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meriva
3 years ago
15

What 2 numbers multiply to -147 but add to -14?

Mathematics
1 answer:
Bezzdna [24]3 years ago
4 0
Okay, so let's go over multiplying negative numbers.  A positive times a positive is a positive, right?  But a negative times a negative is also a positive.  Only a negative times a positive (or a positive times a negative) gives you a negative number.  So, we know that one of our 2 numbers in this question must be negative; the other must be positive.

Let's now take a look at the factors of -147, starting with the positives.  Obviously, -147 and 1 are factors: -147 * 1 = -147.  What other factors of -147 are there?

What about 7?  Try it: -147 / 7 = -21.  So here are two factors: -21, and 7.  They multiply to -147.  Do they add up to -14?  Let's see: -21+7 = 7+(-21) = 7-21= -14.  Yup, that works!

Answer: -21 and 7
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A customer service phone line claims that the wait times before a call is answered by a service representative is less than 3.3
Vika [28.1K]

Answer:

(A) Yes, since the test statistic is in the rejection region defined by the critical value, reject the null. The claim is the alternative, so the claim is supported.

Step-by-step explanation:

Null hypothesis: The wait time before a call is answered by a service representative is 3.3 minutes.

Alternate hypothesis: The wait time before a call is answered by a service representative is less than 3.3 minutes.

Test statistic (t) = (sample mean - population mean) ÷ sd/√n

sample mean = 3.24 minutes

population mean = 3.3 minutes

sd = 0.4 minutes

n = 62

degree of freedom = n - 1 = 62 - 1 = 71

significance level = 0.08

t = (3.24 - 3.3) ÷ 0.4/√62 = -0.06 ÷ 005 = -1.2

The test is a one-tailed test. The critical value corresponding to 61 degrees of freedom and 0.08 significance level is 1.654

Conclusion:

Reject the null hypothesis because the test statistic -1.2 is in the rejection region of the critical value 1.654. The claim is contained in the alternative hypothesis, so it is supported.

5 0
3 years ago
Find the area of the triangle with the given base and height.<br> b = 3 m and h = 10 1/2 m
svetoff [14.1K]

<u>Statement</u><u>:</u>

The base of a triangle is 3m and its height is 10 \frac{1}{2} m.

<u>To </u><u>find </u><u>out:</u>

The area of the triangle.

<u>Solution:</u>

  • Given, base = 3m, height = 10 \frac{1}{2}m
  • We know,

\sf \: area \:  \:  of \:  \: a \:  \: triangle =  \frac{1}{2}  \times base \:  \times height

  • Therefore, the area of the triangle

\sf =  (\frac{1}{2}  \times 3 \times 10 \frac{1}{2} ) {m}^{2}  \\ \sf  = ( \frac{1}{2}  \times 3 \times  \frac{21}{2} ) {m}^{2}  \\  = \sf  \frac{63}{4}  {m}^{2}  \\  =   \sf 15\frac{3}{4}  {m}^{2}

<u>Answer</u><u>:</u>

The area of the triangle is \sf \: 15 \frac{3}{4}  {m}^{2}

Hope you could understand.

If you have any query, feel free to ask.

5 0
2 years ago
Read 2 more answers
decide if the following change is an increase or decrease. then determine the percent of change. senior citizen receive a 10% di
BARSIC [14]

The oldster got a discount, so the original price is higher; let's call it x;

(1 - 0.10) x = 12.60

.9 x = 12.60

x = 12.60/0.9  = 14.00

Answer: $14.00

8 0
3 years ago
an apple and a banana cost $2.10 the apple is $2.00 more than the banana how much does the banana cost
Korolek [52]
$2.10 - $2 = $0.10

The banana cost 10 cents.
8 0
3 years ago
What is the squair root of 9/49
adelina 88 [10]

Answer:

3/7

Step-by-step explanation:

To find the square root of a fraction, find the square root of the numerator and denominator individually

So, √9 = 3

√49 = 7

Put them back as a fraction = 3/7

Hope this helps

Please mark brainiest

5 0
3 years ago
Read 2 more answers
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