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Alla [95]
3 years ago
13

Write the equation 0.3x 2 + 5x - 7 = 0 in standard form and then choose the value of "b."

Mathematics
2 answers:
spin [16.1K]3 years ago
7 0
The answer is b = 50.

The general form of quadratic equation is
ax² + bx + c = 0.

To write the equation 0.3x²<span> + 5x - 7 = 0 in standard form, you must get rid of decimals. To do that, multiply the equation by 10:
</span>10 * (0.3x²<span> + 5x - 7) = 10 * 0
</span>10 * 0.3x² + 10 * 5x - 10 * 7 = 0
3x² + 50x - 70 = 0

Now compare this equation with the general formula:
ax² + bx  +   c  = 0
3x² + 50x - 70 = 0

Therefore, b = 50.
dimulka [17.4K]3 years ago
7 0

Answer:

B is the answer

Step-by-step explanation:

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What is the image point of ( -5,0 ) after a translated left 2 units and down 3 units ?​
kvv77 [185]
Answer: ( -7 , -3 )


Step by step:
The point: ( X , Y )
Left 2 units = change X by -2
So, -5 subtract by 2 equals -7
Down 3 units = change Y by -3
So, 0 subtract by 3 equals -3
Now, X = -7 and Y = -3, so the answer is ( -7 , -3 )


Hope this helps! Please tell me if I did anything wrong, thank you!
5 0
3 years ago
Tera buys 10 pencils for $1.99.<br> About how much $ does each pencil<br> cost?
True [87]

Answer:

19 cents or 0.199

Step-by-step explanation:

Hope it helped!

8 0
2 years ago
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Shalnov [3]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
The following data were collected from 12 rain gauges in a park. Build a 95% CI for the mean rainfall at the park.
dybincka [34]

Answer:

Critical values:t_{\alpha/2}=-2.201 t_{1-\alpha/2}=2.201

95% confidence interval would be given by (3.646;4.472)

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The data is:

4.65 3.89 2.73 4.35 3.80 4.86 4.33 4.37 4.76 4.05 3.05 3.87

2) Compute the sample mean and sample standard deviation.

In order to calculate the mean and the sample deviation we need to have on mind the following formulas:  

\bar X= \sum_{i=1}^n \frac{x_i}{n}

s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}

=AVERAGE(4.65,3.89,2.73, 4.35, 3.8, 4.86, 4.33, 4.37, 4.76, 4.05, 3.05, 3.87)

On this case the average is \bar X= 4.059

=STDEV.S(4.65,3.89,2.73, 4.35, 3.8, 4.86, 4.33, 4.37, 4.76, 4.05, 3.05, 3.87)

The sample standard deviation obtained was s=0.6503

3) Find the critical value t* Use the formula for a CI to find upper and lower endpoints

In order to find the critical value we need to take in count that our sample size n =12 <30 and on this case we don't know about the population standard deviation, so on this case we need to use the t distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. The degrees of freedom are given by:

df=n-1=12-1=11

We can find the critical values in excel using the following formulas:

"=T.INV(0.025,11)" for t_{\alpha/2}=-2.201

"=T.INV(1-0.025,11)" for t_{1-\alpha/2}=2.201

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}  

And we can use Excel to calculate the limits for the interval

Lower interval : "=4.059 -2.201*(0.6503/SQRT(12))" =3.646

Upper interval :  "=4.059 +2.201*(0.6503/SQRT(12))" =4.472

So the 95% confidence interval would be given by (3.646;4.472)

8 0
3 years ago
If you are on a ship at sea navigating to a point that is 300 miles north and 400 miles west, find the distance from tour ship t
s344n2d4d5 [400]

Answer:

\huge \boxed{\mathrm{500 \ miles}}

Step-by-step explanation:

A right triangle is formed.

300 miles and 400 miles are the legs of the triangle.

We can apply Pythagorean theorem.

c=\sqrt{300^2 +400^2 }

c=\sqrt{90000 +160000}

c=\sqrt{250000}

c=500

8 0
2 years ago
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