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3 years ago

Select the property that allows the statement 10 = y to be written y = 10.

Mathematics

2 answers:

tester [92]3 years ago

8 0

Answer:

symmetric

Step-by-step explanation:

put into a mirror, it's the same back and froth (mirror is the equal sign)

10=y and y=10

Dmitry_Shevchenko [17]3 years ago

5 0

If a = b , then b = a

It's symmetric property of equality.

Answer: symmetric (if 10 = y, then y = 10)

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Gribbles are small, pale white, marine worms that bore through wood. While sometimes considered a pest since they can wreck wood

Stells [14]

<u>Answer with explanation:</u>

As per given , we have

A sample of 50 gribbles finds an average length of 3.1 mm with a standard deviation of 0.72.

i.e. n= 50

Degree of freedom = n-1=49

$\overline{x}=3.1\ mm$

$s=0.72\ mm$

The point estimate of the population mean is equals to the sample mean.

i.e. The best estimate for the length of gribbles= 3.1 mm

Also, population standard deviation is unknown , then the confidence interval would be :

$E=t_{\alpha/2, df}\dfrac{s}{\sqrt{n}}$

For df= 49 and significance level of 0.05 , the t- value (using t-distribution table) would be :

$t_{0.05/2, 49}=t_{0.025, 49}= 2.010$

Now, Margin of error : $E=(2.010)\dfrac{0.72}{\sqrt{50}}$

$=0.204664986747\approx0.20$

95% confidence interval : $(\overline{x}-E,\ \overline{x}+E)$

$i.e.\ (3.1-0.20, 3.1+0.20)=(2.90,\ 3.30)$

3 0

4 years ago

an oatmeal recipe calls for 1 1/2 cups of oat and 2 1/2 cups of water. A If you have 3 cups of oats,how many cups of oats water

natima [27]

$\bf \stackrel{mixed}{1\frac{1}{2}}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}}~\hfill \stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}}\\\\[-0.35em]\rule{34em}{0.25pt}$

$\bf \begin{array}{ccll}oats&water\\\cline{1-2}\frac{3}{2}&\frac{5}{2}\\[0.8em]3&x\end{array}\implies \cfrac{~~\frac{3}{2}~~}{3}=\cfrac{~~\frac{5}{2}~~}{x}\implies \cfrac{~~\frac{3}{2}~~}{\frac{3}{1}}=\cfrac{~~\frac{5}{2}~~}{\frac{x}{1}}\implies \cfrac{3}{6}=\cfrac{5}{2x}\\\\\\6x=30\implies x=\cfrac{30}{6}\implies \blacktriangleright x=5 \blacktriangleleft$

$\bf \begin{array}{ccll}oats&water\\\cline{1-2}\frac{3}{2}&\frac{5}{2}\\[0.8em]2&x\end{array}\implies \cfrac{~~\frac{3}{2}~~}{2}=\cfrac{~~\frac{5}{2}~~}{x}\implies \cfrac{~~\frac{3}{2}~~}{\frac{2}{1}}=\cfrac{~~\frac{5}{2}~~}{\frac{x}{1}}\implies \cfrac{3}{4}=\cfrac{5}{2x}\\\\\\6x=20\implies x=\cfrac{20}{6}\implies x=\cfrac{10}{3}\implies \blacktriangleright x=3\frac{1}{3} \blacktriangleleft$

$\bf \begin{array}{ccll}oats&water\\\cline{1-2}\frac{3}{2}&\frac{5}{2}\\[0.8em]5&x\end{array}\implies \cfrac{~~\frac{3}{2}~~}{5}=\cfrac{~~\frac{5}{2}~~}{x}\implies \cfrac{~~\frac{3}{2}~~}{\frac{5}{1}}=\cfrac{~~\frac{5}{2}~~}{\frac{x}{1}}\implies \cfrac{3}{10}=\cfrac{5}{2x}\\\\\\6x=50\implies x=\cfrac{50}{6}\implies x=\cfrac{25}{3}\implies \blacktriangleright x=8\frac{1}{3} \blacktriangleleft$

$\bf \begin{array}{ccll}oats&water\\\cline{1-2}\frac{3}{2}&\frac{5}{2}\\[0.8em]x&3\end{array}\implies \cfrac{~~\frac{3}{2}~~}{x}=\cfrac{~~\frac{5}{2}~~}{3}\implies \cfrac{~~\frac{3}{2}~~}{\frac{x}{1}}=\cfrac{~~\frac{5}{2}~~}{\frac{3}{1}}\implies \cfrac{3}{2x}=\cfrac{5}{6}\\\\\\18=10x\implies \cfrac{18}{10}=x\implies \cfrac{9}{5}=x\implies \blacktriangleright 1\frac{4}{5}=x \blacktriangleleft$

8 0

3 years ago

Mr. Stanton bought 2.6 yards of fabric for $8.94. About how much was the cost per yard?

lapo4ka [179]

In order to find CPU (Cost per unit) we must take the cost, and divide it by the number of units.

So,

$\$8.94\div2.6=\$3.4384$

Since we are talking about money, it is implied to round to the nearest cent, so the final answer is

$3.44

4 0

3 years ago

To show that polygon ABCDE is congruent to polygon FGHIJ, a must be used to make the two polygons coincide. A sequence of two tr

Sati [7]

Hello.

The minimum number of rigid transformations required to show that polygon ABCDE is congruent to polygon FGHIJ is 2 (translation and rotation).

A rotation translation must be used to make the two polygons coincide.

A sequence of transformations of polygon ABCDE such that ABCDE does not coincide with polygon FGHIJ is a translation 2 units down and a 90° counterclockwise rotation about point D

Have a nice day

7 0

3 years ago

Read 2 more answers

Which of the following lines is parallel to the line y = 4x - 6?

Dovator [93]

Answer:

d y=4x + 5

Step-by-step explanation:

Is parallel beacause they have the same slope, remember

y=ax + c

where a is the slope of the line

8 0

3 years ago