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Answer:

a = –2, b = 4, c = – 3

Step-by-step explanation:

We are given the following quadratic equation in the question:

-2x^2 + 4x - 3 = 0−2x

2

+4x−3=0

General form of quadratic equation:

ax^2 + bx + c = 0ax

2

+bx+c=0

Comparing the given equation to general quadratic equation, we get,

a = -2, b = 4, c = -3a=−2,b=4,c=−3

Thus, the correct answer is

Option D) a = –2, b = 4, c = – 3

The values of a, b, and c in the given quadratic equation are a = -2, b = 4, c = -3

The meaning of quadratic equation is any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.

Given is a quadratic equation -2x²+4x-3 = 0, we need to find the values of a, b, and c in the given quadratic equation.

The standard equation of a quadratic equation is ax²+bx+c = 0,

Comparing the given equation with the standard equation,

We get, a = -2, b = 4, c = -3

Hence, the values of a, b, and c in the given quadratic equation are a = -2, b = 4, c = -3

Learn more about quadratic equation click;

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Answer:

The perimeter of rectangle JKLM is 16 units.

Step-by-step explanation:

Perimeter is the area around the shape, so if you look at the space between K and J, the units there are 7. Multiply 7 by 2 (since there are two sides), and then add 2. 2 + 14 = 16.

Answer:

17 units

Step-by-step explanation:

can u mark me as brainliest?

Answer:

d. Twenty-five cars are randomly selected with the new transmission and 25 with the old transmission.

Step-by-step explanation:

A hypothesis test on the difference between the means must satisfy the following conditions

1) the samples must be randomly selected

2) each sample must have a known standard deviation

3) the samples must be independent

4) the samples must be from normal distribution

Hence only part d gives the right answer.

Answer:

4. t>16

hope it helps......

Answer:

16 anos

Step-by-step explanation:

Answer:

B. 12^3 - 12^2 - 11

Step-by-step explanation:

........

Answer:

1/5

U can do it by the cutting methord.

Answer:

b.) Analyzing the number of hours that freshman, sophomores, juniors, and seniors study in a semester as well as the number of hours of sleep each group gets at night.

Step-by-step explanation:

Analysis of Variance could be referred to as a form of statistical test which is used to evaluate the average or mean changes of a continous dependent variable based on the different combination of the input levels of TWO independent or predictor variables. From the options given, the option selected, the analysis is based on TWO independent, predictor variables which are hours of study in a semester and the number of sleeping hours for 3 different levels or categorical groups of students (Freshman, sophomore, Junior and Seniors) get at night.

Since, we can identify two distinct independent variables, then it is fit for analysis using a 2 - way ANOVA.

Answer:

p

Step-by-step explanation:

Answer:

p =favorable outcome/possible outcome

p(not 3)=3/4

Answer:

See below

Step-by-step explanation:

2x = 10

Divide by 2.

x = 5

x has to equal 5 to make the first statement true.

Proof:

2x = 10

2(5) = 10

10 = 10

-3x = 21

Divide by -3.

x = -7

x has to equal -7 to make the second statement true.

Proof:

-3x = 21

-3(-7) = 21

21 = 21

1/3(x) = 6

Multiply by 3 to cancel the fraction.

x = 18

x has to equal 18 to make the third statement true.

Proof:

1/3(x) = 6

1/3(18) = 6

6 = 6

-1/2(x) = -7

Multiply by -2 to cancel the fraction.

x = 14

x has to equal 14 to make the fourth statement true.

Proof:

-1/2(x) = -7

-1/2(14) = -7

-7 = -7

Answer:

The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.

Step-by-step explanation:

An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating:

At the null hypothesis, we test if the mean is the same, that is:

[tex]H_0: \mu = 59.5[/tex]

At the alternate hypothesis, we test that it is different, that is:

[tex]H_a: \mu \neq 59.5[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

59.5 is tested at the null hypothesis:

This means that [tex]\mu = 59.5[/tex]

After testing 250 vans, they found a mean MPG of 59.2. Assume the population standard deviation is known to be 1.9.

This means that [tex]n = 250, X = 59.2, \sigma = 1.9[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{59.2 - 59.5}{\frac{1.9}{\sqrt{250}}}[/tex]

[tex]z = -2.5[/tex]

Pvalue of the test and decision:

The pvalue of the test is the probability of finding a mean that differs from 59.5 by at least 0.3, which is P(|Z|>-2.5), which is 2 multiplied by the pvalue of Z = -2.5.

Looking at the z-table, Z = -2.5 has a pvalue of 0.0062

2*0.0062 = 0.0124

The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.

Answer:

A sample of 2017 should be taken.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

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

Suppose that a study designed to collect new data on smokers and nonsmokers uses a preliminary estimate of the proportion who smoke of 0.30.

This means that [tex]\pi = 0.3[/tex]

Confidence level:

Not given, so I will use 95%.

This means that [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

a. [2.5 pts] How large a sample should be taken to estimate the proportion of smokers in the population with a margin of error of 0.02?

A sample of n should be taken.

n is found fo M = 0.02. So

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

[tex]0.02 = 1.96\sqrt{\frac{0.3*0.7}{n}}[/tex]

[tex]0.02\sqrt{n} = 1.96\sqrt{0.3*0.7}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.3*0.7}}{0.02}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.3*0.7}}{0.02})^2[/tex]

[tex]n = 2016.8[/tex]

Rounding up:

A sample of 2017 should be taken.

Answer:

5

Step-by-step explanation:

Step-by-step explanation:

circumference of a circle

U = 2 x pi x r

what you know:

U = 13

rearrange and solve for r

U/(2 x pi) = r

9514 1404 393

Answer:

  y = -3x

Step-by-step explanation:

Your solution will be in the form ...

  y = (something)

In order to get the y-term by itself, you need to add the opposite of everything else*:

  3x +y +(-3x) = 0 +(-3x)

  y = -3x . . . . . simplify

_____

* Anything you do to one side of the equation must also be done to the other side. Here, we added -3x to both sides.

Answer:

a)2

B)2

Step-by-step explanation:

Answer:

x+y= 30

8x+7.5y=234

you need to work 18 hours as a dog walker and 12 hours at the carwash

Step-by-step explanation:

x is the number of hours spent dog walking

y is the number of hours spent at the car wash

x+y is to total number of hours work (30)

8x is the amount made dog walking

7.5y is the amount made working at the carwash

234 is the total amount made by working 30 hours

x+y= 30

8x+7.5y=234

to solve:

x+y=30  (isolate the variable x) x=30-y

8(30-y)=234 (substitute in the 30-y for x)

240-8y+7.5y=234 (distribute the 8)

240-.5y=234 (combine like terms)

-.5y=-6 (subtract 240 from each side)

y=12 (divide by .5)

x+12=30 (put 12 in for y)

x=18 (subtract 12 from both sides)

you need to work 18 hours as a dog walker and 12 hours at the carwash

Answer:

It's (B), using L'Hopital's Rule.

Answer:

96 cubes vol.

Step-by-step explanation:

the volume of Belinda's prism =

2×3×2 = 12 cubes vol.

Each dimension of April's rectangular prism is twice as many cubes as Belinda's prism.

the volume of April's prism =

(2×2)×(2×3)×(2×2)= 4×6×4= 96 cubes vol.

so,

the volume of April's prism = (2)³ times the volume of Belinda's prism

Answer:

Required expression = (g+h) - 11

Answer:

[tex]56666\frac{2}{3}[/tex]

Step-by-step explanation:

Answer:56,666.666

Step-by-step explanation:

Respuesta

Step-by-step explanation:

here's your solution

==> perimeter of above figure = (30 + 13 + 13)*2

==> perimeter = 56*2

==> perimeter = 112 unit

==> now , we have to find area

==> firstly divide whole figure in two parts

==> and then divide each into three parts

==> area of rectangle = 30*5

==> area of rectangle = 150 unit^2

==> area of two traingle = (1/2)*2 12*5

==> area of two traingle = 30 unit^2

==> area of one part = 150 + 30 = 180 unit^2

now area of whole figure = 2*180

area = 360 unit^2

[tex]hope \: it \: helps[/tex]

Answer:

Step-by-step explanation:

g(x) =  -|x-3| +4

Answer:

f(x) = 25,000(0.1)^5x

Step-by-step explanation: