A manufacturer knows that their items have a normally distributed length, with a mean of 16.2 inches, and standard deviation of 0.9 inches. If one item is chosen at random, what is the probability that it is less than 16.4 inches long

Answer:

m = 136

Step-by-step explanation:

m/8 - 5 = 12

1. Add 5 on both sides

m/8 - 5 + 5 = 12 + 5

m/8 = 17

Multiply 8 on both sides since u are trying to isolate the variable

m/8 * 8 = 17*8

m = 136

Check

136/8 - 5 = 12

17 - 5 = 12

12 = 12

Hope it helped!

Step-by-step explanation:

[tex]\frac{m}{8}[/tex] - 5 = 12 : Original Problem

[tex]\frac{m}{8}[/tex] -5 +5 = 12 + 5 : Bringing the constants to one side

[tex]\frac{m}{8}[/tex] = 17 : Simplification

[tex]\frac{m}{8}[/tex]×8 = 17×8: Isolating the variable

m = 136 : The answer!!!

Checking the answer

[tex]\frac{136}{8}[/tex] -5 = 12 : Substitution

[tex]\frac{136}{8}[/tex] = 17 : Bringing constants to one side and simplification

136 = 17 × 8 : Isolating the answer

136 = 136 : Success!!!

I hope this is what you wanted and I hope this helps!!!

Answer:

NEED TO FIND WHAT

Step-by-step explanation:

Answer: pretty sure its 85

Step-by-step explanation:

Answer:

85°

Step-by-step explanation:

Line segment AB || line m

Therefore, BC is transversal.

[tex] \therefore m\angle ABC + (m\angle ACB +m\angle A D) = 180\degree[/tex]

[tex] \therefore m\angle ABC + (55\degree + 40\degree) = 180\degree[/tex]

[tex] \therefore m\angle ABC + 95\degree = 180\degree[/tex]

[tex] \therefore m\angle ABC = 180\degree -95\degree [/tex]

[tex] \therefore m\angle ABC = 85\degree [/tex]

Answer:

15

Step-by-step explanation:

hhwkdveiwvsjzvejdif

uh- this is the correct way to answer the problem....

−4x+12=−6x

Step 1: Add 6x to both sides.

−4x+12+6x=−6x+6x

2x+12=0

Step 2: Subtract 12 from both sides.

2x+12−12=0−12

2x=−12

Step 3: Divide both sides by 2.

[tex]\frac{2x}{2}[/tex] = [tex]\frac{-12}{2}[/tex]

x=−6

Answer:

y=1/2x-2

Step-by-step explanation:

perpendicular lines have a neg. reciprocal for the slope.

for example:

in this equation y=-2x+1

-2 is the slope and the negative reciprocal would be 1/2

hence, the slop of our new line is 1/2

y=1/2x+b

we can substitute the coordinates given for x and y:

2=1/2(8)+b

2=4+b

-2=b

hence the new equation is y=1/2x-2

Answer:

positive

Step-by-step explanation:

even negatives = positive

whatever positives = positive

positive*positive = positive

Answer:

Hello! Just here so the other person can get brainliest. I will do the same for the other questions.

Step-by-step explanation:

Answer:

24 quarts

Step-by-step explanation:

1 qrt = 75/2 = 37.5

900 / 37.5 = 24

Answer:

[tex]Scale\ Factor = \frac{1}{2}[/tex]

ABC dilated

Step-by-step explanation:

Given

Triangles ABC and DEF

Required

Determine the scale of dilation

First, we pick a side on ABC

[tex]AB = 6[/tex]

Pick a corresponding side on DEF

[tex]DE = 3[/tex]

The scale factor is then calculated as:

[tex]Scale\ Factor = \frac{DE}{AB}[/tex]

[tex]Scale\ Factor = \frac{1}{2}[/tex]

i.e. ABC was dilated by 1/2

Answer:

7

Step-by-step explanation:

(-5,7) lies in the graph!

Answer:

the second one

Step-by-step explanation:

Answer:

2nd answer

Step-by-step explanation:

x less than -3

Answer:

three

Step-by-step explanation:

3n+2m+1

There are three terms in the expression

3n,  2m,  and 1

Answer:

three terms are in this experssion 3n+2m+1

Answer:

[tex]x=23/\sqrt{6}[/tex],

[tex]y= \frac{23}{6\sqrt{6}}[/tex]

Step-by-step explanation:

From the question we are told that

Surface area is 529 square meters

Generally the dimensions of the cuboid

[tex]v=x^y[/tex]

[tex]D=4xy+2x^2 =529[/tex]

[tex]V=x^29(\frac{529-6x^2}{4x})[/tex]

[tex]V' =529-6x^2/4[/tex]

[tex]v'=0[/tex]

Therefore

[tex]529=6x^2[/tex]

[tex]x=\sqrt{\frac{529}{6} }[/tex]

[tex]x=23/\sqrt{6}[/tex]

Mathematically

[tex]v''=\frac{12x}{4}[/tex]

[tex]v''=-3\frac{23}{\sqrt{6} }<0[/tex]

[tex]y= \frac{529-2*(\frac{529}{6} }{4*\frac{23}{\sqrt{6} } }[/tex]

[tex]y= \frac{23}{6\sqrt{6}}[/tex]

Therefore

[tex]x=23/\sqrt{6}[/tex]

and

[tex]y= \frac{23}{6\sqrt{6}}[/tex]

Answer:

y=-0.215x^2+35

Step by Step:

Let, [tex]h=0[/tex],  [tex]k=35[/tex], [tex]x=8[/tex], [tex]y=21[/tex]

We know that, the general equation of the parabola.

   [tex]y-k = a(x-h)^2[/tex]

[tex]\Rightarrow y=a(x-h)^2+k .........(i)[/tex]

Substitute the  value of [tex]h, k, x, y[/tex] in equation [tex](i)[/tex] and find the value of [tex]a.[/tex]

  [tex]21=a(8-0)^2+35[/tex]

[tex]\Rightarrow 21=a\times 8^2+35[/tex]

[tex]\Rightarrow 21=64a+35[/tex]

[tex]\Rightarrow 64a=21-35[/tex]

[tex]\Rightarrow 64a=-14[/tex]

[tex]\Rightarrow a=\frac{-14}{65}[/tex]

[tex]\Rightarrow a=-0.215[/tex]

Hence, the equation of the parabola is:

[tex]y=-0.215x^2+35[/tex]

Answer:

35

Step-by-step explanation:

The number of students in Mr.Romano’s class is 35.

Given that, in Mr. Romano‘s class, 40% of the students like baseball.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of students in Mr.Romano’s class be x.

Here, 40% of x = 14

⇒ 40/100 × x = 14

⇒ 0.4x = 14

⇒ x = 14/0.4

⇒ x = 35

Therefore, the number of students in Mr.Romano’s class is 35.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Answer:

E only

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

the equivalent pair of expression are 2(x+5)and 2x+10

Answer:

It is the 3rd graph

Step-by-step explanation:

It is the only one that shows a porpotional relationship.

Answer:

sry mate.....

............

Answer:

It’s 10 inches, 12 inches, 13 inches

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

-3a + 4 = -14

-3a = -14 - 4

-3a = -18

a = -18 / 3

a = -6

Answer:

a = 6

Step-by-step explanation:

Step 1: Subtract 4 from both sides.

-3a + 4 - 4 = -14 - 4

+4 and -4 cancel out.

Step 2: Subtract 4 from -14 to get -18.

-3a = -18

Step 3: Divide both sides by -3.

a = -18/-3

Step 4: Divide -18 by -3 to get 6.

a = 6

Let's check our work by substituting a for 6.

-3(6) + 4 = -14

Multiply -3 by 6 to get -18.

-18 + 4 = -14

Add -18 and 4 to get -14.

-14 = -14

This is true, so a = 6.

Step-by-step explanation:

Kindly make the question clearer for assistance

Answer:

required answer is 9 of your question

Answer:

[tex]T(ln2)[/tex][tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]

Step-by-step explanation:

Given : [tex]r(t)=<7-\sqrt{e^t}, 3e^t,3e^t > .........(i)[/tex]

We first have to differentiate of equation [tex](i)[/tex]

[tex]r'(t) = < \frac{\sqrt{e^t} }{2} , 3e^t,3e^t> ..........(ii)[/tex]

Now to get a unit tangent vector at the given value of [tex]t[/tex], we put [tex]t = ln2[/tex] in equation [tex](ii)[/tex]

[tex]r'(ln2) = < \frac{\sqrt{e^{ln2}} }{2} , 3e^{ln2},3e^{ln2}>[/tex]

            [tex]= <\frac{1}{\sqrt{2} } ,6,6>[/tex]        [∵[tex]e^{lna}=a[/tex]]

Now to get a unit tangent vector , we will divide our vector [tex]r'(ln2)[/tex] by its magnitude. So let's first find the magnitude.

[tex]|r'(ln2)|=\sqrt{(\frac{1}{\sqrt{2} } )^2 +6^2+6^2}[/tex]

             [tex]= \sqrt{\frac{1}{2}+36+36 }[/tex]

             [tex]= \sqrt{\frac{145}{2} }[/tex]

Now we can find the our unit tangents vector.

      [tex]T(ln2)=\frac{r'(ln2)}{|r'(ln2)|}[/tex]

                  [tex]= \frac{<\frac{1}{\sqrt{2}} ,6,6> }{\sqrt{\frac{145}{2}} }[/tex]

                  [tex]= <\frac{\frac{1}{\sqrt{2} } }{\sqrt{\frac{145}{2}} } ,\frac{6}{{\sqrt{\frac{145}{2}} }}, \frac{6}{{\sqrt{\frac{145}{2}} }} >[/tex]

                   [tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]

Hence, [tex]T(ln2)[/tex] [tex]= <\sqrt{145} , \frac{6\sqrt{2} }{\sqrt{145} } , \frac{6\sqrt{2} }{\sqrt{145} } >[/tex]