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3 years ago

Please help!!!!

Mathematics

1 answer:

tresset_1 [31]3 years ago

6 0

Answer:

Step-by-step explanation:

2x² + 5x + 2=0 (roots or zeros)

(2x+1)(x+2)=0

2x+1=0 ⇒ x=-1/2 or -0.5

x+2=0 ⇒ x=-2

x² - 4x + 3=0

(x-3)(x-1)=0

x-3=0 ⇒ x=3

x-1=0 ⇒ x=1

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9/11 - 1/2 in it's simplest form

Murrr4er [49]

Answer:

7/22

Step-by-step explanation:

Step 1: <u>Define/explain.</u>

To subtract fractions with different denominators, you must first find the least common denominator (LCM).

You can do this by listing the multiples of each denominator.

Step 2: <u>Solve.</u>

11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110

2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22

22 is the LCM.

Now, we change the fractions to where they both have denominators of 22.

**REMEMBER: WHICHEVER NUMBER YOU MULTIPLY THE DENOMINATOR BY, YOU MULTIPLY IT BY THE NUMERATOR AS WELL!!**

$9/11*2/2=18/22$

$1/2*11/11=11/22$

Now, subtract as normal.

$18/22-11/22=7/22$

$7/22 (simplified).$

Step 3: <u>Conclude.</u>

Therefore, 9/11 - 1/2 = 7/22.

5 0

3 years ago

The net of a cone is composed of a circle and a <br> triangle<br> wedge<br> triangle

jok3333 [9.3K]

Answer:

I would say triangle. But I am not completely sure!

Step-by-step explanation:

Hope this helps!

6 0

3 years ago

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According to the U.S. Census Bureau, 42% of men who worked at home were college graduates. In a sample of 480 women who worked a

Likurg_2 [28]

Answer:

1) $0.327 - 0.539 \sqrt{\frac{0.327(1-0.327)}{480}}=0.315$

The point estimate for the proportion of college graduates among women who work at home is 0.327

2) $0.327 - 0.539 \sqrt{\frac{0.327(1-0.327)}{480}}=0.315$

$0.327 + 0.539 \sqrt{\frac{0.327(1-0.327)}{480}}=0.339$

The 80% confidence interval is given by (0.315; 0.339)

Step-by-step explanation:

For this case we have the following info given:

$X = 157$ represent the women who worked at home who were college graduates

$n = 480$ the sample size selected

Part 1

In order to find the proportion of college graduates among women who work at home and we can use the following formula:

$\hat p=\frac{X}{n} = \frac{157}{480}= 0.327$

The point estimate for the proportion of college graduates among women who work at home is 0.327

Part 2

Construct an 80% confidence interval for the proportion of women who work at home who are college graduates. Round the answer to three decimal places. An 80% confidence interval for the proportion of women who work at home Is < p <

The confidence interval for the true proportion would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 80% confidence interval the value for the significance is $\alpha=1-0.8=0.2$ and $\alpha/2=0.1$ , the critical value would be given by:

$z_{\alpha/2}=0.539$

And replacing we goot:

$0.327 - 0.539 \sqrt{\frac{0.327(1-0.327)}{480}}=0.315$

$0.327 + 0.539 \sqrt{\frac{0.327(1-0.327)}{480}}=0.339$

The 80% confidence interval is given by (0.315; 0.339)

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3 years ago

Data with a correlation coefficient of 0.05 has a _[blank A]_ correlation, and data with a correlation coefficient of −0.80 has

Liula [17]

Answer:

Correlation Coefficient r value of 0.05 means a weak or very weak positive relationship while

Correlation Coefficient r value of 0.80 means a strong positive relationship

Step-by-step explanation:

Correlation Coefficient (r) signifies the strength of relationship which exists between two linear variables. The value of r ranges from - 1 to + 1 where positive and negative values signifies a positive and negative relationship relationship respectively.

The closer the r value is to either +1 or - 1, the greater the strength of the relationship while a r value of 0 means, there is no relationship between the two variables.

Hence in the scenario above :

Correlation Coefficient r value of 0.05 means a weak or very weak positive relationship while

Correlation Coefficient r value of 0.80 means a strong positive relationship

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