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Natasha_Volkova [10]
3 years ago
12

4(-8x + 5) - (-33x - 26) =

Mathematics
1 answer:
rosijanka [135]3 years ago
8 0
<h2>4(-8x + 5) - (-33x - 26) =</h2><h2>-32x + 20 + 33x + 26=                      (distributive)</h2><h2>-32x  + 33x + 26 + 20=                     (combine like terms)</h2><h2>  x + 46</h2>

Hope it helps.

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GarryVolchara [31]

Answer:

\mu_p -\sigma_p = 0.74-0.0219=0.718

\mu_p +\sigma_p = 0.74+0.0219=0.762

68% of the rates are expected to be betwen 0.718 and 0.762

\mu_p -2*\sigma_p = 0.74-2*0.0219=0.696

\mu_p +2*\sigma_p = 0.74+2*0.0219=0.784

95% of the rates are expected to be betwen 0.696 and 0.784

\mu_p -3*\sigma_p = 0.74-3*0.0219=0.674

\mu_p +3*\sigma_p = 0.74+3*0.0219=0.806

99.7% of the rates are expected to be betwen 0.674 and 0.806

Step-by-step explanation:

Check for conditions

For this case in order to use the normal distribution for this case or the 68-95-99.7% rule we need to satisfy 3 conditions:

a) Independence : we assume that the random sample of 400 students each student is independent from the other.

b) 10% condition: We assume that the sample size on this case 400 is less than 10% of the real population size.

c) np= 400*0.74= 296>10

n(1-p) = 400*(1-0.74)=104>10

So then we have all the conditions satisfied.

Solution to the problem

For this case we know that the distribution for the population proportion is given by:

p \sim N(p, \sqrt{\frac{p(1-p)}{n}})

So then:

\mu_p = 0.74

\sigma_p =\sqrt{\frac{0.74(1-0.74)}{400}}=0.0219

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ). Broken down, the empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

\mu_p -\sigma_p = 0.74-0.0219=0.718

\mu_p +\sigma_p = 0.74+0.0219=0.762

68% of the rates are expected to be betwen 0.718 and 0.762

\mu_p -2*\sigma_p = 0.74-2*0.0219=0.696

\mu_p +2*\sigma_p = 0.74+2*0.0219=0.784

95% of the rates are expected to be betwen 0.696 and 0.784

\mu_p -3*\sigma_p = 0.74-3*0.0219=0.674

\mu_p +3*\sigma_p = 0.74+3*0.0219=0.806

99.7% of the rates are expected to be betwen 0.674 and 0.806

5 0
3 years ago
Which polynomial is in standard form? A) 26x^5+12x^7-8x^3+6x
Bess [88]
It's C.  In order to be in standard form you have to have all your exponents in descending order.  They don't all have to be there in order, the ones that are just have to go from highest to lowest.
7 0
3 years ago
Read 2 more answers
Find the measure of each interior angle. Round to the nearest hundredth.
Butoxors [25]

Answer:

x = 76.80°

4x - 142 = 165.18°

x/5 = 15.36°

5x/9 + 60 = 102.66°

Step-by-step explanation:

Total angle in a quadrilateral is 360

x + 4x - 142 + x/5 + (5/9)x + 60 = 360

259x/45 + - 82 = 360

259x/45 = 442

x = 76.7953668

x = 76.80°

4x - 142 = 165.18°

x/5 = 15.36°

5x/9 + 60 = 102.66°

8 0
3 years ago
Reliable food sources and the ability to settle in one place contributed to what?
kykrilka [37]

Answer:

Probably A?

Step-by-step explanation:

6 0
2 years ago
What is the volume of a hemisphere with a radius of 3.6cm, rounded to the nearest tenth of a cubic cm?
drek231 [11]

Answer:

97.7161 {cm}^{3}

Step-by-step explanation:

<h3>Input Data :</h3>

Length = 3.6 cm

<h3>Objective :</h3>

Find the volume of Hemisphere.

<h3>Formula :</h3>

Volume =

\frac{ 2\pi {r}^{3} }{3}

<h3>Solutions</h3>

volume =

<h3>\frac{2 \times 3.1416 \times 3.6 ^{3} }{3}</h3>

\frac{2 \times 3.1416 \times 46.656}{3}

\frac{293.1483}{3}

volume = 97.7161 {cm}^{3}

8 0
3 years ago
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