Solve the following proportion for x. x/13= 5/17 round your answer to the nearest tenth. x=

(a) Randomized experiment, (b) There are three criteria for a randomized experiment

a) This is a randomized experiment.

b) The three criteria for a randomized experiment are:

Random assignment, the children were randomly assigned to the xylitol or placebo group.

Control group, a placebo group was used as a control.

Manipulation, the children were given different forms and doses of xylitol or placebo.

c) The explanatory variable is the form and dose of xylitol or placebo given to the children. The response variable is the incidence of ear infections.

d) Diagram of the randomized comparative experiment:

Population of healthy children in daycare centers

↓

Random assignment to xylitol or placebo group

↓

Intervention group: given xylitol in syrup, gum or lozenge form

Control group: given a placebo in gum, syrup or lozenge form

↓

Comparison of incidence of ear infections in intervention and control groups

↓

Analysis of results to determine the effectiveness of xylitol in reducing ear infections.

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the difference of elevation between a and b.Let AB = x, tan 36 = x/111.356 ,x = 111.356 tan 36= 64.39 m and Difference in elevation = 64.39m

We are given that two ridges B and C form a valley with a point A at the bottom part with an elevation difference of 111.356m between the ridges and and angle of elevation of 36 degrees at point A. To find the difference of elevation between A and B, we use the formula of tangent which is tan θ = Opposite/Adjacent. We substitute the values and solve for x, which is the elevation difference between A and B. So the difference in elevation between A and B is 64.39m.

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Answer:

44%

Step-by-step explanation:

Step-by-step explanation:

9000(1+0.04/12)^(8*12)

9000(1.0033333)^96

9000(1.3763)

A=12,387.56

Answer:

d 700.

Step-by-step explanation:

69x9 = 621

out of all the options 700 is the closest to the value 621. others are way off from the value 621

Answer:

4vwg5 htdc7vagvt4#=3#!3$:\&,=4/&&&;,;;;;;;;::£::::;&;;

Answer:

1

Step-by-step explanation:

1111111

4 is the answer

Step-by-step explanation:

You will first expand the bracket that will be

2u +6u-30=2

grouping of like terms

2u+6u =2+30

8u =32

dividing both sides by the coefficient u

u =4

Answer:

y=-2/3x+3

Step-by-step explanation:

the equation of line J is y=3/2x-5

perpendicular slope would be -2/3

you want it at point (6, -1) so sub the points into y=-2/3x+b

-1=-2/3(6)+b

-1=-4+b

3=b

y=-2/3x+3

y = 1/2x + 1 is the line's equation in slope-intercept form.

The equation of a line in slope intercept form is expressed as y = mx + b where:

m is the slope

b is the y-intercept

Given the following coordinate points (4, 3) and (0, 1), the slope is calculated as:

Slope = 1-3/0-4
Slope = -2/-4
Slope = 1/2

For the y-intercept, it is the point where the x-coordinate is zero, hence the y-intercept if (0, 1)

Determine the required equation
y = mx + b

y = 1/2x + 1

Hence the equation of the line in slope-intercept form is y = 1/2x +1

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9514 1404 393

Answer:

  (c)  P(x) = x^4 +3x^3 -10x^2 -30x

Step-by-step explanation:

If the polynomial has integer coefficients, its complex or radical roots come in conjugate pairs. That is, -√10 is also a root. The four roots mean the polynomial has degree 4. That eliminates all but answer choice C.

Each root 'a' gives rise to a factor (x -a), so the factored polynomial is ...

  P(x) = (x -0)(x -(-3))(x -√10)(x -(-√10))

  P(x) = x(x +3)(x² -10) = x(x³ +3x² -10x -10)

  P(x) = x^4 +3x^3 -10x^2 -10x

Answer:

The answer to this question is 17.5 hours due to dividing

Step-by-step explanation:

35÷2=17.5

Answer:

Step-by-step explanation:

Let's say our variable for the missing number is x

Four times a number minus 5 would be written as 4x-5

Three times the number plus nine would be written as  3x+9

So the equation would be written as \(4x-5=3x+9\)

To solve we add 5 to both sides

\(4x-5=3x+9\\+5=+5\)    

\(4x=3x+14\)

Now we subtract 3x from both sides

\(4x=3x+14\\-3x=-3x\)

\(x=14\)

To simplify \(5+ (7 - 2) +62 = 0\) we first get rid of the parentheses and rewrite the expression as \(5+7-2+62=0\)

You first add 5 + 7 = 12

Then subtract 12 - 2 = 10

Then add 10 + 62 = 72

So 72 = 0 which is false meaning there is no solution

At x = 0 and x = 7, the function g(x) is undefined.

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 of the function is,

⇒ g (x) = 6 / x (x - 7)

Now, We know that;

The function f(x) = a(x) /b (x) is not defined at b (x) ≠ 0

Here, The expression of the function is,

⇒ g (x) = 6 / x (x - 7)

So, Function g (x) is not defined when,

x (x - 7) = 0

⇒ x = 0

or, x - 7 = 0

⇒ x = 7

Thus, At x = 0 and x = 7, the function g(x) is undefined.

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Answer:

\(\frac{7}{9} = 0.777777 ..\)

\(\frac{1}{3} = 0.33333..\)

Step-by-step explanation:

Explanation:-

Non -terminating decimals are the one that does have an end term. it has infinite number of terms

Example :-

\(\frac{7}{9} = 0.777777 ..\)

\(\frac{1}{3} = 0.33333..\)

Answer:

8

Step-by-step explanation:

bResponses

y = 8

y, = 8

y = 3

y, = 3

y=−3

Answer:

A'=(5/2,-5/2)

therefore A'(2.5,-2.5)

Step-by-step explanation:

From the data given, we estimate the population mean and population standard deviation. Then, we use this estimate to find a 95% confidence interval for the population variance and the population standard deviation.

Sample:

Salaries in millions of dollars: 2.2, 1.5, 0.5, 1.3, 2.4, 1.5, 2.7, 0.3, 2.0, 0.3

Question a:

The mean is the sum of all values divided by the number of values. So

\(\overline{x} = \frac{2.2 + 1.5 + 0.5 + 1.3 + 2.4 + 1.5 + 2.7 + 0.3 + 2.0 + 0.3}{10} = 1.42\)

The sample mean salary is of 1.42 million.

Question b:

The standard deviation is the square root of the difference squared between each value and the mean, divided by one less than the number of values.

So

\(s = \sqrt{\frac{(2.2-1.42)^2 + (1.5-1.42)^2 + (0.5-1.42)^2 + (1.3-1.42)^2 + (2.4-1.42)^2 + (1.5-1.42)^2 + (2.7-1.42)^2 + ...}{9}} = 0.8772\)

Thus, the estimate for the population standard deviation is of 0.8772 million.

Question c:

The sample size is \(n = 10\)

The significance level is \(\alpha = 1 - 0.05 = 0.95\)

The estimate, which is the sample standard deviation, is of \(s = 0.8772\).

Now, we have to find the critical values for the Pearson distribution. They are:

\(\chi^2_{\frac{\alpha}{2},n-1} = \chi^2_{0.025,9} = 19.0228\)

\(\chi^2_{1-\frac{\alpha}{2},n-1} = \chi^2_{0.975,9} = 2.7004\)

The confidence interval for the population variance is:

\(\frac{(n-1)s^2}{\chi^2_{\frac{\alpha}{2},n-1}} < \sigma^2 < \frac{(n-1)s^2}{\chi^2_{1-\frac{\alpha}{2},n-1}}\)

\(\frac{9*0.8772^2}{19.0228} < \sigma^2 < \frac{9*0.8772^2}{2.7004}\)

\(0.3641 < \sigma^2 < 2.5646\)

Thus, the 95% confidence interval for the population variance is (0.3641, 2.5646)

Question d:

Standard deviation is the square root of variance, so:

\(\sqrt{0.3641} = 0.6034\)

\(\sqrt{2.5646} = 1.6014\)

The 95% confidence interval for the population standard deviation is (0.6034, 1.6014).

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Answer:

Jenn's account

Step-by-step explanation:

Given that:

LINDSAY'S ACCOUNT :

Principal = amount deposited = $250

Final Amount after 1 year = $253

Period (t) = 1 year

JENN'S ACCOUNT :

Principal = amount deposited = $250

Final Amount after 2 years = $257.50

Period (t) = 2 year

Using the relation :

A = P(1 + rt)

A = final amount ; r = interest rate ; t = time

Lindsay :

253 = 250(1 + r(1))

253 = 250 + 250r

253 - 250 = 250r

3 = 250r

r = 3/250

r = 0.012 ; (0.012 * 100) = 1.2%

Jenn:

257.50 = 250(1 + r(2))

257.50 = 250 + 500r

257.50 - 250 = 500r

7.50 = 500r

r = 7.50/500

r = 0.015 ; (0.015 * 100) = 1.5%

Hence, JENN'S deposit has the greater interest rate. (1.5 > 1.2)%

Answer:Sample response:Lindsay’s interest is $3 for one year. Using the formula for interest, I = prt, Lindsey’s money is earning at a rate of 1.2%. Jenn has earned $3.75 for one year. Her money is earning at a rate of 1.5%, which is a higher interest rate.

Step-by-step explanation: please make me brainliest

Answer:

sin a = cos C

sin C = AB/AC

tan a = BC/AB

Answer:

answer is b.

Step-by-step explanation: use formula

V=1/3(hπr²)

so using this formula gives us 1275.62897 but rounded off gives us 1,275.63 ft3

After reading quote from chapters 1-3 of Treasure Island.

"He cleared the hilt of his cutlass and loosened the blade in the sheath; and all the time we were waiting there he kept swallowing as if he felt what we used to call a lump in the throat."

Based on the actions described in the quote, Black Dog is feeling fear. Hence option B is correct answer.

Clearing the hilt of his cutlass and loosening the blade in the sheath are actions typically taken when one is preparing for potential danger or conflict.

Therefore, based on the above, the fact that Black Dog is swallowing as if he has a lump in his throat is another indication that he is feeling fear or nervousness.

Correct option is: B

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So on solving the provided question we can say that - Area of prism,

Area, A = 2(wl+hl+hw) = 180 sq units

The definition of a prism in geometry is a polyhedron with an n-sided polygonal base, a second base that is a shifted copy of the first base, and n additional faces (necessarily all parallelograms), with two Connect the corresponding sides of the base. Translations of the base are all cross sections that are parallel to it. A prism is a two-sided, solid, three-dimensional object. It consists of equal cross-sections, flat sides, and identical bases. A prism has faces that are parallelograms or rectangles without bases. A prism is a homogenous, solid, transparent, refracting object enclosed by two planes that are obliquely angled to one another. Two triangular faces and three parallel rectangular faces make up a typical prism. They are constructed of either glass.

Area, A = 2(wl+hl+hw)

A = 2(20 + 40 + 30)

A = 2(90)

A = 180sq units

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The question is incomplete. The complete question is :

The fuel efficiency for a new helicopter engine is given by the continuous function r(c) where r is measured in gallons per mile and c is measured in miles. What are the units of \($\int_0^7 r(c) \ dc$\)   ?

Solution :

The given continuous function is :

r(c), here c is measured in miles and the unit of r is measured in gallons per mile.

So the unit of  \($\int_0^7 r(c) \ dc$\) is given by :

= gallons per mile x mile

= gallons

So, the final unit is gallons.

Answer:

2/5 or 0.4

Step-by-step explanation:

convert -14/5 / (-7)

divide 14/5 / 7  ( two negatives equal a positive)

equals 2/5 or 0.4 in decimal

a. It represents the spread of the middle 50% of the data.

b. At least 50% of the students scored between 80 and 86.

c. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.

How evenly distributed the middle 50% of the data is is determined by the interquartile range. In order to calculate it, the first quartile is subtracted from the third quartile.

A. The interquartile range (IQR) in a box-and-whisker plot is the distance between the first quartile (Q1) and the third quartile (Q3) of the data. It represents the spread of the middle 50% of the data.

B. To determine what percent of the students got 80% or higher, we need to find the upper fence, which is defined as 1.5 times the IQR above Q3. From the box-and-whisker plot, we can see that Q3 is approximately 86 and Q1 is approximately 71. Therefore, the IQR is 86 - 71 = 15. The upper fence is 1.5 * 15 + 86 = 108.5.

Looking at the plot, we can see that there are no data points above 100, so we can safely assume that no students scored above 100%. The highest score is 94, which is within the whiskers of the box-and-whisker plot. Therefore, we know that the percent of students who scored 80% or higher is between the percent of students who scored 80% or higher and the percent of students who scored 94% or higher.

From the plot, we can see that the median is approximately 80 and the third quartile (Q3) is approximately 86. This means that at least 50% of the students scored between 80 and 86. Additionally, we know that the maximum score is 94, so we can say that at least some students scored higher than 86. However, we don't know how many students scored between 86 and 94.

C. Based on the interquartile range, we can say that the middle 50% of the students scored between approximately 71 and 86. This suggests that there is a significant amount of variability in the test scores, as the range is quite wide. Additionally, we know that at least some students scored above 86, but we don't have enough information to determine how many or how high their scores were. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.

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Answer:

I think it 31

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

3+1=4

4+2=6

6+3=9

9+4=13

13+5=18

18+6=24

24+7=31

you start with one 3+1=4but everytime you add you add an extra 1

Answer:

∠ MON = 51°

Step-by-step explanation:

∠ LON is composed of the 2 angles LOM and MON , that is

∠ LOM + ∠ MON = ∠ LON

42° + ∠ MON = 93° ( subtract 42° from both sides )

∠ MON = 51°

Answer:

<MON= 51°

Step-by-step explanation:

Look at the diagram and locate LON. You can see that LON is the angle of the complete line. Now LOM is given which is the angle of a part of the lines. So that means that to find MON we can minus LON with LOM.

<MON= <LON - <LOM

= 93-42

<MON= 51°

Feel free to ask any doubt you have!

b = speed of the boat in still water

c = speed of the current

when going Upstream, the boat is not really going "b" fast, is really going slower, is going "b - c", because the current is subtracting speed from it, likewise, when going Downstream the boat is not going "b" fast, is really going faster, is going "b + c", because the current is adding its speed to it.

Now, the boat goes Upstream 48 miles, so Downstream must be travelling the same 48 miles back.

\({\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&48&b-c&3\\ Downstream&48&b+c&2 \end{array}\hspace{5em} \begin{cases} 48=(b-c)(3)\\\\ 48=(b+c)(2) \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{using the 1st equation}}{48=(b-c)3}\implies \cfrac{48}{3}=b-c\implies 16=b-c\implies \boxed{16+c=b} \\\\\\ \stackrel{\textit{using the 2nd equation}}{48=(b+c)2}\implies \cfrac{48}{2}=b+c\implies 24=b+c\implies \stackrel{\textit{substituting}}{24=(16+c)+c} \\\\\\ 24=16+2c\implies 8=2c\implies \cfrac{8}{4}=c\implies \boxed{2=c}~\hfill~\stackrel{ 16~~ + ~~2 }{\boxed{b=18}}\)