Oliver read for 450 minutes this month. His goal is to read for 10% more minutes next month if oliver meets his goal how many minutes will he read in all during the two months

Answers

Answer 1

Answer: 945 minutes
450/.1=45
450+45=495
450(month 1)+495(month 2)=945 minutes

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A certain genetic condition affects 8% of the population in a city of 10,000. Suppose there is a test for the condition that has an error rate of 1% (i.e., 1% false negatives and 1% false positives). Consider the values that would complete the table below.

Has condition Does not have condition totals

Test positive

Test negative

Totals

What is the probability (as a percentage) that a person has the condition if he or she tests positive? (Round your answer to one decimal place.)

Answers

Solution:

Population in the city= 10,000

As genetic condition affects 8% of the population.

8 % of 10,000

$=(8)/(100)* 10,000=800$

As, it is also given that, there is an error rate of 1% for condition (i.e., 1% false negatives and 1% false positives).

So, 1% false negatives means out of 800 tested who are found affected , means there are chances that 1% who was found affected are not affected at all.

So, 1% of 800 $=(1)/(100)* 800=8$

Also, 1% false positives means out of 10,000 tested,[10,000-800= 9200] who are found not affected , means there are chances that 1% who was found not affected can be affected also.

So, 1% of 9200 $=(1)/(100)* 9200=92$

1. Has condition Does not have condition totals = 800

2. Test positive =92

3. Test negative =8

4. Total =800 +92 +8=900

5. Probability (as a percentage) that a person has the condition if he or she tests positive= As 8% are found positive among 10,000 means 9200 are not found affected.But there are chances that out of 9200 , 1% may be affected

$=\frac{\text{1 percent of 9200}}{9200}\n\n ((1)/(100)* 9200)/(9200)=(92)/(9200)\n\n =0.01$

that is Probability equal to 0.01 or 1%.

Scura makes sun block and their annual revenues depend on how much they sell. Let x be the quantity of 5 oz. bottles of sun block that they make and sell each year measured in 1000 's of bottles. Thus if x=10 then they make and sell 10000 bottles of sun block each year. If x=25 then they make and sell 25000 bottles of sun block each year.a. If x=50 how many bottles of sun block does Scura make and sell?

b. What is x equal to if Scura produces and sells 45000 bottles of sunblock?

Answers

Answer:

a) 50,000 bottles

b) x = 45

Step-by-step explanation:

We are given the following in the question:

The annual revenue of sun block depends on how much they sell.

Let x be the quantity of 5 oz. bottles of sun block that they make and sell each year measured in 1000 's of bottles.

For x = 10,

10,000 bottles were made and sell each year.

For x = 25,

25,000 bottles of sun block were made and sell each year.

a) x = 50

$\text{Number of bottles} = 50* 1000 = 50,000$

Thus, 50,000 bottles of sun block does Scura make and sell.

b) Scura produces and sells 45000 bottles of sunblock

We have to find the value of x

$x = \displaystyle\frac{\text{Number of bottles}}{1000} = (45000)/(1000) = 45$

Thus, x = 45 if Scura produces and sells 45000 bottles of sunblock.

James is 10 feet below sea level if he increases his elevation by 30 feet what is his location?

Answers

His location would be 20 feet above the sea level because...

30+-10= 20 because adding a negative to a positive is basically like subtracting.

Can have a brainliest answer now please?

Find the length of the curve. R(t) = 2 i + t2 j + t3 k, 0 ≤ t ≤ 1

Answers

Length of a curve is the length of its plot its curve. The length of the given curve for given range of t is: L = 1.44 units approx.

How to find the length of a curve?

If the curve has position vector p(x) for value of x ranging from x = a to x = b,

then, the curve's length is calculated as:

$L = \int_a^b ||p'(x)||dx\n$ units.

For the given case, we have:

Position vector = $R(t) = 2\hat i + t^2 \hat j + t^3 \hat k$

Its differentiation gives:

$R'(t) = 2t\hat j + 3t^2\hat k$

Its non negative magnitude is: ||R'(t)|| = $√((2t)^2 + (3t^2)^2) = t√(4+9t^2)$

Thus, as t ranges from a = 0 to b = 1, thus, length of the curve is:

$L = \int_0^1 (t√(4+9t^2))dt\n\n\text{Let v = 4+9}t^2, \text{then dv = 18tdt}\nand\nt=0\implies v = 4\nt=1 \implies v = 13\nThus,\nL = \int_4^(13)((√(v))/(18))dv = (1)/(18) [(2(v)^(3/2))/(3)]^(13)_4 \approx (38.87)/(27) \approx 1.44 \: \rm units$

Thus,

The length of the given curve for given range of t is: L = 1.44 units approx.

Learn more about length of the curve here:

brainly.com/question/4464059

curve equation is

$\n \vec{R}\left ( t \right ) = 2\hat{i}+t^(2)\hat{j} + t^(3)\hat{k}$ ,0≤ t≤ 1

now taking the differentiation

$\n{R}'t = 2t\hat{i} + 3t^(2)\hat{j}$

now taking the modulus

$\left \| {R}'(t) \right \|=$ $\sqrt{4t^(2) +9t^(4)}$

= $\sqrt{4 + 9 t^(2) } .t$

now taking the integration

length of the curve = $\n\int t\sqrt{4 + 9 t^(2)} dt\n$

now put the value v= 4 + 9t²

dv= 18 tdt

now put this value in the above equation

we get

length of the curve = $\n(1)/(18)\int √(v)dv\n$

now taking integation we get and put the value of the v

we get

= $(1)/(18)$ × $(2)/(3)$ × $(4 + 9t^(2) )^{(3)/(2) }$

= $(1)/(27) ( 4 + 9 t^(2) )^{(3)/(2) }$

now find out the length of the curve in the interval from 0 to 1.

length of the curve $= (1)/(27) (13^{(3)/(2)} -4^{(3)/(2)} )\n=(1)/(27) (13√(13) -8)$

Hence proved

An above-ground swimming pool in the shape of a cylinder has a diameter of 16 feet and a height of 5 feet. If the pool is filled with water to 1.5 inches from the top of the pool, what is the volume, to the nearest cubic foot, of the water in the pool?⇆

Answers

Answer is lots of god Which equation is the inverse of y = 100 – x2?

The statement formed when an equal sign is placed between two expressions is called an _______.

Answers

An equation is created when two expressions are separated by an equal sign.

What is an equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

Given, A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is utilized. Based on the degree, there are three different sorts of equations. Equations that are linear, quadratic, and cubic.

Therefore, The statement formed when an equal sign is placed between two expressions is called an equation.

Learn more about the equation here:

brainly.com/question/16255566

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Hello there.

The statement formed when an equal sign is placed between two expressions is called an _______.
equation

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