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3 years ago

How can you check your work to make sure the value of a variable makes an equation true? Explain.

Mathematics

2 answers:

Nadya [2.5K]3 years ago

7 0

Answer:

To make a true equation, check your math to make sure that the values on each side of the equals sign are the same. Ensure that the numerical values on both sides of the "=" sign are the same to make a true equation. For example, 9 = 9 is a true equation. 5 + 4 = 9 is a true equation.

stiks02 [169]3 years ago

6 0

Answer:

Evaluate the left-hand side expression at the given value to get a number.

Evaluate the right-hand side expression at the given value to get a number.

See if the numbers match.

Step-by-step explanation:

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A random sample of 1000 registered voters in Flagstaff found 760 registered voters who support immigration reform. Find a 95% co

dusya [7]

Answer: $(0.7335,\ 0.7865)$

Step-by-step explanation:

Given : A random sample of 1000 registered voters in Flagstaff found 760 registered voters who support immigration reform.

sample size : n= 1000

sample proportion: $\hat{p}=\dfrac{760}{1000}=0.76$

Critical value for 95% confidence interval = $z_{\alpha/2}=1.96$

Confidence interval :

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.76\pm(1.96)\sqrt{\dfrac{0.76(1-0.76)}{1000}}\\\\=0.76\pm0.0264708866493\\\\\approx0.76\pm0.0265\\\\=(0.76-0.0265,\ 0.76+0.0265)=(0.7335,\ 0.7865)$

Hence, the 95% confidence interval for the true percent of registered voters in Flagstaff who support immigration reform: $(0.7335,\ 0.7865)$

6 0

4 years ago

A room in the shape of a rectangular prism measures 15 feet by a feet by 12 feet. Write a simplified expression for the volume (

Doss [256]

Answer:

5x3

Step-by-step explanation:

3 0

4 years ago

A vial contains 20mL of medicine.If each dose is 1/3 of the vial,how many mL is each dose.Express your answer as a decimal

Genrish500 [490]

Answer:

each dose = 6.7 mL ( to 1 decimal place)

Step-by-step explanation:

Total volume of vial = 20mL

each dose of vial = 1/3 of the total volume

let us express this fraction as a real number:

1/3 of 20 = 1/3 × 20

Since we are to express the answer as a decimal, let us convert the fraction to decimal:

1/3 = 0.3333

∴ 1/3 × 20 = 0.3333 × 20 = 6.667 mL

since we are dealing with drugs, it'll be appropraite to express the answer to 1 d.p

∴ each dose = 6.7 mL

4 0

3 years ago

Factor the polynomial by grouping.<br> 4x4 + 20x3 − 7x − 35

8090 [49]

Answer:

(x+5)(4x3−7)

Step-by-step explanation:

I just used Mathpapa so it didn't give me a step by step

4 0

3 years ago

Which is the graph of linear inequality x-2y>-12 help!

Naddika [18.5K]

Answer:

The below attached graph shows the given inequality.

Step-by-step explanation:

Here, the given inequality,

x - 2y > -12

Since, related equation of the inequality,

x - 2y = -12

Which is a line passes through (-12, 0) and (0, 6)

Also, '>' represents dotted line,

So, join these two points by dotted line in the coordinate plan,

Now,

0 - 2(0) > -12 (True)

i.e. shade the region of the line that contains origin.

By the above explanation we will get the graph of given inequality ( shown below )

6 0

3 years ago

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