Please answer this correctly

Answer:

367.75

Step-by-step explanation:

21+23.3+323.45

Add the three terms.

= 367.75

The sum of theses numbers is 367.75.

Answer:

[tex]= 367.75 \\ [/tex]

Step-by-step explanation:

[tex] \: \: \: \: \: \: \: \: \: 21 \\ + \: \: \: \: 23.3 \\ = \: \: 44.3 \\ + 323.45 \\ = 367.75[/tex]

Answer:

[tex] \mu -\sigma = 1200-75 = 1125[/tex]

[tex] \mu +\sigma = 1200+75 = 1275[/tex]

It can be concluded that approximately 68% of the bulbs will last between:1125 and 1275 hours

Step-by-step explanation:

For this case we know that the random variable X "iife of a particular brand of light bulb " and we know the following distribution:

[tex] X \sim N(\mu = 1200, \sigma =75)[/tex]

And we can use the empirical rule for this case and we know that 68% of the values are within one deviation from the mean and we can find the limits like this:

[tex] \mu -\sigma = 1200-75 = 1125[/tex]

[tex] \mu +\sigma = 1200+75 = 1275[/tex]

It can be concluded that approximately 68% of the bulbs will last between:1125 and 1275 hours

Answer: 41 candles

Step-by-step explanation:

Multiply the dimensions of the candle first.

V = l*w*h

7 * 2 = 14

14 * 10 = 140

Now, divide the total amount of wax used by the amount of wax used for one candle.

5,740 / 140 = 41

Answer:

The answer is given below

Step-by-step explanation:

1) Find the possible ones place digit in the square root of the following

a) 2039184

The number 2039184 ends with 4, therefore the square root of the number can either end in 2 or 8

2² = 4, √4 = 2

8² = 64, √64 = 8

b) 10,004,569

The number 10,004,569 ends with 9, therefore the square root is the number will end in 3

3² = 9, √9 = 3

2) How many natural numbers lie between the squares of 41 and 42

42² = 1764 and 41² = 1681

Therefore the numbers that lie between 1764 and 1681 = (1764 - 1681) - 1 = 83 - 1 = 82

3) What will be the value of ‘ x’ in Pythagorean triplet (41, 9, x)

Pythagorean consist of three positive numbers a, b, c such that a² + b² = c². Therefore: x² + 9² = 41²

x² = 41² - 9² = 1681 - 81

x² = 1600

x = √1600 = 40

4) Check whether 15028 is a perfect square

15028 = 2 × 2 × 13 × 17 × 17

15028 = 2² × 13 × 17²

It is not a perfect square. If it is divided by 13 it becomes a perfect square, that is:

15028/13 = 2² × 17²

15028/13 = (2 × 17)² = 34²

34² = 15028/13

34² = 1156

The square root of the new number formed is 34 (i.e √1156)

5) A gardener has 5190 plants. He wants to plant in such a way that the number of rows and columns remains the same.

let the number if rows be x. Since the rows and columns are the same, the number of columns = x.

x² = 5190

x = √5190 = 72² + 6.

Therefore at least six plant would be left out

Answer:

a) [tex]t = 1\,s[/tex], [tex]\dot A \approx 22619.467\,\frac{cm^{2}}{s}[/tex], b) [tex]t = 3\,s[/tex], [tex]\dot A \approx 67858.401\,\frac{cm^{2}}{s}[/tex], c) [tex]t = 5\,s[/tex], [tex]\dot A \approx 113097.336\,\frac{cm^{2}}{s}[/tex]. The rate at which the area within the circle is increasing linearly inasmuch as time passes by.

Step-by-step explanation:

The area of a circle is described by the following formula:

[tex]A = \pi \cdot r^{2}[/tex]

Where:

[tex]A[/tex] - Area, measured in square centimeters.

[tex]r[/tex] - Radius, measured in centimeters.

Since circular ripple is travelling outward at constant speed, radius can be described by the following equation of motion:

[tex]r (t) = \dot r \cdot t[/tex]

Where:

[tex]\dot r[/tex] - Speed of the circular ripple, measured in centimeters per second.

[tex]t[/tex] - Time, measured in seconds.

The rate of change of the circle is determined by deriving the equation of area and replacing radius with the function in terms of the speed of the circular ripple and time. That is to say:

[tex]\dot A = 2\cdot \pi \cdot r \cdot \dot r[/tex]

[tex]\dot A = 2 \cdot \pi \cdot \dot r^{2}\cdot t[/tex]

Where:

[tex]\dot A[/tex] - Rate of change of the circular area, measured in square centimeters per second.

[tex]\dot r[/tex] - Speed of the circular ripple, measured in centimeters per second.

[tex]t[/tex] - Time, measured in seconds.

If [tex]\dot r = 60\,\frac{cm}{s}[/tex], then:

a) [tex]t = 1\,s[/tex]

[tex]\dot A = 2\cdot \pi \cdot \left(60\,\frac{cm}{s} \right)^{2}\cdot (1\,s)[/tex]

[tex]\dot A \approx 22619.467\,\frac{cm^{2}}{s}[/tex]

b) [tex]t = 3\,s[/tex]

[tex]\dot A = 2\cdot \pi \cdot \left(60\,\frac{cm}{s} \right)^{2}\cdot (3\,s)[/tex]

[tex]\dot A \approx 67858.401\,\frac{cm^{2}}{s}[/tex]

c) [tex]t = 5\,s[/tex]

[tex]\dot A = 2\cdot \pi \cdot \left(60\,\frac{cm}{s} \right)^{2}\cdot (5\,s)[/tex]

[tex]\dot A \approx 113097.336\,\frac{cm^{2}}{s}[/tex]

The rate at which the area within the circle is increasing linearly inasmuch as time passes by.

Answer:

a = T - 4

Step-by-step explanation:

Simply just subtract 4 on both sides to get the answer!

Answer:

a=T-4

Step-by-step explanation:

subtract 4

Answer:

y (t) = 19 + 76*e^(-(1/51)*t)

Step-by-step explanation:

We have the following differential equation model:

dy / dt = - (1/51) * (y -19)

The initial conditions are: y (0) = 95 and y '(70) = 1

We solve the differential equation, separating variables:

1 / (and -19) * dy = - (1/51) * dt

we integrate on both sides:

ln (y -19) = - (1/51) * t + C

e ^ ln (y -19) = e ^ (- (1/51) * t + C)

y - 19 = C1 * e ^ (- (1/51) * t)

y = 19 + C1 * e ^ (- (1/51) * t)

replacing, and (0) = 95

95 = 19 + C1 * e ^ (- (1/51) * 0)

95 = 19 + C1 * e ^ 0

95 = 19 + C1

C1 = 95 - 19 = 76

Therefore the equation would be:

y (t) = 19 + 76 * e ^ (- (1/51) * t)

Answer:

The probability that at exactly one of them does exactly two language classes is 0.32.

Step-by-step explanation:

We can model this variable as a binomial random variable with sample size n=2.

The probability of success, meaning the probability that a student is in exactly two language classes can be calculated as the division between the number of students that are taking exactly two classes and the total number of students.

The number of students that are taking exactly two classes is equal to the sum of the number of students that are taking two classes, minus the number of students that are taking the three classes:

[tex]N_2=F\&S+S\&G+F\&G-F\&S\&G=12+4+6-2=20[/tex]

Then, the probabilty of success p is:

[tex]p=20/100=0.2[/tex]

The probability that k students are in exactly two classes can be calcualted as:

[tex]P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{2}{k} 0.2^{k} 0.8^{2-k}\\\\\\[/tex]

Then, the probability that at exactly one of them does exactly two language classes is:

[tex]P(x=1) = \dbinom{2}{1} p^{1}(1-p)^{1}=2*0.2*0.8=0.32\\\\\\[/tex]

Answer:

Step-by-step explanation:

Let the distribution law followed is exponential law .

mean m = np where n = 15 , p = .2

m = 15 x .2 = 3

probability of 5 successes

= [tex]\frac{e^{-m}m^r}{r!}[/tex]

= [tex]\frac{e^{-3}3^5}{5!}[/tex]

= .1

Participation bias may be present in the claim below.

Bias, in statistics, means a systematic error or deviation in the estimation or inference process that continuously skews the conclusions in a particular direction. It represents a disturbance between the expected value of an estimator or statistic and the true value of the population parameter being estimated.

There is clearly a bias because the total of the percentages, i.e., 77 + 43 + 39 + 27 + 26 equals 212 which is a totally wrong way to represent data. The claims don't resemble correct information and hence, are biased. The bias would affect a reader's view of the claim because the percentages do not add up to 100[tex]\%[/tex].

Hence, it is concluded that the participation bias is present here.

Learn more about Bias here:

https://brainly.com/question/30138710

#SPJ4

Answer:

a. p=0.562

b. E = 0.0253

c. The 90% confidence interval for the population proportion is (0.537, 0.587).

d. We have 90% confidence that the interval (0.537, 0.587) contains the true value of the population proportion.

Step-by-step explanation:

We have to calculate a 90% confidence interval for the proportion.

The sample proportion is p=0.562.

[tex]p=X/n=583/1038=0.562[/tex]

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.562*0.438}{1038}}\\\\\\ \sigma_p=\sqrt{0.000237}=0.0154[/tex]

The critical z-value for a 90% confidence interval is z=1.645.

The margin of error (MOE) can be calculated as:

[tex]MOE=z\cdot \sigma_p=1.645 \cdot 0.0154=0.0253[/tex]

Then, the lower and upper bounds of the confidence interval are:

[tex]LL=p-z \cdot \sigma_p = 0.562-0.0253=0.537\\\\UL=p+z \cdot \sigma_p = 0.562+0.0253=0.587[/tex]

The 90% confidence interval for the population proportion is (0.537, 0.587).

We have 90% confidence that the interval contains the true value of the population proportion.

Answer:

see below

Step-by-step explanation:

You can remove one or more of the other color marbles to increase the probability of drawing a green marble

or

You can add  one or more green marbles to have more green marbles in the bag

Step-by-step explanation:

can u give image PlZzzzz ....

Answer:

Hey!

Your answer should be Y=2x+4

Step-by-step explanation:

Hope this helps!

Answer:

Check below for the answers and explanations to the questions.

Step-by-step explanation:

a) The explanatory variable is "the neighborhood" because it is the one that can be controlled/varied by the experimenter and also determines the outcome of the experiment.

The response variable is the "academic performance of the children" since it is the outcome of the experiment.

b) The subjects of the study are the children of the 1000 families that were given federal housing vouchers to relocate.

The factors of the study are:

1. the low income neighborhood

2. the federal housing estate

Treatment is the combination of various levels of the factor. In this case, it is the neighborhood of the families.

c) No significant difference means that the mean of the academic performance of the children while living the low-income neighborhood equals the mean of their academic performance while living in the federal housing estate. Which means that the null hypothesis is accepted.

d) The period of evaluation after relocation is very small compared to the time that has been spent in the low-income neighborhood. The observation has to take a longer time to discover the effect of the new neighbourhood on the academic performance of the children. Therefore the lack of improvement in academic performance after one year does not necessarily mean that neighborhood does not have effect on academic performance.

e) some other variables that are not considered in this study are:

The average Intelligence Quotient of the children

The parental training

The schools attended by the children

Average number of hours spent on study

Answer:

a) The volume of the wooden block is 240 cm^3.

b) The density of the wooden block is 0.7 g/cm^3.

Step-by-step explanation:

The volume of the rectangular wooden block can be calculated as the multiplication of the length in each dimension: length, wide and height.

With dimensions 10 cm x 3 cm x 8 cm, the volume is:

[tex]V=L\cdot W\cdot H = 10\cdot 3\cdot 8=240[/tex]

The volume of the wooden block is 240 cm^3.

If we know that the mass of the wooden block is 168 g, we can calculate the density as:

[tex]\rho = \dfrac{M}{V}=\dfrac{168}{240}=0.7[/tex]

The density of the wooden block is 0.7 g/cm^3.

Answer:

Equation of the axis of symmetry is:   x = 3

Step-by-step explanation:

The equation

[tex]y=2x^2-12x+21[/tex]

is the equation of a parabola, of the form

[tex]y=ax^2+bx+c[/tex]    whose vertex is located at the x-coordinate:

[tex]x_{vertex}=\frac{-b}{2\,a}[/tex]

Then, for our case the x position of the given parabola, is:

[tex]x_{vertex}=\frac{-b}{2\,a} \\x_{vertex}=\frac{12}{2\,(2)} \\x_{vertex}=3[/tex]

Then the equation of the axis of symmetry, which is a vertical line that goes through the vertex, would be given by:

x = 3

Answer:

The answer is A) -9.7 > -18.2

Step-by-step explanation:

This is because, when you are thinking about negative numbers, the closer they are to 0, the greater they are. So, it is warmer in Minnesota.

Answer:

A and A

Step-by-step explanation:

Answer:

Slope = [tex]-\frac{2}{3}[/tex]

Step-by-step explanation:

Slope = [tex]\frac{rise}{run}[/tex]

Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

Slope = [tex]\frac{4-2}{-3-3}[/tex]

Slope = [tex]-\frac{4}{6}[/tex]

Slope = [tex]-\frac{2}{3}[/tex]

Answer:

(a)

[tex]Slope=-\dfrac{1}{3}\\$y-intercept =1[/tex]

(b)

[tex]Slope = \dfrac12\\$y-intercept=$ -1[/tex]

Step-by-step explanation:

Given a line which goes through the points: (0, 1) and (3, 0).

(a)Slope

[tex]m=\dfrac{0-1}{3-0}\\m=-\dfrac{1}{3}[/tex]

The slope-intercept form of the equation of a line is given as: y=mx+b

Therefore:

[tex]y=-\dfrac{1}{3}x+b\\$From the point (0,1), When x=0, y=1; Therefore:$\\1=-\dfrac{1}{3}(0)+b\\$Therefore:\\b=1[/tex]

The y-intercept of the line through points (0, 1) and (3, 0) is 1.

(b)Given the line:

[tex]y=\dfrac12x-1[/tex]

Comparing with the slope-intercept form of the equation of a line: y=mx+b

[tex]Slope = \dfrac12\\$y-intercept=$ -1[/tex]

Answer:

Identify the slope of the graphed line:

✔ -1/3

Identify the y-intercept of the graphed line:

✔ 1

Identify the slope of the line given by the equation:

✔ 1/2

Identify the y-intercept of the line given by the equation:

✔ -1

Step-by-step explanation:

Got it right on edge. 2020

:)) hope I helped.

Answer:

y = 1/4X + 1/2

Step-by-step explanation:

the formula of a line is y = aX + b

a = the slope, so a = 1/4. you get the following:

y = 1/4X + b

to find b we need to fill in the coordinates:

1/2 = 1/4 • 0 + b

b = 1/2

so the answer is:

y = 1/4X + 1/2

Answer:

Option B

Step-by-step explanation:

The number that had never been married will vary in each sample due to the random selection of adults.

This number will vary in each sample to the random selection process but they might or might not be as close as possible to one another after sampling.

[tex]y-7<2x-6[/tex]

[tex](0)-7<2(0)-6[/tex]

[tex]0-7<0-6[/tex]

[tex]-7<-6[/tex]

-7 is lesser than -6.

Answer: D

Step-by-step explanation:

positive and a negative will equal 0

those two inequalities are on opposite sides

Answer:

n=9 [tex] \sum x = 530, \sum y = 243, \sum xy = 14615, \sum x^2 =32656, \sum y^2 =8245[/tex]  

And replacing the info we got:

[tex]r=\frac{9(14615)-(530)(243)}{\sqrt{[9(32656) -(530)^2][9(8245) -(243)^2]}}=0.1955[/tex]  

So then the correlation coefficient would be r =0.1955

Step-by-step explanation:

Data given

Temperature (x) 62 76 50 51 71 46 51 44 79

Growth (y) 36 39 50 13 33 33 17 6 16

Solution

The correlation formula is given by:

[tex]r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}[/tex]  

For our case we have the following sums:  

n=9 [tex] \sum x = 530, \sum y = 243, \sum xy = 14615, \sum x^2 =32656, \sum y^2 =8245[/tex]  

And replacing the info we got:

[tex]r=\frac{9(14615)-(530)(243)}{\sqrt{[9(32656) -(530)^2][9(8245) -(243)^2]}}=0.1955[/tex]  

So then the correlation coefficient would be r =0.1955

Answer:

t = 0

Before it starts rushing that's when it will be fastest

Step-by-step explanation:

For the water ib the tank to flow very fast it means that there is a big volume of water present.

And for volume of water to be present that much it means that the water must

have not leaked much or at all.

And for that it signifies large volume of water.

If we do the calculation we'd see that time will be actually equal to zero for the pressure and the volume of the water to be biggest.

V = 4500 (1 − 1 /50 t )^2

V = 4500

4500 = 4500(1- 1/50t)²

1 = 1- 1/50t

0 = -1/50t

t = 0

Answer: 267.9

Step-by-step explanation:

Since we are given the radius, we can plug it into the equation given.

[tex]V=\frac{4}{3} \pi (4)^3[/tex]

[tex]V=\frac{4}{3} \pi (64)[/tex]

[tex]V=267.9[/tex]

Answer:

m∠AOC= 120°

, m∠BOD = 130°

m∠COE = 110°

m∠COD.= 60°

Step-by-step explanation:

Let's note that

AOF = COD= 60°

BOC = FOE= 70°

AOB = DOE= 50°

Given: m∠AOB=50°, m∠FOE=70°. m∠AOC

, m∠BOD,

m∠COE

m∠COD. = AOF = (360-(2(70)+2(50)))/2

AOF = (360-240)/2

AOF = 120/2

AOF = 60°= COD

COE = COD+DOE= 60+50= 110°

BOD = BOC + COD = 70+60= 130°

AOC = AOB + BOC = 50+70 = 120°

Answer:

[tex]\boxed{\df\ \dfrac{-19}{2}}[/tex]

Step-by-step explanation:

Hi,

x=-2

it gives

9*(-2)-4y=20

<=> -18-4y=20

<=> 18-18-4y=20+18=38

<=> -4y=38

<=> y = -38/4=-19/2

hope this helps

Answer:

a. 0.4772 = 47.72 %

b. 0.7605 = 76.05 %

Step-by-step explanation:

What we must do is calculate the z value for each value and thus find what percentage each represents and the subtraction would be the percentage between those two values.

We have that z is equal to:

z = (x - m) / (sd)

x is the value to evaluate, m the mean, sd the standard deviation

a. ind the least proportion of data falls between 70 and 80 If the histogram is bell shaped:

So for 70 copies we have:

z = (70 - 70) / (5)

z = 0

and this value represents 0.5

So for 80 copies we have:

z = (80 - 70) / (5)

z = 2

and this value represents 0.9772

p (70 > x > 80) = 0.9772 - 0.5

p (70 > x > 80) = 0.4772 = 47.72 %

b.  Find the proportion of data between 65 and 77

So for 65 copies we have:

z = (65 - 70) / (5)

z = -1

and this value represents 0.1587

So for 77 copies we have:

z = (77 - 70) / (5)

z = 1.4

and this value represents 0.9192

p (65 > x > 77) = 0.9192 - 0.1587

p (65 > x > 77)  = 0.7605 = 76.05 %

Step-by-step explanation:

solve f(x) by supposing it has y and and then interchange it with x .

hope this is helpful

Answer:

30

Step-by-step explanation:

Answer:

It would decrease by 9.

Step-by-step explanation:

52 is the original mean or the initial mean.

43 is the final mean.  

52-43 = 9

So 9 is the difference.

Hope this helped!