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Soloha48 [4]
3 years ago
12

Would it be written as ±a=11 or a=±11 help

Mathematics
2 answers:
sergeinik [125]3 years ago
6 0

\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}

It would be written as a =± 11

LUCKY_DIMON [66]3 years ago
5 0

Answer:

a=±11

Have a nice day/night..!

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For what value of k will these pairs of simultaneous equations have no solution?
yKpoI14uk [10]
Kx-3y=k
y=4x+1 ( we will put it in 1st equation )
kx - 3 (4x+1)=k
kx - 12 x - 3 =k
kx - 12 x = k+3
x(k-12) = k+3
x=\frac{k+3}{k-12}
Also y=\frac{5k}{k-12}
We can not divide with zero.
k-12=0
k=12
For k= 12 equations have no solutions.
4 0
3 years ago
A report on consumer financial literacy summarized data from a representative sample of 1,664 adult Americans. Based on data fro
daser333 [38]

Answer:

a. The 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is (0.54, 0.588). This means that we are 95% sure that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is between these two bounds.

b. Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

Sample of 1,664 adult Americans, 939 people in the sample would have given themselves a grade of A or B in personal finance.

This means that n = 1664, \pi = \frac{939}{1664} = 0.5643

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5643 - 1.96\sqrt{\frac{0.5643*0.4357}{1644}} = 0.54

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5643 + 1.96\sqrt{\frac{0.5643*0.4357}{1644}} = 0.588

The 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is (0.54, 0.588). This means that we are 95% sure that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is between these two bounds.

(b) Is the confidence interval from part (a) consistent with the statement that a majority of adult Americans would give themselves a grade of A or B?

Yes, because the confidence interval is entirely above 0.5.

Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.

8 0
2 years ago
Select all the correct answers.
amid [387]

Answer:

It costs $15 a month to play the video game.

The initial cost is $45.

The y-variable represents the cost in dollars.

The x-variable represents the number of months.

Step-by-step explanation:

If you break the function down, you're going to have:

<u>Total = Monthly Cost + Initial Cost</u>

In this case, 15x is your monthly cost, as you can think of x as the number of months meaning:

  • 15 for the first month (x = 1)
  • 30 for the second month (x = 2)
  • 45 for the third month (x = 3), and so on

Our initial cost is always going to be a set amount, thus our constant, $45.

This leaves y as our total, which makes sense, as it's all alone on one side of the equation, where as all the costs are bunched together on the right side.

Hope this helps!

6 0
3 years ago
Read 2 more answers
The sum of two numbers is 128. Their difference is 4. What are the numbers?
Naddik [55]

Answer:

66 and 62

Step-by-step explanation:

128 divided by 2 gives you 64, and by taking two away from one number and giving it to the other, you're final answers are 66 and 62

3 0
3 years ago
Read 2 more answers
Log_{7 }(5 - 3x)<br>Find the derivative​
V125BC [204]

Let <em>y</em> be the expression you want to differentiate:

y=\log_7(5-3x) \implies 7^y=5-3x

Now,

7^y=e^{\ln(7^y)}=e^{y\ln(7)}

Use the chain rule to differentiate both sides with respect to <em>x</em> :

\ln(7)e^{y\ln(7)}\dfrac{\mathrm dy}{\mathrm dx}=-3

Solve for d<em>y</em>/d<em>x</em> :

\ln(7)7^y\dfrac{\mathrm dy}{\mathrm dx}=-3

\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac3{\ln(7)7^y}

\dfrac{\mathrm dy}{\mathrm dx}=\boxed{-\dfrac3{\ln(7)(5-3x)}}

6 0
3 years ago
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