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2 years ago

Match the following items.

Mathematics

1 answer:

Allisa [31]2 years ago

3 0

Answer:

1. a2 +2ab + b2 goes with letter J (a+b)^2

2. (a-b)^2 goes with letter L (a+b)(a-b)

3. a^2-2ab+b^2 goes with letter A (a-b)^2

4. A^3-B^3 goes with letter K (a-b)(a^2+ab+b^2)

5. a^3+b^3 goes with letter i (a+b)(a^2-ab+b^2)

6. divisor goes with letter E factor

7. process goes with letter C Algorithm

8. a simplified procedure that temporarily omits variables goes with letter G

Synthetic division

9. y=10x goes with letter H direct variation

10. xy=18 goes with letter F inverse variation

11. y=4xz goes with letter D joint variation

12. y=4x/z goes with letter B combine variation

Step-by-step explanation:

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200 students attend a school which offers French and History. 10% of those who take History also take French and 4 times as many

SIZIF [17.4K]

Answer: P(hist& french)=16/200=0.08

Step-by-step explanation:

To find the required probability we have to know what is the number of students that take both History and French ( Intersection of 2 circles in Venn diagram)

1. Lets find the number of students that take History or French or both.

We know that 8% from 200 take neither History or French. So number or students who take History or French or both is 200-200*0.08=184

2. Let number of students that takes French (or both Fr+Hist)=x (left circle)

So number of students that takes History (or both Fr+Hist)=4x (right circle)

So number of students that take both French+History= 10% from 4x or

0.1*4x=0.4x (circles' intersection)

3. Now we have the equation as follows:

x+4*x-0.4*x = 184

4.6*x=184

x=40 students takes French (or both French+ History)

4*x= 40*4=160 students takes History (or both French+ History)

10% from 160 =0.1*160=16 students takes both History and French

P(hist& french)=16/200=0.08

7 0

2 years ago

Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartF

vladimir2022 [97]

Answer:

30°

Step-by-step explanation:

Law of Sines = $\frac{a}{Sin A} = \frac{b}{Sin B} = \frac{c}{Sin C}$

$\frac{2}{Sin 30} = \frac{2}{Sin B}$

$\frac{2}{Sin 30} = \frac{2}{Sin 30}$

Therefore, m∠B = 30°

Hope that's right and helps

6 0

2 years ago

In a (blank),one ratio compares a part to a whole

Verdich [7]

Answer:

In a part-to-whole ratio, one ratio compares a part to a whole.

3 0

2 years ago

A car insurance company suspects that the younger the driver is, the more reckless a driver he/she is. They take a survey and gr

erastovalidia [21]

Answer:

The confidence interval for the difference in proportions is

$-0.028\leq p_1-p_2 \leq 0.096$

No. As the 95% CI include both negative and positive values, no proportion is significantly different from the other to conclude there is a difference between them.

Step-by-step explanation:

We have to construct a confidence interval for the difference of proportions.

The difference in the sample proportions is:

$p_1-p_2=x_1/n_1-x_2/n_2=(183/217)-(322/398)=0.843-0.809\\\\p_1-p_2=0.034$

The estimated standard error is:

$\sigma_{p_1-p_2}=\sqrt{\frac{p_1(1-p_1)}{n_1}+\frac{p_2(1-p_2)}{n_2} } \\\\\sigma_{p_1-p_2}=\sqrt{\frac{0.843*0.157}{217}+\frac{0.809*0.191}{398} } \\\\\sigma_{p_1-p_2}=\sqrt{0.000609912+0.000388239}=\sqrt{0.000998151} \\\\ \sigma_{p_1-p_2}=0.0316$

The z-value for a 95% confidence interval is z=1.96.

Then, the lower and upper bounds are:

$LL=(p_1-p_2)-z*\sigma_p=0.034-1.96*0.0316=0.034-0.062=-0.028\\\\\\UL=(p_1-p_2)+z*\sigma_p=0.034+1.96*0.0316=0.034+0.062=0.096$

The confidence interval for the difference in proportions is

$-0.028\leq p_1-p_2 \leq 0.096$

<em>Can it be concluded that there is a difference in the proportion of drivers who wear a seat belt at all times based on age group?</em>

No. It can not be concluded that there is a difference in the proportion of drivers who wear a seat belt at all times based on age group, as the confidence interval include both positive and negative values.

This means that we are not confident that the actual difference of proportions is positive or negative. No proportion is significantly different from the other to conclude there is a difference.

8 0

2 years ago

20 boxes of apples have been delivered to a restaurant. The number of apples in each box is counted. Complete the table below an

blsea [12.9K]

Answer:

30 apples

Step-by-step explanation:

600 is the total number of apples (adding all numbers in the apples*frequency column). Dividing this by 20, the number of boxes, we get 30 apples as the mean number in a box.

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2 years ago