Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)
μ = 40; σ = 16
P(50 ≤ x ≤ 70) =______.

All rectangles are parallelograms

Answer:

Cost of One Journal =  $3.99

Cost of One pen =  $0.59

Step-by-step explanation:

Let

Cost of One Journal = x

Cost of One pen = y

We can make equation from given statements.

Mr. Bowden purchases 18 journals and 40 pencils for $95.42.

[tex]18x+40y=95.42[/tex]

Ms. Jacinto purchases 11 journals and 16 pencils for $53.33.

[tex]11x+16y=53.33[/tex]

Now solving these equations to find the value of x

[tex]18x+40y=95.42--eq(1)\\11x+16y=53.33--eq(2)[/tex]

Multiply eq(1) with 2 and eq(2) with 5

[tex]36x+80y=190.84\\55x+80y=266.65\\-\:\:\:\:-\:\:\:\;\:\:\:\:\:\:\:-\\---------\\-19x=-75.81\\x=\frac{-75.81}{-19}\\x=3.99\\[/tex]

We get the value of x is: x=3.99

Now, putting value of x in equation 1 to find value of y.

[tex]18x+40y=95.42\\18(3.99)+40y=95.42\\71.82+40y=95.42\\40y=95.42-71.82\\40y=23.6\\y=\frac{23.6}{40}\\y= 0.59[/tex]

So, we get the value of y: y = 0.59

Now, finding the costs:

Cost of One Journal = x = $3.99

Cost of One pen = y = $0.59

Answer:

-0.1692

Step-by-step explanation:

use your cakculator

Answer:

42

Step-by-step explanation:

You need to follow P--E--M--D--A--S

                                A  X  U   I    A  U                

                                R  P   L   V   D  B

                                E  O  T    I    D  T

                                N  N  I    T    I   R

                                T  E   P    I    T  A

                                H  N  L   O   I   C

                                E  T   I    N   O  T

                                S  S  C         N   I

                                 I       A              O

                                S       T              N

                                          I

                                         O

                                         N

Answer:

The answer is <GBH

Step-by-step explanation:

ITS because its relation is vertically opposite angle

The place value of every digit in 167.7 is:

So, place the value of each digit of 167.7.

So, the place value of each digit is shown.

Therefore, the place value of every digit in 167.7 is:

Know more about place value here:

https://brainly.com/question/25137147

#SPJ2

Answer:

Angle E, Angle G, Angle F

Step-by-step explanation:

There is a theorem (forget the name) that says if the side opposite to is is larger, then its angle measure is larger. So here they are from smallest to largest. Angle E, Angle G, Angle F

Answer:

m<E < m<G < m<F

Step-by-step explanation:

it is a 30,60,90 Triangle E = 30, G = 60 and F = 90

Hello!

Slope = 0.004

Vertical Intercept = 29.

Basically, you can rearrange this equation so that is in the form of y = mx + b.

y = mx + b

C(n) = 0.04n + 29

The slope represents the rate of change of the cost per minute talked, and the 29 (vertical intercept) represents the monthly fee. The monthly fee will stay the same, however, the number of minutes talked is susceptible to change, hence the variable n represents it.

Answer:

565.49 inches cubed

Step-by-step explanation:

Answer:

V = approximately 565.49 in3

Answer:

0.5714

Step-by-step explanation:

tan theta = perpendicular upon base that is P/B

P= 4

B= 7

P/B = 4/7 = 0.5714

Answer:

They have the same slope

Step-by-step explanation:

slope=4

Answer:

15 cm

Step-by-step explanation:

Answer:

its C 30cm

Step-by-step explanation:

I multiplied 6x5=30

Answer:

y=5/3x-79/7

Step-by-step explanation:

(-4, -7)

x1    y1

(8,-13)

x2   y2

y2-y1/x2-x1=

13+7/8+4= 20/12= 10/6= 5/3

y=5/3x+b

-7=5/3(-4)+b

The equation of a line passing through the points (-4,-7) and (8,-13) will be x + 2y + 18 = 0.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The given points are (-4,-7) and (8,-13).

Then the equation of a line passing through the points (-4,-7) and (8,-13) will be

[tex]\begin{aligned} y + 13 &= \dfrac{-13+7}{8+4} (x - 8)\\\\y + 13 &= - \dfrac{1}{2} (x - 8)\\\\2y + 26 &= -x + 8\\\\x + 2y + 18 &= 0 \end{aligned}[/tex]

More about the linear system link is given below.

https://brainly.com/question/20379472

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The answer is 4 pairs.

Think of having x number of pairs, and $4.29x for the price of those pairs. 8.58 is standalone, so we focus on writing the equation:

[tex]8.58+4.29x=25.74\\4.29x=25.74-8.58\\4.29x=17.16\\\frac{4.29}{4.29}=\frac{17.16}{4.29} (division)\\x=4[/tex]

Answer:multiplication property of equality

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

2:10 = 2/10. 2/10 = 20/100, which equals 20%.

Answer:

No

Step-by-step explanation:

If there is 2 pizzas and one i cut in tree slices and the other is cut in eight slices the 8 slices are goind to be smaller. Hope this helps

Answer:

Yoyo

Step-by-step explanation:

Answer:

4(-3)(-2) = 24

Step-by-step explanation:

first solve the numbers in parenthesis.

4(-3)(-2)

= 4(6)

the negative sign cancels out in the product, because both of the numbers you multiplied are negative, which makes the product positive.

now solve for 4(6).

4(6) = 24

Answer:

1

Step-by-step explanation:

12 divided by 4 = 3

3 divided by 3 = 1

1/4

Answer:

406789

Step-by-step explanation:

Yes the are simailer because of SSS

Answer:

$9,630

Step-by-step explanation:

7% of $9000 is $630, so you just add $9000 and $630.

Answer:

Gradient of Line A: 0.75

Gradient of Line B: 0.8

Therefore the lines ARE NOT parallel.

Step-by-step explanation:

Find the gradient (slope) of line A and B respectively.

Line A Gradient:

Equation of line A is 3x - 4y = 5

Rewrite this in slope-intercept form as y = mx + b, where m is the gradient (slope).

Thus,

3x - 4y - 3x = -3x + 5

-4y = -3x + 5

Divide both sides by -4

y = ¾x + ⁵/4

The gradient = ¾ = 0.75

Line B Gradient:

Gradient of line passing through (4, 7) and (-1, 3)

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 7}{-1 - 4} = \frac{-4}{-5} = \frac{4}{5} [/tex]

Gradient (m) = ⅘ = 0.8

Since both lines do not have the same gradient, therefore the lines are not parallel.

Answer:

Slope of a line passing through ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2} , y_{2}[/tex]) is given by:

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

Now,

Slope of line L, (m) = [tex]\frac{-3-(-1)}{-2-2}[/tex] = 0.5

Slope of line M, (n) = [tex]\frac{-1-1}{W-1}[/tex] = [tex]\frac{-2}{W-1}[/tex]

If the lines L and M are parallel to each other,

m = n

or, 0.5 = [tex]\frac{-2}{W-1}[/tex]

or, 0.5 (W - 1) = -2

or, W - 1 = -4

or, W = -3

Therefore the required value of W is -3.

Answer:

2,407mg of sodium is the recommended daily amount

Step-by-step explanation:

Using the cross multiplication you will get the answer.

1. make the problem as a fraction   [tex]\frac{2070}{x} =\frac{86}{100}[/tex]  

2. Cross multiply (2070*100=86*x)

3. Simplify the equation left. 207000 = 86x

                                                 2407 ≈ x   (Divide both sides by 86)

Answer:

It really depends how well you are doing. It varies from time to time. Mine was about 40-50 questions

Answer:

the -1,17,0.7 but if i get it wrong i can give u free points

Step-by-step explanation:

Answer:

-1,17,0.7

Step-by-step explanation:

Answer:

A

Step-by-step explanation: