Not sure how I would graph this

Answer:

6 mg

Step-by-step explanation:

12 mg

0.018 g * 1000 mg/g = 18 mg

18 mg - 12 mg = 6 mg

Answer:

38.60 mph

Step-by-step explanation:

Average speed = total distance / total time

44 mph = (70 mi + 60 mi) / t

t = 2.95 hr

The time spent during the first 70 miles is:

d = rt

70 mi = (50 mph) t

t = 1.4 hr

So the time spent during the last 60 miles is:

t = 2.95 hr − 1.4 hr

t = 1.55 hr

So the average speed during the last 60 miles is:

d = rt

60 mi = r (1.55 hr)

r = 38.60 mph

Answers:

a) 0.0625

b) 0.9375

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Work Shown:

The probability of landing on heads is 1/2 = 0.5 since both sides are equally likely to land on. Getting 4 heads in a row is (1/2)^4 = (0.5)^4 = 0.0625

The event of getting at least one tail is the complement of getting all four heads. This is because you either get all four heads or you get at least one tail. One or the other must happen. We subtract the result we got from 1 to get 1-0.0625 = 0.9375

You can think of it like this

P(getting all four heads) + P(getting at least one tail) = 1

The phrasing "at least one tail" means "one tail or more".

Answer:

Step-by-step explanation:

lets use proportions

6/4=x/24

cross multiply:

6*24=4x

144=4x

4x=144

x=36

The pole is 36 ft tall

4 feet tall casts a shadow of 6 feet.

36 feet tall will cast a shadow of 24 feet.

The two equations are:

4 feet tall = 6 feet

36 feet tall = 24 feet

The height of pole is 36 feet tall.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x = 4 is an equation.

2x + 3 = 4 is an equation.

We have,

Sam:

Height = 6 feet tall_____(1)

Shadow cast = 4 feet ______(2)

Pole:

Height = P feet tall

Shadow cast = 24 feet

Now,

From (1) and (2) we get,

6 feet tall = 4 feet

Multiply 6 on both sides.

6 x 6 feet tall = 4 x 6 feet

36 feet tall = 24 feet

This means,

The pole height is 36 feet tall.

Thus,

4 feet tall casts a shadow of 6 feet.

36 feet tall will cast a shadow of 24 feet.

The height of pole is 36 feet tall.

Learn more about equations here:

https://brainly.com/question/17194269

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Answer:

[tex]P(\bar X>3.4) = 0.385[/tex]

Step-by-step explanation:

Relevant Data provided according to the question is as follows

[tex]\mu[/tex] = 3.2

[tex]\sigma[/tex] = 0.8

n = 4

According to the given scenario the calculation of probability that the sample means will be more than 3.4 pounds is shown below:-

[tex]z = \frac{\bar X - \mu}{\frac{a}{\sqrt{n} } }[/tex]

[tex]P(\bar X>3.4) = 1 - P(\bar X\leq 3.4)[/tex]

[tex]= 1 - P \frac{\bar X - \sigma}{\frac{a}{\sqrt{n} } } \leq \frac{3.4 - \sigma}{\frac{a}\sqrt{n} }[/tex]

Now, we will solve the formula to reach the probability that is

[tex]= 1 - P \frac{\bar X - 3.2}{\frac{0.8}{\sqrt{4} } } \leq \frac{3.4 - 3.2}{\frac{0.8}\sqrt{4} }[/tex]

[tex]= 1 - P (Z \leq \frac{0.2}{0.4})[/tex]

[tex]= 1 - P (Z \leq 0.5})[/tex]

[tex]= 1 - \phi (0.5)[/tex]

= 1 - 0.6915

= 0.385

Therefore the correct answer is

[tex]P(\bar X>3.4) = 0.385[/tex]

So, for computing the probability we simply applied the above formula.

Answer:

its  21

Step-by-step explanation:

its not 21 i really dont know

Answer:

729m³

Step-by-step explanation:

To find the length of one side find the cube root of 1728m³

³√1728=12metres

To find the length of the smaller cube

ratio 3:4.

4/7=12m

3/7=?

3/7×12 = 3/7×12×7/4

4/7

=9metres

To find volume of the small cube

volume=9×9×9

=729m³

Answer:

4

Step-by-step explanation:

We are told that figure B is a scaled copy of B, which means figure A was enlarged by a certain scale factor to get a similar figure as A, now referred to as figure B.

The scale factor = ratio of any two corresponding sides of both similar figures.

Thus,

Scale factor of the similar figures given = 40/10 = 4.

This means that, figure A was scaled up by 4 times its original size to get figure B. Each side of figure B is 4 × the corresponding side in figure A.

Scale factor = 4

Answer:

a. With 90% confidence the proportion of all Americans who favor the new Green initiative is between 0.6290 and 0.6948.

b. If the sample size is changed, the confidence interval changes as the standard error depends on sample size.

About 90% percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about 10% percent will not contain the true population proportion.

Step-by-step explanation:

We have to calculate a 90% confidence interval for the proportion.

The sample proportion is p=0.6619.

[tex]p=X/n=370/559=0.6619[/tex]

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.6619*0.3381}{559}}\\\\\\ \sigma_p=\sqrt{0.0004}=0.02[/tex]

The critical z-value for a 90% confidence interval is z=1.6449.

The margin of error (MOE) can be calculated as:

[tex]MOE=z\cdot \sigma_p=1.6449 \cdot 0.02=0.0329[/tex]

Then, the lower and upper bounds of the confidence interval are:

[tex]LL=p-z \cdot \sigma_p = 0.6619-0.0329=0.6290\\\\UL=p+z \cdot \sigma_p = 0.6619+0.0329=0.6948[/tex]

The 90% confidence interval for the population proportion is (0.6290, 0.6948).

Answer:

48

Step-by-step explanation:

16*3=48

Answer:

Step-by-step explanation:

Given,

Base= 12 cm

Height= 5 cm

Formula to find area of triangle:

[tex] \frac{1}{2} \times base \times height[/tex]

Now,

Area of triangle:

[tex] \frac{1}{2} \times 12 \times 5 \\ = \frac{1}{2} \times 60 \\ = 30 \: {cm}^{2} [/tex]

Hope this helps...

Good luck on your assignment...

Answer:30 cm^2

Step-by-step explanation:

Answer:

8483 ft²

Step-by-step explanation:

Subtract the area of the smaller circle from the area of the greater circle

Greater Circle area:

πr² = π × 140²

= 61583.2 ft²

Smaller Circle area:

= π × 130²

= 53099.8 ft²

Area of track:

61583.2 - 53099.8 = 8483.4ft²

= 8483ft² (to the nearest ft²)

Answer:    ∡PRS=61°

Step-by-step explanation:

As known the following equity is valid for the rhombus:

∡PQR+∡QRS = 180°

So  ∡QRS=180°- ∡PQR

∡QRS=180°- 58°= 122°

From another hand we know that PR is bisector of ∡QRS.

So ∡PRS=∡QRS:2= 122°:2=61°

∡PRS=61°

Answer:

15.7

Step-by-step explanation:

Circumference = πd

π = 3.14

d = diameter (5 feet)

C = 3.14(5)

C = 15.7

Answer:

15.7 feet

Step-by-step explanation:

The circumference is equal to π × diameter.

3.14 × 5

= 15.7

The circumference of the circular post is 15.7 feet.

Answer:

a. The 99% confidence interval for the population proportion is (0.7872, 0.8610).

D. Yes, we can conclude that the population proportion exceeds 75% because 75% is below the lowest believable value of the confidence interval.

b. The 99% confidence interval would be wider than a 95% confidence interval.

As the confidence level increases, the width interval increases, as we are requiring more confidence with the same information (there is no new sample). This means that, to be more confident, the only way is to include more values in the interval.

Step-by-step explanation:

We have to calculate a 99% confidence interval for the proportion.

The sample proportion is p=0.8241.

[tex]p=X/n=581/705=0.8241[/tex]

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.8241*0.1759}{705}}\\\\\\ \sigma_p=\sqrt{0.000206}=0.0143[/tex]

The critical z-value for a 99% confidence interval is z=2.5758.

The margin of error (MOE) can be calculated as:

[tex]MOE=z\cdot \sigma_p=2.5758 \cdot 0.0143=0.0369[/tex]

Then, the lower and upper bounds of the confidence interval are:

[tex]LL=p-z \cdot \sigma_p = 0.8241-0.0369=0.7872\\\\UL=p+z \cdot \sigma_p = 0.8241+0.0369=0.8610[/tex]

The 99% confidence interval for the population proportion is (0.7872, 0.8610).

We can conclude that there is, at least, 99% chances that the true proportion is higher than 0.7872. So there is at least 99% chances that the population proportion is higher than 0.75.

Answer:

When you multiply a difference of squares, two terms cancel each other out and result in a binomial instead of a trinomial. To understand this, you can use an example.

When you multiply (x-3) and (x+3), you can use FOIL to expand them. By doing this, you get x^2-3x+3x-9. As you can see, -3x and 3x cancel each other out, so this results in a binomial instead of a trinomial.

Answer:

when you multiply them the two terms cancel each other out which will result in a binominal

Step-by-step explanation:

Answer:

  490 J

Step-by-step explanation:

The formula is ...

  PE = mgh

where g is the acceleration due to gravity: 9.8 m/s². Filling in your numbers, you find the energy to be ...

  PE = (5 kg)(9.8 m/s²)(10 m) = 490 kg·m²/s² = 490 J

Answer:

(x - 9) is already simplified

x² - 3x simplified is x(x - 3)

Step-by-step explanation:

We need to see if we can either take out GCF or factor. Since the 1st expression we can do neither, it is in its simplest form. For the 2nd expression, we can take out an x, and we get x(x - 3) as our simplified expression.

Answer:

1144cm²

Approx. 1100cm²

Step-by-step explanation:

Area of rectangle=

L×B

34×20 = 680cm²

Area of semi-circle=

πr²

3.14 × (10)² = 314cm²

Area of triangle=

½b×h

b = 49 - 34 = 15

20 × 15 = 150cm²

2

Area of shape =

680 + 314 + 150 = 1144cm²

approx. 1100cm²

Please mark my answer as brainliest <3

Answer:

Ok, we have that f(x) is defined for all real values of x, except for x = x0.

[tex]\lim_{x \to \ x0} f(x)[/tex]

Does it exist? why?

Remember that when we are taking the limit we are not evaluating the function in x0, instead, we are evaluating the function in values really close to x0 (values defined as x0⁺ and x0⁻, where the sign defines if we approach from above or bellow).

And because f(x) is defined in the values of x near x0, we can conclude that  the limit does exist if:

[tex]\lim_{x \to \x0+} f(x) = \lim_{x \to \x0-} f(x)[/tex]

if that does not happen, like in f(x) = 1/x where x0 = 0

where the lower limit is negative and the upper limit is positive, we have that the limit does not converge.

Answer:

41.0501 ft²

Step-by-step explanation:

Area of a Sector (Radians): A = 1/2r²∅

We are given r and ∅, so simply plug it into the formula:

A = 1/2(5.6)²(5π/6)

A = 1/2(31.36)(5π/6)

A = 15.68(5π/6)

A = 41.0501 ft²

Answer:

[tex] y= x^2 -6x +(\frac{6}{2})^2 +14 -(\frac{6}{2})^2[/tex]

And solving we have:

[tex] y= x^2 -6x +9 + 14 -9[/tex]

[tex] y= (x-3)^2 +5[/tex]

And we can write the expression like this:

[tex] y-5 = (x-3)^2[/tex]

The vertex for this case would be:

[tex] V= (3,5)[/tex]

And the minimum for the function would be 3 and there is no maximum value for the function

Step-by-step explanation:

For this case we have the following equation given:

[tex] y= x^2 -6x +14[/tex]

We can complete the square like this:

[tex] y= x^2 -6x +(\frac{6}{2})^2 +14 -(\frac{6}{2})^2[/tex]

And solving we have:

[tex] y= x^2 -6x +9 + 14 -9[/tex]

[tex] y= (x-3)^2 +5[/tex]

And we can write the expression like this:

[tex] y-5 = (x-3)^2[/tex]

The vertex for this case would be:

[tex] V= (3,5)[/tex]

And the minimum for the function would be 3 and there is no maximum value for the function

Answer:

The angle of depression formed by Darius's sight line to the ranger station is 53.13°.

Step-by-step explanation:

Denote Darius's camp site as C, the ranger station as R and the tree as T.

Consider the triangle CTR.

TX is the altitude of the right angled triangle TXR.

The altitude of a right angled triangle forms two triangle that similar to each other.

So, ΔTXC [tex]\sim[/tex] ΔTXR.

Compute the measure of TX as follows:

[tex]\frac{CX}{TX}=\frac{TX}{RX}\\\\TX^{2}=CX\times RX\\\\TX=\sqrt{CX\times RX}[/tex]

      [tex]=\sqrt{18\times 32}\\\\=24\ \text{yd}[/tex]

The angle d represents the angle of depression formed by Darius's sight line to the ranger station.

Compute the value of d as follows:

[tex]tan\ d^{o}=\frac{RX}{TX}\\\\d^{o}=tan^{-1} [\frac{RX}{TX}][/tex]

    [tex]=tan^{-1} [\frac{32}{24}]\\\\=53.13[/tex]

Thus, the angle of depression formed by Darius's sight line to the ranger station is 53.13°.

Answer:

∠ YZX ≈ 39.4°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan XYZ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{XY}{YZ}[/tex] = [tex]\frac{12.4}{15.1}[/tex] , thus

∠ XYZ = [tex]tan^{-1}[/tex] ([tex]\frac{12.4}{15.1}[/tex] ) ≈ 39.4°

The approximate measure of angle YZX is 39.4°.

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  

For solving this exercise, first, draw a right triangle with dimensions given in the question. See the attached image.

From the image, you can see that it is possible to apply the trigonometric ratios to solve this question. The exercise gives two sides (12.4 cm and 15.1 cm ). Therefore, you can find  the approximate measure of angle YZX  from the trigonometric ratio below:

                         [tex]tan (YZX)=\frac{opposite\;side\;angle}{adjacent\;side\;angle}= \frac{12.4}{15.1} =0.687\\ \\ Then,\\ \\ arctan(\frac{12.4}{15.1} )=39.4$^{\circ}$[/tex]

So, the answer is 39.4º.

Learn more about the trigonometric ratios here:

https://brainly.com/question/11967894

Answer:

The answer is option A.

Step-by-step explanation:

2 - 35 can be written as 2 + (-35) since in 2+( -35) when the bracket is removed it becomes 2 - 35.

Hope this helps

Answer:

Your correct answer is option a. 2 + (-35)

Step-by-step explanation:

When you are finding which equation is equivalent to the one you have, the best thing to find is what your equation's answer is.

Your answer would be 76.2% to the nearest tenth.

We can find this by first dividing 16 by 21 to get 0.7619. which is the proportion as a decimal. To convert this into a percentage, we need to multiply it by 100 to get 76.19% = 76.2% to the nearest tenth.

I hope this helps! Let me know if you have any questions :)

Answer:

20

Step-by-step explanation:

do 9/12 = 15/?

you do 12 times 15 divided by 9

hope this helps

Answer:

Hey there!

3/2= 1.5, which is good.

2/3=0.666666666666... no

3/4=0.75, which is good.

5/7= 0.71428... no

Answer:

these sequences are limited

you can try it in a calculator