If Sam's present age is x years, what will be his age in years after 20 years from now?
31 x + 20
x - 20
20x
x/20

Answer:

369

Step-by-step explanation:

The researchers need a sample size of 385 to estimate the proportion of adults who would say they learned something new in the past month with a 95% confidence level and a margin of error of no more than ±5%.

The margin of error is the amount of error or uncertainty in a statistical estimate, usually an estimate of a population parameter based on a sample.

We have,

To create a one-sample z-interval, the following steps can be followed:

Determine the sample size (n) and the sample proportion p.

Since no sample size or proportion is given in the problem, we cannot proceed with this step.

Determine the level of confidence (C) for the interval. In this case, the researchers want a confidence level of 95%, so C = 0.95.

Find the critical value (z*) for the level of confidence.

This can be done using a standard normal distribution table or a calculator.

For a 95% confidence level, the critical value is 1.96.

Calculate the margin of error (ME) using the formula:

ME = z x √(p x (1 - p) / n)

Since the margin of error is given as no more than ±5%, we can set it equal to 0.05 and solve for the required sample size:

0.05 = 1.96 x √(0.4 x (1 - 0.4) / n)

Solving for n, we get:

n = (1.96 / 0.05)² x 0.4 x (1 - 0.4)

n ≈ 384.16

Since the sample size must be a whole number, we round up to the nearest integer and get n = 385.

Therefore,

The researchers need a sample size of 385 to estimate the proportion of adults who would say they learned something new in the past month with a 95% confidence level and a margin of error of no more than ±5%.

Learn more about margin of error here:

https://brainly.com/question/10501147

#SPJ3

Answer:

A. AB

Step-by-step explanation:

line segment AB is a chord.

Answer:

[tex]-\left(x+7\right)\left(x+8\right)[/tex]

Step-by-step explanation:

[tex]-X^2-15x - 56\\\\\mathrm{Factor\:out\:common\:term\:}-1\\\\=-\left(x^2+15x+56\right)\\\\=-\left(x+7\right)\left(x+8\right)[/tex]

Answer:

[tex]-(x+7) (x+8)[/tex]

Step-by-step explanation:

[tex]-x^{2} - 15x-56[/tex]

Write - 15x as a difference

[tex]-x^{2} -7x-8x-56[/tex]

Factor out - x from the expression

[tex]-x(x+7)-8x-56[/tex]

Factor out - 8 from the expression

[tex]-x (x+7)-8(x+7)[/tex]

Factor out - (x + 7) from the expression

[tex]-(x+7)x(x+8)[/tex]

Answer:

x+2y=2.....(1)

x-2y=2......(2)

(substrate 1 in 2

x=2

substitutes x in 1

2+2y=2

4y=2

y=4/2

y=2

Answer: $99.99

Step-by-step explanation:

$399.99 * .25 (discount) = $99.99

Answer:

Never:

Step-by-step explanation:

because its more understandable we know this because it wouldnt be always

Answer:

6 units to the right, 3 units down

Step-by-step explanation:

Answer:

Follow me please

Mark brainliest

Answer:

B

Step-by-step explanation:

Answer:

27.09% of the panthers weigh less than 76 pounds

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 82 pounds and a standard deviation of 9.8 pounds.

This means that [tex]\mu = 82, \sigma = 9.8[/tex]

What percent of the panthers weigh less than 76 pounds?

The proportion is the pvalue of Z when X = 76. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{76 - 82}{9.8}[/tex]

[tex]Z = -0.61[/tex]

[tex]Z = -0.61[/tex] has a pvalue of 0.2709

0.2709*100% = 27.09%

27.09% of the panthers weigh less than 76 pounds

Step-by-step explanation:

perp. -1/2

y + 3 = -1/2(x - 4)

y + 3 = -1/2x + 2

y = -1/2x - 1

Step-by-step explanation:

complementary angles add up to 90

x +2/3x = 90

5/3x = 90

5x = 270

x = 54

the other angle is 36

double checking

54 * 2 ÷ 3 = 36

Answers:

===========================================

Explanation:

The lowest point occurs when y = -2. The highest point occurs when y = 2.

The vertical distance between the highs and lows is 4 units (since 2-(-2) = 2+2 = 4). This cuts in half to get 4/2 = 2.

The amplitude is 2. It measures the vertical distance from the midline to either the peaks or valleys.

-----------------------------

Note that this curve has two lowest points and one highest point shown. What we'll do is shift the graph over to the right so that each of those lowest points snap to a grid point. The lowest point on the left will move to where x = -pi, while the lowest point on the right snaps to x = 3pi/2. We'll keep each point at the same y coordinate.

The horizontal distance from x = -pi to x = 3pi/2 is

(3pi/2) - (-pi) = 3pi/2 + 2pi/2 = 5pi/2

This represents the horizontal distance from the left valley point to the right valley point. This is one full period of the curve. After we arrive at the right valley point, we repeat the process of going up and coming back down in this exact same fashion. The process is repeated forever to generate the cosine curve. The curve repeats itself every 5pi/2 units along the x axis.

Side note: any phase shift of a curve will have the same period as the original curve. This is why we're allowed to shift left or right to help find the period.

Answer:

A graph is a chart or drawing that shows the relationship between changing things.

- They are a diagram displaying the relationship between numbers or amounts.

- A graph is one of the easiest ways to compare numbers.

- A graph or chart is used to present facts in visual form.

- They are a drawing that displays the relative sizes of numerical quantities.

- Graphs can be used to illustrate many types of data.

- They should be used to make facts clearer and more understandable.

- it shows trends over time.

- Forceful -- Emphasizes main point

- Convincing -- proves a point, see and hear

- Compact way to convey information

- More interesting than just talk or print

- Quick way for the audience to visualize what you are saying -- numbers trends up or down

- To bring facts to life

- To show and compare relationships

- To show and compare changes

- They are much easier to understand then a large

table of numbers

- without

the need to understand what each and every number in a table means.

They help you visually see the difference between two or more values.

Hope this helps!

Answer:

Pretty sure it's 2/3.

Answer:

58121141

Step-by-step explanation:

99165+67894321= 67993486  

67993486-9872345= 58121141

Answer:

[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex]     [tex]b = \sqrt[3]{\frac{2V}{7}}[/tex]       [tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]

Step-by-step explanation:

Represent the volume of the box with V and the dimensions with l, b and h.

The volume (V) is:

[tex]V = l * b * h[/tex]

Make h the subject of the formula

[tex]h = \frac{V}{lb}[/tex]

The surface area (S) of the aquarium is:

[tex]S = lb + 2(lh + bh)[/tex]

Where lb represents the area of the base (i.e. slate):

The cost (C) of the surface area is:

[tex]C = 7 * lb + 1 * 2(lh + bh)[/tex]

[tex]C = 7lb + 2(lh + bh)[/tex]

[tex]C = 7lb + 2h(l + b)[/tex]

Substitute [tex]\frac{V}{lb}[/tex] for h in the above equation

[tex]C = 7lb + 2*\frac{V}{lb}(l + b)[/tex]

[tex]C = 7lb + \frac{2V}{lb}(l + b)[/tex]

[tex]C = 7lb + \frac{2V}{b} + \frac{2V}{l}[/tex]

Differentiate with respect to l and with respect to b

[tex]C_l=7b - \frac{2V}{l^2}[/tex] [tex]=0[/tex]

[tex]C_b=7l - \frac{2V}{b^2}[/tex] [tex]=0[/tex]

To solve for b and l, we equate both equations and set l to b (to minimize the cost)

[tex]7b - \frac{2V}{l^2}=7l - \frac{2V}{b^2}[/tex]

[tex]7l - \frac{2V}{l^2}=7b - \frac{2V}{b^2}[/tex]

By comparison:

[tex]l =b[/tex]

[tex]C_l=7b - \frac{2V}{l^2}[/tex] [tex]=0[/tex] becomes

[tex]7l - \frac{2V}{l^2}=0[/tex]

[tex]7l = \frac{2V}{l^2}[/tex]

Cross Multiply

[tex]7l^3 = 2V[/tex]

Solve for l

[tex]l^3 = \frac{2V}{7}[/tex]

[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex]

Recall that: [tex]l =b[/tex]

[tex]b = \sqrt[3]{\frac{2V}{7}}[/tex]

Also recall that:

[tex]h = \frac{V}{lb}[/tex]

[tex]h = \frac{V}{\sqrt[3]{\frac{2V}{7}}*\sqrt[3]{\frac{2V}{7}}}[/tex]

[tex]h = \frac{V}{\sqrt[3]{\frac{4V^2}{49}}}[/tex]

Apply law of indices

[tex]h = \sqrt[3]{\frac{49V^3}{4V^2}}[/tex]

[tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]

The dimension that minimizes the cost of material of the aquarium is:

[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex]     [tex]b = \sqrt[3]{\frac{2V}{7}}[/tex]       [tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]

9514 1404 393

Answer:

  x ≈ 0.309906932381 or 4

Step-by-step explanation:

There are no algebraic methods of solving a mixed exponential and polynomial equation. The value of x can be found by guessing, or by other means such as trial and error or graphing.

Attached is a graph showing two solutions. x = 4 is the integer solution (2^4 = 4·4). The irrational solution is approximately x ≈ 0.309906932381. That precision is obtained by Newton's method iteration, easily done by a graphing calculator.

Answer: What is The Question

Step-by-step explanation:

You Forgot To add The Picture

Answer:

By the way that it is worded, I believe that you are only allowed to put 1 charm on the bracelet, so there are 9 ways to pick a charm.

Hope this helps(and also if you have a more refined wording please put it in the comments)!

Answer:

By the way that it is worded, I believe that you are only allowed to put 1 charm on the bracelet, so there are 9 ways to pick a charm.

Answer:

The equation of the line is:

[tex]y = -\frac{1}{3}x - 2[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept, that is, the value of y when x = 0.

(0,-2)

This means that the y-intercept is -2, that is, [tex]b = -2[/tex]. So

[tex]y = mx - 2[/tex]

Finding the slope:

When we have two points, the slope is given by the change in y divided by the change in x.

We have points  (6,-4) and (0,-2).

Change in y: -2 - (-4) = -2 + 4 = 2

Change in x: 0 - 6 = -6

Slope: [tex]m = \frac{2}{-6} = -\frac{1}{3}[/tex]

So the equation of the line is:

[tex]y = -\frac{1}{3}x - 2[/tex]

Answer:

6500 / 100 = 65

Step-by-step explanation:

if you are dividing a number that has zeros by 10/100/1000... you can cancel out the zeros to find the answer.

Answer:

y or w is 55.5

55.5/18.5 = 3

3+5=8

Step-by-step explanation:

hope that helps...

Answer: w(10) = -12

Step-by-step explanation:

w(n) = -n - 2; Find w(10)

w(10) = -(10) - 2

w(10) = -10 - 2

w(10) = -12

Answer:

11

Step-by-step explanation:

7x2=14

16x1/2=8

14-8=6

6+5=11

The evaluation of the given equation when the a is 0.5 and b = 7 so it should be considered as the 46.

Since the equation is

[tex]b^2 - 16a + 5[/tex]

So,

[tex]= (7)^2 - 16(0.5) + 5[/tex]

= 49 - 8 + 5

= 46

Hence, The evaluation of the given equation when the a is 0.5 and b = 7 so it should be considered as the 46.

Learn more about an equation here: https://brainly.com/question/14170257

Answer:

For people that are doing this lesson on I-Ready

The points Lie on a straight line that goes through the origin.

The graph shows a relationship that is Proportional.

Step-by-step explanation:

Answer:

Step-by-step explanation:

lie on

goes

Answer:

x=2.4 hours or 2 hours and 24 minutes together

Step-by-step explanation:

Answer:

no te entiendo

yo también la busco