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3 years ago

Please help if you can!

Mathematics

1 answer:

stealth61 [152]3 years ago

5 0

Given:

The figure of a triangle DEF.

To find:

The coordinate of image of given triangle after reflection over y-axis.

Solution:

The vertices of given triangle are D(1,4), E(4,3), F(2,0).

If a figure is reflected over the y-axis, then the rule of reflection is

$(x,y)\to (-x,y)$

Using this rule, we get

$D(1,4)\to D'(-1,4)$

$E(4,3)\to E'(-4,3)$

$F(2,0)\to F'(-2,0)$

Therefore, the coordinates of image are D'(-1,4), E'(-4,3) and F'(-2,0).

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In a 3-digit number, the hundreds digit is four more than the ones digit and the tens digit is twice the hundreds digit. If the

AVprozaik [17]

If the ones digit is "d", the number is (d+4)(2(d+4))(d), and the sum of digits is 4d+12 = 12. Then d=0.

The number is 480.

8 0

3 years ago

The weekly salaries of sociologists in the United States are normally distributed and have a known population standard deviation

Lostsunrise [7]

Answer:

$ME =z_{\alpha/2} \frac{\sigma}{\sqrt{n}}$

The confidence level is 0.98 and the significance is $\alpha=1-0.98 =0.02$ and $\alpha/2 =0.01$ and the critical value using the table is:

$z_{\alpha/2}= 2.326$

And replacing we got:

$ME=2.326 \frac{425}{\sqrt{22}}= 210.760\ approx 210.76$

Step-by-step explanation:

For this case we have the following info given:

$\sigma = 425$ represent the population deviation

$n =22$ the sample size

$\bar X =1520$ represent the sample mean

We want to find the margin of error for the confidence interval for the population mean and we know that is given by:

$ME =z_{\alpha/2} \frac{\sigma}{\sqrt{n}}$

The confidence level is 0.98 and the significance is $\alpha=1-0.98 =0.02$ and $\alpha/2 =0.01$ and the critical value using the table is:

$z_{\alpha/2}= 2.326$

And replacing we got:

$ME=2.326 \frac{425}{\sqrt{22}}= 210.760\ approx 210.76$

3 0

3 years ago

Is figure B and scale copy of figure A?

kumpel [21]

Answer:

Yes it is

Step-by-step explanation:

7 0

2 years ago

Hi i need some help on this it will really help

Fiesta28 [93]

Answer:

He can afford 5 large cheese pizzas.

Step-by-step explanation:

$40 ÷ $7.50 = 5.333333

You cannot buy 1/3 of a pizza, so you round the number to a whole number.

5.333333 ----> 5

5 large cheese pizzas

7 0

3 years ago

Read 2 more answers

Suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. How many times would we have to f

BabaBlast [244]

Answer:

153 times

Step-by-step explanation:

We have to flip the coin in order to obtain a 95.8% confidence interval of width of at most .14

Width = 0.14

ME = $\frac{width}{2}$

ME = $\frac{0.14}{2}$

ME = $0.07$

$ME\geq z \times \sqrt{\frac{\widecap{p}(1-\widecap{p})}{n}}$

use p = 0.5

z at 95.8% is 1.727(using calculator)

$0.07 \geq 1.727 \times \sqrt{\frac{0.5(1-0.5)}{n}}$

$\frac{0.07}{1.727}\geq sqrt{\frac{0.5(1-0.5)}{n}}$

$(\frac{0.07}{1.727})^2 \geq \frac{0.5(1-0.5)}{n}$

$n \geq \frac{0.5(1-0.5)}{(\frac{0.07}{1.727})^2}$

$n \geq 152.169$

So, Option B is true

Hence we have to flip 153 times the coin in order to obtain a 95.8% confidence interval of width of at most .14 for the probability of flipping a head

6 0

3 years ago