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2 years ago

Delia has 3 5/8 yards of ribbon. About how many 1/4 yard-long pieces can she cut?

Mathematics

1 answer:

tester [92]2 years ago

6 0

Wait is it not at all 14.5 or 14 1/2 Because with the math I did I got 14 1/2

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A random sample of 36 students at a community college showed an average age of 25 years. Assume the ages of all students at the

Pavel [41]

Answer:

98% confidence interval for the average age of all students is [24.302 , 25.698]

Step-by-step explanation:

We are given that a random sample of 36 students at a community college showed an average age of 25 years.

Also, assuming that the ages of all students at the college are normally distributed with a standard deviation of 1.8 years.

So, the pivotal quantity for 98% confidence interval for the average age is given by;

P.Q. = $\frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample average age = 25 years

$\sigma$ = population standard deviation = 1.8 years

n = sample of students = 36

$\mu$ = population average age

So, 98% confidence interval for the average age, $\mu$ is ;

P(-2.3263 < N(0,1) < 2.3263) = 0.98

P(-2.3263 < $\frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } }$ < 2.3263) = 0.98

P( $-2.3263 \times {\frac{\sigma}{\sqrt{n} }$ < ${\bar X - \mu}$ < $2.3263 \times {\frac{\sigma}{\sqrt{n} }$ ) = 0.98

P( $\bar X - 2.3263 \times {\frac{\sigma}{\sqrt{n} }$ < $\mu$ < $\bar X +2.3263 \times {\frac{\sigma}{\sqrt{n} }$ ) = 0.98

98% confidence interval for $\mu$ = [ $\bar X - 2.3263 \times {\frac{\sigma}{\sqrt{n} }$ , $\bar X +2.3263 \times {\frac{\sigma}{\sqrt{n} }$ ]

= [ $25 - 2.3263 \times {\frac{1.8}{\sqrt{36} }$ , $25 + 2.3263 \times {\frac{1.8}{\sqrt{36} }$ ]

= [24.302 , 25.698]

Therefore, 98% confidence interval for the average age of all students at this college is [24.302 , 25.698].

8 0

2 years ago

Solve the equation x² = 1.21 *

gogolik [260]

Answer:

x = 1.1, -1.1

Step-by-step explanation:

This is the answer because:

1) Take the root of both sides and solve.

$\sqrt{1.21}$ = 1.1

2) x can also equal -1.1 because -1.1 times -1.1 gives us a positive 1.21 because negative x negative = positive

Hope this helps!

3 0

2 years ago

Solve the equation<br> below. Show all of your<br> work.<br> 2y + 8 = 2

Gala2k [10]

2y=2_8
2y=_6
Divide both sides by 2 so that y can stand alone
Therefore y=_3

5 0

2 years ago

Read 2 more answers

You work 40 hours/week for 50 weeks and are given the option to be paid hourly or to go on salary. In which situation will you e

Alenkasestr [34]

Answer:

40/50 weeks is the ans

plzzz give brainliest

5 0

3 years ago

Can anyone help me solve this?

12345 [234]

Step-by-step explanation:

a triangle,=180

so 68+35-180=77

then 77+68=145

5 0

2 years ago