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lara31 [8.8K]
3 years ago
9

The graph shows a logarithmic function f. What do f and the function g(x) = log6x have in common? Select all that apply.

Mathematics
2 answers:
snow_tiger [21]3 years ago
9 0

Answer:A B C

Step-by-step explanation:

OverLord2011 [107]3 years ago
6 0

Answer:

A B C

Step-by-step explanation:

Just did it on EDG2020

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A sphere has a radius of 5 ft.
leva [86]

Answer:

B. 100π

Step-by-step explanation:

The surface area of a sphere is given by

SA = 4 pi r^2

The radius is 5

SA = 4 * pi * r^2

SA = 4 * pi * 25

SA = 100 pi

8 0
2 years ago
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Solve question please​
JulijaS [17]

Answer:

289

Step-by-step explanation:

17^{2}

17x17

= 289

Hope this helps

3 0
3 years ago
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Multiple-choice questions on Advanced Placement exams have five options: A, B, C, D, and E. A random sample of the correct choic
Semenov [28]

Answer:

Option <em>B</em> is not the most common correct choice.

Step-by-step explanation:

The multiple-choice questions on Advanced Placement exams have five options: A, B, C, D, and E.

The probability that any of these five option is the correct answer is:

p=\frac{1}{5}=0.20

A random sample of 400 multiple-choice questions on Advanced Placement exam are selected.

The results showed that 90 of the 400 questions having B as the answer.

To test the hypothesis that option B is more likely the correct answer for most question, the hypothesis can be defined as:

<em>H₀</em>: All the options are equally probable, i.e. <em>p</em> = 0.20.

<em>Hₐ</em>: Option B is more likely the correct option, i.e. <em>p</em> > 0.20.

Compute the sample proportion as follows:

\hat p=\frac{90}{400}=0.225

The test statistic is:

z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}=\frac{0.225-0.20}{\sqrt{\frac{0.20(1-0.20)}{400}}}= 1.25

The test statistic is 1.25.

Decision rule:

If the <em>p</em>-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

Compute the <em>p</em>-value as follows:

p-value=P(Z>1.25)\\=1-P(Z

*Use a <em>z</em>-table.

The <em>p</em>-value is 0.1057.

The <em>p</em>-value of the test is quite large. Thus, the null hypothesis was failed to rejected.

Hence, it can be concluded that option <em>B</em> is not  the most common correct choice.

7 0
3 years ago
A The length of a rectangle is 4 m more
Lady bird [3.3K]

Given :

  • The length of a rectangle is 4m more than the width.
  • The area of the rectangle is 45m²

⠀

To Find :

  • The length and width of the rectangle.

⠀

Solution :

We know that,

\qquad { \pmb{ \bf{Length \times Width = Area_{(rectangle)}}}}\:

So,

Let's assume the length of the rectangle as x and the width will be (x – 4).

⠀

Now, Substituting the given values in the formula :

\qquad \sf \: { \dashrightarrow x  \times  (x - 4) = 45 }

\qquad \sf \: { \dashrightarrow {x}^{2}  - 4x = 45 }

\qquad \sf \: { \dashrightarrow {x}^{2}  - 4x - 45 = 0 }

\qquad \sf \: { \dashrightarrow {x}^{2}    - 9x+ 5 x - 45 = 0 }

\qquad \sf \: { \dashrightarrow x(x - 9) + 5(x - 9) = 0 }

\qquad \sf \: { \dashrightarrow (x  - 9) (x  + 5) = 0 }

\qquad \sf \: { \dashrightarrow x = 9, \: \: x =  - 5}

⠀

Since, The length can't be negative, so the length will be 9 which is positive.

⠀

\qquad { \pmb{ \bf{ Length _{(rectangle)} = 9\:m}}}\:

\qquad { \pmb{ \bf{ Width _{(rectangle)} = 9 - 4=5\: m}}}\:

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

8 0
2 years ago
Convert 3x-4y = 9 to slope intercept form. What are the slope and y - intercept ?
Alecsey [184]

Answer:

Slope intercept form; -4y = -3x + 9

Y-intercept; 9

3 0
3 years ago
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