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Valentin [98]
3 years ago
15

Simplitythe ratiosa55:12b. 6cm: 126cm:12 cm​

Mathematics
1 answer:
iragen [17]3 years ago
4 0

Answer:

A. 55:12

Step-by-step explanation:

Sana nakatulong

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Solve the following quadratic equation for all values of x in simplest form.
NNADVOKAT [17]

Answer:

x = ± 1

Step-by-step explanation:

Given

3(x² - 4) + 7 = - 2 ( subtract 7 from both sides )

3(x² - 4) = - 9 ( divide both sides by 3 )

x² - 4 = - 3 ( add 4 to both sides )

x² = 1 ( take the square root of both sides )

x² = ± \sqrt{1} = ± 1

Thus

x = - 1, x = 1

8 0
3 years ago
An environmental scientist wants to use a 95% confidence interval to estimate the mean number of hours per day her solar panel r
MissTica

Answer:

a) The 95% confidence interval for the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.

b) The confidence interval is built from a sample of 48 days. However, we can be 95% sure that for all days, the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.

Step-by-step explanation:

We have the standard deviation for the sample. So we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 48 - 1 = 47

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 47 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.0117

The margin of error is:

M = T*s = 2.0117*2.3 = 4.6

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 7.1 - 4.6 = 2.5 hours of sunlight per day

The upper end of the interval is the sample mean added to M. So it is 7.1 + 4.6 = 11.7 hours of sunlight per day

a) Compute the 95% confidence interval for the mean.

The 95% confidence interval for the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.

b) Explain your confidence interval from part (a) in context.

The confidence interval is built from a sample of 48 days. However, we can be 95% sure that for all days, the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.

6 0
3 years ago
What is the value of n in the equation –1/2(2n + 4) + 6 = –9 + 4(2n + 1)?
ioda

Answer:

<h2>n = 1</h2>

Step-by-step explanation:

-\dfrac{1}{2}(2n-4)+6=-9+4(2n+1)\qquad\text{use the distributive property}\\\\\left(-\dfrac{1}{2}\right)(2n)+\left(-\dfrac{1}{2}\right)(-4)+6=-9+(4)(2n)+(4)(1)\\\\-n-2+6=-9+8n+4\qquad\text{combine like terms}\\\\-n+(-2+6)=8n+(-9+4)\\\\-n+4=8n-5\qquad\text{subtract 4 from both sides}\\\\-n=8n-9\qquad\text{subtract}\ 8n\ \text{from both sides}\\\\-9n=-9\qquad\text{divide both sides by (-9)}\\\\n=1

7 0
3 years ago
How can you check the correctness of a division answer that has no remainder
gregori [183]
Multiply your outside number and your answer to see if you got the number inside the box
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3 years ago
Which function has a simplified base of 4?<br><br>f(x) = 2<br>f(x) = 2<br>f(x) = 4<br>f(x) = 4
miss Akunina [59]

Answer:


Step-by-step explanation:

I just finished this exam review and it should be  f(x)=4(^3sqrt16)^2x


Hope this helps you out!

6 0
3 years ago
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