2(x + 1) + 4 < - 2x + 6

Answer:

0.621%

Step-by-step explanation:

First of all let's find the z-score which is given by the formula;

z = (x' - μ)/σ

We are given;

Mean; μ = 80 g

Standard deviation; σ = 2 g

Test score; x' = 85 g

Thus;

z = (85 - 80)/2

z = 5/2

z = 2.5

From the z-distribution table attached, at z = 2.5, the probability is:

P(z > 2.5) = 1 - 0.99379 = 0.00621 or 0.621%

Answer:

=11/14

Step-by-step explanation:

Step-by-step explanation:

Number of blue marbles n(blue)=4

Number of red marbles n(red)=3

number of yellow marbles n(yellow)= 2

number of green marbles n(green)=5

total number of marbles n(S)=4+3+2+5=14

P(red)=n(red)/n(S)

P(red)=3/14

We have to determine the probability that the card picked is not red which means the card can be blue or yellow or green.

P(not red)=1-P(red)

               =1-3/14

                =11/14

Answer:

11/14

Step-by-step explanation:

These are all the marbles that are there:

4 blue

3 red

2 yellow

5 green

If you want to figure out the probability of a marble not being red, you can either find the probability that the marble is blue, yellow, or green or you could subtract the probability that the marble is red from 1 (same thing either way)

There are 14 marbles and 11 of them are not red, so the the probability that a marble drawn will not be red is 11/14.

Answer:

X = -10

Step-by-step explanation:

Combine like terms

2x + 34 = 14

minus 34.

2x = -20

divide by 2

x = -10

Answer:

x=-10???

Step-by-step explanation:

I just combined like terms and got it from there.

Answer:

P(A ∪ C) = 0.35

Step-by-step explanation:

Given:

25% speak Arabic

20% speak Chinese

10% speak both languages

Find:

Probability that the student can speak Chinese or Arabic P(A U C)

Computation:

P(A ∪ C) = P(A) + P(C) - P(A ∩ C)

P(A ∪ C) = 0.25 + 0.2 - 0.1

P(A ∪ C) = 0.35

Answer:

I think it goes like this: 10^-99, 10^-17, 10^-5, 10^5, 10^14, 10^30

Step-by-step explanation:

Answer:

  40

Step-by-step explanation:

2³ + 4×8

8 + 32 = 40

PEMDAS:

  Handle the exponents, multiply, then add.

Answer:

x=21

Step-by-step explanation:

(3+2x)/(x+9)=3/2

(x+9)(3+2x)=(3/2)(x+9)

3+2x=(3x+27)/2

2(3+2x)=3x+27

6+4x=3x+27

x=21

Answer:

12 ( or 24, depending on what the question is asking)

Step-by-step explanation:

The lowest common multiple of 12 and 2 is 12.

If Charlotte doesn't write anymore pages after writing the original twelve, and Barry writes 2 pages six times, they both write the same number of pages. So, the smallest number of pages is 12

However, if the question is asking for the smallest total number of pages, then the answer is 24 since they both write 12 pages each.

Answer:

5

Step-by-step explanation:

90-45 = 45

45 x 1/9 = 5

45 x 1/9 is the same thing as saying 45/9, FYI

Answer:

5

Step-by-step explanation:

sub 45 into x

h(x) = h(45)

h(45) = 1/9(90-45)

= 1/9(45)

= 5

^^

Answer:

38 students

Step-by-step explanation:

100+(16x6)=196

800-196=631

4.50+12=16.5

63/116.5=38.24

Answer:

100+4.50(s)+12(s)+96 less than or equal to 800

[tex] \leqslant [/tex]

s=students

Step-by-step explanation:

they can spend up to 800 dollars OR LESS. They have a charge of 100 dollars for the bus, plus a charge of 4.50 per student for lunches, plus a charge of 12 dollars per student for admissions plus 16 dollars times 6 (96) for the chaperones. All of this gives us our inequality above.

I really hope this helps!

PS: the reason why the adults don't get their own variable is because it says to define the variable not variable(s). You also cannot group the adults with the students because the student costs and the adult costs are two totally seperate and different amounts. if you just used variable p for people it wouldn't work because you wouldn't know how many adults were required to pay adult admission.

answer is 3.5903 or 3 kg 5903 gram

Answer:

72.1 degrees... 72 point 1 degress in case you cant see the ( . )

Step-by-step explanation:

62.4 minus -9.7= is 72.1

Answer: -12

Step-by-step explanation:

If the equation is multiplying all the numbers, the equation would be -2x2y, which is making the new equation is -2(-3)2(-1). Multiply the numbers 6x-2, which is -12

Answer:

4

Step-by-step explanation:

Answer: 1 student scored above an 85%.

Step-by-step explanation:

Let X = percentage score in test (normally distributed).

Given: Sample size = 15 , mean score : [tex]\mu[/tex]= 74.8% = 0.748 ,standard deviation :  [tex]\sigma=7.57[/tex]

Now, The probability that student scores above 85%:

[tex]P(X>85)=P(\dfrac{X-\mu}{\sigma}>\dfrac{85-74.8}{7.57})\\\\=P(Z>1.347)\\\\=1-P(Z<1.347)\\\\=1-0.9110= 0.089[/tex]

Probability that student scores above 85% = 0.089

Number of students scored above an 85% = 0.089 x 15 = 1.335 ≈ 1

hence, 1 student scored above an 85%.

Answer:

Answer: 1. x = 10, y = 6 2. x = 12, y = 3 3. x = 5, y = 2.5 4. x = 1, y = 14 5. x = 0.6, y = 7 6. x = 11, y = 1

Step-by-step explanation:

Answer:

P (x= 0) =  0.00384

P (x= 1) =   0.000009133

P (x= 2) = 0.00009399

P (x= 3) =  0.0061

P (x= 4) = 0.00281

P (x= 5) =  0.00975

P (x= 6) = 0.0264

P (x= 7) = 0.05772

P (x= 8) =  0.0202

P (x= 9) = 0.14550

P (x= 10) =  0.1733

P (x= 11) =  0.17077

P (x= 12) =  0.138751

P (x= 13) =  0.0925

P (x= 14) = 0.0501

P (x= 15) = 0.0217

P (x= 16) =  0.00735

P (x= 17) =  0.00187

P (x= 18) =  0.000259

P (x= 19) = 2 0.0000385

P (x= 20) =0.000000208

Step-by-step explanation:

This is a binomila probability distribution as the success and failure are same and number of trials is fixed.

Here p =0.52 and q= 1-0.52= 0.48

n= 20 Now the probability distribution of X = 0,1,2,--------20

Applying the binomial distribution we can find the probability  distribution of X taking the different values as

P (x= 0) = 20c0 (0.52)^0 (0.48)^20= 0.00384

P (x= 1) = 20c1 (0.52)^1 (0.48)^19=  0.000009133

P (x= 2) = 20c2 (0.52)^2 (0.48)^18=  0.00009399

P (x= 3) = 20c3 (0.52)^3 (0.48)^17= 0.0061

P (x= 4) = 20c4 (0.52)^4 (0.48)^16= 0.00281

P (x= 5) = 20c5 (0.52)^5 (0.48)^15= 0.00975

P (x= 6) = 20c6 (0.52)^6 (0.48)^14= 0.0264

P (x= 7) = 20c7 (0.52)^7 (0.48)^13= 0.05772

P (x= 8) = 20c8 (0.52)^8 (0.48)^12= 0.0202

P (x= 9) = 20c9 (0.52)^9 (0.48)^11= 0.14550

P (x= 10) = 20c10 (0.52)^10 (0.48)^10= 0.1733

P (x= 11) = 20c11 (0.52)^11 (0.48)^9= 0.17077

P (x= 12) = 20c12 (0.52)^12 (0.48)^8= 0.138751

P (x= 13) = 20c13 (0.52)^13 (0.48)^7= 0.0925

P (x= 14) = 20c14 (0.52)^14 (0.48)^6= 0.0501

P (x= 15) = 20c15 (0.52)^15 (0.48)^5= 0.0217

P (x= 16) = 20c16 (0.52)^16 (0.48)^4= 0.00735

P (x= 17) = 20c17 (0.52)^17 (0.48)^3= 0.00187

P (x= 18) = 20c18 (0.52)^18 (0.48)^2= 0.000259

P (x= 19) = 20c19 (0.52)^19 (0.48)^1= 0.0000385

P (x= 20) = 20c20 (0.52)^20 (0.48)^0= 0.000000208

Answer:

the simplest form of 1/9 is: 1/9

Step-by-step explanation:

1. A number that will divide evenly into both the numerator and denominator so it can be reduced. No such number exists for 1 and 9.

2. The numerator must be greater than the denominator, an improper fraction, so it can be converted to a mixed number. 1 is not greater than 9.

Answer:

do you have the graph?

Step-by-step explanation:

Answer:

a) 0.30567

b) 0.69433

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

,a.Find the probability that the student earned between 80 and 90 points.

For 80 students

z = 80 - 78/10

= 0.2

P-value from Z-Table:

P(x = 80) = 0.57926

For 90 students

z = 90 - 78/10

= 1.2

P-value from Z-Table:

P(x = 90) = 0.88493

The probability that the student earned between 80 and 90 points.

P(x = 90) - P(x = 80)

= 0.88493 - 0.57926

= 0.30567

b.Find the probability that the student earned either less than 80 points or more than 90 points.

For less than80 students

z = 80 - 78/10

= 0.2

P-value from Z-Table:

P(x < 80) = 0.57926

For 90 students

z = 90 - 78/10

= 1.2

P-value from Z-Table:

P(x<90) = 0.88493

P(x>90) = 1 - P(x<90) = 0.11507

The probability that the student earned either less than 80 points or more than 90 points.

= 0.57926 + 0.11507

= 0.69433

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Variable cost = $20

Fixed cost = $30000

selling price = $49

Number of CD's produced = x

Cost (C) as a function of number of CD's produced :

Fixed cost + (variable cost * Number produced)

C = $30000 + ($20 * x)

C = $30000 + 20x

Revenue :

Selling price per CD * number of CDs produced

$49 * x

R = 49x

PROFIT:

REVENUE - COST

$30000 + 20x - 49x

30000 - 29x

Number of CD's which must be produced to break even:

Break even quantity = Fixed costs / (Sales price per unit – Variable cost per unit)

Break even quantity = 30000 / (49 - 20)

= 30000 / 29

= 1034.48

= 1034

Answer:

I never learned that sorry ‍♀️

Answer:

yes it does

Step-by-step explanation:

the x numbers do not repeat

Yes, the given relation is function.

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

set of ordered pairs= {(0,4),(2,6),(4,2), (6,2), (8,6)}

As, we know that the function has one input with corresponding one output.

So, we can see from the ordered pair that no input value have repeated and have respective output.

Hence, the relation is function.

Learn more about function here:

https://brainly.com/question/23712366

#SPJ2

Answer:

68.6433≤x≤82.3568

Explanation

confidence interval formula is expressed as

CI = xbar ± z × S/√n

xbar is the mean

z is the z score at 90% = 1.645

s is the Standard deviation

N is the sample size = 5

xbar = 60+75+80+70+ 90/5

xbar = 375/5

xbar = 75

Get standard deviation

SD =√\sum(x-xbar)²/N

SD = √(60-75)²+(75-75)²+(80-75)²+(70-75)²+(90-75)²/5

SD = √15²+0²+5²+5²+15²/5

SD = √225+50+225/5

SD = √500/5

SD =√100

SD = 10

Substitute the derived values into the formula

CI = 75±1.645 × 10/√5

CI = 75 ± (1.645×4.4721)

CI = 75±7.3568

CI = (75-7.3568, 75+7.3568)

CI = (67.6433, 82.3568)

Hence the 90% confidence interval of the student is:

68.6433≤x≤82.3568

Answer:

[tex]y=15e^{e^{- \frac{t}{100}}}kg[/tex]

Step-by-step explanation:

Let y(t) represent the amount of salt in the tank after t minutes. Therefore:

[tex]\frac{dy}{dt}=rate\ in-rate\ out[/tex]

Pure water is entering at a rate of 10 L/min, therefore rate in = 0

The tank contains 1000 L of brine (salt water) with 15 kg of dissolved salt, and a mixed solution leaving at 10 L/min hence;

[tex]rate\ out = \frac{y(t)\ kg}{1000\ L}*10\ L/min= \frac{y(t)\ kg}{100\ min}\\\\Therefore:\\\\\frac{dy}{dt}=0- \frac{y(t)}{100} \\\\\frac{dy}{dt}=- \frac{y(t)}{100}\\\\\frac{dy}{y}=- \frac{1}{100}dt\\\\\int\limits{\frac{dy}{y}} =\int\limits- \frac{1}{100}dt\\\\lny=- \frac{t}{100}+C\\\\Taking\ exponetial\ of\ both\ sides:\\\\y=e^{- \frac{t}{100}+C}\\\\y=e^C.e^{- \frac{t}{100}}\\\\y=Ae^{- \frac{t}{100}}(A=e^C)\\\\at\ y=15kg, t=0\\\\15=Ae^{e^{- \frac{0}{100}}}\\\\A=15\\\\[/tex]

[tex]y=15e^{e^{- \frac{t}{100}}}kg[/tex]

The first question shows how the value of x is bigger than the value of -3 while the second question shows how the value of x is smaller than the value of -3.

Hope this helps!

Answer:

The interest rates implied by the combinations of present and future values are:

Present Value   Years   Future Value   Interest Rate

$310                     12             496                 3.994%

 138                      5              194                 7.049%

210                      8              210                  -0.000%

Step-by-step explanation:

a) Data and Calculations:

Present Value   Years   Future Value    Interest Rate

$310                     12             496                 3.994  %

 138                      5              194                  7.049%

210                      8              210                  -0.000%

b) You will need an annual return rate of 3.994% to reach the future value of $496.00.

FV (Future Value) $496.00

PV (Present Value) $310.00

N (Number of Periods) 12.000

I/Y (Interest Rate) 3.994%

PMT (Periodic Payment) $0.00

Starting Investment $310.00

Total Principal $310.00

Total Interest $186.00

c) You will need an annual return rate of 7.049% to reach the future value of $194.00.

FV (Future Value) $194.00

PV (Present Value) $138.00

N (Number of Periods) 5.000

I/Y (Interest Rate) 7.049%

PMT (Periodic Payment) $0.00

Starting Investment $138.00

Total Principal $138.00

Total Interest $56.00

d) You will need an annual return rate of -0.000% to reach the future value of $210.00.

FV (Future Value) $210.00

PV (Present Value) $210.00

N (Number of Periods) 8.000

I/Y (Interest Rate) -0.000%

PMT (Periodic Payment) $0.00

Starting Investment $210.00

Total Principal $210.00

Total Interest $-0.00