I woke up at 6:47 a.M. I spent 25 minutes showering and getting dressed then I walked down stairs. I got downstairs at _______. I then ate breakfast and read a book for ____ minutes before leaving the house at 7:42 a.M.

Answer: P(A∪B)=0.72. The answer is provided below.

Step-by-step explanation:

Sue travels by bus or walks whenever she goes to the shops.

Probability of (catching the bus to shop ), P(A)= 0.4

Probability of (catching the bus from the shop ), P(B) = 0.7

Both of the events A and B are independent events.

Therefore, P(A∩B) = 0.4 × 0.7

 = 0.28

Probability that Sue walks one way will be = 1 - P(A∩B)

= 1 - 0.28

= 0.72

Hence, the probability that Sue will walk at one way is 0.72

Final answer:

To find the probability that Sue walks at least one way, we calculate the complement of the probability of her taking the bus both ways. The probability of Sue taking the bus to and from the shops is 0.4 times 0.7, which equals 0.28. The probability that she walks at least one way is then 1 minus 0.28, giving us 0.72.

Explanation:

The question involves calculating the probability that Sue walks at least one way to or from the shops, given the probabilities of her taking the bus. We are given that the probability of Sue catching the bus to the shops is 0.4 and from the shops is 0.7. To find the probability of walking at least one way, we consider the complement of the event that she takes the bus both ways.

Firstly, we calculate the probability that she takes the bus both ways:

P(Bus to and from shops) = P(Bus to shops) × P(Bus from shops) = 0.4 × 0.7 = 0.28

Now, the probability that she doesn't take the bus both ways (which means she walks at least one way) is the complement of the above event:

P(Walk at least one way) = 1 - P(Bus both ways) = 1 - 0.28 = 0.72

Therefore, the probability that Sue walks at least one way is indeed 0.72, as required to show.

Answer:

d)0 and 7 are solutions of the original equation.

Step-by-step explanation:

Let's solve your equation step-by-step.

w=√7w

Step 1: Flip the equation.

√7w=w

Step 2: Solve Square Root.

√7w=w

7w=w2(Square both sides)

7w=w2

7w−w2=w2−w2(Subtract w^2 from both sides)

−w2+7w=0

w(−w+7)=0(Factor left side of equation)

w=0 or −w+7=0(Set factors equal to 0)

w=0 or w=7

Check answers. (Plug them in to make sure they work.)

w=0(Works in original equation)

w=7(Works in original equation)

Answer:

182

Step-by-step explanation:

You can start by realizing that 14 is 7*2, and that that is already a common multiple, meaning that you can forget about 7 entirely. Now, because 13 is prime, the least common multiple of 13 and 14 will just be 13*14=182. Hope this helps!

Answer:

182

Step-by-step explanation:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

Answer: "7 is a solution to the original equation. The value –1 is an extraneous solution."

Step-by-step explanation:

The equation [tex]x=\sqrt{6x+7}[/tex] can be solved by squaring both sides:

[tex]x^2 = 6x + 7\\\\x^2 - 6x - 7 = 0\\\\(x-7)(x+1) = 0[/tex]

We can see that -1 and 7 are solutions, but make sure they are not extraneous by substituting them in the original equation:

[tex]1 = \sqrt{-1}\\ 7 = \sqrt{49}[/tex]

The square root of 49 equals 7, but the square root of -1 is an imaginary number.

The correct choice is "7 is a solution to the original equation. The value –1 is an extraneous solution."

Answer: "7 is a solution to the original equation. The value –1 is an extraneous solution."

Step-by-step explanation:

Answer:

6.4

Step-by-step explanation:

A^2+B^2=C^2

(5*5)+(4*4)=C^2

25+16=[tex]C^{2}[/tex]

41=[tex]C^{2}[/tex]

[tex]\sqrt{41}[/tex]=[tex]\sqrt{C^{2} }[/tex]

c= 6.4

Answer:

m = 24

Step-by-step explanation:

(m + 7) + 2m + 11 = 90

3m + 18 = 90

3m = 72

m = 24

Answer:

132 square centimeters

Step-by-step explanation:

The surface area of a rectangular prism can be calculated with the formula [tex]2lh+2lw+2hw[/tex] where l represents length, h represents height, and w represents width. In this case, the equation is [tex]2\cdot 2\cdot 8 + 2\cdot 2\cdot 5 + 2\cdot 8\cdot 5=132[/tex] square centimeters. Hope this helps!

Answer:

x=9, y=3

Step-by-step explanation:

-4x+6y=-18

y=-2x+21

-4x+6(-2x+21)=-18

-4x-12x+126=-18

144=16x

x=9

y=-2x+21

y=-18+21

y=3

Answer:

x=9, y=3

Step-by-step explanation:

Answer:

The length of a leg of the isosceles triangle is 50√(2

Step-by-step explanation:

Since it is an isosceles right triangle, the length of the adjacent and the opposite is the same value which is let’s say x.

Mathematically; the square of the hypotenuse equals the square of the adjacent plus the square of the opposite according to Pythagoras.

Thus;

100^2 = x^2 + x^2

10000 = 2x^2

divide the through by 2, we have;

x^2 = 10,000/2

x^2 = 5,000

x = √5,000

x = √2,500 * 2

x = 50√2

Answer:

0.25

Step-by-step explanation:

25% can be written as the decimal 0.25. The word 'percent' means 'per 100. ' So, 25 percent is the same as 25 out of 100.

Answer:

[tex]25\% = \frac{25}{100 } \\ \\ 25\% = 0.25[/tex]

Answer:7.939

Step-by-step explanation:

Answer:

There would be 859 bacteria after 13 hours.

Step-by-step explanation:

The population of bacteria after t hours is given by the following equation:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial population and r is the growth rate.

The number of bacteria is able to double every 24 hours.

This means that [tex]P(24) = 2P(0)[/tex]. So

[tex]P(t) = P(0)e^{rt}[/tex]

[tex]2P(0) = P(0)e^{24r}[/tex]

[tex]e^{24r} = 2[/tex]

[tex]\ln{e^{24r}} = \ln{2}[/tex]

[tex]24r = \ln{2}[/tex]

[tex]r = \frac{\ln{2}}{24}[/tex]

[tex]r = 0.0289[/tex]

590 bacteria are placed in a petri dish.

This means that P(0) = 590. So

[tex]P(t) = P(0)e^{rt}[/tex]

[tex]P(t) = 590e^{0.0289t}[/tex]

How many bacteria would there be after 13 hours, to the nearest whole number?

This is P(13).

[tex]P(t) = 590e^{0.0289t}[/tex]

[tex]P(13) = 590e^{0.0289*13} = 859[/tex]

There would be 859 bacteria after 13 hours.

Answer: 7.07

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

hope this helps

Step-by-step explanation:

Please have a look at the attached photo.

This question must be answered through a picture for your understanding

Hope it will find you well.

Answer:

3.Width is 2

4. 14 times

Step-by-step explanation:

3.

3x + 3x + x + x = 16

16 = 8x

x=2

Width is 2

4.

5 - 3 = 2

Safety equipment costs $2 every day.

$28 divided by 2 equals 14

must ride the trail 14 times

Hope this helps! please mark brainliest!

Answer:

Step-by-step explanation:

Answer:

Solve for the (number or thing that changes), so you need to (separate far from others)/get x by itself

-2x - 4 + 5x = 8 First I want to combine like terms (-2x and 5x)

-4 + 3x = 8 (Add 4 on both sides)

3x = 12 Then divide 3 into both sides to get x by itself

x = 4

Combine like terms (add the 5x to the -2x to get 3x). Move the -4 to the other side to get 3x= 12. Divide both sides by 3 to get x=4. Apply the addition property of (a state where all things are equal), Apply the division property of (a state where all things are equal) to divide both sides by 3, Finally, check the solution by substituting 4 into the original equation.

*PLEASE MAKE TEXT INTO OWN WORDS IF POSSIBLE

Final answer:

The correct equation representing the relationship between x and y values is y = -2x + 12. This is found by recognizing the pattern in the table and using the slope-intercept form to find the slope and y-intercept. Thus, option A is correct.

Explanation:

The student is asking to determine which equation represents the relationship between the x values and the y values in the given table. To find the correct equation, we examine the pattern of changes in the x and y values.

The y values decrease by 2 as the x values increase by 1, indicating a slope of -2.

Starting with the x value of 1, which corresponds to a y value of 10, we apply the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

We find that the y-intercept, b, must be 12 to satisfy the equation when x is 1 (10 = -2(1) + b).

Thus, we can conclude that the equation representing the relationship between x and the y values is y = -2x + 12, which is option A.

This type of equation is a linear equation and the slope-intercept form is particularly useful for quickly identifying the slope and y-intercept of the line represented by the equation.

Answer:

-25,-18,-10,0,8

Step-by-step explanation:

Answer:

-25,-18,-10,0,8

Step-by-step explanation:

The more negative it is, the more less it is...so if you put them from least to greatest...it is...-25,-18,-10,0,8

Answer:no

Step-by-step explanation:

Answer:

C. x [tex]\geq[/tex] 0

Step-by-step explanation:

The answer is C, x is greater than or equal to zero, because that is the only answer that makes sense.

A) x can also be equal to 0, so this answer is wrong

B) x can't be -2, and it definitely can't be less than -2, so that's wrong.

D) Again, x can't be -2, or -1. It can't be any negative number because 4 * (a negative number) would put a negative sign under the square root. You can't take square roots of negative numbers.

Hope this is correct and that it helps you!

Answer:

You have to invest $5,020.71  to have $6,000 in 4 years 3 months at 4 1\5% annual interest, compounded monthly.

Step-by-step explanation:

Let the principal be x

Amount = $6000

Time = 4 years 3 months = [tex]4 years +\frac{3}{12} years = 4.25 years[/tex]

Rate of interest = [tex]4 \frac{1}{5}\% = \frac{21}{5}\%[/tex]

No. of compounds per year = 12

Formula:[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

[tex]6000=P(1+\frac{21}{500 \times 12})^{12 \times 4.25}[/tex]

[tex]\frac{6000}{(1+\frac{21}{500 \times 12})^{12 \times 4.25}}[/tex]=P

P=$5,020.71

Hence You have to invest $5,020.71  to have $6,000 in 4 years 3 months at 4 1\5% annual interest, compounded monthly.

Answer:

y = 5 * (1/2)^x

Step-by-step explanation:

This is an exponential function

y =ab^x

where a is the initial value ( where x = 0)

a = 5

y = 5 * b^x

Pick a point to determine b

(1,2.5)

2.5 = 5 * b^1

2.5 = 5 *b

Divide each side by 5

2.5/5 = b

b = 1/2

y = 5 * (1/2)^x

Answer:

x=-15

x=6

x=3

x=-21

Step-by-step explanation:

Answer:

2.4 inches per hour

Step-by-step explanation:

A total of 13.2 inches of snow fell during a snowstorm that lasted 5.5 hours and the same amount of snow fell each hour of the storm.

This means that there was a constant rate of snow fall.

To find how many inches of snow fell each hour, we divide the amount of snow fall by the amount of time that the snowstorm lasted.

That is:

[tex]R = \frac{13.2}{5.5}[/tex]

R = 2.4 inches per hour

This means that 2.4 inches of snow fell each hour during the snowstorm.

Answer:

2.4 inches

I did the quiz

Answer:

1032 yds

Step-by-step explanation:

Al =(a+b+c)h

Answer:

23p

Step-by-step explanation:

Pens : Cost

8       :  £1.84

divide each by 8

1 pen = £0.23 = 23p

Answer:

10[tex]\pi[/tex] meters.

Step-by-step explanation:

We know that to calculate the circumference of a circle, you must use the formula C=d[tex]\pi[/tex].

Since he swam half-way around the island, we will need to take half of our final answer.

To solve, you can begin substituting in the diameter by:

C=20[tex]\pi[/tex]

Now, take half of this answer.

[tex]\frac{C}{2}[/tex]=10[tex]\pi[/tex].

Answer: B

Step-by-step explanation:

For each year that a customer does not file a claim, their rate is reduced by 10%,

This means that every year that passes, we have a subtraction of a 10% (or 0.1 in decimal form)

And also for each yearm we have a credit of $5 awarded, this means that we have an addition of $5.

Then the relation is:

f(n + 1) = f(n) - 0.10*f(n) + $5

The correct option is B