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3 years ago

On the number line below, P represents a number. What is the value of the opposite of that number?

Mathematics

1 answer:

Afina-wow [57]3 years ago

8 0

Answer: choice D) minus 1 and 2 over 4
(which is the same as writing $-1 \frac{2}{4}$ or writing -1 & 2/4)

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The point P is exactly halfway between 1 and 2. So it's at the point 1&1/2 or 1&2/4
1/2 = 2/4

Flip the point from positive to negative and you get the final answer to be -1 & 2/4

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A random sample of 64 students at a university showed an average age of 20 years and a sample standard deviation of 4 years. The

adelina 88 [10]

Answer:

The 90% confidence level is $19.15< L < 20.85$

Step-by-step explanation:

From the question we are told that

The sample size is $n = 64$

The mean age is $\= x = 20 \ years$

The standard deviation is $\sigma = 4 \ years$

Generally the degree of freedom for this data set is mathematically represented as

$df = n - 1$

substituting values

$df = 64 - 1$

$df = 63$

Given that the level of confidence is 90% the significance level is mathematically evaluated as

$\alpha = 100 - 90$

$\alpha =$ 10 %

$\alpha = 0.10$

Now $\frac{\alpha }{2} = \frac{0.10}{2} = 0.05$

Since we are considering a on tail experiment

The critical value for half of this significance level at the calculated degree of freedom is obtained from the critical value table as

$t_{df, \frac{ \alpha}{2} } = t_{63, 0.05 } = 1.669$

The margin for error is mathematically represented as

$MOE = t_{df , \frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

substituting values

$MOE = 1.699 * \frac{4 }{\sqrt{64} }$

$MOE = 0.85$

he 90% confidence interval for the true average age of all students in the university is evaluated as follows

$\= x - MOE < L < \= x + E$

substituting values

$20 - 0. 85 < L < 20 + 0.85$

$19.15< L < 20.85$

4 0

3 years ago

Select the correct answer from each drop-down menu.A carpenter is building a triangular frame. She has three pieces of wood meas

yaroslaw [1]

Explanation

Answer:

The carpenter can build the triangular frame by cutting the 12 foot piece by 2foot

8 0

10 months ago

Quadratic equations Please Help Me!!!!!!

igor_vitrenko [27]

The roots are 1 +√7 and 1 -√7.

<h3>What is Quadratic equation?</h3>

A quadratic equation in the variable x is an equation of the form ax² + bx + c= 0, where a, b, c are real numbers, a≠0

Given equation:

y= x²+2x-6

First,

Half the coefficient of x and add and subtract the square of (b/2)

y= x²+2x-6+(1)²-(1)²

y= x²+2x+(1)² -6 -(1)²

y= (x+1)² -7

Now, equate y=0

(x+1)² -7 =0

(x+1)² = 7

x+1= ±√7

x=1 ±√7

Hence, the roots are 1 +√7 and 1 -√7.

Learn more about quadratic equation here:

brainly.com/question/1962219

#SPJ1

7 0

1 year ago

Which of the following is a polynomial?

Artyom0805 [142]

Answer:

Step-by-step explanation:

8 0

3 years ago

The number 12,089 is?

Ratling [72]

12,089 is less than 12,098
The first choice is the correct one.

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3 years ago