x-15≤-6 solve for x and simplify

Answer:

3

Step-by-step explanation:

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

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:

3/8÷2/5=3/8×5/2=15/16

Step-by-step explanation:

When dividing by fractions, invert and multiply.

3/8÷2/5=3/8×5/2=15/16

Answer:

The cost must be $32 since that is the only cost possible for the 1st deal  

Step-by-step explanation:

Let C represent the total cost of each deal  

Let T be the number of trips down the water slide

C = 32        for the 1st deal since the cost is the same regardless of how much she rides  

C = 18 + T  for the 2nd deal

To find when the two costs are equal set them equal to each other and solve for T

32 = 18 + T

T = 14  trips

The cost must be $32 since that is the only cost possible for the 1st deal  

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:

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:

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:

Step-by-step explanation:

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

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:

3

Step-by-step explanation:

The set with 4 elements are listened, a,b,c,d

the set that is given is A, b, c.

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:

Sara's speed was 6.4 meters per second faster

Step-by-step explanation:

(Were going to name the olympian steve)

First, we have to find how many meters per second Steve ran. To find this we must divide the number of meters he ran by the amount of time it took him to run all 100 meters.

100 ÷ 9.6 =10.41666667

Since the problem tells us to round to the nearest tenth of a second we round 10.41666667 to 10.4. So now we know how many meters per second Steve ran. Now all we have to do is subtract the number of meters per second Sarah ran, from the number of meters per second Steve ran.

Sarah- 16.8 meters per second

Steve- 10.4 meters per second

16.8-10.4= 6.4

And there you have it! Sarah ran 6.4 meters per second more than Steve. I hope this answer was accurate and helpful. I hope you have an AMAZING day!

Answer:

C

Step-by-step explanation:

Answer:

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

Answer:

It's 9,8

Step-by-step explanation:

Answer:

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

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:

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:

0

Step-by-step explanation:

It’s easy

Answer:

Error or Undefined

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:

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

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:

63.64%

Step-by-step explanation:

Let P(M) be the percentage of students enrolled in a mathematics course

Let P(C) be the percentage of students enrolled in a Computer Science (CS) course.

We are told that One-fifth of those taking a mathematics course arealso taking a computer science course.

Thus, we can write that as:

P(M|C) = 1/5,

We are also told that one-seventh of those taking a computer science course are also taking a mathematics course.

Thus, we can write it as;

P(C|M) = 1/7

According to sets notations, P(M ∩ C) will be the probability that any student is enrolled in both Maths and Computer Science.

Thus;

P(M ∩ C) = P(M|C)P(C) = (1/5)P(C)

Also,

P(M ∩ C) = P(C|M)P(M) = (1/7)P(M)

Equating them, we have;

(1/5)P(C) = (1/7)P(M)

P(C) = (5/7)P(M)

Now; P(M U C) = 1

Let's express out P(M U C)

P(M U C) = P(M) + P(C) - P(M ∩ C) = P(M) + (5/7)P(M) - (1/7)P(M) = (11/7)P(M)

1 = (11/7)P(M)

P(M) = 7/11 = 0.6364 or 63.64%

Answer:

379/100

Step-by-step explanation:

Answer: the 1st plan

Step-by-step explanation:

Answer:

4

Step-by-step explanation: