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2 years ago

Ramona had 8 3/8 in. of ribbon. She used 2 1/2 in. for an art project.How many inches of ribbon does she have left?

2 answers:

8 0

$8\frac{3}{8}= \frac{67}{8}$

$2\frac{1}{2} = \frac{5}{2} = \frac{20}{8}$

$\frac{67}{8}- \frac{20}{8} = \frac{47}{8} =5 \frac{7}{8} in$

muminat2 years ago

6 0

Answer: There is $5\frac{7}{8}\ in.$ left.

Step-by-step explanation:

Since we have given that

Length of ribbon Ramona had is given by

$8\frac{3}{8}=\frac{67}{8}\ in.$

Length of ribbon she used for a project is given by

$2\frac{1}{2}=\frac{5}{2}\ in.$

Number of inches of ribbon left is given by

$\frac{67}{8}-\frac{5}{2}\\\\=\frac{67-20}{8}\\\\=\frac{47}{8}\ in\\\\=5\frac{7}{8}\ in.$

Hence, there is $5\frac{7}{8}\ in.$ left.

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One factor of the polynomial 2x^3 - 3x^2 - 3x + 2 is ( x - 2 ). Which expression represents the other factor, or factors, of the

Georgia [21]

Answer:

Option (D)

Step-by-step explanation:

Given polynomial is,

2x³ - 3x² - 3x + 2

If (x - 2) is the factor of the given polynomial,

By synthetic division we can get the other factor.

2 | 2 -3 -3 2

2 1 -1 0

Therefore, other factor of the given polynomial is (2x² + x - 1)

Now (2x² + x - 1) = 2x² + 2x - x - 1

= 2x(x + 1) -1(x + 1)

= (2x - 1)(x + 1)

Therefore, factors of the given polynomial other than (x - 2) are (2x - 1) and (x + 1)

Option (D) will be the answer.

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2 years ago

In choice situations of this type, subjects often exhibit the "center stage effect," which is a tendency to choose the item in t

victus00 [196]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The probability that he or she would choose the pair of socks in the center position is $p =\frac{1}{5}$

The correct answer choice is

X has a binomial distribution with parameters n=100 and p=1/5

The mean is $\mu = 20$

The standard deviation is $\sigma=4$

The probability, $P =0.0002$

The correct answer is

The experiment supports the center stage effect. If participants were truly picking the socks at random, it would be highly unlikely for 34 or more to choose the center pair.

Using the R the probability $Pe = 0.0003$

The probabilities $P \approx Pe$

Step-by-step explanation:

Since the person selects his or her desired pair of socks at random , then the probability that the person would choose the pair of socks in the center position from all the five identical pair is mathematically evaluated as

$p =\frac{1}{5}$

$=0.2$

The mean of this distribution is mathematical represented as

$\mu = np$

substituting the value

$\mu = 100 * 0.2$

$\mu = 20$

The standard deviation is mathematically represented as

$\sigma = \sqrt{np (1-p)}$

substituting the value

$= \sqrt{100 * 0,2 (1-0.2)}$

$\sigma=4$

Applying normal approximation the probability that 34 or more subjects would choose the item in the center if each subject were selecting his or her preferred pair of socks at random would be mathematically represented as

$P=P(X \ge 34 )$

By standardizing the normal approximation we have that

$P(X \ge 34) \approx P(Z \ge z)$

Now z is mathematically evaluated as

$z = \frac{x-\mu}{\sigma }$

Substituting values

$z = \frac{34-20}{4}$

$=3.5$

So using the z table the $P(Z \ge 3.5)$ is 0.0002

The probability P and Pe that 34 or more subject would choose the center pair is very small So

The correct answer is

The experiment supports the center stage effect. If participants were truly picking the socks at random, it would be highly unlikely for 34 or more to choose the center pair.

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2 years ago

Georgina has a cube-shaped ring box. The volume of the box is 125 cubic centimeters. What is the length of the box in centimeter

omeli [17]

you need to find one side then see what multiples are equal to your answer

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2 years ago

(b) we often read that iq scores for large populations are centered at 100. what percent of these 78 students have scores above

zheka24 [161]

Given that the<span> iq scores for large populations are centered at 100.

To get what percent of these 78 students have scores above 100 we conduct a normal distribution probability of the data.

P(x > 100) = P(z > (100 - 100)/sd) = P(z > 0) = 1 - P(z < 0) = 1 - 0.5 = 0.5 = 50%
</span>

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2 years ago

The amount of garbage, G, in tons per week, produced by a city with population p, measured in thousands of people, is given by G

ExtremeBDS [4]

Answer:

12 = f(40)

Step-by-step explanation:

From the given information:

We are being told that:

G = tons per week

p = people in thousands

However, the relation existing between the amount of garbage that is produced by a city with population p can be expressed as:

G = f(p)

Similarly, they said there exists a total population of 40000 persons in the town of Tola. i.e. 40 thousand and also 12 tons of garbage is produced by week i.e. that will be the value for G.

Then, we have:

12 = f(40)

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1 year ago