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tatyana61 [14]
3 years ago
7

Five consecutive odd integers whose sum is 85

Mathematics
1 answer:
Katen [24]3 years ago
7 0

Answer:

13,15,17,19,21

Hope I helped! ☺

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If the calculated test statistic is 2.148 when the critical value is 2.348, should you reject or not reject the null hypothesis,
Lisa [10]
The approach of critical value is used to determine likely or unlikely through determination whether observed test statistics is more than it would have been if null hypothesis was true. In other words, test statistics is compared to critical value and decision made.
If test statistics is more than critical value, the null hypothesis is rejected. Otherwise, null hypothesis is not rejected.

In the current scenario, test statistics (2.148) is less than critical value (2.348) and thus null hypothesis is not rejected.
8 0
3 years ago
Given: f(x) = x 2, g(x) = x + 6, h(x) = 7<br><br> Find h{g[f(x)] }.<br><br> a. 7<br> b. 20<br> c. 55
GarryVolchara [31]

Given f(x) = x^2 + 1 and g(x) = x-2

a. Find (f-g)(-2)

[f-g](x) = f(x) - g(x) = x^2-x+3

[f-g](-2) = (-2)^2-(-2)+3 = 9

----------------------------

b. Find f[g(5)]

f[g(5)] = f[5-2] = f[3] = 9+1 = 10

===================

problem a.

-----

(f-g)(x) = f(x) - g(x)

-----

(f-g)(-2) = f(-2) - g(-2)

-----

f(x) = x^2 + 1

f(-2) = (-2)^2 + 1

f(-2) = 4+1

f(-2) = 5

-----

g(x) = x-2

g(-2) = -2-2

g(-2) = -4

-----

f-g(-2) = f(-2) - g(-2) = 5 - (-4) = 5 + 4 = 9

-----

answer for a is:

f-g(-2) = 9

-----

problem b.

-----

g(x) = x-2

g(5) = 5-2

g(5) = 3

-----

f(x) = x^2 + 1

f(g(5)) = (g(5))^2 + 1

since g(5) = 3, equation becomes:

f(g(5)) = 3^2 + 1

f(g(5)) = 9 + 1 = 10

-----

answer for b is:

f(g(5)) = 10

-----

in general, you substitute whatever value is replacing x in the equation to get your answers.

looking at problem b in this way, we would get a general solution as follows:

f(x) = x^2 + 1

g(x) = x-2

substitute g(x) for x:

f(g(x)) = (g(x))^2 + 1

substitute the equation for g(x) on the right hand side.

f(g(x)) = (x-2)^2 + 1

remove parentheses:

f(g(x)) = x^2 - 4*x + 4 + 1

simplify:

f(g(x)) = x^2 - 4*x + 5

-----

substituting 5 for x:

f(g(5)) = (5^2 - 4*5 + 5

simplifying:

f(g(5)) = 25 - 20 + 5

f(g(5)) = 10

-----

answer is the same as above where we first solved for g(5) which became 3, and then substituted that value in f(g(x)) which made it f(3)).

Hope this helps!

5 0
2 years ago
Read 2 more answers
Help me plss I have a f
Serjik [45]

Answer:

31/3 or 31 over 3

Step-by-step explanation:

If you do the whole number (10) times the denominator (bottom number of the fraction,in this case 3) the add the numerator (top number of the fraction,in this case 1) you will get your improper fraction.

3 0
2 years ago
Find the value of x<br> Use sin, cos, or tan
Serhud [2]
<h3>Answer:   16.5</h3>

=========================================================

Explanation:

We use cosine to tie together the adjacent and hypotenuse

cos(angle) = adjacent/hypotenuse

cos(38) = x/21

21*cos(38) = x

x = 21*cos(38)

x = 16.5482258257411

x = 16.5

3 0
3 years ago
Whose problem is best modeled by a division expression?
puteri [66]

Answer:

only Tanveer's

Step-by-step explanation:

7 0
3 years ago
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