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IrinaVladis [17]
3 years ago
11

What is -27 equals 4.5 s

Mathematics
1 answer:
iVinArrow [24]3 years ago
4 0
If the sine if 4/5, then the side opposite is 4 and the hypotenuse is 5. This means it's the 3, 4, 5 right triangle (or similar, such as 6, 8, 10). 
cos = 3/5
tan = 4/3
cot = 3/4
sec = 5/3
csc = 5/4
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Write an inequality to describe the relationship between -1 2/3 and-1/4
Ivenika [448]

Step-by-step explanation:

- 1⅔ < -¼

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3 0
3 years ago
Find the slope of the line with x intercept 9 and y intercept of -2
elena-s [515]

Answer:

2/9

Step-by-step explanation:

Find the slope of the line with x intercept 9 and y intercept of -2

Given that the equation of the line is y = mx+b

x intercept occurs when y = 0

The coordinate of x intercept is (9,0)

y intercept occurs at x = 0

The coordinate of y intercept is (0, -2)

Slope m = y2-y1/x2-x1

m = -2-0/0-9

m = -2/-9

m = 2/9

Hence the required slope is 2/9

8 0
3 years ago
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
PERSON GETS 15 POINTZ PLZ HURRY The mean of the list n, n + 3, n+4, n+5, n+6, n+8, n+10, n + 12, n+15 is 11. What is the median?
7nadin3 [17]

Answer:

10

Step-by-step explanation:

To find the value of n we can write:

(n + n + 3 + n + 4 + n + 5 + n + 6 + n + 8 + n + 10 + n + 12 + n + 15) / 9 = 11

(9n + 63) / 9 = 11

9n + 63 = 99

9n = 36

n = 4

The median is n + 6 which is 4 + 6 = 10.

7 0
3 years ago
Read 2 more answers
If f(x)=4x^2+1 and g(x)=x^2-5 find(f+g)(x)
Zepler [3.9K]

Answer:

\large\boxed{(f+g)(x)=5x^2+6}

Step-by-step explanation:

(f+g)(x)=f(x)+g(x)\\\\f(x)=4x^2+1,\ g(x)=x^2-5\\\\\text{Substitute:}\\\\(f+g)(x)=(4x^2+1)+(x^2-5)\\\\=4x^2+1+x^2-5\qquad\text{combine like terms}\\\\=(4x^2+x^2)+(1+5)\\\\=5x^2+6

6 0
4 years ago
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