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TiliK225 [7]
3 years ago
13

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
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