Maura is jogging on her treadmill. She runs 2.25 miles in 1/2 of an hour. At that speed, how many miles could Maura run in 1 1/2 hours?

Answer:

Step-by-step explanation:

From the given information:

a.

Compute [tex]P(B')[/tex]:

[tex]P(B') = 1 - P(B) \\ \\P(B') = 1 - 0.46 \\ \\ P(B') = \mathbf{0.54}[/tex]

b.

Compute P(A ∩ B)

P(A ∩ B) =  P(A) +P(B) - P(A∪B)

P(A ∩ B) =  0.32 + 0.46 - 0.57

P(A ∩ B) =  0.21

Thus, since P(A ∩ B) ≠ 0, we can say that they are not mutually exclusive.

c.

P(A ∩ C) = P(A) +P(C) - P(A∪C)

P(A ∩ C) = 0.32 + 0.23 -0.55

P(A ∩ C) =  0

Thus, since P(A ∩ C) = 0, we can say that they are both mutually exclusive.

d. To determine  P[(A ∪ B ∪ C)′]

i.e. none of the events occurring

Then :

P(B ∩ C) = 0.46 +0.23 -0.49

P(B ∩ C) = 0.20

Therefore:

P(A ∪ B ∪ C) = P(A) + P(B) + P(C) - P(A ∩ B ) - P(A  ∩ C) - P(B ∩ C)  + P(A ∩ B ∩ C)

P(A ∪ B ∪ C) = 0.32 + 0.46 + 0.23 - 0.21 - 0 - 0.20 + 0

P(A ∪ B ∪ C) = 0.60

Answer:

Step-by-step explanation:

Given the vector v = 6i-6j, the magnitude is expressed as shown;

|v| = √6²+(-6)²

|v| = √36+36

|v| = √72

|v| = √2×36

|v| = √36×√2

|v| = 6√2

The modulus of the vector is 6√2

To get the direction, we will use the formula;

(theta) = tan^-1(y/x)

(theta) = tan^-1(-6/6)

(theta) = tan^-1(-1)

(theta) = -45°

Since the angle is negative and tan theta is negative the in the second quadrant, the positive direction angle of the vector will be 180° - 45° = 135°

The slope of the line passing through the given points (4, 8) and (2, 12) is -2.

Given the following points:

To find the slope of the line passing through the given points (4, 8) and (2, 12):

The slope of a line is simply the gradient of a line and it describes both the direction and steepness of an equation of a straight line.

Mathematically, the slope of a line is given by the following formula;

[tex]Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Substituting the given points into the formula, we have;

[tex]Slope. \;m = \frac{12 \;- \;8}{2\; - \;4}\\\\Slope. \;m = \frac{4}{-2}[/tex]

Slope, m = -2.

Therefore, the slope of the line passing through the given points is -2.

Read more: https://brainly.com/question/18123312

√36 indicates the principal (or positive) square root so √36=6 .

The square root of √36 is 6.

Hope this helps ! <3

Answer:

360000

Step-by-step explanation:

Well, we know the number must be above 350,000 because it was rounded up to 400,000. In order for the number to round down to 350,000 the number would have to be between 350,000-354999. So, the number could be any number in between those two numbers.

For example: The number COULD be 351,000 but, that is not the only possible answer.

but the answer would be 360000.

Answer:

It's 9,8

Step-by-step explanation:

Answer:

the point is (9,8).......

Answer:

1 to 150! hope that helps :)

Answer: the 1st plan

Step-by-step explanation:

Answer:

.125 should be your answer. Have a Great Day!

Step-by-step explanation:

Answer:

379/100

Step-by-step explanation:

6:10

(6 girls for every 10 students)

Answer:

6:10

6+4=10

Step-by-step explanation:

Answer:

9x = 63

x = 63/9

x = 7

hope it helps!

Answer:

7

Step-by-step explanation:

7 times 9 = 63

Answer:

B

Step-by-step explanation:

congruent mean the same, therefore the circles must be the same since they  are congruent.

Answer:

B. The radii of Circle A and Circle B have the same length.

Step-by-step explanation:

The radii, diameter, and circumference would be the same length for two circles that are congruent, therefore, the answer is B.

Answer:

7

Step-by-step explanation:

the difference is another way of saying subtraction so the subtraction of 9 and 2 which is obviously 7

Answer:

3

Step-by-step explanation:

Answer:

∴ Area of Desert 1 = 9,000,000 square miles

Area of Desert 2 = 1,000,000 square miles

Step-by-step explanation:

let the area of Desert 1 = x

Let the area of desert 2 = y

Given:

x = 9y - - - - - - (1)

x + y = 10,000,000 - - - - -(2)

Replacing the value of x from equation 1 into equation 2:

x + y = 10,000,000

where x = 9y

9y + y = 10,000,000

10y = 10,000,000

y = 10,000,000 ÷ 10

y = 1,000,000 square mile

Next, finding x by putting the value of y into equation 1

x = 9y

where y = 1,000,000

∴ x = 9 × 1,000,000

x = 9,000,000 square miles

∴ Area of Desert 1 (x) = 9,000,000 square miles

Area of Desert 2 (y) = 1,000,000 square miles

Answer:

100/51

just took the test

Step-by-step explanation

Answer:

[tex]0.055[/tex]

Step-by-step explanation:

Let [tex]p[/tex] be the probability of lying an applicant, so,  [tex]p=20 \%[/tex].

[tex]\Rightarrow p=\frac {20}{100}=\frac {1}{5}\;\cdots (i)[/tex]

Any applicant will either lie or will tell the truth.

Let [tex]q[/tex] be the probability of telling the truth, so, [tex]q= 1-\frac {1}{5}[/tex]

[tex]\Rightarrow q=\frac {4}{5}[/tex]

As for every applicant [tex]p+q=1[/tex], so this is Bernoullies trials, for which

the probability of success of exactly [tex]x[/tex] times of an event out of [tex]n[/tex] trials is [tex]P(x)=\binom {n}{x} p^xq^{n-x}\; \cdots (iii)[/tex].

Now, let [tex]E[/tex] be the event of at least one of the applicants is lying out of [tex]11[/tex] applicants, here the total number of applicants, [tex]n=11[/tex].

So, [tex]P(E)= P(x=1)+ P(x=2)+\cdots+ P(x=11)[/tex]

This is equivalent to

[tex]P(E)=1-P(x=0)[/tex] as[tex][P(x=0)+P(x=1)+ P(x=2)+\cdots+ P(x=11)=1][/tex]

Now, from equation (iii),

[tex]P(E)=1-\binom {11}{0} p^0q^{11-0}[/tex]

[tex]\Rightarrow P(E)=1-11\left(\frac {1}{5}\right)^0\left(\frac {4}{5}\right)^{11}[/tex]   [from equations s (i) and (ii)]

[tex]\Rightarrow P(E)=1-11\times 1 \times \left(\frac {4}{5}\right)^{11}[/tex]

[tex]\Rightarrow P(E)=1-0.945[/tex] (approx)

[tex]\Rightarrow P(E)=0.055[/tex]

Hence, the probability that the lie detector indicates that at least one of the applicants is lying is [tex]0.055.[/tex]

Answer:

Step-by-step explanation:

(-1 -7)/(-5 + 5) = -8/0 = undefined

Answer:

don't know sorry......................

Answer:

y=120 degree z=120 degree and x=60degree

Step-by-step explanation:

y+60¤ =180¤(being straight line )

or,y=180¤-60¤

or,y=120¤

therefore y=120¤

Now z= 120¤ (being corresponding angle)

therefore z =120¤

here at last,

z+120=180 (being straight anngle)

or, z=60¤

therefore z =60¤

( ¤): degree

Answer:

i dont understand- theres 3 ways u can put them tho 7:8 , 7 to 8 , or 7/8

Step-by-step explanation:

Answer:

it is a linear function

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Make the equation from the blocks:

-7x + 7 = 5x + 16

Then simplify:

Subract 7 from both sides:

-7x = 5x + 9

Add 7x:

0 = 12x + 9

Subtract 9:

-9 = 12x

x = -9/12 = -3/4

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2.0625}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{2 \frac{1}{16}} [/tex]

First, convert the mixed number into improper fraction

[tex] \longrightarrow{ \sf{ \frac{2 \times 16 + 1}{6}}} [/tex]

[tex] \longrightarrow{ \sf{ \frac{32 + 1}{6}}} [/tex]

[tex] \longrightarrow{ \sf{ \frac{33}{16}}} [/tex]

Calculate

[tex] \longrightarrow{ \sf{2.0625}}[/tex]

Hope I helped!

Best regards! :D

Answer:

2.0625

Step-by-step explanation:

You're not dumb :)

Answer:

5x feet

Step-by-step explanation:

it is 5x because you got to take away the x and just add them together then and the x to the soultion you get

Answer:

x = - 19 y - 55 or point form (-19,55)

Answer:

0.09 = decimal

Answer:

Step-by-step explanation:

0.09 is definitely NOT a integer.

Integer is a whole number.

a decimal is a way of writing a number that is NOT a whole number.

so the answer to your question is.... DECIMAL.

Answer:

Mixed number: 5 5/6

Improper fraction: 35/6

Step-by-step explanation:

8 1/2 - 2 2/3

17/2 - 8/3

35/6

5 & 5/6

Hope this helps!

Plz name brainliest if possible!