Mrs. Farquharson drove through a total of 36 intersections on her way home from work last week. At 4 of every 16 intersections, Mrs. Farquharson had to stop for a red light before she could drive through. At how many intersections did Mrs. Farquharson have to stop for a red light?

Answers

Answer 1

Answer: She had to stop at 9

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Solve the given system using the method of Example 3.25. x1 − x2 = 1 3x1 + x2 = 3 x = 1 0 Correct: Your answer is correct.
What is the value of (–7 + 3i) + (2 – 6i)? a. –9 – 3i b. –9 + 9i c. –5 + 9i d. –5 – 3i
"The municipal transportation authority determined that 58% of all drivers were speeding along a busy street. In an attempt to reduce this percentage, the city put up electronic speed monitors so that drivers would be warned if they were driving over the speed limit. A follow-up study is now planned to see if the speed monitors were effective. The null and alternative hypotheses of the test are H0 : π = 0.58 versus Ha : π < 0.58. It is planned to use a sample of 150 drivers taken at random times of the week and the test will be conducted at the 5% significance level. (a) What is the most number of drivers in the sample that can be speeding and still have them conclude that the alternative hypothesis is true? (b) Suppose the true value of π is 0.52. What is the power of the test? (c) How could the researchers modify the test in order to increase its power without increasing the probability of a Type I Error?"
Please explain as well 4x+3y=24 6x+5y=346x+5y=34 x= y=

9. In City A, the temperature rises 9 from 8 A.M. to 9 A.M. Then the temperature drops 8 from 9 A.M. to 10 A.M. In City B, the temperature drops 5º from 8 A.M. to 9 A.M. Then the temperature drops 4º from 9 A.M. to 10 A.M. a. What expression represents the change in temperature for City A? b. What integer represents the change in temperature for City A? c. What expression represents the change in temperature for City B? d. What integer represents the change in temperature for City B? e. Which city has the greater change in temperature from 8 A.M. to 10 A.M.? 10.

Answers

a.The expression for temperature change in City A is 9 + (-8)

b.The amount the temperature changes for City A = 1°F

c.The expression for temperature change in City B is -1 + (-3) = -4°F

d.The amount the temperature changes for City B = -4°F

What is temperature?

The degree of hotness or coldness of an object is called as temperature.

Now it is given that,

In City A,

rise in temperature from 8 am to 9 am = 9°F

drop in temperature from 9 am to 10 am = 8°F

In City B,

drop in temperature from 8 am to 9 am = 1°F

drop in temperature from 9 am to 10 am = 3°F

a.The expression for temperature change in City A

rise in temperature = +9°F

drop in temperature = -8°F

∴the expression for change in temperature for City A = 9 + (-8)

b.The amount the temperature changes for City A = 9 + (-8)= 1°F

c.The expression for temperature change in City B

drop in temperature = -1°F

drop in temperature = -3°F

∴the expression for change in temperature for City A = -1 + (-3)

d.The amount the temperature changes for City B = -1 + (-3)= -4°F

Hence,the required answers are,

a.The expression for temperature change in City A is 9 + (-8)

b.The amount the temperature changes for City A = 1°F

c.The expression for temperature change in City B is -1 + (-3) = -4°F

d.The amount the temperature changes for City B = -4°F

More about temperature change :

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3 days after the start of an experiment there were 484 bacteria in a culture. After 5 days there were 1135. Use a system of equations to determine the initial number of bacteria in the culture (c) and the k value for the growth

Answers

Answer:

c = 135
k = 0.42615

Step-by-step explanation:

We assume you want your model to be ...

p = c·e^(kt)

Filling in (t, p) values of (3, 484) and (5, 1135), we have two equations in the two unknowns:

484 = c·e^(3k)

1135 = c·e^(5k)

Taking logs makes these linear equations:

ln(484) = ln(c) +3k

ln(1135) = ln(c) +5k

Subtracting the first equation from the second, we have ...

ln(1135) -ln(484) = 2k

k = ln(1135/484)/2 ≈ 0.42615

Using that value in the first equation, we find ...

ln(484) = ln(c) +3(ln(1135/484)/2)

ln(c) = ln(484) -(3/2)ln(1135/484)

c = e^(ln(484) -(3/2)ln(1135/484)) ≈ 134.8

The initial number in the culture was 135, and the k-value is about 0.42615.

_____

I prefer to start with the model ...

p = 484·(1135/484)^((t-3)/2)

Then the initial value is that obtained when t=0:

c = 484·(1135/484)^(-3/2) = 134.778 ≈ 135

The value of k the log of the base for exponent t. It is ...

ln((1135/484)^(1/2)) = 0.426152

This starting model matches the given numbers exactly. The transformation to c·e^(kt) requires approximations that make it difficult to match the given numbers.

For this model, the base of the exponent is the ratio of the two given population values. The exponent is horizontally offset by the number of days for the first count, and scaled by the number of days between counts. The multiplier of the exponential term is the first count. The model can be written directly from the given data, with no computation required.

What is negative b minus 4b

Answers

-5b
is the the answer
- b - 4b = - 5b

35 points plz helpEvaluate −4(14)6x for x=13.

Enter your answer as a fraction in simplest form in the box.

Answers

Answer:

-15228

Step-by-step explanation:

Given the expression :

-4(14)6x for X = 13

To evaluate ; simply substitute 13 for X in the equation :

-14(14)6(13)

-14 * 14 * 6 * 13 = - 15228

Solve -9x-3x+4 = -10x - (2x- 4)

Answers

Answer:

All real numbers

Step-by-step explanation:

-9x-3x+4 = -10x - (2x- 4)

-12x+4=-10x-2+4

-12x+4=-12x+4

Answer:

−

, then set it equal to

−

(

−

)

Always true

Step-by-step explanation:

Question 3 (1 point)What is the value of x in the equation 8+4 = 2(x - 1)?
a
11/2
b
13/2
c
5
d
7

Answers

Answer:

D. 7

Step-by-step explanation:

(8+4) = 2(x-1) multiply (x-1) by 2

(8+4) = 2x-2 add 8 and 4

12 = 2x-2 add 2 on both sides

14 = 2x divide both sides by 2

7 = x

Answer is D

12 = 2x - 2

14 = 2x

14/2 = x

7 = x

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If f Subscript x(a,b)equals f Subscript y(a,b)equals0, does it follow that f has a local maximum or local minimum at (a,b)? Explain. Choose the correct answer below. A. Yes. The point (a,b) is a critical point and must be a local maximum or local minimum. B. Yes. The tangent plane to f at (a,b) is horizontal. This indicates the presence of a local maximum or a local minimum at (a,b). C. No. One (or both) of f Subscript x and f Subscript y must also not exist at (a,b) to be sure that f has a local maximum or local minimum at (a,b). D. No. It follows that (a,b) is a critical point of f, and (a,b) is a candidate for a local maximum or local minimum.

A drawer contains 3 tan sweaters and two black sweaters. You randomly choose two sweaters. What is the probability that both sweaters are black?

Solve for x.7x = 42