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AURORKA [14]
3 years ago
9

20n^2+3n=12n^2+4identify a,b,c​

Mathematics
1 answer:
masya89 [10]3 years ago
6 0

Answer:

a)  a=8,  b=3,  c=-4

b) (-3 + \sqrt{137})/16, (-3 - \sqrt{137})/16)

c) roots in decimal form are 0.54 and -0.92

Step-by-step explanation:

a) 8n² + 3n - 4

b) (-3±\sqrt{9+128}) ÷ 16

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A random survey of 1000 students nationwide showed a mean ACT score of 21.1. Ohio was not used. A survey of 500 randomly selecte
vodka [1.7K]

Answer:

We conclude that the mean Ohio score is below the national average.

Step-by-step explanation:

We are given that a random survey of 1000 students nationwide showed a mean ACT score of 21.1. Ohio was not used.

A survey of 500 randomly selected Ohio scores showed a mean of 20.8. The population standard deviation is 3.

<u><em>Let </em></u>\mu<u><em> = mean Ohio scores.</em></u>

So, Null Hypothesis, H_0 : \mu \geq 21.1      {means that the mean Ohio score is above or equal the national average}

Alternate Hypothesis, H_A : \mu < 21.1      {means that the mean Ohio score is below the national average}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about population standard deviation;

                    T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n}}}  ~ N(0,1)

where, \bar X = sample mean Ohio score = 20.8

            \sigma = population standard deviation = 3

            n = sample of Ohio = 500

So, <u><em>test statistics</em></u>  =  \frac{20.8-21.1}{\frac{3}{\sqrt{500}}}  

                              =  -2.24

The value of z test statistics is -2.24.

<em>Now, at 0.1 significance level the z table gives critical value of -1.2816 for left-tailed test.</em><em> Since our test statistics is less than the critical values of z as -2.24 < 1.2816, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which </em><em><u>we reject our null hypothesis</u></em><em>.</em>

Therefore, we conclude that the mean Ohio score is below the national average.

4 0
3 years ago
a circular racecar track has a radius ig 1.6 miles.about how many times must a car drive around the race track to drive 15 miles
madam [21]
He has to drive around the track about 1.5 times.

We first find the circumference:

C = 2πr = 2(3.14)(1.6) = 10.048

We now divide 15 by this:
15/10.048 ≈ 1.5
8 0
3 years ago
carlos is baking banana bread.He uses 3/8 cup of brown sugar in one loaf.He is making 6 loaves of banana bread.How much brown su
algol13
Well, if he uses 3/8 cup per loaf and makes 6 loaves  then basically all you will need to do is  3/8 times 6 which =s 24/8. And how many times does 8 go into 24? 3 times, so Carlos will use 3 cups of brown sugar for his banana bread loaves. 


Hope this helps!:);)
4 0
3 years ago
Read 2 more answers
Help me out please first one with correct answer gets brainest
jeka94

Answer:

∠D = 13°

Step-by-step explanation:

∠A and ∠D are vertical angles and thus are congruent, hence

x - 2 = - 3x + 58 ( add 3x to both sides )

4x - 2 = 58 ( add 2 to both sides )

4x = 60 ( divide both sides by 4 )

x = 15

∠D = x - 2 = 15 - 2 = 13°

5 0
3 years ago
WILL GIVE BRAINIEST TO ONLY THE FIRST ANSWER!! Find the sum of the first 150 terms in the sequence 20, 15, 10, 5...
enot [183]

Answer:

-450

Step-by-step explanation:

Say the first number is x to get the idea.

The first 150 terms are 150x - 5 * 150

15x - 750

300 - 750 = -450

7 0
3 years ago
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