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trapecia [35]
3 years ago
8

Simplify.

Mathematics
1 answer:
marissa [1.9K]3 years ago
6 0

Answer:

-22.22 + 14.652c +b

Step-by-step explanation:

9.4c−1.01∙(22b−5.2c)+b

WE need to simplify it by combining like terms

First multiply - 1.01 inside the parenthesis

-1.01 * 22= 22.22

-1.01 * (-5.2c)= 5.252c

9.4c− 22.22 + 5.252c +b

Combine like terms

9.4 c+ 5.252c= 14.652c

So the given expression becomes

-22.22 + 14.652c +b

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One way to divide decimal numbers is to use an equivalent expression.
dangina [55]

Answer:

the answer is 2.5

4 0
3 years ago
Fill in the blanks to complete the 4 part conclusion. There is suggestive, but inconclusive evidence the Velvetleaf seed beetle
Anarel [89]

Answer:

a) There is suggestive evidence the velvet leaf seed is successful at weed control.

b) Lower bound: 3.699 Upper bound: 6.629

c) Since the confidence interval contains the average percent of seeds to be infected by the beetle (5.164), so we fail to reject the null hypothesis at the specified level of significance.

Step-by-step explanation:

See attached picture.

3 0
3 years ago
50 students live in a dormitory. The parking lot has the capacity for 30 cars. Each student has a car with probability 12 , inde
Maurinko [17]

Answer:

P(X is greater than 30) = 0.06

Step-by-step explanation:

Given that:

Sample proportion (p) = 0.5

Sample size = 30

The Binomial can be approximated to normal with:

\mu = np = 50 \times 0.5 \\ \\ \mu= 25

\sigma = \sqrt{np(1-p) } \\ \\  \sigma = \sqrt{50 \times (0.5)(1-0.5) } \\ \\ \sigma = 3.536

To find:

P(X> 30)

So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 30 lies between 29.5 and 30.5

Normal distribution:

x = 30.5, \mu = 25, \sigma = 3.536

Using the z test statistics;

z = \dfrac{x - \mu}{\sigma}

z = \dfrac{30.5 - 25}{3.536}

z = \dfrac{5.5}{3.536}

z = 1.555

The p-value for P(X>30) = P(Z > 1.555)

The p-value for P(X>30) = 1 - P (Z< 1.555)

From the z tables;

P(X> 30) = 1 - 0.9400

Thus;

P(X is greater than 30) = 0.06

7 0
3 years ago
4(x - 2) = 2x + 3(x - 5)
yaroslaw [1]

Answer:

x=7

Step-by-step explanation:

  1. 4(x-2) = 2x+3(x-5)
  2. 4x-8 = 2x+3x-15
  3. 4x-8 = 5x -15
  4. -x = -7
  5. x = 7

8 0
3 years ago
How does the formula for the sample mean differ from the formula for population mean? Multiple choice question. To calculate the
Katen [24]

Answer:

The formulas are functionally the same, but 'n' (the sample size) is used instead of 'N' (the population size).

Step-by-step explanation:

The sample mean is the average value for a set of observations which is derived from a population. While the population mean is the average value for the entire set of observation belonging to a particular study of interest.

The set of observation belonging to a population is denoted by 'N' ; while the sample size is denoted as 'n' :

The mean formula is written thus :

Population mean = Σx / N

Sample mean = Σx / n

Where, x = set of values.

6 0
3 years ago
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