-3(x-4)=-9(x-1) solving linear equations

Answer:

4x - y = -8

Step-by-step explanation:

y = 4x+8

-8 + y = 4x

-8 = 4x - y

4x - y = - 8

The average increase in the number of flowers pollinated per day between days 4 and 10 is 39.

What is average increase?

Average increase refers to the average rate of growth that a variable experiences within a given period.

According to the given question:

The number of pollinated flowers as a function of time in days is represented by the function f(x) = [tex]3^{(x/2)[/tex]

To find the average increase in the number of flowers pollinated per day between days 4 and 10, we use the formula

{f(10) - f(4)}/{10 - 4}

Now f(10) = [tex]3^{(10/2)[/tex]

               = 243

Also f(4) = [tex]3^{(4/2)[/tex]

             = 9

Therefore average increase = {f(10) - f(4)}/{10 - 4}

                                               = (243 - 10)/10 - 4

                                               = 234/6

                                               = 39

Thus, the average increase in the number of flowers pollinated per day between days 4 and 10 is 39.

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The correct Option (B). Succession may be defined as the change in the ecological community of the species with respect to time. Two main types of succession are primary succession and secondary succession.

The living things that accumulate in the succession is from the simple organism to the complex organism. First lichens will evade in the land. After lichens grass then shrubs and finally the trees will cover the area and convert into the forest.

Primary succession occurs in basically dead areas—regions where the soil is incapable of supporting life due to causes such as lava flows, newly created sand dunes, or glacier-left boulders.

Pioneer microorganisms, plants (lichens and mosses), grassy stage, smaller shrubs, and trees are all stages of primary succession. When there is food available, animals begin to return. The climax community stage is reached when the ecosystem is fully functional.

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Full Question :

After a town is abandoned, the concrete parking lots remain empty and inactive for hundreds of years. What is the most likely order of ecological succession in that area?

A.grass → trees → lichens → moss

B.lichens → grass → shrubs → trees

C.lichens → grass → trees → shrubs

D.shrubs → grass → trees → lichens

When a biased coin is tossed ten times, the likelihood of getting at least nine heads is 0.0463.

The binomial distribution's PMF is;

P(X = x) = ⁿCₓ . pˣ . qⁿ⁻ˣ

Following are the results of a calculation using a binomial distribution to determine the likelihood of receiving at least 9 heads.

P(X ≥ 9) = P(X = 9) + P(X = 10)

P(X ≥ 9) = ¹⁰C₉. (0.6)⁹ (1 - 0.6)¹ + ¹⁰C₁₀. (0.6)¹⁰ (1 - 0.6)⁹

P(X ≥ 9) = 0.0403 + 0.0060

P(X ≥ 9) = 0.0463

Thus, when a biased coin is tossed ten times, the likelihood of getting at least nine heads is 0.0463.

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The complete question is-

A biased coin is tossed 10 times and the probability of obtaining heads is 0.6.

Find the probability of obtaining at least 9 heads. Round answer to the nearest ten-thousandth.

Pretty sure this is the answer:

C. slope intercept form

Using triple integrals we know that the solid in question has a volume of 1024/3³ units.

Multiple integrals in mathematics is a definite integrals of a function with many real variables, such as for f.

The area of a region enclosed by the function's curve is calculated using the double integral.

It can also be used to figure out how much space is beneath the surface.

The double integral can also be used to calculate the average value of a function with two variables over the rectangular region.

So, the volume of the solid (V) in this problem must be calculated using the triple integral formula in rectangular coordinates:

[tex]V=\iiint d y d x d z[/tex] ...(1)

The following intervals impose restrictions on the solid:

[tex]y \in\left[x^2, 16\right], x \in[-4,4], z \in[0,4][/tex]

The triple integral is currently explained as follows:

[tex]$$V=\int_0^4 \int_{-4}^4 \int_{x^2}^{16} d y d x d z$$\\[/tex]

Now we integrate three times to get the volume:

[tex]\\\begin{aligned}& V=\int_0^4 \int_{-4}^4\left(16-x^2\right) d x d z \\& V=\left.\int_0^4\left(16 \cdot x-\frac{x^3}{3}\right)\right|_{-4} ^4 d z \\& V=\frac{256}{3} \int_0^4 d z=\frac{1024}{3}\end{aligned}$$[/tex]

Therefore, using triple integrals we know that the solid in question has a volume of 1024/3³ units.

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Complete question:

Use a triple integral to find the volume of the given solid. The solid is bounded by the parabolic cylinder y = x2 and the planes z = 0, z = 4, y = 16.

This is probably the answer =2x4−x3−6x2−x−1/x

The zeros of the given function are x= -1/6, x=1 and x= 4

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

Divide the polynomial  [tex]6x^3-29x^2+19x+4[/tex]by the factor (x-4) using long division method to find other 2 factors:

x-4)    [tex]6x^3-29x^2+19x+4[/tex]                ( [tex]6x^2-5x-1[/tex]

         [tex]6x^3-24x^2[/tex]

______________________

                 [tex]-5x^2+19x+4[/tex]

                 [tex]-5x^2+20x[/tex]

__________________________

                             [tex]-x+4[/tex]

                             [tex]-x+4[/tex]

__________________________

                                  0

Factors of  [tex]6x^2-5x-1[/tex] are (6x+1)(x-1)

Find zeros by equating 3 factors to zero:

(6x+1)(x-1) ( x-4) = 0

=> (6x+1)=0,  (x-1) =0 , ( x-4)  =0

=> x= -1/6, x=1 and x= 4

Thus, the zeros of the given function are x= -1/6, x=1 and x= 4

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For Cameron's job, the restrictions on the domain are 168 hours for the hourly rate.

The total number of hours affects how much money is made.

This suggests that the amount of money made is the result of the number of hours put in.

A week can only have a total of 168 hours (24 x 7).

Thus, the domain for the hourly wage of Cameron.

24 x 7 < 168

Since 168 hours is the maximum that can be completed in a week, this represents the constraint mostly on domain.

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Observed proportions (relative frequencies) from a sample are statistics that can be used to estimate probabilities.

a) Thre is 99.73% proportion of observations is in between 190 and 310 .

b)there is 95.44% proportion of observations is in between 210 and 290 .

We have given that,

Mean of population, μ = 250

standard deviations, σ = 20

we have to calculate proportion of observations in the given interval pair.

a) pair of values are 190 and 310

Using Z-score formula,

Z =( x - μ) /σ

=> Z = (190 - 250) / 20 = -3

Similarly, Z = (310 - 250)/20 = 3

So, -3 < z < 3 and from Z score we found p-value

P(190<X<310) = P( 190-u/sd < X-u/sd < 310-u/sd)

= P( X< 310 ) - P(X<190) = P(Z < 3) - P( Z< -3 )

=0.99865 - 0.00135 0.9973 = 99.73%

b) pair is 210 and 290

Z-Score = (210-250)/20 = -2

Z-score = (290-250)/20 = 2

so, -2 < z < 2

From Z score we found p-value

P(210<X<290) = P(X<290) - P(X<210)

= P(Z< 2) - P(Z< -2)

= 0.9772 - 0.0228 = 0.9544 = 95.44%

So, the required proportion are 99.73% and 95.44% proportion of observations in each given pair.

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Complete question:

If the mean of a population is 250 and its standard deviation is 20, approximately what proportion of observations is in the interval between each pair of values? a 190 and 310 b. 210 and 290.

Answer:

ok you deleted my other answer

Step-by-step explanation:

im just finishing this challenge and you are the last question i need to answer

Answer:

We'll assume that the kitchen appliance (either an oven or a refrigerator) are actually the same, so I'll call it an oven.

The sales tax on an oven priced at 6% is $40.52

Step-by-step explanation:

($675.40)*(0.06) = $40.524, rounded to $40.52

The number of seats in the theater is 1510.

Here we have to find the number of seats in the theater.

Data given:

Total row = 20

number of seats on the first row = 28

number of seats on the second row = 33

number of seats on the third row = 38

Therefore we get the series as 28, 33, 38......., which is in arithmetic sequence.

The common difference (d) = 5

Here we have to find the sum of the series.

The formula for the sum of n term of the arithmetic sequence:

[tex]S_{n}[/tex] = n/2( 2a + (n-1)d)

    = 20/2 ( 2× 28 + (20 -1) 5)

    = 10 ( 56 + 19×5)

    = 10( 56 + 95)

    = 10 ×151

    = 1510

Therefore the number of seats is 1510.

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The intersection of the parabola and the circle will be (6.865, 1.366) and (6.865, -1.366).

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equations are given below.

y² = x - 5                   ...1

x² + y² = 49              ...2

From equations 1 and 2, then we have

x² + x - 5 = 49

x² + x - 54 = 0

Use the formula method to calculate the value of 'x'. Then we have

x = [- 1 ± √(1² - 4 · 1 · -54)] / 2

x = [- 1 ± √(1 + 216)] / 2

x = (- 1 ± 14.7309) / 2

x = (- 1 - 14.7309) / 2, (- 1 + 14.7309) / 2

x = -7.865, 6.865

Then the value of the variable 'y' is given as,

y² = x - 5

y² = 6.865 - 5

y² = 1.865

y = ± 1.366

The intersection of the parabola and the circle will be (6.865, 1.366) and (6.865, -1.366). And the graph is given below.

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List could be the one Akeem created is option D . 0.21  22%  1/4  0.35  3/8  38%.

Given:

Akeem created a list by correctly putting a group of fraction in percentage and decimals order from least to greatest value.

Least to greatest value:

Option D :

0.21  22%  1/4  0.35  3/8  38%

= 22 %

= 22 / 100

= 0.22

1/4 = 0.25

3/8 = 0.375

38 = 38 / 100

= 0.38

0.21 < 0.22 < 0.25 < 0.35 < 0.375 < 0.38.(least to greatest)

Hence Option D is correct.

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Full question:

Is in the image uploaded.

While hiking, Mr. Fury burns 808 calories in 8 hours. At this rate, how many calories does he burn in 60 minutes?

(1): 6,464 calories

(2): 110 calories

(3): 101 calories

(4): 250 calories

808/8 = 101 per hour

60 minutes = 1 hour so:

101 * 1 = 101

the volume of the region bounded by y = 2x²  is 4π/5unit³

What is volumes of Solids?

We shall encounter several solids and their corresponding volumes when discussing the concept of the volume of a combination of solids. As is common knowledge, the surface areas and volumes of all three-dimensional shapes depend on their dimensions. As we can see in reality, numerous shapes are created by fusing a variety of shapes. For instance, the combination of cone and cylinder shapes creates a tent. Similar to how a cone and a hemisphere combine to form an ice cream cone. As a result, the volume of the solids combined will equal the total of volume of the individual solids.

Given, region y = 2x²

Volume will be V = π/2 ∫(r²) dr

So we have 1/3 π * r² * h

So V = 4π (1/5)

V =  4π/5unit³

Hence, the volume of the solid is 4π/5unit³

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98 % confidence interval for the proportion of all adults in the United States who exercise on a regular basis is 0.440 < P < 0.619.

What does a statistical random sampling entail?

P = x/n

= 89/168

= 0.53

α= 0.02

∴ Zc = Zi - α/2

= 2.326

Now, C.I = P ± Zc * √[P(1-P)/n]

= 0.5 ± 2.326 *√[(0.53(1-0.53)) / 168

= (0.440, 0.619)

∴98% C.I. = 0.440 < P < 0.619

Hence, 98 % confidence interval for the proportion of all adults in the United States who exercise on a regular basis is 0.440 < P < 0.619.

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The Union of South American Nations (UNASUR) is not a regional alliance.

What is the Union of South American Nations?

The Union of South American Nations was formed in 2008 to further the interests of South American nations. It was an intergovernmental union and that was meant to bring more prosperity to the region.

There are also plans to make UNASUR a single-currency union. The Union of South American Nations was never meant to be a regional alliance however.

complete question is

the union of south american nations (unasur) is considered all of the following except (5 points) group of answer choices a supranational organization an intergovernmental union a single-currency union a regional alliance

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The statistical techniques of analysis of variance (ANOVA) and analysis of covariance (ANCOVA) are used to test the validity of the hypothesis regarding the comparison of group mean values.

The term "parametric approach" refers to a statistical technique used to compare the means of two normally distributed continuous variables.

In contrast to ANOVA, which is used to compare the means among three or more groups, the Student's t test (also known as the T test) is used to compare the means between two groups.An ANOVA test with a significant P value identifies at least one pair in which the mean difference was statistically significant.

The post-hoc test (multiple comparisons) is utilized to determine whether pair(s) are significant. When at least one covariate (continuous variable) in an ANOVA test is altered to eliminate confounding variables from the outcome, the procedure is known as an ANCOVA. Because inferences about means are made by analyzing variance, the ANOVA test (F test) is referred to as "Analysis of Variance" rather than "Analysis of Means."

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Answer: 9x - y = -5

Step-by-step explanation:

Suppose if 55 students in the class’s sample say Yes so, there is not sufficient evidence that more than half of the school student recycle.

and Suppose 63 students in the class’s sample say Yes so, there is sufficient evidence that more than half or majority school student recycle.

A.)

According to given data Suppose 55 students in the class’s sample.

n = 100 and x = 55

⇒ p = [tex]\frac{55}{100}[/tex] = 0.55

hence p' = 0.50

so, p > 0.50

Z = [tex]\frac{p-p'}{\sqrt{} \frac{p'(1-p')}{n} }[/tex]

Z = [tex]\frac{0.55-0.50}{\sqrt{} \frac{0.50(1-0.50)}{100} }[/tex]

so, Z = 1

let level of significance α = 0.05

critical Z value at α = 0.05 for one tail test is 1.645

since Z = 1 < z' = 1.645

do not reject at α = 0.05

there is not sufficient evidence that more than half of the school student recycle.

B.)

According to given data Suppose 63 students in the class’s

given data,

X = 63 and n = 100

now P = 63/100 = 0.63

Z = [tex]\frac{0.63-0.50}{\sqrt{} \frac{0.50(1-0.50)}{100} }[/tex] = 2.6

since, Z = 2.6 > Z' = 1.645

⇒ reject at  α = 0.05

there is sufficient evidence that more than half or majority school student recycle.

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If a linear equation has the same variable term but different constant values on opposite sides of the equation, it has no solutions.

How do you tell if a system of equations has no solution algebraically?

If a linear equation has the same variable term but different constant values on opposite sides of the equation, it has no solutions.

What does a system look like if it has no solution?

If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.

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The most appropriate statistical test/analysis for Sean who wants to test a hypothesis according to which the mean amount of sales dollars per employee will vary between 3 store locations would be the T-test.

A T-test is a statistical test which compares the means of two samples. It is used in hypothesis testing, with a null hypothesis which the difference in group means is zero and an alternate hypothesis which the difference in group means is different from zero.

The choice of T-test depends on whether we are studying one group or two groups, and whether we care about the direction of the difference in group means.

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It is true that the variance is the simplest measure of dispersion and is computed as the difference between the maximum value and the minimum value in the data set.

Variance is a measure of dispersion that, in contrast to range and interquartile range, accounts for the spread of all data points in a data collection. Along with the standard deviation, which is just the square root of the variance, it is the measure of dispersion that is most frequently employed. The statistical assessment of the variation in numbers within a data collection is known as variance. In more detail, variance assesses how far apart each number in the collection is from the mean (average) and, consequently, from each other.

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Answer:

Slope is 4

Step-by-step explanation:

Easy! Just take the first four points on the table. So, (0,6) and (1,10). Then plug those points into y₂ - y₁ over x₂ - x₁ and you'll get your final answer.

After translating sentence in to inequality we get x > 7*y.

Let us suppose two variables are x and y.

First let's understand what inequality means?

Inequalities specify the relationship between two values that are not equal. Equal does not imply inequality. Typically, we use the "not equal symbol ≠" to indicate that two values are not equal. But various inequalities are used to compare the values and determine whether they are less than or greater than.

Assume x as grams of saturated fat.

Assume y as grams of unsaturated fat.

Given as grams of saturated fat is more than seven times

grams of unsaturated fat.

[tex]x > 7*y[/tex].

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Susan would charge $7.50 to babysit 5 kids.

The unitary method is used to calculate the value of a single unit from a given multiple. If the cost of 40 pens is Rs. 400, how do you calculate the value of one pen? The unitary method can be used to accomplish this. Furthermore, once we've determined the value of a single unit, we can multiply that value by the number of units needed.

Given,

Amount charged for 3 kids =$4.50

then,

Amount charged for 1 kid will be [tex]\frac{4.50}{3}=$1.50[/tex]

now, amount charge to babysit 5 kids =1.50*5=$7.50

Thus, Susan would charge $7.50 to babysit five children..

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After solving the equation the value obtained for x will be equal to 5.

It is possible to determine a line's direction and steepness by looking at its slope. Finding the slope between lines inside a coordinate plane can aid in anticipating if the lines are perpendicular, parallel, or none at all without physically using a compass.

As per the given information in the question,

The equation of the line passing through the given coordinates will be,

m = (y2 - y1)/(x2 - x1)

The given points are (7, 1) and (4, 8)

Then,

(8 - 1)/(4 - 7) = -7/3

Slope of the line passing through the points (2, x) and (x, -2) then,

(-2 - x)/(x - 2)

Now, we have -7/3 = [tex]-\frac{2+x}{x-2}[/tex]

7x - 14 = 6 + 3x

4x = 20

x = 5

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