The number of members in JJ Select in 1980 was approximately 2 × 102 people. By 2005, the number of members had risen to 6 × 105 people. Which of the following is true?

For this, you have to calculate LCM of denominators i.e., 7 and 11 that will be 77

Now, 77/7 = 11, so 4*11=44 & 77/11 = 7, so 6*7=42

44/77 and 42/77 is the answer

Final answer:

To get a common denominator for the fractions 4/7 and 6/11, we find the least common multiple of 7 and 11, which is 77. The fraction 4/7 becomes 44/77 when both numerator and denominator are multiplied by 11, and the fraction 6/11 becomes 42/77 when both are multiplied by 7.

Explanation:

In simple terms, a common denominator is found by identifying the least common multiple (LCM) of the denominators you are working with.  In this instance, we are facing two fractions: 4/7 and 6/11. The LCM of 7 and 11 is 77, because 7 and 11 are both prime numbers and prime numbers only have one common multiple - their product.

So, you can rewrite these fractions as follows:

1. For 4/7, you multiply both the numerator (the top number) and the denominator (the bottom number) by 11. This gives you 44/77.
2. For 6/11, you multiply both the numerator and the denominator by 7. This gives you 42/77.

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Answer:

-2/5

Step-by-step explanation:

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

Answer:

3. A=B=70°; C=D=110°

4. A=90°; C=48°

Step-by-step explanation:

Same-side angles of a trapezoid add to 180°.

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3. (2x) +(x+15) = 180

3x + 15 = 180 . . . . simplify

x +5 = 60 . . . . . . . divide by 3

x = 55

A=B=(x+15)° = (55+15)° = 70°

C=D=2x° = 2·55° = 110°

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4. You are given the values of one of the angles on each side, so the other can be found by subtraction:

A=180°-D = 90°

C = 180° -132° = 48°

Answer:

(s/√n) is the standard error of the sample mean. If the sample size n=25, the sample mean = 10 and the sample standard deviation s=6, create the 90% confidence interval for the population mean and interpret it. A. The confidence interval is [7.52 ,12.48] and 90% of the population values fall in this interval.

Answer:

24

Step-by-step explanation:

Final answer:

The unit rate for each cupcake is $0.70.

Explanation:

To find the unit rate, we need to divide the total cost by the number of cupcakes. In this case, Jennifer bought 12 cupcakes for $8.40. So, the unit rate is $8.40 divided by 12 cupcakes.

We can calculate it as:

Unit rate = Total cost / Number of cupcakes = $8.40 / 12 cupcakes

Simplifying the division, we get:

Unit rate = $0.70 per cupcake

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