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densk [106]
3 years ago
7

Which expression is equivalent to 8(k + m) - 15(2k + 5m)? agul

Mathematics
1 answer:
SpyIntel [72]3 years ago
4 0

Answer:

-22k - 67m

Step-by-step explanation:

You have to use the Distributive property:

8(k + m) - 15 (2k + 5m)

8k + 8m - 30k - 75m

Now simplify:

8k - 30k + 8m - 75m

-22k - 67m

Be careful with positives and negatives!

Hope this help!

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The average cost of living for a family of four in twelve different cities was found to be $65,351 with a standard deviation of
Andrej [43]

Answer:

$65,351+/-$3,661.73

= ( $61,689.27, $69,012.73)

Therefore, the 90% confidence interval (a,b) = ( $61,689.27, $69,012.73)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = $65,351

Standard deviation r = $7,711

Number of samples n = 12

Confidence interval = 90%

z(at 90% confidence) = 1.645

Substituting the values we have;

$65,351+/-1.645($7,711/√12)

$65,351+/-1.645($2,225.973962860)

$65,351+/-$3661.727168905

$65,351+/-$3,661.73

= ( $61,689.27, $69,012.73)

Therefore, the 90% confidence interval (a,b) = ( $61,689.27, $69,012.73)

6 0
3 years ago
What is the perimeter and area of a 5 x 5 square?
JulsSmile [24]
Perimeter is 20 and the area is 25
5 0
3 years ago
How many solutions are there to
Alika [10]

Answer:

C

Step-by-step explanation:

there are infinitely many solutions since different values of x and y will work for this simultaneous equation

8 0
3 years ago
Part 2. State what additional information is required in order to know that the triangles are congruent by ASA.​
Helga [31]
<h3>Answer: Choice D. \angle SQR \cong \angle XQR</h3>

The red angle markers show those two angles are congruent. That's one "A" of "ASA". The S refers to a congruent pair of sides. We don't have any tickmarks to indicate congruent pairs; however, we do know that QR = QR is a shared side that overlaps (reflexive theorem). So this is the "S" in "ASA".

The thing missing is the angle Q of the top triangle, and also of the bottom triangle as well. If we know those two angles are congruent, then we have enough info to use ASA. More specifically, if we know that \angle SQR \cong \angle XQR, then we can use ASA.

One thing to notice is that the other answer choices involve side lengths and not angles. This implies that if A, B or C were one of the answers, then we would have something like SAS or SSS. But instead we want ASA. So we can immediately rule choices A,B, and C out.

7 0
3 years ago
A water tank is leaking such that for each of the next 5 hours, the amount of water in the tank will be 2 gallons less than at t
andre [41]

Answer:

C.  Linear decrease

Step-by-step explanation:

I can't really show a graph but I will try to explain

The water is leaking at a constant rate, meaning its not regaining it water (its only leaking). So if u were to graph this it would be a linear decrease

( That was a Terrible explanation but the answer is right lol)

7 0
3 years ago
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