You cut the 2 inch by 4 inch piece of wood along the indicated diagonal. Find the perimeter and area of the cross section formed by the cut

Using the normal distribution, it is found that the sections that are one standard deviation from the mean are 34 and 40.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 37, \sigma = 3[/tex]

The measures that are one standard deviation from the mean are given by X when Z = -1 and Z = 1, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1 = \frac{X - 37}{3}[/tex]

X - 37 = -3

X = 34

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1 = \frac{X - 37}{3}[/tex]

X - 37 = 3

X = 40

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Answer:

Step-by-step explanation:

For the length of AC

cosθ = 14/17

θ = arcCos 14/17

θ = 34.56

Let x = opposite

cot34.56  = 14/x

1.45=14/x

x1.45 = 14

x = 9.66

therefore, the length of AC is 9.66

For angle B is 34.56  

For angle C is 55.44

For Angle C :

90 + c + 34.56   = 180

c = 180 - 124.56

c = 55.44

Answer:

Step-by-step explanation:

Thanks Okay

Answer:

Step-by-step explanation:

   Number of candies that her sister gave = x

Total candies that Pam has now = 27

  x +  15 = 27

       x + 15 = 27

   x + 15 - 15 = 27 - 15

               x  = 12

Answer:

Equations :

27 - 15 = x

15 + x = 27

Step-by-step explanation:

So, we know that 1. Pam starts with 15 candies. and 2. Pam ends up having 27 candies. This means, that she gained candy.

To figure out how many candies her sister gave, her, we have to find the difference between 27 and 15 becuase she goes from having 15 to having 27 after her sister had given some.

x will represent how many cadies Pams' sister had given her :

27 -  15 = x

12 = x

This means Pams' sister gave 12 candies to Pam. To make sure we are correct, we can simply start with how many candies Pam started with (15). And add how many we think her sister added (12)

15 + 12

15 + 12 = 27

Therefore proving, and meaning, that Pams' sister gave her 12 candies.

Possible Equations :

27 - 15 = x

End total (27) minus starting total (15).

15 + x = 27

Starting total (15) plus how many she gained (x) equal to end total (27).

Answer:

y=3x-12

Step-by-step explanation:

We need to find the m of y = mx+b which is the slope:

-3-(-6)/3-2 = 3 as our slope

We know have y = 3x+b.

If we keep applying slope to the point (2,-6) and go downwards. We hit (0,-12). That's our y intercept. So we replace b with our y intercept which is -12. We know get y = 3x-12

Answer:

h = 24 cm

Step-by-step explanation:

The triangles are similar.

Their dimensions are proportional.

Finding scale factor :

Finding h :

Volume of a Cylinder = pi x r^2 x height

diameter = 10, so radius = 5

height = 6

Volume = pi x 5^2 x 6

Volume = pi x 25 x 6

Volume = 150pi

Answer: 150pi cubic feet

Hope this helps!

Answer:

1/7

make sure to remember to remove a sweet when you take the second one, as it has been eaten.

Answer:

a. 1 triangle

Step-by-step explanation:

measure line QS=8.cm measure 85°on side Q

Answer:

will construct 1 triangle

Step-by-step explanation:

construct a line of Q to S 8cm

SQR let the angle stay in the middle of the letter (Q)

Q to R is 5cm

According to the table,

f(x) = -8   ⇒   x = -4

and according to the definition of g(x),

g(x) = -4   ⇒   x = 3

Then

(f o g)(x) = f(g(x)) = -8   ⇒   g(x) = -4   ⇒   x = 3

Answer:

20 ft²

Step-by-step explanation:

Formula :

Solving :

[tex]-13x+8=-8x-7\\\\8=5x-7\\\\15=5x\\\\3=x[/tex]

the value of x is 3.

Answer: X=3

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Since the common ratio between cats and dogs is 4:5. We want to know cat and dogs in the ratio X:20. Thus, we can set up the equation as 4/5=X/50. Cross multiplication gets us 80=5X  Solving for  we get that 80/5 =X....16 =X Now, we know that the number of cats there are is 16

The expected value of the defective skateboard will be 4/25. Then the correct option is B.

Probability distribution of a random variable is the collection of value and its probability pair for values of that considered random variable.

It might be a function, a table, etc.

The table is shown below.

Then the expected value of the defected skateboard will be

p = 0 x 9/10 + 1 x 1/20 + 2 x 1/25 + 3 x 1/100

p = 1/20 + 2/25 + 3/100

p = 5/100 + 8/100 + 3/100

p = 16/100

p = 4/25

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Answer:

No and the density changes along with the weight.

Answer:

  (a) No. The weight is more than 150 lb.

  (b) No. Density is not a function of volume.

Step-by-step explanation:

The weight of the aquarium is the product of the volume and the density of the contents.

The volume of the aquarium is the product of its dimensions:

  V = LWH = (1.75 ft)(1.75 ft)(1.75 ft) = 1.75³ ft³ = 5.359375 ft³

The weight of its contents, at 72 lb/ft³ will be ...

  (72 lb/ft³)(5.359375 ft³) = 385.875 lb

The aquarium should not be placed on the table. The weight of the aquarium is too great for the load limit of the table.

__

The density of water is the ratio of its mass to its volume. Density does not change with depth or volume. It is essentially constant. (Water is considered to be virtually incompressible. Its density changes slightly with temperature,)

No, the density of the water would not change.

_____

Additional comments

The half-full aquarium would weigh about 385.875/2 lb ≈ 194 lb. This is still too heavy for the table.

The density of water is actually about 62.4 lb/ft³. We assume the extra 10 lb/ft³ might take into account the weight of the aquarium and any gravel or other non-water content.

Answer:

−4a^2+2ab+8a

Step-by-step explanation:

−4a^2+2ab+8a is expressions of equivalent to ab2 + 6ab + 7a3 – 14a.

1 Answer. s(6) × t(6) is equivalent to (st)(6).

Thus, the expression (f + g)(4) is equal to f(4) + g(4).

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Answer:

I did the work and uploaded the picture i hope it helped!!

Answer: Solution- (10,4)

Step-by-step explanation:

x-2y=2   x-y=6              x-2(4)=2

-1(x-y=6)                        x-8=2

-x+y=-6                         +8  +8

                                      x=10

x-2y=2                            

-x+y=-6                           10-2(4)=2

-y=-4                                10-8=2

-1   -1                                  2=2

y=4

Hi Student!

Looking at the question, lets extract the important values and information that we believe will be important for this problem.  First of all, we are given the area of a circle which is 9409π and we are told to find the radius (rounding it to the nearest whole number).

Now that we have gathered our information, we can move onto the part of solving for the unknown using the area of a circle formula.  We can do  this by just plugging in the information that we have and solving for r which is the radius.

Plug in the values

Divide both sides by pi to get r^2 by itself

Square root both sides to get down to just r

Therefore, our final answer is that the length of the radius is 97 centimeters which we were able to find using the area and the area of a circle formula.

Answer:

22 divided by 6 is about 3.67

Step-by-step explanation:

Answer:

Question 1 = 1 hour 30 minutes

Question 2 = he spent 30 more minutes driving

Step-by-step explanation:

time = distance ÷ speed

Answer:

Below in bold.

Step-by-step explanation:

Speed = distance / time.

a) Janet's journey:

40 = 60 / t

4ot = 60

t = 60/40 = 1 1/2 hours.

Janet's journey takes 1 1/2 hours.

b)  Bills journey:

40 = 80/t

t = 80/40 = 2 hours.

Bill travels for 1/2 hour more than Janet.

Answer:

   45. (4) (2, 2)

Step-by-step explanation:

Question 45

Solutions

We'll take x = 2 as no options with x = 3 are listed.

Ordered pair

Answer:

17 3/4 feet.

Step-by-step explan

Length × Width = Area

Answer:

The length x the widith. If there's more then 4 sides I think you just multiply them all together

Step-by-step explanation:

Answer:

A.) X greater than 3/5


Open circles are used for numbers that are less than or greater than (< or >). Closed circles are used for numbers that are less than or equal to and greater than or equal to (≤ or ≥).

Step-by-step explanation:

Have a great rest of your day
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The correct inequality that  has an open circle when it is graphed on a number line is,

1) x greater-than three-fifths

We have to given that,

All the expressions are,

1) x greater-than three-fifths

2) Start Fraction 4 over 7 End Fraction greater-than-or-equal-to x

3) x less-than-or-equal-to 12

4) x greater-than-or-equal-to negative 6.

We can write all the inequality as,

1)  x greater-than three-fifths

⇒ x > 3/5

Since, it has symbol '>' which represent open circle.

Hence, It is true.

2) Start Fraction 4 over 7 End Fraction greater-than-or-equal-to x.

4/7 ≥ x

Since, it has symbol '≥' which represent closed circle.

Hence, It is not true.

3) x less-than-or-equal-to 12

x ≤ 12

Since, it has symbol '≥' which represent closed circle.

Hence, It is not true.

4) x greater-than-or-equal-to negative 6.

x ≥ - 6

Since, it has symbol '≥' which represent closed circle.

Hence, It is not true.

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Answer:

3/8 or 37.5 percent, if there were 200 students there would be 75 students who enjoy literature.

Answer:

No, because a right angle must not have the least 90°/. degrees c