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Andre45 [30]
3 years ago
10

What is the equation of the axis of symmetry of the graph of y-ax? +bx+c?

Mathematics
1 answer:
Svetllana [295]3 years ago
6 0

Answer:

x= -b/2a

Step-by-step explanation:

hello :

 y = ax²+bx+c .... (a≠0)

the equation of the axis of symmetry of this graph is : x= -b/2a

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What is the solution of the equation? -6 = 2/3x<br> a. = -9<br> b. = -6<br> c. = 4<br> d. = -4
erastovalidia [21]
-6 = 2/3 x
x = -6*3 /2
x = -18/2
x = -9

Answer is Option A

Hope this helps!
8 0
3 years ago
Which of the following is equivalent to log50^7 rounded to three decimal places
Vitek1552 [10]

Answer:

11.886

Step-by-step explanation:

Given :

log 50^7

Applying formula

log a^m=m log a

So,

7 log 50\\=7(1.698)\\=11.886

Answer will be 11.886

3 0
3 years ago
12 is 80% of what number
nydimaria [60]
X - the number

80\%x=12 \\&#10;\frac{80}{100}x=12 \\&#10;\frac{4}{5}x=12 \\&#10;x=12 \times \frac{5}{4} \\&#10;x=3 \times 5 \\&#10;x=15

12 is 80% of 15.
3 0
3 years ago
Read 2 more answers
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
Terry had $43 in a checking account. If Terry writes a check for $62, what is the new account balance? a. $105 c. -$19 b. $19 d.
Keith_Richards [23]
Terry has 43 in her checking account....she then writes a check for 62...
43 - 62 = - 19 <==
4 0
3 years ago
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