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larisa86 [58]
3 years ago
14

Add, answer as a fraction: 1/15 + 3/12

Mathematics
2 answers:
Nataly [62]3 years ago
7 0
First change 3/12 to 45/180 and 1/15 to 12/180 and 12+45=57 so the answer is 57/180
charle [14.2K]3 years ago
3 0
First you need to find the LCD, which is 60 in this case. After you find the LCD the rest is easy. Just add the two numbers together:

 
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-14 + 6x = 1 - 3x what is x​
mixas84 [53]

Answer:

X = 5/3

Step-by-step explanation:

-14 + 6x = 1 - 3x

-14 + 9x = 1

9x = 15

x = 5/3

Hope this helps! Pls give brainliest!

6 0
2 years ago
Read 2 more answers
Is (x + 6) a factor of f(x) = x3 − 3x2 + 2x − 8? Show how to use either the remainder theorem or the factor theorem to explain y
inysia [295]

Answer:

x + 6 is not a factor of f ( x ) = x³ - 3x² + 2x - 8 because when -6 is substituted into the function, the answer is not 0.

Step-by-step explanation:

→ Substitute x = -6 into f ( x )

( 6 )³ - 3 × ( 6 )² + ( 2 × 6) - 8

→ Simplify

216 - 108 + 12 - 8

→ Simplify further

112

7 0
2 years ago
Which of the expressions can you use to find the number of 3-digit passwords you can make using the digits 5, 6, and 7, if you d
allochka39001 [22]
Hello,

Codes are :
5_6_7, 5_7_6

6_5_7,6_7_5

7_5_6,7_6_5

Choising the first (3 possibilities)
next choising the second (2 possibilities)
chosing the last  (1 possibility)

So 3*2*1=6

Answer A

5 0
3 years ago
2 divided by 5/12= what
AlekseyPX

Answer:

4.8

Step-by-step explanation:

2 ÷ 5/12 = 4.8

Make sure to use a calculator or solve on a piece of paper. :)

6 0
3 years ago
Let the sample size of leg strengths to be 7 and the sample mean and sample standard deviation be 630 watts and 32 watts, respec
Colt1911 [192]

Answer:

a. There is_<u><em>sufficient</em></u> evidence that the leg

C. 0.010 < P-value < 0.025

b. Power of test = 1- β=0.2066

c. So the sample size is 88

Step-by-step explanation:

We formulate the null and alternative hypotheses as

H0 : u1= u2 against Ha : u1 > u2 This is a right tailed test

Here n= 7 and significance level ∝= 0.005

Critical value for a right tailed test with 6 df is 1.9432

Sample Standard deviation = s= 32

Sample size= n= 7

Sample Mean =x`= 630

Degrees of freedom = df = n-1= 7-1= 6

The test statistic used here is

Z = x- x`/ s/√n

Z= 630-600 / 32 / √7

Z= 2.4797= 2.48

P- value = 0.0023890 > ∝ reject the null hypothesis.

so it lies between 0.010 < P-value < 0.025

b) Power of test if true strength is 610 watts.

For  a right tailed test value of z is = ± 1.645

P (type II error) β= P (Z< Z∝-x- x`/ s/√n)

Z = x- x`/ s/√n

Z= 610-630 / 32 / √7

Z=0.826

P (type II error) β= P (Z< 1.645-0.826)

= P (Z> 0.818)

= 0.7933

Power of test = 1- β=0.2066

(c)

true mean = 610

hypothesis mean = 600

standard deviation= 32

power = β=0.9

Z∝= 1.645

Zβ= 1.282

Sample size needed

n=( (Z∝ +Zβ )*s/ SE)²

n=  ((1.645+1.282) 32/ 10)²

Putting the values  and solving we get 87.69

So the sample size is 88

5 0
3 years ago
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