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3 years ago

8

Suppose you did a survey of male shoes size and the mean of that survey was size 10.5 with a standard deviation of 1.5. What is

the z-score of a size of 8?
–1.67

–0.50

0.67

0.32

1 answer:

zubka84 [21]3 years ago

5 0

A is the answer because z=(8-10.5)/1.5= -1.67

Hope this help u

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PLEASE HELP!!!!!!!!!

Phantasy [73]

Part A : Substitution

Elimination

Argumentated matrices.

Part B :

1. Substitution is a method of solving systems of equations by removing all but one of the variables in one of the equations and then solving that equation. This is achieved by isolating the other variable in an equation and then substituting values for these variables in other another equation.

2. Elimination is another way to solve systems of equations by rewriting one of the equations in terms of only one variable. The elimination method achieves this by adding or subtracting equations from each other in order to cancel out one of the variables.

3. Augmented matrices can also be used to solve systems of equations. The augmented matrix consists of rows for each equation, columns for each variable, and an augmented column that contains the constant term on the other side of the equation.

Part C :

7x +y = 14

5x + y = 4

X= 5 and y = - 21

Hope this Helps : )

6 0

3 years ago

Prove that sin3a-cos3a/sina+cosa=2sin2a-1

Sloan [31]

Answer:

$\frac{sin(3a)-cos(3a)}{sin(a)+cos(a)} =2sin(2a)-1$

Step-by-step explanation:

we are given

$\frac{sin(3a)-cos(3a)}{sin(a)+cos(a)} =2sin(2a)-1$

we can simplify left side and make it equal to right side

we can use trig identity

$sin(3a)=3sin(a)-4sin^3(a)$

$cos(3a)=4cos^3(a)-3cos(a)$

now, we can plug values

$\frac{(3sin(a)-4sin^3(a))-(4cos^3(a)-3cos(a))}{sin(a)+cos(a)}$

now, we can simplify

$\frac{3sin(a)-4sin^3(a)-4cos^3(a)+3cos(a)}{sin(a)+cos(a)}$

$\frac{3sin(a)+3cos(a)-4sin^3(a)-4cos^3(a)}{sin(a)+cos(a)}$

$\frac{3(sin(a)+cos(a))-4(sin^3(a)+cos^3(a))}{sin(a)+cos(a)}$

now, we can factor it

$\frac{3(sin(a)+cos(a))-4(sin(a)+cos(a))(sin^2(a)+cos^2(a)-sin(a)cos(a)}{sin(a)+cos(a)}$

$\frac{(sin(a)+cos(a))[3-4(sin^2(a)+cos^2(a)-sin(a)cos(a)]}{sin(a)+cos(a)}$

we can use trig identity

$sin^2(a)+cos^2(a)=1$

$\frac{(sin(a)+cos(a))[3-4(1-sin(a)cos(a)]}{sin(a)+cos(a)}$

we can cancel terms

$=3-4(1-sin(a)cos(a))$

now, we can simplify it further

$=3-4+4sin(a)cos(a))$

$=-1+4sin(a)cos(a))$

$=4sin(a)cos(a)-1$

$=2\times 2sin(a)cos(a)-1$

now, we can use trig identity

$2sin(a)cos(a)=sin(2a)$

we can replace it

$=2sin(2a)-1$

so,

$\frac{sin(3a)-cos(3a)}{sin(a)+cos(a)} =2sin(2a)-1$

7 0

2 years ago

Read 2 more answers

Can anyone please help??

Igoryamba

There are infinite numbers

7 0

2 years ago

it have 3 sides but in the formula we have 4 sides which is (A b sides) (B base sides ) (C base side ) and (height) HEEELLLLPPPP

Vikki [24]

Answer:

225 m³ or 225 cubic meters

Step-by-step explanation:

Actually it has 5 sides, the 2 bases, the 3 lateral faces.

The formula for the volume of a triangular prism is: $\frac{h*b*l}{2}$

Using the given measurements, we get:

$\frac{9*5*10}{2} =\\\\\frac{450}{2} =\\\\225$

The volume of the prism is 225 m³

3 0

2 years ago

70 divided by 10 - 3 + 1 = 11 where to put parentheses

Aleonysh [2.5K]

Answer:

70/(10-3)+1=11

Step-by-step explanation:

simplify

70/(7)+1=11

10+1=11

11=11

6 0

2 years ago

Read 2 more answers