The lifespan of a certain electronic toy is normally distributed, with a mean of 3000
hours and a standard deviation of 35 hours. Use the empirical rule to estimate the
probability that a randomly chosen toy has a lifespan between 2930 and 3070.
A) 68%
B) 95%
C) 97.5%
D) 99.7%

Answer:

s = [tex]\frac{3}{10}[/tex] m

Step-by-step explanation:

Given s varies directly with m then the equation relating them is

s = km ← k is the constant of variation

To find k use the condition s = 9 when m = 30 , thus

9 = 30k ( divide both sides by 30 )

k = [tex]\frac{9}{30}[/tex] = [tex]\frac{3}{10}[/tex]

s = [tex]\frac{3}{10}[/tex] m ← equation of variation

Answer:

the answer is function 1 has the larger max. at (4,1)

Step-by-step explanation:

draw function 2 : the vertex  is (1,-2)

the vertex of function 1 is (4,1)

The function 1 has a greater maximum value than function 2, and the ordered pair is (1,4).

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Linear function is a function whose graph is a straight line

We are given that;

f(x) = -x2 + 2x - 3

Now,

To find the maximum value of a function, we can use the vertex form of a quadratic equation, which is y=a(x−h)2+k

, where (h,k) is the vertex of the parabola. The maximum value of the function is the y-coordinate of the vertex.

For function 1, we can rewrite it as [tex]$$f(x) = -(x-1)^2 + 4$$[/tex]

by completing the square. This means that the vertex of function 1 is (1,4) and the maximum value is 4.

For function 2, we can rewrite it as

[tex]$$f(x) = -\frac{1}{4}(x+2)^2 - 2$$[/tex]

by completing the square. This means that the vertex of function 2 is (−2,−2) and the maximum value is -2.

Therefore, by the given function answer will be (1,4).

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Answer:

20%

Step-by-step explanation:

dosage change from 15 mg/d to 12 mg/d

change= 15-12= 3

change %= 3/15*100%= 20% decrease

-11 and -11 are the two numbers that adds to -22 and multiply to 121

If we add 11 and 11 then it equals to -22.

if we multiply 11 and 11 then,it equals to 121

hope it helps...

Good luck on your assignment

Answer: Both numbers are -11.

Step-by-step explanation:

You can represent this using two equations, where the variables are x and y:

[tex]x + y = -22\\x * y = 121[/tex]

Then, solve the system using substitution by substituting y in the first equation into the second equation:

[tex]y = -22 - x\\ x * (-22 - x) = 121\\\\-x^2 - 22x - 121 = 0\\x^2 + 22x + 121 = 0\\[/tex]

Then, solve the quadratic equation by factoring it:

[tex](x+11)^2 = 0[/tex]

The only solution (or zero) to the equation is -11.

This means that both numbers are equal to -11.

-11 - 11 = -22

-11 * -11 = 121

Answer:

y + 3 = -y + 9

-y         -y

3 = -2y + 9

+2y  +2y

2y + 3 = 9

     -3     -3

2y = 6

y = 3

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

First find total the weight of all red footed macaws whic is 525(2)=1050

and then the blue and gold macaws 800(3)= 2400

So add them both together yu get 3450grams or 3.45kg

So it is closer to 3kg because the total weight is under 3.5kg so that means you round down to 3kg. If it was 3.5kg you would round up to 4kg but their combined weight is not more than 3.45kg

Step-by-step explanation:

The like terms are 6u and 7u and also 2v and -7v so the answer is 9u - 5v - 2.

Answer:

648

Step-by-step explanation:

[tex]\frac{(2+4)^{4} }{2}[/tex]=

[tex]\frac{6^{4} }{2}[/tex]=

[tex]\frac{1296}{2}[/tex]=

648

Answer:

Remove the radical by raising each side to the index of the radical.

y  =  226

Step-by-step explanation:

Answer:

[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

Think, how many different variations are there? The answer is 16: 4 times 4=16

how many of these variations could be the same? lets check:

7 and 7    1

2 and 2  2

2 options out of 16, so the answer is 2/16 which can be simplified to:

[tex]\frac{1}{8}[/tex]

I hope this helps u!

Please give brainliests(i had 40 now for no reason down to 2 :.( ) and a thx ;)

Answer:

80

Step-by-step explanation:

70 + 30 = 100

180 - 100 = 80

Answer:

[tex]x = 80 \: \: degrees[/tex]

Step-by-step explanation:

[tex]70 + 30 + x = 180 \\ 100 + x = 180 \\ x = 180 - 100 \\ x = 80 \: \: degrees[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Third

Step-by-step explanation:

h c

0 485

3 560

8 685

12 785

The table that shows the relationship between h, the number of hours John’s brother works, and c, the total cost of the project is third table.

Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times or 3 is added 2 times.

Given that John paid $485 to build a deck.

And he will pay $25 per hour to his brother for building the deck.

one hour of work costs John $25 + $485 .

Total cost of building deck = $25 × h number of hours + $485

3 hour of work costs $25 × 3 = $75 + $485 = $560

8 hour of work costs = $25 × 8 = $200 + $485 = $685

12 hour of work costs = $25 × 12 = $300 + $485 = $785

Therefore, the third table suggests the total cost of work.

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Answer:

divide 10, - 10

+10, divide 10

Step-by-step explanation:

Answer:

350 → D → B → 25

350 → A → D → 36

Step-by-step explanation:

2nd question :

[tex]350 \div 10 = 35 \\ 35 - 10 = 25[/tex]

3rd question :

[tex]350 + 10 = 360 \\ 360 \div 10 = 36[/tex]

Answer: c the third option

Step-by-step explanation:

Answer:

Hope this helps!

Step-by-step explanation:

cost=flat fee+changing fee

flat fee=5.50

changing fee=cost per ticket times number of tickets

we know that 5 times cost per ticket=108

divide by 5

cost per ticket=21.6

c=number of tickets

total cost=5.5+21.6c

TC=21.6c+5.5

Answer:

[tex]L(t) = 1,100*(1+0.87)^{\frac{t}{2.4}}[/tex]

Step-by-step explanation:

The locust population grows according to an exponential model with the following general formula:

[tex]L(t) = L_0*(1+r)^{\frac{t}{T}}[/tex]

Where 'L0' is the initial locust population, 'r' is the increase rate after 'T' days, and 't' is the time passed, in days.

Applying the given data, the function that models the locust population t days since the first day of spring is:

[tex]L(t) = 1,100*(1+0.87)^{\frac{t}{2.4}}[/tex]

Answer:

4(3x+2)

Step-by-step explanation:

Just factor the expression.

An equivalent expression is,  4 (3x + 2)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 12x + 8

Now, We can find an equivalent expression as;

⇒ 12x + 8

⇒ 4 × 3x + 4 × 2

⇒ 4 (3x + 2)

Thus, An equivalent expression is,

⇒ 4 (3x + 2)

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Answer:

a = (d-c)/b

Step-by-step explanation:

ab + c = d

ab = d -c

a = (d-c)/b

Answer: a = d - c/b

Explanation: To get a by itself, we first subtract c from both sides.

So we have ab = d - c.

Now divide both sides by b to get a = d - c/b.

Answer:

42% * 320

Step-by-step explanation:

it's 147

Step-by-step explanation:

42/100 ×350/1=147

Answer:

yes

Step-by-step explanation:

Counterclockwise is going left, so if you start at the top, 270 degrees left of a clock will result in the same as 90 degrees clockwise.

Answer:

Yes it will.

Step-by-step explanation:

Imagine a circle. A full rotation is 360 degrees. So, that means you're going to be 90 degrees froma full rotation. That means that if you back track 90 degrees you're going to get to the same spot as when you go clockwise 270 degrees. The best way to think of it is having the hands of a clock start at 12.

Since our line is perpendicular to this line, the slope of

our line is the negative reciprocal of 1/4, which is -4/1.

Remember, negative reciprocal is just a fancy way

of saying flip the fraction and change the sign.

So the slope of our line is -4/1 and we use this slope along

with our given point to write the equation of our line.

Start with the point-slope formula.

Y - y1 = m(x - x1).

~Substitute

Y - -2 = -4/1(x - 5).

Minus a negative is plus a positive.

Y + 2 = -4/1x + 20.

Subtract 2 from both sides.

Y = -4/1x + 18

So, our answer is C.

Answer:

there is no mistake.

Step-by-step explanation:

the steps are all correct.

it cant be 'they should be divided' since that's not how it works.

it cant be 'tan 68 should be cos 68' since for cos we need [tex]\frac{adjacent}{hypotenuses}[/tex]

and since for tan it is [tex]\frac{opposite}{adjacent}[/tex] it cant be[tex]\frac{14}{x}[/tex]

Answer:

c=1

Step-by-step explanation:

Simplify both sides of the equation first.

−8(1+4c)+7c=−25−8c

(−8)(1)+(−8)(4c)+7c=−25+−8c

−8+−32c+7c=−25+−8c

(−32c+7c)+(−8)=−8c−25

−25c+−8=−8c−25

−25c−8=−8c−25

Add 8 to both sides.

−17c−8+8=−25+8

−17c=−17

Divide both sides by -17.

-17c/-17 = -17/-17

c=1

Answer:

26.7% is the percent of decrease

Step-by-step explanation:

$150=100% price (starting og price)

110 =? or x (discounted price)

We need to find what is the decrease from 150 to 110 in percentage

Use ratios to solve:

$150:100%

$110:x (unknown)

Cross multiply to find x

150 times x= 150x, and 100x110 = 11000

= 150x=11000

Lets get x all by itself to fully solve. We have to divide to get x by itself:

= 150x/150=11000/150 (divide 150 both sides always)

= 73.3,

Now we subtract 73.3 from 100 to get the decrease percentage

100-73.3=26.7 which is the percent of decrease

Answer:

$23.27

Step-by-step explanation:

yes

Hey!!

Given,

Length(l)=8m

Breadth(b)=5m

Volume of a cuboid(V)=200 m^3

Height(h)=?

Now,

Volume of a cuboid=l*b*h

or,200=8*5*h

or,200=40h

or,h=200/40

h=5 meter

The height is 5 meter.

Hope it helps

Good luck on your assignment

Answer:

[tex]height = 5m[/tex]

Step-by-step explanation:

[tex]volume = l \times b \times h \\ 200 = 8 \times 5 \times h \\ 200 = 40h \\ \frac{200}{40} = \frac{40h}{40} \\ h = 5m[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

sin=-1

cos=0

Step-by-step explanation:

The sin of an angle on the unit circle is y value of that point. You can see that the y value of it is at -1. The cosine of the angle is the x coordinate, which you can see is 0. Hope this helps!

you need an pic for an Answer:

Step-by-step explanation:

Answer:

0 squirrels

Step-by-step explanation:

If you subtract 98 from 105 then you get 7. That means that 7 squirrels will be lost per year. If you then multiply 7 by 15 (15 is the amount of years) then you get 105 and since there were 105 to start off with, there will be no squirrels left after 15 years.

Answer:

34 Squirrels

Step-by-step explanation:

7\ 105 ~0.07

A=Aoe^kt

A=98e^(-0.07•15)

A=98e^-.05

A=34.3~ 34 Squirrels

Answer:

7/12

Step-by-step explanation:

1/3 x4/4 = 4/12

1/4 x 3/3 = 3/12

4/12 + 3/12 = 7/12 = 5.83