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2 years ago

If f(x) = 2x + 3 and g(x) = 3x - 9, find (f + g)(x).

Mathematics

1 answer:

coldgirl [10]2 years ago

5 0

Answer:

5x-6

Step-by-step explanation:

f(x) = 2x + 3

g(x) = 3x - 9

f(x) + g(x) = 2x + 3 + 3x-9

= 5x-6

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A study sampled 350 upperclassmen (Group 1) and 250 underclassmen (Group 2) at high schools around the city of Houston. The stud

iris [78.8K]

Answer:

$-0.048$

Do not reject $H_0:P_1-P_2=0$

Step-by-step explanation:

From the question we are told that

Sample size $n_1=350$

Sample size $n_2=250$

Sample proportion 1 $\hat P= \frac{25}{350} =>0.07$

Sample proportion 2 $\hat P= \frac{19}{250} =>0.076$

95% confidence interval

Generally for 95% confidence level

Level of significance

$\alpha = 1-0.95=>0.05$

$\alpha /2=\frac{0.05}{2} =>0.025$

Therefore

$Z_a_/_2=1.96$

Generally the equation for confidence interval between $P_1 - P_2$ is mathematically given as

$(\hat P_1-\hat P_2)\pm Z_a_/_2\sqrt{\frac{\hat P_1(1-\hat P_1)}{n_1}+\frac{\hat P_2(1-\hat P_2)}{n_2} }$

$(0.07-0.076)\pm 1.96\sqrt{\frac{0.07(1-0.07)}{350}+\frac{0.076(1-0.076)}{250} }$

$(0.07-0.076)\pm 1.96\sqrt{4.66896*10^-^4 }$

$(-0.006)\pm 0.042$

$(-0.006)- 0.042=>-0.048$

$(-0.006)+ 0.042=>0.036$

Therefore

Confidence interval is

$-0.048$

Conclusion

Given the confidence interval has zero

Therefore do not reject $H_0:P_1-P_2=0$

6 0

2 years ago

A triangle has side lengths of (3.76 + 1.7) centimeters, (1.36 + 1.1) centimeters,

pychu [463]

Answer:

Step-by-step explanation:

our triangle has one length: 3.76+1.7=5.46

another side: 1.36+1.1=2.46

last side: 7.1+5.1=12.20

Perimeter is=5.46+2.46+12.20=20.12 cm

7 0

3 years ago

The prime factors of a composite number must be less than a square root of the composite number. True or False?

Oksi-84 [34.3K]

Answer: It depends on what you're asking. If it can be equal, then yes. If it must be less, then no.

Step-by-step explanation:

Every composite number has a square root equal or less than its square root.

7 0

2 years ago

Solve for the value of x:-<br> <img src="https://tex.z-dn.net/?f=4x-5%20%3D%203" id="TexFormula1" title="4x-5 = 3" alt="4x-5 = 3

enot [183]

$4x-5 = 3$

$4x = 8$

$x = 8÷4$

$x = 2$

5 0

2 years ago

Read 2 more answers

A box of staples contains 6 x 103 staples and weighs 12 oz. How much does one staple

omeli [17]

Answer:

2 * 10^-3 oz

Step-by-step explanation:

Given that:

Number of staples per box = 6 * 10^3

Weight of staple box = 12 oz

Weight per staple = (weight of staple box / number of staples per box)

Weight per staple = 12 / 6 * 10^3

Weight per staple = 12 / 6 * 1000

= 12 / 6000

= 0.002 oz

= 2 * 10^-3 oz

6 0

2 years ago