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3 years ago

Please help me w/H.W please show the work

Mathematics

2 answers:

Oliga [24]3 years ago

8 0

Answer:

1). (3² - 4²) = 29

2). 5a - 7b + b² = -15

Step-by-step explanation:

Points to remember

1) (a² - b²) = (a + b) (a - b)

Solve 22 - (3² - 4²)

To find (3² - 4²)

(3² - 4²) can be written as,

(3² - 4²) = (3 + 4 ) (3 - 4) = 7 * -1 = -7

22 - (3² - 4²) = 22 - (-7) = 22 + 7 = 29

22 - (3² - 4²) = 29

To solve 5a - 7b + b²for a = -1 and b= 5

Substitute the value of a and b in given expression we get,

5a - 7b + b² = (5 * -1) - (7 * 5) + 5²

= -5 - 35 + 25 = -15

Therefore 5a - 7b + b² = -15

monitta3 years ago

3 0

1) 29

2) -15

//Hope this helps.

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In studies for a medication, 3 percent of patients gained weight as a side effect. Suppose 643 patients are randomly selected.

timofeeve [1]

Part a)

It was given that 3% of patients gained weight as a side effect.

This means

$p = 0.03$

$q = 1 - 0.03 = 0.97$

The mean is

$\mu = np$

$\mu = 643 \times 0.03 = 19.29$

The standard deviation is

$\sigma = \sqrt{npq}$

$\sigma = \sqrt{643 \times 0.03 \times 0.97}$

$\sigma =4.33$

We want to find the probability that exactly 24 patients will gain weight as side effect.

P(X=24)

We apply the Continuity Correction Factor(CCF)

P(24-0.5<X<24+0.5)=P(23.5<X<24.5)

We convert to z-scores.

$P(23.5 \: < \: X \: < \: 24.5) = P( \frac{23.5 - 19.29}{4.33} \: < \: z \: < \: \frac{24.5 - 19.29}{4.33} ) \\ = P( 0.97\: < \: z \: < \: 1.20) \\ = 0.051$

Part b) We want to find the probability that 24 or fewer patients will gain weight as a side effect.

P(X≤24)

We apply the continuity correction factor to get;

P(X<24+0.5)=P(X<24.5)

We convert to z-scores to get:

$P(X \: < \: 24.5) = P(z \: < \: \frac{24.5 - 19.29}{4.33} ) \\ = P(z \: < \: 1.20) \\ = 0.8849$

Part c)

We want to find the probability that

11 or more patients will gain weight as a side effect.

P(X≥11)

Apply correction factor to get:

P(X>11-0.5)=P(X>10.5)

We convert to z-scores:

$P(X \: > \: 10.5) = P(z \: > \: \frac{10.5 - 19.29}{4.33} ) \\ = P(z \: > \: - 2.03)$

$= 0.9788$

Part d)

We want to find the probability that:

between 24 and 28, inclusive, will gain weight as a side effect.

P(24≤X≤28)=

P(23.5≤X≤28.5)

Convert to z-scores:

$P(23.5 \: < \: X \: < \: 28.5) = P( \frac{23.5 - 19.29}{4.33} \: < \: z \: < \: \frac{28.5 - 19.29}{4.33} ) \\ = P( 0.97\: < \: z \: < \: 2.13) \\ = 0.1494$

3 0

3 years ago

Please answer all 5 xoxo <3

romanna [79]

Answer:

First Image: Option D

Second Image: Option D

Third Image: Option C

Fourth Image: Option B

Fifth Image: Option B

Step-by-step explanation:

First Image:

Supplementary angles is two angles whose sum is 180 degrees (straight line)
180 - 47 = 133°
? is an obtuse angle is any angle greater than 90° which checks the answer

Second Image:

A triangle angles adds up to 180°
Two angles are already given
72 + 45 + ? = 180° → 117 + ? = 180° → ? = 63°
? is an acute angle is an angle that measures between 90° and 0°

Third Image:

Supplementary angles is two angles whose sum is 180 degrees (straight line)
180 - 110 = 70°
? is an acute angle is an angle that measures between 90° and 0°

Fourth Image:

Supplementary angles is two angles whose sum is 180 degrees (straight line)
180 - 120 = 60°
we are shown a right angle which = 90°
A triangle adds up to 180°
180 - 90 - 60 = 30
? = 30°
? is an acute angle is an angle that measures between 90° and 0°

Fifth Image:

Supplementary angles is two angles whose sum is 180 degrees (straight line)
180 - 85 = 95°
? is an obtuse angle is any angle greater than 90° which checks the answer

Learn more about Triangles here: brainly.com/question/4186813

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2 years ago

3. The MPG (Miles per Gallon) for a mid-size car is normally distributed with a mean of 32 and a standard deviation of .8. What

mariarad [96]

Answer:

93.32 %

Step-by-step explanation:

33.2 is 1.2 away from 32 this is 1.2 / .8 = 1.5 standard deviations ABOVE the mean z -score = + 1.5

from z-score table this corresponds to .9332 this is 93.32 %

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1 year ago

A loan officer makes $15 per hour working 2,000 hours each year. She also gets a fee of $35 for each loan she processes. If she

Afina-wow [57]

Answer:

$61,500

Step-by-step explanation:

For this problem, we will simply take her hourly wage and multiply that by the hours she worked and take her additional earnings for each loan processed and multiply that by the number of loans she processed.

Consider her hourly wage of $15 per hour. If she worked 2000 hours, then we can say she got paid ($15 * 2000) = $30000 for her work that year.

Consider her processing fee of $35 per loan processed. If she processed 900 loans, then we can say she got paid ($35 * 900) = $31500 for her processed loans that year.

Then, to find her yearly total earnings, we simply add those two values. $30000 + $31500 = $61500.

Thus the loan officer made $61500 that year.

Cheers.

7 0

3 years ago

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Maria put trim around a banner that is the shape of a triangle. each side is 22 inches long. maria has 1/2 foot of trim left. wh

marissa [1.9K]

Since Maria is going to put a trim around a triangle-shaped banner with 22 inches long per side, this means that for the banner, it has a total length of 66 inches. 66 inches would be equal to 5.5 foot. This means that the total length of the trim from the start is 7 foot. Hope this helps.

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3 years ago

Please help me w/H.W please show the work​

Please help me w/H.W please show the work