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3 years ago

HELPP Which of the following is the quotient of the rational expression shown below?

Mathematics

1 answer:

lapo4ka [179]3 years ago

5 0

Answer:

The correct answer is option D.

(x² - 16)/(4x³ + 6x²)

Step-by-step explanation:

It is given that, (x - 4)/2x² ÷ (2x + 3)/(x + 4)

<u>To find the correct option</u>

(x - 4)/2x² ÷ (2x + 3)/(x + 4)

= (x - 4)/2x² * (x + 4)/(2x + 3)

= [(x - 4)(x + 4)]/(2x²(2x +3)

= (x - 16)/(4x³ + 6x²)

The correct answer is option D.

(x² - 16)/(4x³ + 6x²)

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A hotel wants to know if there's a relationship between gender and the way customers make room reservations. A manager takes a r

padilas [110]

Answer:

Step-by-step explanation:

Here,

H_o: The way of reservation is independent of gender.

H_a: The way of reservation is not independent of gender.

We use a chi square test because we can calculate the expected frequencies for this chart.

Doing an Expected Value Chart,

33.7625 9.7125 30.525

39.2375 11.2875 35.475

Using chi^2 = Sum[(O - E)^2/E],

chi^2 = 4.482385929

With df = (a - 1)(b - 1), where a and b are the number of categories of each variable,

a = 3

b = 2

df = 2

Thus, the critical value is

significance level = 0.05

chi^2(critical) = 5.991464547

Also, the p value is

P = 0.106331579

Thus, comparing chi^2 and chi^2(critical) [or, p and significance level], we FAIL TO REJECT THE NULL HYPOTHESIS.

Thus, there is no significant evidence that the way of reservation is dependent of gender. [CONCLUSION]

6 0

4 years ago

Find GH.<br> picture is attached

Ede4ka [16]

Answer: 4.6

Step-by-step explanation:

GH is equal to 4.6 since it is congruent to JH. GJ is one line, which makes angles GKH and JKH supplementary angles. Since angle GKH = 90, angle JKH must also equal 90, making these triangles similar. However, if you wish to see it done out mathematically, the following explanation is there:

$a^{2} + b^{2} = c^{2}$

3.6^2 + HK^2 = 4.6^2

HK^2 = 4.6^2 - 3.6^2

HK^2 = 8.2

HK = 2.86

HK^2 + GK^2 = GH^2

8.2 + 12.96 = GH^2

GH = 4.6

4 0

3 years ago

Which equation is equivalent to 5= 4/3 (6y +9)?

vekshin1

Answer:

option C

Step-by-step explanation:

$5 = \frac{4}{3}(6y + 9)\\\\5 = \frac{4\times6y}{3} +\frac{4 \times 9}{3}\\\\5= 8y + 12$

8 0

3 years ago

A tailor cuts 378 yards from a roll of fabric to make one jacket. Which expression gives the number of jackets he can make from

USPshnik [31]

The expression that gives the number of Jackets that can be made from a fabric of 1634 yards will be found as follows:
let the number of jackets be x.
the total length of material required to make x jackets cannot exceed 1634 yards, it can be equal to or less than 1634. Thus, the expression will be given as follows:
amount required to make one jacket is 378,hence:
378x≤1634
x≤4.32275
approximating the above we get:
x≤4

6 0

3 years ago

Read 2 more answers

5/6 divided by 3 2/3

Digiron [165]

Answer:1st number: 5/6, 2nd number: 3 2/3

Steps for dividing fractions

Find the reciprocal of the divisor

Reciprocal of

Now, multiply it with the dividend

So,

5 × 3

6 × 11

After reducing the fraction, the answer is

Mark brainlest

6 0

3 years ago