Are the two shapes are congruent?​

Answer:

$6

Step-by-step explanation:

Each pack is $3

So therefore if you multiply 2($3) it is $6 for two packs

Answer:

Explained below.

Step-by-step explanation:

The probability density function of lifetime in months of a transistor in a certain application is:

[tex]f(x)=0.4\cdot e^{-0.4x};x>0[/tex]

The probability density function suggests that the random variable X follows a exponential function with parameter λ = 0.4.

(a)

Compute the mean lifetime as follows:

[tex]\mu=\frac{1}{\lambda}=\frac{1}{0.40}=2.5[/tex]

Thus, the mean lifetime is 2.5 months.

(b)

Compute the standard deviation of the lifetimes as follows:

[tex]\sigma=\sqrt{\frac{1}{\lambda^{2}}}=\sqrt{\frac{1}{0.40^{2}}}=2.5[/tex]

Thus, the standard deviation of the lifetimes is 2.5 months.

(c)

The cumulative distribution function of the lifetime is:

[tex]CDF=1-e^{-0.40x}[/tex]

(d)

Compute the probability that the lifetime will be less than 6 months as follows:

[tex]P(X<6)=\int\limits^{6}_{0} {0.40\cdot e^{-0.40x}} \, dx[/tex]

               [tex]=0.40\times [\frac{e^{-0.40x}}{-0.40}]^{6}_{0}\\\\=-1\times [e^{-0.40\times6}-e^{-0.40\times0}]\\\\=-0.090718+1\\\\=0.909282\\\\\approx 0.9093[/tex]

Thus, the probability that the lifetime will be less than 6 months is 0.9093.

(e)

Compute the 60th percentile of the lifetime as follows:

[tex]P(X<x)=0.60\\\\\int\limits^{x}_{0} {0.40\cdot e^{-0.40x}} \, dx=0.60\\\\0.40\times [\frac{e^{-0.40x}}{-0.40}]^{x}_{0}=0.60\\\\-1\times [e^{-0.40\times x}-e^{-0.40\times0}]=0.60\\\\1-e^{-0.40x}=0.60\\\\e^{-0.40x}=0.40\\\\-0.40x=\ln(0.40)\\\\-0.40x=-0.916291\\\\x=2.2907275\\\\x\approx 2.3[/tex]

Thus, the 60th percentile of the lifetime is 2.3 months.

Answer:

x = 47

Step-by-step explanation:

So It most likely adds up to 180 degrees so.

x + 10 + x -10 + x - 10 + x + 6 = 180 (collect like terms)

4x -4 = 184 ( add 4 on both sides)

4x = 188 (divide 188 by 4)

x = 47

47 + 10 = 57 ----> x + 10

47 - 10 = 37 -----> x - 10

47 + 6 = 53 ------> x + 6

Answer:

x = 91

Step-by-step explanation:

The sum of interior angles in a rectangle is 360°

x + 10 + x - 10 + x - 10 + x + 6 = 360 add like terms

4x - 4 = 360

4x = 364 divide by 4

x = 91

Answer:

2.56≥30

b≥12

Step-by-step explanation:

Answer:

600 words.

Step-by-step explanation:

If Johanna can type 120 words in 3 minutes, and the problem is asking us to find how many words she can type in 10 minutes at the same unit rate, we'll have to start by solving how many words she can type in 1 minute:

[tex]\frac{120}{3}[/tex]

Dividing 120 words into 3:

[tex]=60[/tex] words per minute.

Now that we know how many words Johanna types in one minute (per minute), we can multiply the words per minute by 10 (minutes):

[tex]60[/tex] × [tex]10=600[/tex] words in 10 minutes.

_

We can check our work by dividing 600 words into 10 minutes to see if we achieve the same unit rate of 60 words per minute:

[tex]\frac{600}{10}[/tex]

[tex]=60[/tex] words per minute.

Since we have the same unit rate, our answer is correct!

Answer: {2, -9}

Step-by-step explanation: Think of these two binomials, x -2 and x + 9,

as two numbers that are multiplying together to equal zero.

In order for two numbers to multiply together to equal zero,

either one number or the other number must equal zero.

So for two binomials to multiply together to equal zero,

either one binomial or the other binomial must equal zero.

So we can split this problem up into two parts.

If (x - 2)(x + 9) = 0, then either x - 2 = 0 or x + 9 = 0.

On the left, add 2 to both sides and we have x = 2.

On the right, subtract 9 from both sides and we have x = -9.

For our final answer we use set notation.

So our answer is {2, -9}.

Answer:

2 and -9

Step-by-step explanation:

x-2=0

x=2

x+9=0

x=-9

Answer:

$207

Step-by-step explanation:

Given the following :

Data:

X : Distance From Times Square (city blocks)

Y: Cost of a Room (dollars) (y)

The linear regression model generated for the data :

y = -7.8x + 246.3

y = predicted variable ; - 7. 8 = slope of model ; x = predictor variable ; 246.3 = intercept

Using the model:

The cost of a Room 5 block away :

x = 5

y = -7.8(5) + 246.3

y = - 39 + 246.3

y = $207.3

6²[tex]x[/tex]−10

Step-by-step explanation:

wow-

Answer:

12 : 8, 18 : 12, 24 : 16, 30 : 20

Step-by-step explanation:

These are the four after 6:4. I didn't know which you needed.

Answer:

3:2

Step-by-step explanation:

If you want to simplify 6:4, it also makes an equivalent equation. To simplify this, we divide by the greatest number that both numbers can be evenly divided by. 6 and 4 can both be divided by 2, which is the biggest number we can divide both numbers by.

6/2=3

4/2=2

The ratio is now simplified/equivalent to 3:2.

I hope this helps...have an amazing day c:

Answer:

the answer is a

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Answer:

18%

Step-by-step explanation:

6840:38000*100 =

(6840*100):38000 =

684000:38000 = 18

Answer:

18

Step-by-step explanation:

(2) x 9

18

That's it

Byeeeee

h(x) = -x-1

Then just substitute x =6

Then,

h(6) = (- 6-1)

Answer:

563.76

here ya go

Answer:

563.76

Step-by-step explanation:

(8.59 x 104) - (3.2 x 103)

893.36 - 329.6

=563.76

Answer:

x = 3

y = − 2

Step-by-step explanation:

Answer:

-3x -3

If this is not the answer you are looking for plz let me know!!!

Answer:

-6x+8=14

Step-by-step explanation:

1/2*(-6x+8)-7 |+7

1/2*(-6x+8)=7 | ÷1/2

-6x+8=14

You mean sth like this?

Answer:

The expression to represent the total shipping costs for x package is 6x.

Tommy will pay $ 12 in shipping and handling for 2 packages.

Step-by-step explanation:

Given that the shipping and handling charge for 1 package = $ 6

So, by using the elementary method, the shipping and handling charge for x package is $ 6x.

Hence, the required expression to represent the total shipping costs for x package is 6x.

For 2 package, x=2

So, the shipping and handling charge for 2 package

=6x2

=12.

So, Tommy will pay $ 12 in shipping and handling for 2 packages.

Answer:

The answer is 3.

Step-by-step explanation:

If you divide a negative by a negative, then it equals a positive, because the two negatives cancel out.

So, -15/-5 = 3.

But, if it were -15/5 = ?

Then it would be -3, because there is only one negative, therefore it cannot cancel out.

Hope this helps! :)

Answer:

Juan ate 5/8 his little brother ate 3/8

Step-by-step explanation:

Answer:

juan = 5/8

brother = 3/8

Answer:

F=3x+2/2x

Step-by-step explanation:

Answer:

(-6, 7)

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

just substitute -1 for x

15(-1)+9 = -15+9 = -6

Answer:

The answer is A) 1/8^2

Step-by-step explanation:

Both of the equations simplified equal 1/64.

Answer:

45

Step-by-step explanation:

2x + 3y = 72 is a perfect equation to solve for the number of students and the number of teachers.    y= teachers   x= students.

Answer:

131

Step-by-step explanation:

Given that:

Median of a consecutive odd integers = 138

Greatest integer In dataset = 145

Least integer in dataset =

Since the integers are consecutive ;

Number of integers to greatest integer value : Greatest integer - median value = 145 - 138 = 7

Hence, 7 integers before the median value should give us the least integer value ;

138 - 7 = 131

CHECK:

131,132,133,134,135,136,137,138,139,140,141,142,143,144,145

Median = (n+1)/2 th term

Median = (15+1)/2 = 8th term = 138

Highest = 145

Least = 131

Answer:

131

Explanation:

It was in a Mathcounts competition

Answer:

210

Step-by-step explanation:

According to this question, y varies directly with x. Mathematically, This means that:

y =kx

Where k is the constant variable

If y=30 and x=0.75, then k will be;

k = y/x

k = 30/0.75

k = 40

Since k = 40,

y = 40x

Therefore, when x=5.25, the value of y will be:

y = 40x

y = 40 × 5.25

y = 210.

Your expression would be 18÷b=

Answer: 15

Step-by-step explanation: | | means the absolute value the absolute value of -15 is 15 because it is 15 units away from 0.