12+[(15-5)]+(9-3)] what is the answer

Answers

Answer 1

Answer:

28

Step-by-step explanation:

12+[(15-5)]+(9-3)]

PEMDAS

Parentheses first

12+[(10)]+(6)]

Then add

12+10+6

Answer 2

Answer: 28

Step-by-step explanation:


Related Questions

If a person with a height of 58 inches takes 2,601 steps per mile, a person with a height of 64 inches takes 2,357 steps per mile, and a person with a height of 76 inches takes 1,985 steps per mile, what is the average number of steps of three 58-inch people, five 64-inch people, and two 76-inch people. Afterwards, find the weighted average number of steps. How does the average compare with the weighted average? Which value is a more accurate representation of the data?

Answers

Answer:

1. Average Number of Steps of

= Total of the different steps /  divided by 3

= 6,943/3

= 2,314.3 steps

2. Weighted Average Number of Steps of 3, 58-inch, 5, 64-inc, and 2, 76-inch people

= Total steps by the 10 people divided by 10

= 23,558/10

= 2,355.8 steps

3. The difference is not much.

4. The weighted average (2,355.8 steps) is a more accurate representation of the data.  The calculation of the ordinary average steps is more confusing than the weighted average steps.

Step-by-step explanation:

1. Calculation of the Weighted Average Number of Steps of:

3, 58-inch people = 3 x 2,601 =   7,803

5, 64-inch people = 5 x 2,357 = 11,785

2, 76-inch people = 2 x 1,985 =  3,970

10 persons' total steps = 23,558

2. Calculation of the ordinary average:

58-inch people =  2,601

64-inch people =  2,357

76-inch people =  1,985

Total steps           6,943

Edgar accumulated $5,000 in credit card debt. If the interest rate is 20% per year and he does not make any payments for 2 years, how much will he owe on this debt in 2 years by compounding continuously? Round to the nearest cent.

Answers

Answer:

Loan amount due after 2 years =$7,387.28

Explanation:

The amount due on the loan would be equal to the total accrued interest plus the accumulated amount amount.

Note that, since Edgar did not pay any amount off the loan in the course of the 2 years, the interest due per quarter would be equal to the quarterly  interest rate multiplied by  the unpaid balance till date.

To determine the amount due, we would compound $5,000 at a quarterly interest rate of for 8 quarters. The formula below would suffice

Loan amount due = loan balance × (1+r)^(n)

Quarterly interest rate -20%/4 =5%, number of quarters - 2× 4 =8, loan balance - 5,000

Loan amount due = 5,000 × (1.05)^(8)

                             =  7,387.28

Loan amount due after 2 years =$7,387.28

Step-by-step explanation:

Answer:

7434.57

Step-by-step explanation:

A large cell phone company would like to know if their clients are happy with the service they provide . Which of the following methods would be the best for choosing a random sample that is a fair representation of their clients?

Answers

Answer:

2nd option. this provides an unbiased way to choose the clients surveyed.

At the city museum, child admission is $ 5.30 and adult admission is $ 9.40 . On Sunday, three times as many adult tickets as child tickets were sold, for a total sales of $ 1206.00 . How many child tickets were sold that day?

Answers

Answer:

36 tickets

Step-by-step explanation:

At a city museum, child tickets are sold for $5.30, and adult tickets are sold for $9.40

The total sales that were made are $1206

Let x represent the number of child tickets that were sold

Let y represent the number of adult tickets that was sold

5.30x +9.40y= 1206

The number of adult tickets sold was three times greater than the child tickets

y= 3x

Substitute 3x for y in the equation

5.30x + 9.40y= 1206

5.30x + 9.40(3x)= 1206

5.30x + 28.2x= 1206

33.5x= 1206

Divide both sides by the coefficient of x which is 33.5

33.5x/33.5= 1206/33.5

x = 36

Hence the number of child tickets that were sold that day is 36 tickets

use the cubic model y=x^3+x^2+x to estimate the value of y when x = 10. a 910 b. 110 c. 1210 d. 3150

Answers

Answer:

y = 1110

Step-by-step explanation:

In the above question, we are given the cubic model

y=x³ +x² + x

We are to solve for y when x = 10

Hence,

y = 10³ + 10² + 10

y = 1000 + 100 + 10

y = 1110

Therefore, the value of y when x is 10 using the cubic model of ' y =x³ +x² + x' is 1110.

A Canadian longitudinal study1 examined whether giving antibiotics in infancy increases the likelihood that the child will be overweight later in life. The study included children and found that of the children had received antibiotics during the first year of life. Test to see if this provides evidence that more than of Canadian children receive antibiotics during the first year of life. Show all details of the hypothesis test, including hypotheses, the standardized test statistic, the -value, the generic conclusion using a significance level, and a conclusion in context.
1. Clearly state the null and alternative hypotheses.
2. Calculate the test statistic and p-value.
3. What is the conclusion?
4. Do we have evidence to conclude that more than 70% of Canadian infants receive antibiotics?
A. Yes
B. No

Answers

Answer:

1. [tex]H_{0}[/tex] : p = 0.70 , [tex]H_{a}[/tex] : p > 0.70

2. Test Statistic : 0.54 , P value : 0.2946

3. Fail to reject null Hypothesis

4. No.

Step-by-step explanation:

1. Null hypothesis is 70% of children receive antibiotics.

Alternative hypothesis is more than 70% of children receive antibiotics.

2. Test statistic is calculated as;

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

z = [tex]\frac{0.01}{0.0185}[/tex]

z = 0.54

3. p value is calculated as;

1 - right tailed probability

1 - 0.7054 = 0.2946

For f(x) = 4x + 1 and g(x) = x2 – 5, find (f – g)(x).

Answers

Answer:

(f – g)(x) = - x² + 4x + 6

Step-by-step explanation:

f(x) = 4x + 1

g(x) = x² – 5

To find (f – g)(x) subtract g(x) from f(x)

That's

(f – g)(x) = 4x + 1 - ( x² - 5)

Remove the bracket

(f – g)(x) = 4x + 1 - x² + 5

Group like terms

(f – g)(x) = - x² + 4x + 1 + 5

We have the final answer as

(f – g)(x) = - x² + 4x + 6

Hope this helps you

What is the product of the polynomials below? (4x^2-2x-4)(2x+4)

Answers

Answer:  8x³ + 12x² - 16x - 16

Step-by-step explanation:

  (4x² - 2x - 4)(2x + 4)

= (2x + 4)(4x² - 2x - 4)

= 2x(4x² - 2x - 4)  +  4(4x² - 2x - 4)

=   8x³ - 4x² - 8x   +  16x² - 8x - 16

=   8x³ + (-4x² + 16x²) + (-8x - 8x) - 16

=   8x³ + 12x² - 16x - 16

Simplify the polynomial, then evaluate for x=3 x^2+2x-3-2x^2+x+4

Answers

Answer:

The answer is

19

Step-by-step explanation:

x² + 2x - 3 - 2x² + x + 4

Group like terms

That's

x² - 2x² + 2x + x - 3 + 4

Simplify

- x² + 3x + 1

when x = 3

We have

(-3)² + 3(3) + 1

9 + 9 + 1

18 + 1

19

Hope this helps you

What is the complete factorization of 36y2 − 1?

Answers

Answer:

36y² - 1

Factorize

We have the final answer as

[tex](y - \frac{1}{6} )(36y + 6)[/tex]

Hope this helps you

Which situation is most likely to have a constant rate of change?
HELP

Answers

Answer:

the answer i would go with is A

Good luck on your Test :)

Step-by-step explanation:

B doesnt really have a constant rate of change as it depends on how many games happen and usually the longer an arena stays open has no correlation on how many people attend the games there

C has no real constant rate of change as it always ends up stopping after a little bit, and the change is usually not a constant one

D this could count, but since its a number that would go down if its not brought back up, its not a real constant rate of change, since it cant go below or above a certain range

so by process of elimination, A is the answer. also seeing as how its saying the distance with the number of times, that means that its an objective thing, as a track is a set distance, and the distance of a run or the track cant be affected by time or anything and could technically never end. so its a constant thing, meaning the longer the distance is, the higher the laps around the track are, and it could theoretically go on forever.

i hope this helped answer your question! :)

The answer is the question is most definitely A

Is 6/16 greater or less than 4/10

Answers

Answer:

Less than 4/10

Step-by-step explanation:

First lets convert both fractions to a common denominator:

16 and 10 can both go into 80 equally.

Now lets convert the fractions so they have a denominator of 80:

(6/16)    *5  = 30/80

(4/10)    *8 = 32/80

we can multiply the fractions to get just the numerator   (*80)

Now compare 30 to 32.  As you can see 32 is greater meaning that 6/16 is less that 4/10.

In a four-digit number, the sum of the thousands and hundred digits is 3.
The tens digit is 4 times the hundreds digit.
The ones digit is seven more than the thousands digit.
No two digits are equal.
What is the four-digit number?

Answers

Answer:  2149

Step-by-step explanation:  If the sum of the first two digits is 3, the choices must be 1 and 2 (or 2 and 1)  In order to satisfy the other specifications, "the tens digit is 4 times the hundreds digit." the hundreds digit can't be 2 because that would make the tens dight 8.  and the ones digit would also have to 8 in order to satisfy the "seven more than the thousands digit" which would be a 1. And that violates the condition, "No two digits are equal."

So the only possible combination is 2149

4 is 4 times 1

9 is 7 +2

When a button is pressed, a computer program outputs a random even number greater than 0 less than 8. You press the button 4 times.

Can some help me with this?

Answers

Answer:

Well all even numbers between 0 and 8 are,

2, 4, 6, 8

Meaning if the button is pressed 4 times 2, 4, 6, or 8 will be outputted.

When press button 4 times. Then output of the program will be,  [tex](2,4,6,2)[/tex]

Even number:

Any number that can be exactly divided by 2 is called as an even number.

Given that, When a button is pressed, a computer program outputs a random even number greater than 0 less than 8.

Even numbers greater than 0 less than 8 are,

                             [tex]=2,4,6[/tex]

When press button 4 times. Then output of the program will be,

                     [tex]=(2,4,6,2)[/tex]

Learn more about the even numbers here:

https://brainly.com/question/581879

TIMERBUATING
09:56
The figure is a parallelogram. One diagonal measures 28
units
Is the figure a rectangle? Explain
20
21
No, t is not a rectangle because the diagonals are
congruent
O No, it is not a rectangle because the sides of the
parallelogram do not meet at night angles.
o Yes, tis a rectangle because the diagonals are
congruent
O Yes, it is a rectangle because the sides of the
parallelogram do meet at right angles.
21
20
Save and Exit

Answers

Answer:

No, it is not a rectangle because the sides of the

parallelogram do not meet at night angles (B)

Step-by-step explanation:

The diagonal of the rectangle = 28

The two sides of the figure measures 20 and 21 units respectively.

To determine if the shape is a rectangle, we would apply Pythagoras theorem

hypotenuse² = opposite² + adjacent²

hypotenuse = diagonal = 28

The other two sides represent the opposite and adjacent

28² = 20² + 21²

784 = 400 + 441

784 ≠ 841

The square of the diagonal is not equal to the sum of the square of the other two sides (length and width).  And as a result of this, the triangle isn't a right angled triangle and the sides of the parallelogram would not meet at right angles.

Therefore, the figure isn't a rectangle.

Option B: No, it is not a rectangle because the sides of the

parallelogram do not meet at night angles.

Find the work done by the force field F(x, y) = xi + (y + 5)j in moving an object along an arch of the cycloid r(t) = (t − sin(t))i + (1 − cos(t))j, 0 ≤ t ≤ 2π.

Answers

Integrate the force field along the given path (call it C):

[tex]W=\displaystyle\int_C\mathbf F(x,y)\cdot\mathrm d\mathbf r=\int_0^{2\pi}\mathbf F(x(t),y(t))\cdot\frac{\mathrm d\mathbf r}{\mathrm dt}\,\mathrm dt[/tex]

[tex]=\displaystyle\int_0^{2\pi}\bigg((t-\sin t)\,\mathbf i+(6-\cos t)\,\mathbf j\bigg)\cdot\bigg((1-\cos t)\,\mathbf i+\sin t\,\mathbf j\bigg)\,\mathrm dt[/tex]

[tex]=\displaystyle\int_0^{2\pi}(t-t\cos t+5\sin t)\,\mathrm dt=\boxed{2\pi^2}[/tex]

By direct calculation we will find that the work done is equal to 2π²

The formula to compute the work done is given by:

[tex]W = \int\limits^a_b {F(x(t), y(t))\cdot\frac{dr(t)}{dt} } \, dt[/tex]

Here we have:

[tex]r(t) = (t - sin(t))i + (1 - cos(t))j[/tex]

This means that:

[tex]x(t) = (t - sin(t))\\y(t) = (1 - cos(t))\\\\\frac{dr(t)}{dt} = (1-cos(t))i + sin(t)j = (1-cos(t), sin(t))[/tex]

And we know that 0 ≤ t ≤ 2π, so b = 0 and a = 2π

Replacing that in the work integral we get:

[tex]W = \int\limits^{2\pi}_0 {(t - sin(t), 1 - cos(t) + 5)\cdot(1-cos(t), sin(t))} \, dt \\\\W = \int\limits^{2\pi}_0 {(t - sin(t), 6 - cos(t))\cdot(1-cos(t), sin(t))} \, dt\\\\W = \int\limits^{2\pi}_0 {(-t*cos(t) +t-sin(t)+ cos(t)*sin(t)+ 6*sin(t) - cos(t)*sin(t) )} \, dt\\\\W = \int\limits^{2\pi}_0 {(-cos(t)*t + 5*sin(t) + t)} \, dt \\\\[/tex]

the sin(t) integral can be removed because it is equal to zero, so we get:

[tex]W = \int\limits^{2\pi}_0 {(-cos(t)*t + t)} \, dtW = [(-t*sin(t) - cos(t)) + \frac{t^2}{2} ]^{2\pi}_0\\\\W = -2\pi*sin(2\pi) - cos(2\pi) + 0*sin(0) + cos(0) + \frac{(2\pi)^2}{2} - \frac{(0)^2}{2}\\\\W = 2\pi^2[/tex]

If you want to learn more, you can read:

https://brainly.com/question/22599382

A psychologist is studying the effects of lack of sleep on the performance of various perceptual-motor tasks. After a given period of sleep deprivation, a measurement of reaction time to an auditory stimulus was taken for each of 36 adult male subjects.The mean and standard deviation of the reaction times (in seconds) for the fifty adult male subjects were 1.82 seconds and 0.28 seconds respectively. Previous psychological studies have shown that the true mean reaction time for non-sleep-deprived male subjects is 1.70 seconds. Does the sample evidence indicate that the mean reaction time for sleep-deprived adult males is longer than that of non-sleep-deprived adult males.
A. H0:μ=1.82;Ha:μ<1.82
B. H0:μ=1.70;Ha:μ<1.70
C. H0:μ=1.82;Ha:μ>1.82
D. H0:μ=1.70;Ha:μ>1.70
E. None of the above

Answers

Answer:

D. [tex]H_{0}[/tex] : μ = 1.70, [tex]H_{a}[/tex] : μ > 1.70

Step-by-step explanation:

The correct order of the steps of a hypothesis test is given following  

1. Determine the null and alternative hypothesis.

2. Select a sample and compute the z - score for the sample mean.

3. Determine the probability at which you will conclude that the sample outcome is very unlikely.

4. Make a decision about the unknown population.

These steps are performed in the given sequence to test a hypothesis

The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. It is not necessary that all null hypothesis will be rejected at 10% level of significance. To determine the criteria for accepting or rejecting a null hypothesis we should also consider p-value.

Explain the connection between the chain rule for differentiation and the method of u-substitution for integration.

Answers

Answer:

Chain rule: [tex]\frac{d}{dx} [f[u(x)]] = \frac{df}{du} \cdot \frac{du}{dx}[/tex], u-Substitution: [tex]f\left[u(x)\right] = \int {\frac{df }{du} } \, du[/tex]

Step-by-step explanation:

Differentiation and integration are reciprocal to each other. The chain rule indicate that a composite function must be differentiated, describing an inductive approach, whereas u-substitution allows integration by simplifying the expression in a deductive manner. That is:

[tex]\frac{d}{dx} [f[u(x)]] = \frac{df}{du} \cdot \frac{du}{dx}[/tex]

Let integrate both sides in terms of x:

[tex]f[u(x)] = \int {\frac{df}{du} \frac{du}{dx} } \, dx[/tex]

[tex]f\left[u(x)\right] = \int {\frac{df }{du} } \, du[/tex]

This result indicates that f must be rewritten in terms of u and after that first derivative needs to be found before integration.

Use the graph to solve the given system of equations, then enter your solution below. {x−3y=−3x+y=5

Answers

Answer:

Step-by-step explanation:

Given the system of equation  x−3y=−3 and x+y=5, we can solve for x and y by solving the equation simultaneously using the substitution method.

x−3y=−3_____________ 1

x+y=5 ______________2

From equation 2; x = 5- y ________ 3

Substitute equation 3 into equation 1

Since x - 3y = -3

(5-y)-3y = -3

5-y-3y = -3

5-4y = -3

Subtract 5 from both sides of the equation

5-4y-5 = -3-5

-4y = -8

Divide both sides by -4

-4y/-4 = -8/-4

y = 2

Substitute y = 2 into equation 2 to get the value of y;

From equation 2, x+y = 5

x+2 = 5

Subtract 2 from both sides of the equation

x+2-2 = 5-2

x = 3

Hence the value of x and y from the graph will be 3 and 2 respectively.

Suppose that Vera wants to test the hypothesis that women make less money than men doing the same job. According to the Bureau of Labor Statistics (BLS), the median weekly earnings for men in the professional and related occupation sector in 2015 was $1343. Vera collected median weekly earnings data for women in 2015 from a random subset of 18 positions in the professional and related occupation sector. The following is the sample data. $1811, $728, $1234, $966, $953, $1031, $990, $633, $796, $1325, $1448, $1125, $1144, $1082, $1145, $1256, $1415, $1170 Vera assumes that the women's median weekly earnings data is normally distributed, so she decides to perform a t-test at a significance level of α = 0.05 to test the null hypothesis, H0:µ=1343H0:μ=1343 against the alternative hypothesis, H1:µ<1343H1:μ<1343 , where µμ is the population mean. If the requirements for performing a t-test have not been met, only answer the final question. Otherwise, answer all five of the following questions. First, compute the mean, x⎯⎯⎯x¯ , of Vera's sample. Report your answer with two decimals of precision.

Answers

Answer:

There is sufficient evidence to conclude that women make less money than men doing the same job.

Step-by-step explanation:

The hypothesis for the test can be explained as follows:

H₀: Women does not make less money than men doing the same job, i.e. [tex]\mu\geq \$1343[/tex].

Hₐ: Women make less money than men doing the same job, i.e. [tex]\mu<\$1343[/tex].

From the provided data compute the sample mean and standard deviation:

[tex]\bar x=\frac{1}{n}\sum X=\frac{1}{18}[1811+728+...+1170]=1125.11\\\\s=\sqrt{\frac{1}{n-1}\sum (X-\bar x)^{2}}=\sqrt{\frac{1}{18-1}\times 1322541.86}=278.92[/tex]

Compute the test statistic as follows:

[tex]t=\frac{\bar x-\mu}[\s/\sqrt{n}}=\frac{1125.11-1343}{278.92/\sqrt{18}}=-3.143[/tex]

The test statistic value is -3.143.

Compute the p-value as follows:

[tex]p-value=P(t_{n-1}<-3.143)=P(t_{17}<-3.143)=0.003[/tex]

*Use a t-table.

The p-value of the test is 0.003.

The p-value of the test is very small for all the commonly used significance level. The null hypothesis will be rejected.

Conclusion:

There is sufficient evidence to conclude that women make less money than men doing the same job.

Find the slope of the line in each figure. If the slope of the line is undefined, it indicates. Then write an equation for the given line. ASAP !! NEED IT

Answers

Answer:

-3

Step-by-step explanation:

Easy way:

Between the two marked points, you can count that you need to go down 6 and over 2. That means the rise/run is -6/2, or -3.

Full way:

Starting Point: (-1,3)

Ending Point: (1,-3)

Slope is given by (y₂-y₁)/(x₂-x₁)

To calculate this, (-3-(3))/(1-(-1))

Clean up the double negatives to get (-3-3)/(1+1), AKA -6/2

-6/2 = -3.

Solve the quadratic equation 4x2 – 2x = 9 using the quadratic formula

Answers

Answer:

x= 1 + or - sr37/4 got it from a sitr

Here you go.

I really hope I helped. Good luck.

35=7x Equals What? Like this is os hard for me

Answers

Answer:

x=5

Step-by-step explanation:

35 = 7x

Divide each side by 7

35/7 = 7x/7

5 = x

So if 35= 7x we can figure out the x by diving 7 from the x on both sides which leaves us with 5 =x

3. The area of a rectangular deck, in square meters, is given by the polynomial 40p2 + 24p.
The deck is 8p meters wide.
a) Find the polynomial that represents the length of the deck.
b) Find the polynomial that represents the perimeter of the deck.

Answers

Answer:

Length = 5p + 3

Perimeter = 26p + 6

Step-by-step explanation:

Given

Area = 40p² + 24p

Width = 8p

Solving for the length of deck

Given that the deck is rectangular in shape.

The area will be calculated as thus;

Area = Length * Width

Substitute 40p² + 24p and 8p for Area and Width respectively

The formula becomes

40p² + 24p = Length * 8p

Factorize both sides

p(40p + 24) = Length * 8 * p

Divide both sides by P

40p + 24 = Length * 8

Factorize both sides, again

8(5p + 3) = Length * 8

Multiply both sides by ⅛

⅛ * 8(5p + 3) = Length * 8 * ⅛

5p + 3 = Length

Length = 5p + 3

Solving for the perimeter of the deck

The perimeter of the deck is calculated as thus

Perimeter = 2(Length + Width)

Substitute 5p + 3 and 8p for Length and Width, respectively.

Perimeter = 2(5p + 3 + 8p)

Perimeter = 2(5p + 8p + 3)

Perimeter = 2(13p + 3)

Open bracket

Perimeter = 2 * 13p + 2 * 3

Perimeter = 26p + 6

Need Help with these (Giving brainiest if you can solve these)

Answers

Answer: try using sine for this equasion

Step-by-step explanation:

The same bedroom furniture set costs $1,500 in both Florida and Alabama. The table gives a breakdown of the taxes someone would pay when purchasing the furniture set in either state. Alabama Florida State of Alabama: 4.225% County Tax: 1.375% City Tax: 3.0% State of Florida: 6.5% County Tax: 1% City Tax: 1.625% Which statement is true? A. The furniture set is cheaper in Alabama, because the amount of sales tax will be lower by about $8. B. The furniture set is cheaper in Florida, because the amount of sales tax will be lower by about $10. C. The furniture set is cheaper in Alabama, because the amount of sales tax will be lower by $10. D. The furniture set costs the same in either state, because the amount of sales tax will be the same for the two locations.

Answers

Answer:

A: True

B, C and D: False

Step-by-step explanation:

We have a total sales tax for Alabama that is:

[tex]T_A=4.225+1.375+3=8.6[/tex]

The total sales tax for Florida is:

[tex]T_F=6.5+1+1.625=9.125[/tex]

The total sales tax is greater in Florida than in Alabama.

A. The furniture set is cheaper in Alabama, because the amount of sales tax will be lower by about $8. TRUE

The sales tax difference in this purchase can be calculated as:

[tex]1500(T_F-T_A)=1500\left(\dfrac{9.125-8.6}{100}\right)=1500\cdot 0.00525=7.875\approx 8[/tex]

B. The furniture set is cheaper in Florida, because the amount of sales tax will be lower by about $10. FALSE (it is cheaper in Alabama)

C. The furniture set is cheaper in Alabama, because the amount of sales tax will be lower by $10. FALSE (the sale tax in Alabama is $129)

The amount of sales tax in Alabama is:

[tex]ST_A=1500\cdot T_A=1500\cdot 0.086=129[/tex]

D. The furniture set costs the same in either state, because the amount of sales tax will be the same for the two locations. FALSE (it is not the same in both states).

Computing a two-independent sample t-test is appropriate when?
A) different participants are assigned to each group
B) the population variance is unknown
C) participants are observed one time
D) all of the above

Answers

Answer:

D) all of the above

Step-by-step explanation:

The two-independent sample t-test is used to evaluate the differences in the means of two independent groups to ascertain if there is indeed a difference in the population means. So, the population variance is unknown before this test is done. To carry out this type of test, the researcher should ensure that there are no similarities between participants in the two groups so that there would be no influences between the groups. The participants in the research should be randomly selected.

The participants are observed one time to ensure that the same conditions hold for both groups and that there is a balance in the research blueprint.

If Sara drives 60 miles per hour, it takes her 2 hours to reach her parents' house. Write an equation describing the relationship between Sara's speed and the time it takes her to get to her parents' house. (Note that speed and time are inversely proportional).
Question 17 options:

A)

s = 120∕t

B)

s = 60∕t

C)

s = 24∕t

D)

s = 30∕t

Answers

Answer: (A) .                                                                                                          

because if you travel 60 miles per hour and i takes 2 hours yto get there you have to double 60 miles so 120 miles per 2 hours

The relationship between Sara's speed and the time it takes her to get to her parent's house will be s = 120/t so option (A) will be correct.

What are work and time?

Work is the completion of any task for example if you have done your homework in 5 hours then you have done 5 hours.

Another illustration of labor is when you finish your meal in an hour, which means that you finished your work in an hour. In essence, work is the length of time it took you to complete any task.

Given that Sara drives 60 miles in 2 hours.

Distance covered by sara is = 60(2) = 120 miles.

We know that

speed = distance/time

Let's say speed is S time is t then

S = 120/t so the correct equation of the given question will be this.

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A poll shows that 41% of voters in a city favor of a $0.0.1 tax increase. If 25 voters are selected at random, what is that exactly 15 of them will vote in favor of the initiative?

Answers

Answer:

The probability is 0.026 to 3 d.p

Step-by-step explanation:

To calculate this , we shall be using the Bernoulli approximation.

let P = percentage of voters supporting the increase = 41% = 41/100 = 0.41

q = percentage of voters not supporting = 100-41% = 59% = 59/100 = 0.59

Now we want to calculate that exactly 15 out of 25 will vote in favor

Mathematically that would be ;

25C15 p^15 q^10

= 25C15 0.41^15 0.59^10

= 0.025981307443 or simply 0.026 to 3 decimal places

evaluate the expression 2(5 -(1/2m)) - 7 where m =4

Answers

Answer:

-1

Step-by-step explanation:

since m=4

we substitute in eqn which is 2(5-(1/2m))

2(5-(1/2(4)))

2(5-2)-7

=-1

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