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3 years ago

Use expanded form to help. 5×479=

Mathematics

2 answers:

Strike441 [17]3 years ago

3 0

5x479
2395x esta me dio la respuesta

Kitty [74]3 years ago

3 0

Five × Four hundred seventy nine

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The amount of money spent on textbooks per year for students is approximately normal.

Ostrovityanka [42]

Answer:a

$336.04 < \mu < 443.96$

The margin of error will increase

The margin of error will decreases

The 99% confidence interval is $0.4107 < p < 0.4293$

Step-by-step explanation:

From the question we are told that

The sample size $n = 19$

The sample mean is $\= x = \$\ 390$

The standard deviation is $\sigma = \$ \ 120$

Given that the confidence level is 95% then the level of significance is mathematically represented as

$\alpha = 100 - 95$

$\alpha = 5 \%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table

$Z_{\frac{\alpha }{2} } = 1.96$

The margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

=> $E = 1.96 * \frac{120}{\sqrt{19} }$

=> $E = 53.96$

The 95% confidence interval is

$\= x - E < \mu < \= x + E$

=> $390 - 53.96 < \mu < 390 - 53.96$

=> $336.04 < \mu < 443.96$

When the confidence level increases the $Z_{\frac{\alpha }{2} }$ also increases which increases the margin of error hence the confidence level becomes wider

Generally the sample size mathematically varies with margin of error as follows

$n \ \ \alpha \ \ \frac{1}{E^2 }$

So if the sample size increases the margin of error decrease

The sample proportion is mathematically represented as

$\r p = \frac{210}{500}$

$\r p = 0.42$

Given that the confidence level is 0.99 the level of significance is $\alpha = 0.01$

The critical value of $\frac{\alpha }{2}$ from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 2.58$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} }* \sqrt{ \frac{\r p (1- \r p )}{n} }$

=> $E = 0.42 * \sqrt{ \frac{0.42 (1- 0.42 )}{ 500} }$

=> $E = 0.0093$

The 99% confidence interval is

$\r p - E < p < \r p + E$

$0.42 - 0.0093 < p < 0.42 + 0.0093$

$0.4107 < p < 0.4293$

4 0

4 years ago

What is the solution to the inequality x+(7+2x)≤−3x?

3241004551 [841]

Answer:

don't press that link

Step-by-step explanation:

8 0

3 years ago

The temperature, T , of a given mass of gas varies inversely with its volume, V . The temperature of a certain gas with volume o

alekssr [168]

We know that

if t<span>he temperature T of a given mass of gas varies inversely with its volume V
</span>then
T=k/V

Step 1
Find the value of k
for T=30º C and V=105 cm³
we have
T=k/V--------> k=T*V--------> k=30*105=3150 °C*cm³

therefore
for V=84 cm³
T=3150/84=37.5 °C

the answer is 37.5 °C

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3 years ago

Min Jee wants to build a small patio using either brick or paver stones. It will be 70 inches long and 49 inches wide. Each bric

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brainly.com/question/283608 the answer is here and all the work too

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3 years ago

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A toy company has determined that the revenue generated by a particular toy is modeled by the following equation:

Artemon [7]

R(x) = 11x - 0.025x^2
Revenue is maximum when dr(x)/dx = 0
dr(x)/dx = 11 - 0.05x = 0
0.05x = 11
x = 11/0.05 = 220
The revenue will be maximum when 220000 toys are produced.

r(220) = 11(220) - 0.025(220)^2 = 2,420 - 1,210 = 1,210
Therefore, maximum revenue = $1210000

8 0

3 years ago