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3 years ago

Let f(x) = |x|, ????????(x) = f(x − 3), and h(x) = f(x + 2), where x can be any real number.

Mathematics

1 answer:

ra1l [238]3 years ago

5 0

Answer:

g(x)= |x-3|

h(x) = |x+2|

Step-by-step explanation:

1. Let g(x)=f(x-3), we can write the function in terms of |x| as:

g(x)= |x-3|

2. Let h(x)=f(x+2), the function can be rewrite in terms of |x| as:

h(x) = |x+2|

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What is sin B ?

Neporo4naja [7]

Answer:

The answer to your question is sin B = $\frac{8}{17}$

Step-by-step explanation:

Sine is the trigonometric function that relates the opposite side and the hypotenuse.

In the picture, we have the hypotenuse and the adjacent side, so we must calculate the opposite side using the Pythagorean theorem.

b² = c² - a²

b² = 17² - 15²

b² = 289 - 225

b² = 64

b = 8

Now, we can calculate the sine

sin B = $\frac{opposite side}{hypotenuse}$

sin B = $\frac{8}{17}$

3 0

3 years ago

Find the probability of getting a head when you flip a coin, and then getting a vowel when you draw from a bag of letters with t

lesantik [10]

Answer:

UM I am not sure how you want this but a coin it is 50 50 or 1/2 and with the probability of getting a vowel is 5/26.

Step-by-step explanation:

Pls tell me if I am wrong I have no learned this yet if I am wrong I will edit it to be right.

6 0

3 years ago

Read 2 more answers

Independent random samples of released prisoners in the fraud and firearms offense categories yielded the given information on t

Alex_Xolod [135]

Answer:

Since the computed value of t= -4.654 does not fall in the critical region we therefore accept the null hypothesis . We conclude that there is sufficient evidence to indicate a difference in the means time served for fraud is less than that for firearms offenses.

Step-by-step explanation:

Fraud Firearm

15.2 9.2 20.1 15.7

11.2 15.8 20.4 9.8

7.2 5.2 13.1 13.5

7.7 4.9 20.7 23.1

7.4 9.8 10.4 22.2

∑ 93.6 169

Fraud (X1i)² Firearm(X2j)²

231.04 84.64 404.01 246.49

125.44 249.64 416.16 96.04

51.84 27.04 171.61 182.25

59.29 24.01 428.49 533.61

54.76 96.04 108.16 492.84

∑1003.79 3079.66

We formulate the null and alternative hypothesis as

H0: μ1 - μ2 ≤ 0 i.e. the fraud meantime is less than that for firearms offenses.

Ha: μ1- μ2 > 0 i.e. the fraud meantime is greater than that for firearms offenses.

We set the significance level at ∝= 0.01

The test statistic, if H0 is true , is

t= x1`1- x`2/ Sp√1/n1+ 1/n2

which has a student t- distribution with ν= n1+ n2 -2 = 18 degrees of freedom

The critical region consists of all t- values which are greater than or equal to t> t(0.01)(18)= 2.522

Computations :

X1`= ∑X1i/n1 = 93.6/10= 9.36

X2`=∑X2j/n2=169/10 = 16.9

∑( X1i- x`1)² = ∑X1i²- (∑X1i)²/n1

= 1003.79 - 876.096/10

= 100.379- 87.6096

=12.7694

∑( X2j- x`2)² = ∑X2j²- (∑X2j)²/n2

= 3079.66 - 28561/10

= 3079.66- 2856.1

=223.56

Sp²= 12.7694+223.56/18= 13.129

Sp = √13.129 =3.623

t= 9.36-16.9/ 3.623√0.1+0.1

t= -7.54/ 1.62

t= -4.654

Conclusion: Since the computed value of t= -4.654 does not fall in the critical region we therefore accept the null hypothesis . We conclude that there is sufficient evidence to indicate a difference in the means time served for fraud is less than that for firearms offenses.

The meantime served for fraud is less than that for firearms offenses.

8 0

3 years ago

Explain the arrangements of the atoms, I already have the first part done

Vlada [557]

Step-by-step explanation:

The ongoing arrangement of metal atoms in a three-dimensional regular ordered pattern is known in chemistry as a lattice structure. A simple model of an atom is a central atomic nucleus with electrons arranged in shells at different distances from the nucleus.

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3 years ago

What type of function is y = 7(5/4)*?

zhenek [66]

Answer: Slope-Intercept Form

Step-by-step explanation: y = mx +b b is the y-intercept and slope m

7 0

3 years ago