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MAVERICK [17]
3 years ago
15

When the following expression is written in simplest form, what is the coefficient of the variable term? -2.5y + 8y - 10.5y

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
7 0

Answer:

Option 1 is correct.

-5

Step-by-step explanation:

Given:

The given expression is.

=-2.5y+8y-10.5y

Write the given expression in simplest form.

=-2.5y+8y-10.5y

Add negative term of y.

=-13y+8y

=-5y

The simplest form of given expression is =-5y

Therefore, the coefficient of the variable term is -5

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are given the sets A = (even numbers less than 10) and B = (multiples of 3 greater than 3) A:name the communities A and B B:desc
4vir4ik [10]

Answer:

A n B = {6}

Step-by-step explanation:

Given he sets A = (even numbers less than 10) and B = (multiples of 3 greater than 3)

A = {2, 4, 6, 8}

B = {3, 6, 9, 12, 15...}

A n B includes the numbers are are common to both sets i.e number that we can find in both A and B.

From the set given, we can see that the only number that exists in both set is 6, hence;

A n B = {6}

5 0
2 years ago
A random sample of 102 full-grown lobsters had a mean weight of 16 ounces and a standard deviation of 3.4 ounces. Construct a 98
pshichka [43]

Answer:

The best point estimate for a confidence interval estimating the population μ is 16 ounces.

The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The best point estimate for a confidence interval estimating the population μ is

The sample mean, so 16 ounces.

T interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 102 - 1 = 101

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 101 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.98}{2} = 0.99. So we have T = 2.36

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.36\frac{3.4}{\sqrt{102}} = 0.79

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 16 - 0.79 = 15.21 ounces

The upper end of the interval is the sample mean added to M. So it is 16 + 0.79 = 16.79 ounces

The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.

4 0
2 years ago
Hilary made an origami dog. What is the area of the
Rus_ich [418]

Answer: 9.44 cm

Step-by-step explanation:

A = b × h

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To find the area of a parallelogram, the formula to use is A = b × h.

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2 years ago
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