Plz answer within 1 hour will mark brainlest please answer all three!

If 1cm represents 5m, what would be an area of 6 square cm. represent?

Vlad1618 [11]

Answer:

150 m²

Step-by-step explanation:

Given 1 cm represents 5 m

⟹1 cm=5 m

given area =6 cm² =6×(5 m)² =6×25 m²

=150 m²

area of 6 cm² represents 150 m²

7 0

3 years ago

Solve for x: −6 < x − 1 < 9

shtirl [24]

Answer:

$-5$

Step-by-step explanation:

$-6$

If $a$ than $a$ and $u$

$-6$

⇒ Switch sides:-

 $x-1>-6$

⇒ Add 1 to both sides:-

 $x-1+1>-6+1$

$x>-5$

And...

$\:x-1$

⇒ Add 1 to both sides:-

$x-1+1$

$x$

⇒ Now, Combine the intervals:-

 $-5$

OAmalOHopeO

3 0

3 years ago

Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. Th

denpristay [2]

Answer:

(1) Correct option is B.

(2) Correct option is C.

Step-by-step explanation:

The information provided is:

$n_{1}=200,\ \bar x_{1}=22.7,\ s_{1} = 4.5\\n_{2}=200,\ \bar x_{2}=19.7,\ s_{2} = 4.3$

The (1 - α)% confidence interval for the difference between two mean is:

$CI=\bar x_{1}-\bar x_{2}\pm t_{\alpha/2, (n_{1}+n_[2}-2}\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}} }$

The critical value of t is:

$\alpha /2=0.05/2=0.025$

degrees of freedom $=n_{1}+n_{2}-2=200+200-2=398$

$t_{\alpha/2, n_{1}+n_{2}-2}=t_{0.025, 398}=1.96$

Compute the 95% confidence interval for the difference between two mean as follows:

$CI=22.7-19.7\pm 1.96\sqrt{\frac{4.5^{2}}{200}+\frac{4.3^{2}}{200} }\\=3\pm0.8624\\=(2.1376, 3.8624)\\\approx(2.14, 3.86)$

Thus, the 95% confidence interval, (2.14, 3.86) implies that the true mean difference value is contained in this interval with probability 0.95.

Correct option is B.

The null value of the difference between means is 0.

As the value 0 is not in the interval this implies that there is a difference between the two means, concluding that priming does have an effect on scores.

Correct option is C.

4 0

3 years ago

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

ExtremeBDS [4]

Answer:

The percent error based on the average measurements is 0.8%.

Step-by-step explanation:

The standard equation for percent error is [(original - actual)/original} x 100. The original amount is 100 degrees celcius. Your average measurement can be found by adding the three temperatures together and dividing by the number of temperatures collected: 98.5 + 99.3 + 99.8 = 297.63/3 = 99.2. When we place our numbers into the equation and solve, we get: (100 - 99.2)/100 = 0.008 x 100 (to get our percentage) = 0.8%.

5 0

3 years ago

Isabella invested $1300 in an account that pays 4.5% compounded annually. Assuming no deposits or withdrawals are made , find ho

kobusy [5.1K]

Answer:

FV= $2,407.53

Step-by-step explanation:

Giving the following information:

Present Value (PV)= 1,300

Interest rate (i)= 4.5% = 0.045

Number of periods (n)= 14 years

To calculate the future value (FV) of the initial investment after 14 years, we need to use the following formula:

FV= PV*(1 + i)^n

FV= 1,300*(1.045^14)

FV= $2,407.53

6 0

3 years ago