Write the number in scientific notation

Find the erea of the trapezoid.

katrin2010 [14]

9514 1404 393

Answer:

32 yd²

Step-by-step explanation:

Use the area formula with the given dimensions.

A = 1/2(b1 +b2)h . . . . . base lengths b1, b2; height h

A = 1/2(2 +6)8 = 1/2(8)(8) = 32 . . . . square yards

The area of the trapezoid is 32 square yards.

6 0

3 years ago

Pls help on both questions

WINSTONCH [101]

Answer:

Step-by-step explanation:

Both expression are the same :

14 = 2(x + 3)

By expansion :

14 = 2*x + 2*3

14 = 2x + 6

Hence ;

Both expression are the same

Weight of one circle :

Final weight on both sides are equal:

Weight on Left hand side = 14

Weight on right hand side = 3*x + 3*x

Weight on Left hand side = Weight on right hand side

14 = 3x + 3x

14 = 6x

x = 14 / 6

x = 2.333

4 0

3 years ago

There are 100 bacteria in a jar. Every day, the number of bacteria increases 25%. In approximately how many days will there be 5

algol [13]

Use compound interest formula

$\\ \rm\Rrightarrow P(1+r/100)^t=500$

$\\ \rm\Rrightarrow 100(1+0.25)^t=500$

$\\ \rm\Rrightarrow (1.25)^t=5$

$\\ \rm\Rrightarrow log(1.25)^t=log5$

$\\ \rm\Rrightarrow tlog1.25=log5$

$\\ \rm\Rrightarrow t(0.097)=0.3$

$\\ \rm\Rrightarrow t=3.3\approx 3$

Option A

5 0

2 years ago

Read 2 more answers

What is the effect on the graph of the function f(x) =x when f(x) is replaced with f(-x)

Anika [276]

Answer:

The graph would be negative

8 0

3 years ago

Executives from Six Flags, a well-known amusement park chain, had interest in constructing a Six Flags theme park in a location

natima [27]

Answer:

The mean of the sampling distribution for the sample proportion when taking samples of size 500 from this population is equal to 0.248.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

Of the 500 people sampled, 124 said that they would be interested in purchasing season tickets to a Six Flags in Ames.

This means that $p = \frac{124}{500} = 0.248$

The mean of the sampling distribution for the sample proportion when taking samples of size 500 from this population is equal to

By the Central Limit Theorem, it is equal to the sample proportion of 0.248.

4 0

3 years ago