%

21% ---> 21%

1/4 ---> 25%

0.205 --> 20.5%

Now that we have these, order from least to greatest. Make sure you use the form it gave you in the question!

Answer:

it is %224 profit on the skates

Step-by-step explanation:

Answer:

1,2,3,4,6,8,9,12,18,24,36,72.

Step-by-step explanation:

What you are looking for are numbers that multiply by each other to equal 72, like 1 and 72 or 8 and 9. Factor tree may help, search it up :)

Answer: [tex]0.416655[/tex]

Step-by-step explanation:

If random variable X has the binomial distribution B(n, p), then

[tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex]

, where  n= Total number of trials, x = number of successes , p= probability of success in each trial.

Given: The random variable R has the binomial distribution B (12,0.35).

n= 12, = 0.35

[tex]P(R>4)=1-P(R\leq4)\\\\=1-[P(R=0)+P(R=1)+P(R=3)+P(R=4)]\\\\\\=1-[^{12}C_0(0.35)^{0}(1-0.35)^{12}+^{12}C_1(0.35)^{1}(1-0.35)^{11}+^{12}C_2(0.35)^{2}(1-0.35)^{10}+^{12}C_3(0.35)^{3}(1-0.35)^{9}+^{12}C_4(0.35)^{4}(1-0.35)^{8}]\\\\= 1-[(1)(0.65)^{12}+(12)(0.35)(0.65)^{11}+\dfrac{12!}{2!10!}(0.35)^2(0.65)^{10}+\dfrac{12!}{9!3!}(0.35)^3(0.65)^{9}+\dfrac{12!}{8!4!}(0.35)^4(0.65)^{8}]\\\\=1-0.583345\\\\\approx0.416655[/tex]

Hence, P(R>4)=0.416655

Answer:

y = 60°

x = 12

Step-by-step explanation:

opposite angles of a parallelogram are equal

opposite sides of a parallelogram are equal

Answer:

9x+1

Step-by-step explanation:

2x+1+7x

2x+7x+1

9x+1

Answer:

8 hours

Step-by-step explanation:

it can't be 36 as the answer, and the next multiple before 36 is 32. And if you do 32 divided by 4 then you get 8. The answer is 8 hours.

Answer:

42/55

Step-by-step explanation:

6/5 times 7/11 = 42/55

Answer:

3

Step-by-step explanation:

_+(-4) = -1

_-4 = -1

_ = 3

Answer:

-2

Step-by-step explanation:

2-4=-2

Answer:

The answer is B

Step-by-step explanation

As it shows in the table each week the amount adds to 75$. in the table it only shows 4 weeks amount. and the question asks you whats the amount going to be in the 7th week . the amount will be 825.