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Pachacha [2.7K]

3 years ago

11

Michael made two trips to the market. On his first trip to the market, he bought x apples on sale for $3 each and y

1 answer:

Galina-37 [17]3 years ago

6 0

Answer:

He bought 8 Apples and 4 banana

Step-by-step explanation:

$3x+2y=32\\5x-2y=32$

Linear Combination (add equations)

$8x+ 0y=64\\8x=64\\x=8\\$

So 8 Apples (X)

the put 8 in for X in either equation

$3(8)+2y=32\\24+2y=32\\2y=8\\y=4$

4 Bananas

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What is the area of an equilateral triangle that has 2 yards and a height of 4.25 ft?

RUDIKE [14]

The first thing you need to do is convert the yards into feet. In one yard there are three feet. So 2*3=6 now you can do the triangle area equation. 6*4.25=25.5 then divide by two. 25.5/2=12.75So the area of the triangle is 12.75 ft^2Hope this helps

5 0

3 years ago

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

Ostrovityanka [42]

Answer:a

a

$336.04 < \mu < 443.96$

b

The margin of error will increase

c

The margin of error will decreases

d

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

So

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

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

3 years ago

If you know the length of sides b and c of a right triangle, which equation represents the length of side a, according to the Py

Reptile [31]

Answer:

A=SqRt(c^2-b^2)

Step-by-step explanation:

a^2 + b^2 = c^2

rearrange to solve for a^2

a^2= c^2-b^2

take the square root of each side

a= square root (c^2-b^2)

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3 years ago

A student can type on average 210 words in three minutes how long would it take for them to type 1001 word paper

Vlada [557]

30 minutes I believe

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mina [271]

Answer:

8

Step-by-step explanation:

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3 years ago