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sashaice [31]
3 years ago
13

Assume the number of pounds of chocolate consumed in a year is equally likely between 20 and 100 pounds. what is the probability

that someone consumes less than 60 pounds of chocolate in a year?
Mathematics
1 answer:
kramer3 years ago
4 0
Because the probability is uniform (equally likely) between 20 and 100 pounds, the probability distribution is uniform between 80 and 100 pounds, with the value 1/(100-20) = 1/80 chocolates/pound.

Let x =  random variable that represents pounds of chocolate consumed.
Therefore
P(x < 60) = (60 - 20)*(1/80) = 1/2.

Answer: The probability is 1/2.
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Help me correct this plz
adelina 88 [10]
The answer will be D) 75

To find this it’s easiest to find how many animals there are per percent. So to find this you simply have to divide 30 (the number of cats) by 40 (the percent that makes up) to find the number of animals per percent.

30/40

.75

Then you multiply this by 100 to find how many animals there are total.

.75(100)

75

5 0
3 years ago
Read 2 more answers
PLEASEEE HELPPPP IM BEGGIN U
Anna71 [15]

Answer:

  a) positive real zeros: 2 or 0; negative real zeros: 2 or 0; complex zeros: 0, 2, or 4. (rule of signs)

  b) ∪-shaped, as for an even-degree polynomial with positive leading coefficient. See attached.

  c, d) See attached

Step-by-step explanation:

Descarte's rule of signs gives bounds on the number of positive and negative real roots. The numbers it gives may be reduced by multiples of 2, as complex roots will come in conjugate pairs. The total number of roots of all kinds will match the degree of the polynomial.

Synthetic division is essentially polynomial long division with some modifications:

  • the variables are omitted ("place value" is used instead)
  • the constant in the divisor is <em>negated</em> so its product with the partial quotient can be <em>added</em> to obtain the new dividend
  • the divisor binomial is assumed to have a leading coefficient of 1.

__

<h3>a) </h3>

The signs of the terms of the given polynomial are + - - - +. There are two sign changes, so 2 possible positive real roots.

When the signs of the odd-degree terms are changed, the signs become + + - + +. There are still two sign changes, so 2 possible negative real roots.

Either or both of these numbers can be reduced by 2 if the roots include a conjugate pair. That is, there may also be 0 possible positive real roots, and 0 possible negative real roots.

The number of non-real (complex) zeros may be any multiple of 2 up to the degree of the polynomial. The may be 0, 2, or 4 possible non-real zeros.

__

<h3>b)</h3>

The graph is the first attachment. It shows 4 real zeros: x = -4, -2, 1, 6.

Since the polynomial is of even degree (4) and has a positive leading coefficient (+1), we expect the general shape to be ∪-shaped. It is.

__

<h3>c)</h3>

The second attachment shows synthetic division using x = -4. (The binomial divisor is (x+4).) The remainder (lower right value in the tableau) is the value of y when x=-4. The third attachment shows synthetic division using the value x=3. (y is -210 when x=3.)

Maybe this is the table you want:

  \begin{array}{|c|c|c|}\cline{1-3}x&-4&3\\\cline{1-3}y&0&-210\\\cline{1-3}\end{array}

__

<h3>d)</h3>

The second attachment shows synthetic division by the factor (x+4).

_____

<em>Additional comment</em>

The synthetic division attachments show instructions for carrying out the synthetic division and interpreting the results. As we said above, "the entry on the left" is the opposite of the constant in the binomial divisor. It is the actual value of x you want to use to evaluate the function.

The equations shown are merely for the purpose of indicating the operations that are used. An actual synthetic division tableau is simply a 3-row table of numbers, with the bottom row being the quotient coefficients and remainder.

6 0
2 years ago
Can someone help me with this please
erastova [34]

Not positively sure but I believe it goes like this

Answer: 9x+26+5x=180

14x+26=180

180-26=14x

14x=154

X=15

8 0
2 years ago
Find the area of a circle with a circumference of 6.28 units
viktelen [127]

Answer:

area of the circle = 3.14 square units

Step-by-step explanation:

Circumference of the circle formula is 2\pir

where r is the radius of the circle

given circumference = 6.28

2\pir = 6.28

Value of pi is 3.14

2*3.14 * r= 6.28

6.28 r = 6.28

divide by 6.28 on both sides

r = 1

radius = 1

Area of the circle = \pi r^2

= 3.14 *1*1 = 3.14


6 0
2 years ago
Which expression uses the commutative property of addition and the associative property of multiplication to rewrite the express
musickatia [10]

Step-by-step explanation:

many things are possible.

the only thing we must not do is mixing the addition elements with the multiplication elements.

but we could change the expression to

3×(3×8) + 5

or

5 + (3×3)×8

or

5 + (3×8)×3

and so on, and it would always be the same result.

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2 years ago
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