Times for an ambulance to respond to a medical emergency in a certain town are normally distributed with a
mean of 450 seconds and a standard deviation of 50 seconds.
Suppose there are 97 emergencies in that town.
In about how many emergencies are the response times expected between 400 seconds and 500 seconds?
31
33
47
66

Answers

Answer 1

Answer:

66

Step-by-step explanation:

The Empirical Rule states that 68% of data is between 1 standard deviation in a dataset of normal distribution, 95% falls between 2 standard deviations, and 99.7% between 3.

The mean is 450, and one standard deviation is between 450 ± 50 = 400 and 500. Therefore, we can say that 68% of the data falls between 400 and 500 seconds.

The data includes 97 emergencies, so we just need to find 68% of that, which is 0.68*97 = 65.96 (rounding up to 66)

Answer 2

There are 66 emergencies are the response times expected between 400 seconds and 500 seconds.

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

mean = 450 sec

standard deviation = 50 sec

Hence, We get;

450-50 =400

450+50=500

Now, In Between 400 sec and 500 sec means one deviation above and one deviation below the mean, and it is 68%.

68% = 0.68

Thus,

0.68 x 97 = 65.96 ≈ 66

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ2


Related Questions

100 POINTS AND BRAINLIEST FOR THIS WHOLE SEGMENT

a) Find zw, Write your answer in both polar form with ∈ [0, 2pi] and in complex form.

b) Find z^10. Write your answer in both polar form with ∈ [0, 2pi] and in complex form.

c) Find z/w. Write your answer in both polar form with ∈ [0, 2pi] and in complex form.

d) Find the three cube roots of z in complex form. Give answers correct to 4 decimal

places.

Answers

Answer:

See Below (Boxed Solutions).

Step-by-step explanation:

We are given the two complex numbers:

[tex]\displaystyle z = \sqrt{3} - i\text{ and } w = 6\left(\cos \frac{5\pi}{12} + i\sin \frac{5\pi}{12}\right)[/tex]

First, convert z to polar form. Recall that polar form of a complex number is:

[tex]z=r\left(\cos \theta + i\sin\theta\right)[/tex]

We will first find its modulus r, which is given by:

[tex]\displaystyle r = |z| = \sqrt{a^2+b^2}[/tex]

In this case, a = √3 and b = -1. Thus, the modulus is:

[tex]r = \sqrt{(\sqrt{3})^2 + (-1)^2} = 2[/tex]

Next, find the argument θ in [0, 2π). Recall that:

[tex]\displaystyle \tan \theta = \frac{b}{a}[/tex]

Therefore:

[tex]\displaystyle \theta = \arctan\frac{(-1)}{\sqrt{3}}[/tex]

Evaluate:

[tex]\displaystyle \theta = -\frac{\pi}{6}[/tex]

Since z must be in QIV, using reference angles, the argument will be:

[tex]\displaystyle \theta = \frac{11\pi}{6}[/tex]

Therefore, z in polar form is:

[tex]\displaystyle z=2\left(\cos \frac{11\pi}{6} + i \sin \frac{11\pi}{6}\right)[/tex]

Part A)

Recall that when multiplying two complex numbers z and w:

[tex]zw=r_1\cdot r_2 \left(\cos (\theta _1 + \theta _2) + i\sin(\theta_1 + \theta_2)\right)[/tex]

Therefore:

[tex]\displaystyle zw = (2)(6)\left(\cos\left(\frac{11\pi}{6} + \frac{5\pi}{12}\right) + i\sin\left(\frac{11\pi}{6} + \frac{5\pi}{12}\right)\right)[/tex]

Simplify. Hence, our polar form is:

[tex]\displaystyle\boxed{zw = 12\left(\cos\frac{9\pi}{4} + i\sin \frac{9\pi}{4}\right)}[/tex]

To find the complex form, evaluate:

[tex]\displaystyle zw = 12\cos \frac{9\pi}{4} + i\left(12\sin \frac{9\pi}{4}\right) =\boxed{ 6\sqrt{2} + 6i\sqrt{2}}[/tex]

Part B)

Recall that when raising a complex number to an exponent n:

[tex]\displaystyle z^n = r^n\left(\cos (n\cdot \theta) + i\sin (n\cdot \theta)\right)[/tex]

Therefore:

[tex]\displaystyle z^{10} = r^{10} \left(\cos (10\theta) + i\sin (10\theta)\right)[/tex]

Substitute:

[tex]\displaystyle z^{10} = (2)^{10} \left(\cos \left(10\left(\frac{11\pi}{6}\right)\right) + i\sin \left(10\left(\frac{11\pi}{6}\right)\right)\right)[/tex]

Simplify:

[tex]\displaystyle z^{10} = 1024\left(\cos\frac{55\pi}{3}+i\sin \frac{55\pi}{3}\right)[/tex]

Simplify using coterminal angles. Thus, the polar form is:

[tex]\displaystyle \boxed{z^{10} = 1024\left(\cos \frac{\pi}{3} + i\sin \frac{\pi}{3}\right)}[/tex]

And the complex form is:

[tex]\displaystyle z^{10} = 1024\cos \frac{\pi}{3} + i\left(1024\sin \frac{\pi}{3}\right) = \boxed{512+512i\sqrt{3}}[/tex]

Part C)

Recall that:

[tex]\displaystyle \frac{z}{w} = \frac{r_1}{r_2} \left(\cos (\theta_1-\theta_2)+i\sin(\theta_1-\theta_2)\right)[/tex]

Therefore:

[tex]\displaystyle \frac{z}{w} = \frac{(2)}{(6)}\left(\cos \left(\frac{11\pi}{6} - \frac{5\pi}{12}\right) + i \sin \left(\frac{11\pi}{6} - \frac{5\pi}{12}\right)\right)[/tex]

Simplify. Hence, our polar form is:

[tex]\displaystyle\boxed{ \frac{z}{w} = \frac{1}{3} \left(\cos \frac{17\pi}{12} + i \sin \frac{17\pi}{12}\right)}[/tex]

And the complex form is:

[tex]\displaystyle \begin{aligned} \frac{z}{w} &= \frac{1}{3} \cos\frac{5\pi}{12} + i \left(\frac{1}{3} \sin \frac{5\pi}{12}\right)\right)\\ \\ &=\frac{1}{3}\left(\frac{\sqrt{2}-\sqrt{6}}{4}\right) + i\left(\frac{1}{3}\left(- \frac{\sqrt{6} + \sqrt{2}}{4}\right)\right) \\ \\ &= \boxed{\frac{\sqrt{2} - \sqrt{6}}{12} -\frac{\sqrt{6}+\sqrt{2}}{12}i}\end{aligned}[/tex]

Part D)

Let a be a cube root of z. Then by definition:

[tex]\displaystyle a^3 = z = 2\left(\cos \frac{11\pi}{6} + i\sin \frac{11\pi}{6}\right)[/tex]

From the property in Part B, we know that:

[tex]\displaystyle a^3 = r^3\left(\cos (3\theta) + i\sin(3\theta)\right)[/tex]

Therefore:

[tex]\displaystyle r^3\left(\cos (3\theta) + i\sin (3\theta)\right) = 2\left(\cos \frac{11\pi}{6} + i\sin \frac{11\pi}{6}\right)[/tex]

If two complex numbers are equal, their modulus and arguments must be equivalent. Thus:

[tex]\displaystyle r^3 = 2\text{ and } 3\theta = \frac{11\pi}{6}[/tex]

The first equation can be easily solved:

[tex]r=\sqrt[3]{2}[/tex]

For the second equation, 3θ must equal 11π/6 and any other rotation. In other words:

[tex]\displaystyle 3\theta = \frac{11\pi}{6} + 2\pi n\text{ where } n\in \mathbb{Z}[/tex]

Solve for the argument:

[tex]\displaystyle \theta = \frac{11\pi}{18} + \frac{2n\pi}{3} \text{ where } n \in \mathbb{Z}[/tex]

There are three distinct solutions within [0, 2π):

[tex]\displaystyle \theta = \frac{11\pi}{18} , \frac{23\pi}{18}\text{ and } \frac{35\pi}{18}[/tex]

Hence, the three roots are:

[tex]\displaystyle a_1 = \sqrt[3]{2} \left(\cos\frac{11\pi}{18}+ \sin \frac{11\pi}{18}\right) \\ \\ \\ a_2 = \sqrt[3]{2} \left(\cos \frac{23\pi}{18} + i\sin\frac{23\pi}{18}\right) \\ \\ \\ a_3 = \sqrt[3]{2} \left(\cos \frac{35\pi}{18} + i\sin \frac{35\pi}{18}\right)[/tex]

Or, approximately:

[tex]\displaystyle\boxed{ a _ 1\approx -0.4309 + 1.1839i,} \\ \\ \boxed{a_2 \approx -0.8099-0.9652i,} \\ \\ \boxed{a_3\approx 1.2408-0.2188i}[/tex]

What is the slope of a line perpendicular to a line that contains the points (-5, 4) and (-2, 4)?

Select the best answer from the choices provided.
A.
0
B.
no slope
C.
8/3
D.
-3/8

Answers

Answer: B. No slope


Explanation: The slope of a perpendicular line will always be the negative reciprocal of the slope of the given line. That means that you first have to find the slope of the given line by using the two points on that line:

Point 1: (-5, 4)
Point 2: (-2, 4)
Slope=(y2-y1)/(x2-x1)
Slope=(4-4)/((-2)-(-5))
Slope=0/3

If the slope of the initial line is 0/3 and the slope of its perpendicular line is the negative reciprocal of that slope, that means the slope of the perpendicular line will be -3/0 which is undefined because you can’t divide -3 by 0.

Therefore, the slope of the perpendicular line is undefined, or in other words, there isn’t an exact slope.



Hope that helps シ

The list below shows the number of books read by students in Aram’s class over the summer. What is the mode of the data

3,6,12,4,3,5,4,8,4,10,4,8,7,5,7

Answers

Answer:

the mode is 4 because it appears the most times in the detail set

Answer:

The mode is 3

Step-by-step explanation:

The mode of a set of numbers is whatever number appears the most. So here, you have four 4's, which is the most common number

what is the radius of the semicircle

Answers

Answer:

20

Step-by-step explanation:

Hint: Use the Pythagorean Theorem
———————————————————
We’ll just listen to what the hint says

Pythagorean theorem: a^2 + b^2 = c^2

where a = 16 b = 12 and c = radius

16^2 + 12^2 = c^2

256 + 144 = c^2

c^2 = 400

square root 400

sqrt rt 400 = 20

The radius of the semicircle is 20

Which label on the cone below represents the vertex?
D
B
А.
С
ОА
D
Mark this and stum
Save and Exit

Answers

D is the answer because it represents the vertex

The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents g(x)?

g(x) = (x + 9)2 + 4
g(x) = (x + 9)2 − 4
g(x) = (x − 4)2 + 9
g(x) = (x + 4)2 + 9

Answers

Answer:

The function that represents g(x) is the third choice: g(x) = (x − 4)^2 + 9

Step-by-step explanation:

The original function has been shifted 9 units up (a vertical transformation). To show a vertical transformation, all we have to do is either add or subtract at the end of the function.

To show a shift upwards, we add the value of change.

To show a shift downwards, we subtract the value of change.

In this case, the original function f(x) = [tex]x^{2}[/tex] was translated 9 units up. Since we shifted up, we simply add 9 to the end of the function: g(x) = [tex]x^{2}[/tex] + 9

The original function has also been shifted 4 units to the right. This is a horizontal transformation. To show a horizontal transformation, we need to either add or subtract within the function (within the parenthesis).

To show a shift to the left, we add the value of change.

To show a shift to the right, we subtract the value of change.

*Notice: Moving left does NOT mean to subtract while moving right does NOT mean to add. The rules above are counterintuitive so pay attention when doing horizontal transformations.

In this case, the original function f(x) = [tex]x^{2}[/tex] was translated 4 units to the right. Since we shifted right, we must subtract 4 units within the function/parenthesis: g(x) = [tex](x-4)^{2}[/tex]

When we combine both vertical and horizontal changes, the only equation that follows these rules is the third choice: g(x) = (x − 4)^2 + 9

Answer: C

Step-by-step explanation:

Which of the following numbers has exactly two significant digits? OA) 3.40 OB) 2.125 OC) 1.0475 OD) 0.00050​

Answers

Answer:

Here, option (d) has significant digits. hence , option (d) ✓ is correct.

I need help I don't understand this at all.

Answers

-2(6+x)=18-3x-12-2x=18-3x-2x+3x=18+12x=30

please mark this answer as brainlist

help me plz tyyyyyyyyyy​

Answers

Answer:

c 6m hope to help

tjabssb

Answer:

3 m

Step-by-step explanation:

because all sides are equal

In the figure, p is parallel to s. Trasnversals t and w intersect at point L.
Statement

What is the missing reason in step 3?
a.) Alternate interior angles along parallel lines are congruent
b.) Alternate exterior angles along parallel lines are congruent
c.) Corresponding angles along parallel lines are congruent
d.) Vertical angles are congruent

Answers

Option C

Corresponding angles along parrellel lines are conguerent

Answered by Gauthmath pls mark brainliest and comment thanks and click thanks

Can someone help please

Answers

Answer:

[tex]10^{-3}[/tex]

Step-by-step explanation:

Answer:

https://tex.z-dn.net/?f=10%5E%7B-3%7D

Step-by-step explanation:

What is the answer to the question 3x+5x

Answers

Answer:

8x

Step-by-step explanation:

=3x+5x

=8x

Find the surface area of the cylinder in terms of T. 9 cm 19 cm Not drawn to scale O 211.5 cm 2 0 382.57 cm 2. O 333 77 cm2 o 504 лcm​

Answers

Answer:

hey the answer is cylinder= 211.5л!

solve this question :
-10k2+7

Answers

Answer:

-10k×2+7

= -20k+7

Step-by-step explanation:

is the answer

Find the value of a. Round
the nearest tenth.

Answers

Answer:

side A should be about 44cm

mr.brown can type 80 words in two minutes. how many words can he type in 40 minutes?

Answers

Answer:

Step-by-step explanation:

What is the average rate of change of the function over the interval x = 0 to x = 8?

f(x)=2x−1/3x+5
Enter your answer, as a fraction, in the box.

Answers

Answer:  13/145

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

Work Shown:

Plug in x = 0

[tex]f(x) = \frac{2x-1}{3x+5}\\\\f(0) = \frac{2*0-1}{3*0+5}\\\\f(0) = \frac{0-1}{0+5}\\\\f(0) = -\frac{1}{5}\\\\[/tex]

Repeat for x = 8

[tex]f(x) = \frac{2x-1}{3x+5}\\\\f(8) = \frac{2*8-1}{3*8+5}\\\\f(8) = \frac{16-1}{24+5}\\\\f(8) = \frac{15}{29}\\\\[/tex]

Now use the average rate of change formula

[tex]m = \frac{f(b)-f(a)}{b-a}\\\\m = \frac{f(8)-f(0)}{8-0}\\\\m = \frac{15/29 - (-1/5)}{8}\\\\m = \frac{15/29 + 1/5}{8}\\\\m = \frac{(15/29)*(5/5) + (1/5)*(29/29)}{8}\\\\m = \frac{75/145 + 29/145}{8}\\\\[/tex]

[tex]m=\frac{104/145}{8}\\\\m = \frac{104}{145} \div \frac{8}{1}\\\\m = \frac{104}{145} \times \frac{1}{8}\\\\m = \frac{104*1}{145*8}\\\\m = \frac{104}{1160}\\\\m = \frac{13}{145}\\\\[/tex]

En su cuenta bancaria, Sally tiene un saldo de -\$200.90−$200.90minus, dollar sign, 200, point, 90. Su amiga Shannon tiene un saldo bancario de -\$240.55−$240.55minus, dollar sign, 240, point, 55. ¿La cuenta bancaria de cuál amiga tiene más deuda

Answers

Answer:

Shannon

Step-by-step explanation:

Cuando se habla de lo que uno tiene, podemos usar números positivos.

Por ejemplo:

Pedro tiene 10 manzanas.

Para el caso de deudas, utilizamos números negativos, por ejemplo:

Pedro tiene -10 manzanas

Lo cual significa que Pedro debe 10 manzanas a alguien.

Entonces si le diéramos a Pedro 12 manzanas, el ahora tendría:

-10 + 12 = 2

Pedro tiene 2 manzanas, porque tuvo que entregar 10 de las 12 que le dimos para pagar su deuda.

Ahora vamos a resolver el problema:

La cuenta de Sally tiene un saldo de:

S = -$200.90

El signo negativo quiere decir que Sally tiene una deuda de $200.90

La cuenta de su amiga Shannon tiene un saldo de:

S' = -$240.55

De vuelta, el signo negativo quiere decir que Shannon tiene una deuda de $240.55

Con esto ya podemos concluir que la deuda de Shannon es mayor, por lo tanto Shannon es la que tiene más deuda.

A company distributes candies in bags labeled 23.6 ounces. The local bureau of weights and Measures randomly selects 60 bags of candies and obtain a sample mean of 24 ounces . Assuming that the standard deviation is 3.2. At 0.05 level of significance , test the claim that the bags contain more than 23.6 ounces . what is your conclusion about the claim.

Answers

Answer:

The p-value of the test is 0.166 > 0.05, which means that there is not sufficient evidence at the 0.05 significance level to conclude that the bags contain more than 23.6 ounces.

Step-by-step explanation:

A company distributes candies in bags labeled 23.6 ounces. Test if the mean is more than this:

At the null hypothesis, we test if the mean is of 23.6, that is:

[tex]H_0: \mu = 23.6[/tex]

At the alternative hypothesis, we test if the mean is of more than 23.6, that is:

[tex]H_1: \mu > 23.6[/tex]

The test statistic is:

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

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

23.6 is tested at the null hypothesis:

This means that [tex]\mu = 23.6[/tex]

The local bureau of weights and Measures randomly selects 60 bags of candies and obtain a sample mean of 24 ounces. Assuming that the standard deviation is 3.2.

This means that [tex]n = 60, X = 24, \sigma = 3.2[/tex]

Value of the test statistic:

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

[tex]z = \frac{24 - 23.6}{\frac{3.2}{\sqrt{60}}}[/tex]

[tex]z = 0.97[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 24, which is 1 subtracted by the p-value of z = 0.97.

Looking at the z-table, z = 0.97 has a p-value of 0.834.

1 - 0.834 = 0.166

The p-value of the test is 0.166 > 0.05, which means that there is not sufficient evidence at the 0.05 significance level to conclude that the bags contain more than 23.6 ounces.

Which series represents this situation? 1+1*7+1*7^ 2 +...1*7^ 6; 1+1*7+1*7^ 2 +...1*7^ 7; 7+1*7+1*7^ 2 +... 1*7^ 6; 7+1*7+1*7^ 2 +...1*7^ 7

Answers

Answer:

Step-by-step explanation:

The series is missing from the question. I will answer this question with a general explanation by using the following similar series:

[tex]\sum\limits^6_{n=0} 7^n[/tex]

Required

The series

To do this, we simply replace n with the values

[tex]\sum\limits^6_{n=0}[/tex] means n starts from 0 and ends at 6

[tex]\sum[/tex] means the series is a summation series

So, we have:

[tex]\sum\limits^6_{n=0} 7^n = 7^0 + 7^1 + 7^2 + ...... + 7^6[/tex]

[tex]\sum\limits^6_{n=0} 7^n = 1 + 7 + 7^2 + ...... + 7^6[/tex]

What is the area for the circle?

Answers

Answer:

108 squared centimeters

Step-by-step explanation:

Let's exchange π for 3:

area = πr^2

        = 3r^2

Now, as you can see, the radius of this circle is 6. Let's plug in the value of r:

area = 3r^2

        = 3 · 6^2

Simplify 6^2:

area = 3 · 6^2

        = 3 · 36

Multiply 3 by 36:

area = 3 · 36

area = 108

108 squared centimeters

True or false: You would get £3.50 in change from £10.00 if you bought a game for £7.50.

Please help me ASAP!!!!!!!!

Also please accept friend requests. :)

Thanks

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

False.

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

Change is the difference between how much you pay and the actual price of the item.

⸻⸻⸻⸻

[tex]10.00 - 7.50 = 2.50[/tex]

⸻⸻⸻⸻

You would actually receive 2.50.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

đồ thị hàm số có bao nhiêu tiệm cận

Answers

Answer:

c

Step-by-step explanation:

Can someone please help me find the answer to this question

Answers

Answer:

2,-2

you just have to look at the "menu" of choices and determine which one of the choices

fits the question... the f(-4) says you have to see which one of the three

choices has -4 in it ...

the middle one does -4≤x≤1 -4 is for sure in the range

this question #1 answer is "2" because the result is always a 2 for that choice...

the next question put in 3 ... three is greater than 1 (that is the third choice)

so the result is -(3) + 1 = -2

your answers are 2, and -2

Step-by-step explanation:

Anyone any good at math?
Is the relationship shown by the data linear? If so, model the data with an equation

Answers

Answer:

yes the x increases by 6 and the y decreases by 3.

y = -1/2x - 7/2

Step-by-step explanation:

find the slope :

(1,-4), (7, -7)

y2- y1 / x2 - x1

substitute those numbers and you get -1/2.

point slope form :

y - y1 = m(x- x1)

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

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

slope intercept form :

y = -1/2x - 7/2

does this help ?

this is the question. please help me​

Answers

Answer:

a.) 19.2cm

b.) 0.15375cm

Step-by-step explanation:

Cylinders are similar, so:

h1 / r1 = h2 / r2

8cm / 5cm = h2 / 12cm

h2 = (8cm × 12cm) / 5cm

h2 = 19.2cm

Same for b

32000cm2 / 246cm = 20cm2 / length

length = ((20 × 246) / 32000) cm

length = 0.15375cm

Jonathan has a comic book collection.
He tells you he sold half of them, but then bought 9 more new comics.
After this, Jonathan now has 81 comic books. How many comic books did he have before he sold some? a) Let b = the number of Jonathan had before selling some. Write the equation you would use to solve this problem.

Answers

144.
Ok so he bought 9, and now has 81. All we have to do is take 9 away from 81 again and then multiply it by 2.

The track team is trying to reduce their time for a relay race. Firstthey reduce their time by 2.1minutes. Then they are able to reduce that time by. If their final time is 3.96 minutes, what was their beginning time?

Answers

Answer:

8.16 or 6.06

Step-by-step explanation:

final is 3.96

they reduced their time twice by 2.1min

3.96+2.1+2. 1=8.16

A seat’s position on a Ferris wheel can be modelled by the function y = 18 cos 2.8(x + 1.2) + 21, where y represents the height in feet and x represents the time in minutes. Determine the diameter of the Ferris wheel.

Answers

Step-by-step explanation:

A ball is thrown straight up from a rooftop 320 feet high. The formula below describes the ball's height above the ground, h, in feet, t seconds after it was thrown. The ball misses the rooftop on its way down and eventually strikes the ground. How long will it take for the ball to hit the ground? Use this information to provide tick marks with appropriate numbers along the horizontal axis in the figure shown.

h=-16t^2+16t+320

Step by step expression

7)On subtracting 8 from x, the result is 2 . Form a linear
equation for the statement.

Answers

Answer:

8-x=2

-x=2-8

-x=-6

x=6

if 8 is subtract from 6answer is 2

Other Questions
answer this question ASAP Identify the element for each of these electron configurations. Then determine whether this configuration is the ground state or an excited state. a. 1s2 2s2 2p6 3s2 3p6 4s2 3d 9 b. 1s2 2s2 2p6 3s2 3p6 4s2 3d10 4p6 5s2 4d10 5p6 6s2 4f 14 5d7 You have collected data about the fasting blood glucose (FBG) level of participants in your study. You are delighted to find that the variable is normally distributed. If the mean FBG is 82 and the standard deviation is 2.8 in what range would you expect to find the FBG of 68% of your study participants If f()=16-30 and g()=14-6, for which value of x does (f-g)(x)=0 A game decreased in price by 23. After the reduction it was priced at 17. What was the original price of the game? An investor owned a 100-acre parcel that contained several natural asphalt lakes. A construction company was erecting highways for the state in the vicinity of the investor's land and needed a supply of asphalt. The investor executed a document that, in return for a payment of $1 per barrel, gave the company the right to enter on the land and take asphalt in whatever quantities the company desired. The investor reserved the right to remove asphalt herself and to grant this right to others. Last year, the state commenced an action in eminent domain to take the investor's land for a public park. Is the construction company entitled to compensation A: I think that the grade my teacher gave me on my test is wrong. B: Realy? you ______ ( ought talk/ should to talk/ ought to talk) to her after class today. describe how the structure of the cuticle, palisade mesophyll, spongy mesophyll and guard cells are adapted for their functions A 550N object has a coefficient of .012 against a smooth surface. Whatforce is needed to keep the object sliding?(ANSWER to 1 decimal place, nounits) Chc nng c bn nht ca tin l g?A. Phng tin lu thng.B. Phng tin ct tr.C. Phng tin thanh ton.D. Thc o gi tr. What advice would you give someone about eating a healthy diet? Write a paragraph below, giving your ideas. Solve using the addition principle. 3y - 11 2y - 2 TaySachs Disease TaySachs disease is a genetic disorder that is usually fatal in young children. If both parents are carriers of the disease, the probability that their offspring will develop the disease is approximately .25. Suppose a husband and wife are both carriers of the disease and the wife is pregnant on three different occasions. If the occurrence of TaySachs in any one offspring is independent of the occurrence in any other, what are the probabilities ofthese events?a. All three children will develop TaySachs disease.b. Only one child will develop TaySachs disease.c. The third child will develop TaySachs disease, given that the first two did not. Which __________, this kind of seminar or computer based training? A. do you prefer B. did you prefer C. have you preferred D. has you preferred (a) Calculate the force needed to bring a 800 kg car to rest from a speed of 85.0 km/h in a distance of 115 m (a fairly typical distance for a nonpanic stop). N(b) Suppose instead the car hits a concrete abutment at full speed and is brought to a stop in 2.00 m. Calculate the force exerted on the car and compare it with the force found in part (a), i.e. find the ratio of the force in part(b) to the force in part(a). (force in part (b) / force in part (a)) Are the components of a solution fixed? 3. "Samuel"Which of the following is the correct possessive form of the bold word?It usually takes three hours to make Uncle Samuel famous spaghetti sauce.A. SamuelsB. SamuelsC. SamuelssD. Samueles write the answers correctly..science pls ineed the answer now please help me analysis this dilations geometry help please