Find x. Give reasons to justify your solution. b Lines AB and CD are straight lines.

Answer:B

Step-by-step explanation

Answer:

To simplify an expression, we should apply the order of operations top-down

Step-by-step explanation:

The order of operation can be represented as;

BODMAS

If we have an expression to simplify, then the order of operations is from left to right

This means that it is in a top-down fashion i.e from brackets to subtraction and not bottom-up order from subtraction to bracket

Answer:

-1 1/20.

Step-by-step explanation:

0.05 = 5/100

= 1/20

So -1.05 = -1 1/20.

Answer:

10

Step-by-step explanation:

Put the h+2 on the outside and 10h+20 on the inside

h+2 can go into 10h+20 ten times.

So the final answer is 10

Answer:

(a) 0.047

(b) 0.613

(c) 0.387

Step-by-step explanation:

In a sample of 1000 U.S. adults 217 think that most celebrities are good role models.

The proportion of U.S. adults who think that most celebrities are good role models is, p = 0.217.

Two U.S. adults are selected from this sample without replacement.

Let X denote the number of U.S. adults who think that most celebrities are good role models.

Both the individuals are independent of each other.

The random variable X follows a binomial distribution with parameters n = 2 and p = 0.217.

The probability mass function of X is:

[tex]P(X=x)={2\choose x}(0.217)^{x}(1-0.217)^{2-x};x=0,1,2[/tex]

(a)

Compute the probability that both adults think most celebrities are good role models as follows:

[tex]P(X=2)={2\choose 2}(0.217)^{2}(1-0.217)^{2-2}\\=1\times 0.047089\times 1\\=0.047[/tex]

Thus, the probability that both adults think most celebrities are good role models is 0.047.

(b)

Compute the probability that neither adult thinks most celebrities are good role models as follows:

[tex]P(X=0)={2\choose 0}(0.217)^{0}(1-0.217)^{2-0}\\=1\times 1\times 0.613089\\=0.613[/tex]

Thus, the probability that neither adult thinks most celebrities are good role models is 0.613.

(c)

Compute the probability that at least one of the two adults thinks most celebrities are good role models  as follows:

[tex]P(X\geq 1)=1-P(X<1)\\=1-P(X=0)\\=1-0.613\\=0.387[/tex]

Thus, the probability that at least one of the two adults thinks most celebrities are good role models  is 0.387

Answer:

0 times because 8 is greater than 0

Step-by-step explanation:

Answer:

the answer would be 0 because if you try to put 8 into 0, it wont so your answer would be 0

Answer:

5x-5

Step-by-step explanation:

add the expression and simplify 2x - 1 + 3 x  -4 add 2x and 3x

5x-1-4 subtract 4 from -1

equals 5x-5

Answer:

The 95 confidence interval   is  [tex]9.738  <  \mu < 10.262 [/tex]

Step-by-step explanation:

The sample size is  n  =  7

 The sample data  is  9.8, 10.2, 10.4, 9.8,10.0, 10.2, and 9.6 liters

Generally the sample mean is mathematically represented as

            [tex]\= x = \frac{\sum x_i }{n }[/tex]

=>          [tex]\= x = \frac{ 9.8 + 10.2 + 10.4 +\cdots + 9.6}{7 }[/tex]

=>          [tex]\= x = 10[/tex]

Generally the standard deviation is mathematically represented as

       [tex]\sigma = \sqrt{\frac{\sum ( x_i - \= x)^2 }{n-1} }[/tex]

=>    [tex]\sigma = \sqrt{\frac{ ( 9.8 - 10)^2 + ( 10.2 - 10)^2+ \cdots + ( 9.6 - 10)^2}{7-1} }[/tex]  

=>    [tex]\sigma =0.283[/tex]

Note : We are making use of t distribution because n is small i.e n < 30

Generally the degree of freedom is mathematically represented as

       [tex]df = n - 1[/tex]

=>     [tex]df = 7 - 1[/tex]

=>     [tex]df = 6[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the t distribution table the critical value  of   at a degree of freedom of    is  

   [tex]t_{\frac{\alpha }{2}, 6 } =  2.447 [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = t_{\frac{\alpha }{2} , 6} *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E = 2.447  *  \frac{0.283}{\sqrt{7} }[/tex]

=>    [tex]E =  0.262 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>    [tex]10 -0.262 <  \mu <10 + 0.262[/tex]

=>    [tex]9.738  <  \mu < 10.262 [/tex]

Answer:

-1

Step-by-step explanation:

Answer:

- 1/6 is correct

perpendicular refers to the opposite of 1/6 therefor being negative 1/6

Step-by-step explanation:

Answer:

0.948

Step-by-step explanation:

Given that:

Number of character ID = 32

Numbers = 0 - 9 = 10

Alphabets = A - F = 6

Likelihood of each number or alphabet is equal

Probability that atleast 16 characters in the ID are numbers

Probability of success (p) = required outcome / Total possible outcomes

p = 10/(10 + 6) = 5/8

P(at least 16 numbers), similar to 1 - p(at most 15)

Using the specified calculator :

Binomcdf(number of trials, p, 15) = 0.0520

1 - 0.0520 = 0.948

Answer: 7.04

Step-by-step explanation:

Subtract 154.94- 147.88 because its asking how much more you made on the second paycheck then the first. So in order to get the answer subtract

Answer: The number of car stereos had a CD player only = 72

Step-by-step explanation:

As per given,

Number of car stereos had CD player = 112

Number of car stereos had both CD and a cassette player= 40

Then, the number of car stereos  had a CD player only = (Number of car stereos had CD player ) -(Number of car stereos had both CD and a cassette player)

= 112- 40

= 72

Hence, The number of car stereos had a CD player only = 72

Answer:

4

Step-by-step explanation:

Answer:

7(y+2)=6

Step-by-step explanation:

its right

Answer:

The answer is 19.

Step-by-step explanation:

3x+1+12=9x+1

3x+13=9x+1

13=6x+1

12=6x

x=2

3(2)+1+12=19

Answer:

CA = 19

Step-by-step explanation:

3x + 1 + 12 = 9x + 1

combine like terms

3x + 13 = 9x + 1

Subtraction property of equality

3x - 3x + 13 = 9x - 3x + 1

13 = 6x + 1

Subtraction property of equality

13 - 1 = 6x + 1 - 1

12 = 6x

Division property of equality

12/6 = 6x/6

2 = x

Symmetric property of equality

x = 2

Substitute x for 2

9(2) + 1 = 19

Answer:

width = 15 ft

length = 18 ft

Step-by-step explanation:

lets assume the width is w, and length is l.

For the first equation, we all know that a rectangle is 2 widths and 2 lengths added up, which in "math" language looks like this:

2w+2l= 66

for the second equation, the problem says that the length is 3 ft greater than the width. From there, we can derive the equation:

w+3 = l

Now you can substitute one of the variables, length or width, but it is easier to do length. The equation ends up being:

2(w+3) + 2w = 66

Distributive property:

2w+6+2w = 66

which is equal to:

4w+6 = 66

which finally is:

w=15 ft.

Now that we know the width, we can just add 3 to the width to get the length, according to the problem. You get:

L = 18 ft.

Answer:

if 2.4 is there it will become -2. 4

Answer:

lets say ella and 3 other friends went, so since there is 4 people in total, there will be 4 $5 dollar tickets, so you multiply 5 and 4 which is $20.

Step-by-step explanation:

Answer:

- 5

Step-by-step explanation:

Step 1:

g ( x ) = - 3x + 1      Function

Step 2:

g ( x ) = - 3 ( 2 ) + 1       Input x

Step 3:

g ( x ) = - 6 + 1      Multiply

Answer:

g ( x ) = - 5      Add

Hope This Helps :)

Answer:

300

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

300 x 1 = 300

1 x 300 = 300

Answer:

The code has 7 digits:

Here you are asking:

"What is the probability that the code is consisting only of the digits {1, 2, 3, 4, 5, 6, 7}?"

Ok, first we must calculate the number of all the possible codes.

Suppose that each digit is an independent event.

Each one of those events has 10 possible outcomes {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

And we have 7 of those.

The total number of possible combinations is equal to the product of the number of outcomes for each event, then the total number of possible combinations is:

C = 10^7.

Now let's calculate the number of possible codes if we only use the digits in the restriction.

We can do exactly the same as above, but now in each case, we have 7 possible outcomes for each digit, then in this case the number of possible combinations is:

c = 7^7.

Now the probability of generating at random a code that only uses the digits  {1, 2, 3, 4, 5, 6, 7} is equal to the quotient between the number of codes that only use these digits, and the total number of possible codes.

P = c/C = (7^7)/(10^7) = (7/10)^7 = 0.082

Answer:

pq - (p-q) = -11 checked

Step-by-step explanation:

p= -4, q = 5,

pq= -20, p-q = (-4) - 5 = -9

pq - (p-q) = -20 - (-9) -20 +9 = -11

Answer:

A) s = $40 (in thousands of dollars)

B) point of diminishing returns is at;

(20, 2000) in thousands of dollars

Step-by-step explanation:

We are given the profit function as;

P = −0.1s³ + 6s² + 400

A) To maximize the profit, we need to find the first derivative and equate it to zero.

Thus;

dP/ds = -0.3s² + 12s

At dP/ds = 0, we have;

-0.3s² + 12s = 0

0.3s² = 12s

0.3s = 12

s = 12/0.3

s = $40 (in thousands of dollars)

B) To find the point of diminishing returns, we need to find the 2nd derivative of the given profit function and equate to zero.

Thus;

d²P/ds² = -0.6s + 12

At d²P/ds² = 0, we have;

-0.6s + 12 = 0

0.6s = 12

s = 12/0.6

s = 20

At s = 20,

P = −0.1(20)³ + 6(20)² + 400

P = -800 + 2400 + 400

P = 2000

Thus; point of diminishing returns is at;

(20, 2000) in thousands of dollars

Answer:

x=2 and y=−3

Step-by-step explanation:

Answer:

The answer is C : $115.54

Step-by-step explanation:

If you add every single items cost together, the total is $109.00

60 + 14 = 74

10 + 25 = 35

74 + 35 = $109

You then caculate what 6% percent of 109 is = $6.54

After that, you add the total and percent together

$6.54 + $109.00  = $115.54

Answer:answer is c

Step-by-step explanation:I took edge 2022

Answer:

a) The function is equal to 0 when [tex]x = 0[/tex].

b) The function is equal to 30 when [tex]x = 3[/tex].

c) The function is equal to -12 when [tex]x = -3[/tex].

d) The function is equal to [tex]a\cdot (a+7)[/tex] when [tex]x = a[/tex].

e) The function is equal to [tex]x\cdot (x-7)[/tex] when [tex]x = -x[/tex].

Step-by-step explanation:

To this respect we must keep in mind that this exercise consists in evaluating given function at different values. Let [tex]f(x) = x^{2}+7\cdot x[/tex] the function to be evaluated:

a) [tex]x = 0[/tex]

[tex]f(0) = 0^{2}+7\cdot (0)[/tex]

[tex]f(0) = 0[/tex]

The function is equal to 0 when [tex]x = 0[/tex].

b) [tex]x = 3[/tex]

[tex]f(3) = 3^{2}+7\cdot (3)[/tex]

[tex]f(3) = 30[/tex]

The function is equal to 30 when [tex]x = 3[/tex].

c) [tex]x = -3[/tex]

[tex]f(-3) = (-3)^{2}+7\cdot (-3)[/tex]

[tex]f(-3) = -12[/tex]

The function is equal to -12 when [tex]x = -3[/tex].

d) [tex]x = a[/tex]

[tex]f(a) = a^{2}+7\cdot a[/tex]

[tex]f(a) = a\cdot (a+7)[/tex]

The function is equal to [tex]a\cdot (a+7)[/tex] when [tex]x = a[/tex].

e) [tex]x = -x[/tex]

[tex]f(-x) = (-x)^{2}+7\cdot (-x)[/tex]

[tex]f(-x) = x^{2} -7\cdot x[/tex]

[tex]f(-x) = x\cdot (x-7)[/tex]

The function is equal to [tex]x\cdot (x-7)[/tex] when [tex]x = -x[/tex].

Answer:

41.25 I believe

Step-by-step explanation:

Answer:

41.5 degree difference

Step-by-step explanation: