dult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the z-score of a man 73.4 inches tall. (to 2 decimal places)

To solve -7y > 161, we divide both sides by -7 and we get y < -23. The inequality sign flipped because we divided both sides by a negative number.

To solve 7y > -161, we divide both sides by 7 and it leads to y > -23. The inequality sign does not flip in this case, because we are not dividing both sides by a negative number.

The similarities is that we end up with -23 on the right side, but the inequality signs are different.

Answer: 96

Step-by-step explanation:

Answer:

m=0

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

Since -4-(-4)=0, we know that the slope has to be zero since the numerator is zero.

HTH :)

Answer: [tex]y = 3[/tex]

1. First, solve for unknown x.

[tex](x+5y=7)2[/tex]

2. Balance the equation.

[tex]2x+10y=14[/tex]

[tex]\mathrm {2x + 4y = -4}[/tex]

3. Now, we subtract.

[tex]6y = 18[/tex]

[tex]6[/tex] × [tex]3 = 18[/tex]

4. Finally, divide.

[tex]18/6=3[/tex]

Answer:

-30 feet

Step-by-step explanation:

it is -30 feet because that one is closest to sea level because -42 feet is -12 feet more than -30 feet. plsss give me brainliest plssss

Answer:

as

[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)=0[/tex]

so

[tex]y'=0[/tex]

Step-by-step explanation:

Given the function

[tex]y=\:1-x+\frac{x^2}{1}+x-x^2[/tex]

Taking derivative

[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)[/tex]

[tex]\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'[/tex]

[tex]=\frac{d}{dx}\left(1\right)-\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(\frac{x^2}{1}\right)+\frac{d}{dx}\left(x\right)-\frac{d}{dx}\left(x^2\right)[/tex]

as

[tex]\frac{d}{dx}\left(1\right)=0[/tex]         ∵ [tex]\mathrm{Derivative\:of\:a\:constant}:\quad \frac{d}{dx}\left(a\right)=0[/tex]

[tex]\frac{d}{dx}\left(x\right)=1[/tex]          ∵ [tex]\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1[/tex]

[tex]\frac{d}{dx}\left(\frac{x^2}{1}\right)=2x[/tex]      ∵ [tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}[/tex]

[tex]\frac{d}{dx}\left(x\right)=1[/tex]          ∵ [tex]\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1[/tex]

[tex]\frac{d}{dx}\left(\frac{x^2}{1}\right)=2x[/tex]      ∵ [tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}[/tex]

substituting all the values in the expression      

[tex]=\frac{d}{dx}\left(1\right)-\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(\frac{x^2}{1}\right)+\frac{d}{dx}\left(x\right)-\frac{d}{dx}\left(x^2\right)[/tex]

[tex]=0-1+2x+1-2x[/tex]

[tex]=0[/tex]

Hence,

[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)=0[/tex]

Therefore,

[tex]y'=0[/tex]

Answer:

10 quarts

Step-by-step explanation:

Since one, 4 quarts = 1 gallon,

he needs (2*4)+2 quarts= 10 quarts of soil

Given:

Chris has a collection of dimes and quarters worth $4.25.

To number of coins = 22

To find:

The number of quarters.

Solution:

Let x be the number of dimes and y be the number of quarters.

Total coins : [tex]x+y=22[/tex]          ...(i)

we know that, 1 dime = $0.10 and 1 quarter = $0.25.

Total value : [tex]0.10x+0.25y=4.25[/tex]      ...(ii)

Multiply equation (i) by 0.10 and subtract the result form (ii).

[tex]0.10x+0.25y-0.10(x+y)=4.25-0.10(22)[/tex]

[tex]0.10x+0.25y-0.10x-0.10y=4.25-2.20[/tex]

[tex]0.15y=2.05[/tex]

Divide both sides by 0.15.

[tex]y=\dfrac{2.05}{0.15}[/tex]

[tex]y=13.6667[/tex]

Number of quarter cannot be a decimal value.

[tex]y\approx 17[/tex]

Therefore, the number of quarter is about 17.

Answer:

10

Step-by-step explanation:

Answer:

x + (x-3) = 21

x + x - 3 = 21

2 x - 3 = 21

Explanation:

In this problem, let us first analyze the situation. It says here that Geraldo and Yan both had marbles of their own. The problem states that together, they have a total of 21 marbles. However, we know here from the problem that they have different number of marbles each. Geraldo seems to have lesser number of marbles than Yan. Yan have three marbles more than Geraldo.

We can write the equation starting from assigning the unknown.

We'll use x.

x is the number of marbles that Yan have.

if x is Yan's, then, we can say that x-3 is Geraldo's.

Put them together into the equation.

Yan's plus Geraldo's is equal to 21.

Substitute using the represented unknowns.

x + (x-3) = 21.

In solving, we can also rule out that:

x + x - 3 = 21

2 x - 3 = 21

2 x = 21 + 3

2 x = 24

x = 12

x - 3 = 9

Yan has 12 marbles

and Geraldo has 9 marbles.

Answer: X+(X-3)=21 or C

Answer:

so the answer is 8x+10y

Step-by-step explanation:

since we have to combine like terms like

3y+7y = 10y

and 6x + 2x= 8x

hope this helps!1

Answer: 8.36 a.m

Step-by-step explanation:

To solve this, first we need to calculate the lowest common multiple of 9 and 12.

Multiples of 9 = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108.

Multiples of 12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120.

Here, the lowest common multiple = 36

Therefore, we will add 8.00am plus 36 minutes. This will be:

= 8:00 a.m + 36 minutes

= 8.36 am

The time that the basic bowl and the gigantic bowl are first produced together is 8.36 am.

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

It is convenient to remember the ratios of side lengths of these "special triangles."

The side ratios of ΔABC are 1 : 1 : √2, so BC = AC/√2 = 6.

The side ratios of ΔBCD are 1 : √3 : 2, so BD = BC/2 = 6/2 = 3.

The value of x is 3.

Answer:

in multiplication we just multiply

Step-by-step explanation:

3/7×1/4

3/28

Answer:

Step-by-step explanation:

triangle ABC is an equilateral so all angles and sides are equal to each other

AB = 6

triangle DEF is an isosceles so two of its angles are equal to each other

a triangles angles add up to 180°

to find the measure of these angles we’ll write this equation:

x + x + 40 = 180

and solve for x

2x + 40 = 180

2x = 140

x = 70°

so mF is 70°

Answer:

4/10 maybe cuz 12 divided by 30 is 0.4 and 0.4 would be 4/10

Answer:

He goes 8 miles an hour

Step-by-step explanation:

8/2 is equal to 4. If Brandon bikes 4 miles in half an hour and keeps a constant speed he ends up biking 8 miles in an hour since two halves of an hour make one.

Answer:

9y-12x=36

9y=36+12x

y=(36+12x)÷9

Answer:  y=8 and x=3

Example: Because 9*8=72 and 12*3=36

72-36=36

Answer:

5/6

Step-by-step explanation:

1/2x3= 3/6

1/3x2=2/6

3/6+2/6=5/6

Answer:

yes

Step-by-step explanation:

Answer:

A, 38, 40

Step-by-step explanation:

a. A has to be the first graph because it starts at $ 25 and it rises as more work needs to get done

b.if you go from 50 up until you get to the line, then look left at the axis is about $38

c. C=25+s*0.25, substitute c=35 and find s

35=25+s*0.25 subtreact 25 from both sides

35-25= s*0.25

10=s*0.25 divide both sides by 0.25

10/0.25=s

40=s

The Answer is B so pick it.

Answer:

What does a goat say?BBBBBBB

Step-by-step explanation: