How to prove the isosceles triangle

Shea wrote the expression 5(y+2)+4 to show the amount of money five friends paid for snacks at a baseball game.Which espression

zhenek [66]

Answer: Algebraic linear expression

Step-by-step explanation:

An algebraic expression in mathematics is an expression built up from integer constants with

unknown variables, and the algebraic operations. For example, 6x² − 2xy + 20 is an algebraic expression which is quadratic in nature.

The general formular for algebraic linear expression is Y - MX - C

6 0

3 years ago

The following function represents the value of a house after x years: f(x) = 242,000(0.96)x What does 0.96 represent?

9966 [12]

Because the 0.96 is less than 1, it means that the house loses value over the years.

Convert 0.96 to a percent: 0.96 = 96%

100% - 96% = 4%

The house loses 4% of it's value every year.

5 0

3 years ago

Help AB and CD are straight lines find z

chubhunter [2.5K]

Answer: z=16

Step-by-step explanation:

Angles on a straight line add up to 180.

As AB is a straight line we can use that to help us find z.

So you would do 68+85+11=164 (I got the 11 from the angle trapped between like C and F as opposite angles are the same).

Then you would do 180-164=16

So z=16

Hope this helps :)

3 0

3 years ago

A store has a sale on paper cups, 200 cups for $15.00. During the sale, what is the unit price per cup?

Anna35 [415]

Answer:

it's either 200:15 or 20:15 or 15:20

Step-by-step explanation:

6 0

4 years ago

The National Center for Education Statistics surveyed a random sample of 4400 college graduates about the lengths of time requir

Paha777 [63]

Answer:

95% confidence interval for the mean time required to earn a bachelor’s degree by all college students is [5.10 years , 5.20 years].

Step-by-step explanation:

We are given that the National Center for Education Statistics surveyed a random sample of 4400 college graduates about the lengths of time required to earn their bachelor’s degrees. The mean was 5.15 years and the standard deviation was 1.68 years respectively.

Firstly, the pivotal quantity for 95% confidence interval for the population mean is given by;

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

where, $\bar X$ = sample mean time = 5.15 years

$\sigma$ = sample standard deviation = 1.68 years

n = sample of college graduates = 4400

$\mu$ = population mean time

Here for constructing 95% confidence interval we have used One-sample z test statistics although we are given sample standard deviation because the sample size is very large so at large sample values t distribution also follows normal.

So, 95% confidence interval for the population mean, $\mu$ is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5%

level of significance are -1.96 & 1.96}

P(-1.96 < $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ < 1.96) = 0.95

P( $-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

95% confidence interval for $\mu$ = [ $\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ , $\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ]

= [ $5.15-1.96 \times {\frac{1.68}{\sqrt{4400} } }$ , $5.15+1.96 \times {\frac{1.68}{\sqrt{4400} } }$ ]

= [5.10 , 5.20]

Therefore, 95% confidence interval for the mean time required to earn a bachelor’s degree by all college students is [5.10 years , 5.20 years].

8 0

3 years ago