15=3(2x+4)-3 prove x=1

Answer:

(a) A cross sectional study (b) The parameter can be computed as follows: Non-drinkers who agree exposed to obesity, Drinkers who are exposed or vulnerable to obesity (c) A postie relationship is established from the experiment between drinkers who are exposed to obesity and non drinkers who are exposed to obesity

Step-by-step explanation:

(a) The type of design is refereed to as a cross sectional study

(b) Now, because 50 men are beer drinkers out of 891 men.

Hence we can deduce form this that  500/891 gives us 0.56%.

This suggest that 0.56% men are beer drinkers out of which 325 have obesity, lets take for example 235/500 = 0.65% are exposed to obesity in which 80/ (89-500) = 80/491 = 0.16%

The non drinkers are 0.16% and are not exposed to obesity

Thus,

The parameters to be calculated is stated below:

(c) The next step is to determine and explain the results.

In this case we can say there is a positive relationship between drinkers and non drinkers, since from the experiment 0.65% are exposed to obesity and 0.16$ non drinkers are exposed to obesity.

Answer:

True.

Step-by-step explanation:

This is the basis for polynomial division/remainder theorem.

Given a polynomial p(x) and a divisor (x - a), if p(a) = 0, then the expression factors in perfectly.

Likewise, if the remainder in p(x)/(x-a) = 0, then the expression factors in perfectly.

I hope this helps!

Answer:

True

Step-by-step explanation:

a p e x

Answer:

7/10=0.7

3+0.7=3.7

3.7

Hope this helps

Step-by-step explanation:

Answer: y= -2/3 + 8/3

Step-by-step explanation:

-2/3  is the slope so you just need the y-intercept to write the equation in general form or slope intercept form

4= -2/3(-2) +b

4 = 4/3  + b

-4/3   -4/3

b=  8/3

general form is   y= -2/3 + 8/3

Answer:

Step-by-step explanation:

Simple regression was employed to establish the effects of childhood exposure to lead. THe effective sample size was about 122 subjects. THe independent variable was the level of dentin lead (parts per million). Below are regressions using various dependent variables.

Calculate the t statistic for each slope, at significance level = 0.01.

Dependent Variable R2 Estimated Std. t calculated p-value Differ from 0?

Slope Error

Highest grade achieved .061 −0.027 0.009 .008 No / Yes

Reading grade equivalent .121 −0.070 0.018 .000 No / Yes

Class standing .039 −0.006 0.003 .048 No / Yes

Absence from school .071 4.8 1.7 .006 No / Yes

Grammatical reasoning .051 0.159 0.062 .012 Yes / No

Vocabulary .108 −0.124 0.032 .000 No / Yes

Hand-eye coordination .043 0.041 0.018 .020 No / Yes

Reaction time .025 11.8 6.66 .080 No / Yes

Minor antisocial behavior .025 −0.639 0.36 .082 Yes / No

B) It would be inappropriate to assume cause and effect without a better understanding of how the study was conducted.

1. No

2. Yes

[tex]t=\frac{\text {estimated slope}}{\text {std error}}[/tex]

a)

Estimated Slope           Std error              t - calculated

-0.027                            0.009                   -3

-0.070                            0.018                    -3.89

-0.006                            0.003                   -2

4.8                                  1.7                         2.82

0.159                              0.062                   2.56

-0.124                             0.032                   -3.87

0.041                              0.018                    2.28

11.8                                6.66                      1.77

-0.639                           0.36                       -1.78

b) Yes, It would be inappropriate to assume cause and effect without a better understanding of how the study was conducted.

Answer:

i hope this will help you

Step-by-step explanation:

-9t²v+3tv²

=-3tv(3t-v)

Answer:

[tex]- 3tv(3t - v) \\ [/tex]

Step-by-step explanation:

[tex] - 9 {t}^{2} v + 3t {v}^{2} \\ = - 3tv(3t - v)[/tex]

hope this helps you

brainliest appreciated

good luck! have a nice day!

Answer:

B

Step-by-step explanation:

The triangular prism must have a larger base than the cylinder

Step-by-step explanation:

-23d + 81 < - 98d + 1

81 - 1 < - 98d + 23d

80 < - 75d

80/ - 75 < d

10/ - 3 < d

Answer:

There is a 3/5 chance of the first ball being white, and a 3/10 chance the second one is black.

Step-by-step explanation:

There are 5 balls, of which 3 are white, so you have a 3/5 chance of the first one being white. Then you have 2 white and 2 black balls. There is a 2/4 chance of picking a black ball. Multiply 3/5 and 2/4 to get 6/20, or 3/10 for choosing a white ball then a black ball.

Answer:

0.0062

Step-by-step explanation:

Find the standard error.

σ = 20 / √100

σ = 2

Find the z-score.

z = (x − μ) / σ

z = (70 − 65) / 2

z = 2.5

Find the probability.

P(Z > 2.5) = 1 − 0.9938

P(Z > 2.5) = 0.0062

Answer:

i think is 30$

Step-by-step explanation:

Answer:

B. $15.00

Step-by-step explanation:

Think about it this way:

3 = 1.50

6 = 3.00

8 = 4.00

12 = 6.00

If you divide each of the first numbers by the second, you'll get 2.

This means that every doughnut costs $0.50.

From there you just multiply .5 by 30

  30

x  .5

15

30 Donuts would cost 15 dollars.

Ok so the above is a little bit more of a complicated way to do it, but it'll be more efficient for a similar, but more difficult problem. The general goal of these problems is to find out what 1 of the item would cost. In this case it's $0.50, but you need to find that out in all of these problems.

brainliest is appreciated.

Answer:

y=-1/4x -1

Step-by-step explanation:

y-y1 = -1/4(x1-x)

y-(-4) = -1/4(x-(-3)

y+4 = -1/4x +3

y=-1/4x-1

The right answer is of option D.

[tex]x \geqslant 4[/tex]

In the given graph, X is greater than 4 and X equals to 4.

Hope it helps.....

Good luck on your assignment

Answer:

1<X<=6

Step-by-step explanation:

seven less than six times her number is between negative one and twenty-nine (inclusive).

The above statement can be expressed mathematically thus;

Let the number be x

6x-7= (-1 ,29]

Hence 6x-7 = -1=>6x=6=>x=1 or

6x-7= 29=>6x=36=>x=6

Hence 1<X<=6

Answer:

Cost = 750,000

Income per year = 5 x 100,000 + 75,000 x 3 = 725,000

Income for 4 years = 4 x 725,000 = 2,900,000

Profit = 2,900,000 - 750,000 = 2,150,000

Step-by-step explanation:

_____________________________

Hey!!

Solution,

X=5

Now,

y=x^2+2x

=(5)^2+2*5

=25+10

= 35

So the value of y is 35

hope it helps

Good luck on your assignment

___________________________

For the given equation  y = x² + 2x, the value of y when x = 5 is, 35

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

An equation, y = x² + 2x

The value of y when x is equal to 5 = ?

after putting value of x in a equation

⇒ y = 5² + 2 × 5

⇒ y = 25 + 10

⇒ y = 35

Hence, the value of y is 35

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Answer:

⬇⬇⬇⬇⬇⬇

⬇⬇⬇⬇⬇⬇

Step-by-step explanation:

1, 3, 4

proof below

(1) The area of the rectangle is 88 square inches

(3) The equation x² – 3x – 88 = 0 can be used to solve for the length of the rectangle.

(4) The triangle has a base of 11 inches and a height of 8 inches.

Area of a rectangle is the sum of the area of two equal right triangle.

Area of rectangle = 2(area of right triangle)

Area of rectangle = 2(44 sq inches) = 88 sq inches

Let the length = x

then the width becomes, x - 3

Area = x(x - 3) = 88

x² - 3x = 88

x² - 3x - 88 = 0

x = 11

width = 11 - 3 = 8

Thus, the statements that are true include;

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Answer:

53.33% probability that one woman and one man will be chosen to be on the committee

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the members are chosen is not important, so we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

What is the probability that one woman and one man will be chosen to be on the committee?

Desired outcomes:

One woman, from a set of 2, and one man, from a set of 4. So

[tex]D = C_{2,1}*C_{4,1} = \frac{2!}{1!1!}*\frac{4!}{1!3!} = 8[/tex]

Total outcomes:

Two members from a set of 2 + 4 = 6. So

[tex]T = C_{6,2} = \frac{6!}{2!4!} = 15[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{8}{15} = 0.5333[/tex]

53.33% probability that one woman and one man will be chosen to be on the committee

Answer: 360ᴼ

Step-by-step explanation:

If a figure goes 360ᴼ around the graph, it will be mapped onto itself.

360ᴼ is full circle (number of degrees in a circle), so the figure just went around in a circle, back into the same location before it rotated.

Answer:

360

Step-by-step explanation:

i took the text

Answer:

12/13 ; 5/13; 12/5

Step-by-step explanation:

sinx =5/13 =opposite/ hypothenus

By Pythagoras rule the hypothenus side can be obtained as

√ 13^2 -5^2 = √169 -25 = √144 = 12

cos x= adjacent/ hypothenus = 12/13

Now Cos2x= Sinx

And Sin2x = Cosx

Hence ;

Sin2x=12/13

Cos2x =5/13

Tan2x= Sin 2x/ Cos 2x

= 12/13 ÷ 5/13

= 12/13 × 13/5 = 12/5

Answer:

3¹²

Step-by-step explanation:

Move 3⁻² to the numerator using the negative exponent rule

1/b-n = bⁿ

(3⁵)² ⋅ 3²

Multiply the exponents

3¹⁰ · 3²

Multiply by adding the exponents

3¹⁰⋅ 3²

3¹²

Answer:

[tex]\frac{8342}{10000} \\ [/tex]

Answer C is correct

Step-by-step explanation:

[tex]0.8342 = \frac{8342}{10000} [/tex]

To check whether this correct or wrong.

[tex]0.8342 \times 10000 = 8342[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

The decimal 0.8342 expressed as a fraction is (c) 8342/10000

From the question, we have the following parameters that can be used in our computation

The decimal 0.8342

Express the decimal 0.8342 as a fraction

So, we have the following representation

Fraction = 8342/10000

When the fraction is simplified, we have

Fraction = 8342/10000

Hence, the decimal 0.8342 as a fraction is (c) 8342/10000

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Answer:

0.9544 = 95.44% probability that the researcher observes an average weight of the 100 people to be between 150 and 170.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

[tex]\mu = 160, \sigma = 50, n = 100, s = \frac{50}{\sqrt{100}} = 5[/tex]

Find the probability that the researcher observes an average weight of the 100 people to be between 150 and 170.

This is the pvalue of Z when X = 170 subtracted by the pvalue of Z when X = 150. So

X = 170

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{170 - 160}{5}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

X = 150

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{150 - 160}{5}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

0.9544 = 95.44% probability that the researcher observes an average weight of the 100 people to be between 150 and 170.

Answer:

[tex]C(t) =\dfrac{ r}{k} - \left (\dfrac{r-kC_{0}}{k} \right )e^{ -kt}[/tex]

[tex]C(t) =\dfrac{ r}{k}- e^{ -kt}[/tex]   ,thus, the  function is said to be an increasing function.

Step-by-step explanation:

Given that:

[tex]\dfrac{dC}{dt}= r-kC[/tex]

[tex]\dfrac{dC}{r-kC}= dt[/tex]

Taking integration on both sides ;

[tex]\int\limits\dfrac{dC}{r-kC}= \int\limits \ dt[/tex]

[tex]- \dfrac{1}{k}In (r-kC)= t +D[/tex]

[tex]In(r-kC) = -kt - kD \\ \\ r- kC = e^{-kt - kD} \\ \\ r- kC = e^{-kt} e^{ - kD} \\ \\r- kC = Ae^{-kt} \\ \\ kC = r - Ae^{-kt} \\ \\ C = \dfrac{r}{k} - \dfrac{A}{k}e ^{-kt} \\ \\[/tex]

[tex]C(t) =\frac{ r}{k} - \frac{A}{k}e^{ -kt}[/tex]

here;

A is an integration constant

In order to determine A, we have [tex]C(0) = C0[/tex]

[tex]C(0) =\frac{ r}{k} - \frac{A}{k}e^{0}[/tex]

[tex]C_0 =\frac{r}{k}- \frac{A}{k}[/tex]

[tex]C_{0} =\frac{ r-A}{k}[/tex]

[tex]kC_{0} =r-A[/tex]

[tex]A =r-kC_{0}[/tex]

Thus:

[tex]C(t) =\dfrac{ r}{k} - \left (\dfrac{r-kC_{0}}{k} \right )e^{ -kt}[/tex]

2. Assuming that C0 < r/k, find lim t→[infinity] C(t) and interpret your answer

[tex]C_{0} < \lim_{t \to \infty }C(t) \\ \\C_0 < \dfrac{r}{k} \\ \\kC_0 <r[/tex]

The equation for C(t) can  be rewritten as :

[tex]C(t) =\dfrac{ r}{k} - \left (\dfrac{r-kC_{0}}{k} \right )e^{ -kt}C(t) =\dfrac{ r}{k} - \left (+ve \right )e^{ -kt} \\ \\C(t) =\dfrac{ r}{k}- e^{ -kt}[/tex]

Thus;  the  function is said to be an increasing function.

================================================

Explanation:

When we talk about "odds in favor", we will use a colon to separate two whole numbers. The first number represents the number of ways for Evelyn to be chosen treasurer (just one way) and the second number represents all the ways she doesn't get chosen (the four other people)

Put another way, writing "odds in favor are 1:4" basically means "there's 1 way to get Evelyn elected and 4 ways for her to not get elected"

Instead of writing 1:4 you could write "1 to 4"

-----------

Side note: Contrast this with "odds against" and the ratio would flip from 1:4 to 4:1. Same idea, but the number of failures is listed first because we're focusing on the "against" (instead of "favor") portion. We read "4:1" as "4 to 1".

The odds in favor of Evelyn becoming treasurer are 1:5 or 1/5.

To determine the odds in favor of Evelyn becoming treasurer, we need to know the total number of possible outcomes and the number of favorable outcomes.

There are five members in the club, so there are five possible outcomes for the treasurer position, one for each member. Since Evelyn is one of the five members, she has one favorable outcome.

Therefore, the odds in favor of Evelyn becoming treasurer are 1:5 or 1/5.

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Answer:

90% probability that she has at least one marble of each color

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the marbles are selected is not important. So we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

What is the probability that she has at least one marble of each color?

Desired outcomes:

Two red(from a set of 2) and one yellow(from a set of 3)

Or

One red(from a set of 2) and two yellows(from a set of 3).

So

[tex]D = C_{2,2}*C_{3,1} + C_{2,1}*C_{3,2} = \frac{2!}{2!(2-2)!}*\frac{3!}{1!(3-1)!} + \frac{2!}{1!(2-1)!}*\frac{3!}{2!(3-2)!} = 3 + 6 = 9[/tex]

Total outcomes:

Three marbles, from a set of 3 + 2 = 5. So

[tex]T = C_{5,3} = \frac{5!}{3!(5-3)!} = 10[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{9}{10} = 0.9[/tex]

90% probability that she has at least one marble of each color

Answer:

b = -18

Step-by-step explanation:

(3 + 4i) (-3-2i)

When we foil:

-9 + -6i + -12i + -8i^2

-8i^2 = +8

Combine like terms:

-1 + -18i

Answer:  c) 56.2

Step-by-step explanation:

Compare the original rate to the the new rate:

[tex]\dfrac{diameter}{mph}:\dfrac{24.5\ in}{53\ mph}=\dfrac{26\ in}{x}\\\\\\24.5x=53(26)\\\\\\x=\dfrac{53(26)}{24.5}\\\\\\x=\large\boxed{56.2\ mph}[/tex]

Answer:

Bacterial infection

Step-by-step explanation:

Antibiotics are most effective against bacterial infections.

Answer:

Bacterial infection

Antibiotics are most effective against bacterial infections