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3 years ago

Li Juan solves the equation below by first squaring both sides of the equation.

Mathematics

2 answers:

emmasim [6.3K]3 years ago

8 0

-3w + 13
Happy New Year

ANTONII [103]3 years ago

4 0

Answer:

Step-by-step explanation:

(13-2w)^2 = 169 - 52w + 4w^2

(w+6)^2 = w^2 + 12w + 36

Setting them equal:

169 - 52w + 4w^2 = w^2 + 12w + 36

3w^2 - 64w + 133 = 0

Using the quadratic formula, we get

x = (64 +/- sqrt(64^2 - 4*3*133))/6

64^2-12*133 = 2500. sqrt(2500) = 50.

x = (64 +/- 50)/6.

x = 19 or 14/6 = 7/3.

Solving the original equation:

7 = 3w.

w = 7/3.

Therefore 19 is extraneous.

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deff fn [24]

Answer:

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Step-by-step explanation:

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7 0

2 years ago

Leah loves chicken wings and is comparing the deals at three different restaurants. Buffalo Bills has 888 wings for \$7$7dollar

ella [17]

Cost of chicken wings at Buffalo Bills = 8 wings for $7

Cost of 1 wing at Buffalo Bills = $\frac{7}{8} =0.875$

Cost of chicken wings at Buffalo Mild Wings = 12 wings for $10

Cost of 1 wing at Buffalo Mild Wings = $\frac{10}{12}= 0.833$

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Cost of 1 wing at Wingers = $\frac{17}{20}= 0.850$

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8 0

2 years ago

Read 2 more answers

A poll of 1,000 randomly selected registered voters was taken and 680 responded that they favor candidate X for mayor (p 1 = 0.6

Zielflug [23.3K]

Answer:

The interval (-0.0199, 0.0510) represents the region of values where the true difference (in population terms now) between the initial proportion of registered voters that favour candidate X and the proportion of registered voters that favour candidate X just before election can take on with a confidence level of 90%.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence. It is usually obtained from the sample.

p₁ represents the proportion of registered voters that favour candidate X in the initial poll, way before the election.

p₂ represents the proportion of registered voters that favour candidate X in the poll just before the election.

So, for this question the confidence interval for the true difference between the population proportion of registered voters that favour candidate X way before the elections and the population proportion that favour candidate X just before the election lies within (-0.0199, 0.0510) with a confidence interval of 90%.

Confidence interval is calculated mathematically as thus:

Confidence Interval = (Difference in Sample proportion) ± (Margin of error)

Margin of Error is the width of the confidence interval about the difference in the two sample proportions.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value = 1.645 (obtained from the z-tables because the sample size is large enough to ignore that information about the population standard deviation isn't given and t-critical value approximates z-critical value)

Hope this Helps!!!

4 0

3 years ago

In destroit at 10 am,the temperature was -6 degrees.By 2 pm,it had increased 20 degrees.what was the temperature at 11 am? (hint

MAVERICK [17]

Answer:

Step-by-step explanation:

6 0

3 years ago

NARA [144]

Answer:

PB = 1.8

Step-by-step explanation:

PQ = 8 cm, BC = 10 cm and AB = 9 cm

∆ABC is similar to ∆APQ.

Therefore:

$\frac{AB}{AP} = \frac{BC}{PQ}$

Plug in the values

$\frac{9}{AP} = \frac{10}{8}$

Cross multiply

AP × 10 = 8 × 9

AP × 10 = 72

Divide both sides by 10

AP = 7.2

PB = AB - AP

PB = 9 - 7.2

PB = 1.8

4 0

2 years ago