All categories

2 years ago

Find the area of the figure.

Mathematics

1 answer:

nevsk [136]2 years ago

5 0

Answer:

Step-by-step explanation:

Area of the figure is a sum of area of rectangle 4 cm × 7 cm and trapezoid with bases of 19 cm i 7 cm and altitude of 8 cm.

Therefore:

$A=7\cdot4+\dfrac{7+19}2\cdot8=28+26\cdot4=132$

You might be interested in

With a headwind a plane traveled 128 km in 2h. The return trip with a tail wind took 24 min less. Find the air speed of the plan

sertanlavr [38]

Based on the information given, it can be noted that the air speed that the plane has will be 71.1 km per hour.

The number of hours used for the return trip will be:

= 2 hours - 24 minutes.

= 1 hour 36 minutes.

= 1.6 hours.

Therefore, the speed of the air plane will be:

= (128 + 128) / (2 + 1.6)

= 256/3.6.

= 71.1 km per hour.

Learn more about speed on:

brainly.com/question/25860159

6 0

2 years ago

What is 9 kilometers per hour converted into feet per minute?

gogolik [260]

The answer is 492.126 :) Hope it helps!

3 0

2 years ago

There are 2,000 eligible voters in a precinct. A total of 500 voters are randomly selected and asked whether they plan to vote f

Ann [662]

Answer:

$0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647$

$0.7 + 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.753$

And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

a. 0.647 and 0.753

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

The estimated population proportion for this case is:

$\hat p = \frac{350}{500}=0.7$

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

And replacing into the confidence interval formula we got:

$0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647$

$0.7 + 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.753$

And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

a. 0.647 and 0.753

7 0

2 years ago

3x+1/5y=7 solve for y

Vladimir79 [104]

Hello!

First, let's write the problem.
$3x+\frac{1}{5}y=7$
Subtract 3x from both sides.
$3x+\frac{1}{5}y-3x=7-3x$
$\frac{1}{5}y=7-3x$
The opposite of division is multiplication, so we are going to multiply in order to undo the fraction.
$5\cdot \frac{1}{5}y=5\cdot \:7-5\cdot \:3x$

Our final answer would be,
$y=35-15x$

Thanks!
-TetraFish

5 0

3 years ago

Please help :) attached is a photo of the problem!

Mrrafil [7]

Answer:

Oh use M A T H W A Y

4 0

2 years ago