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2 years ago

The larger root of the equation (x+4)(x+3)=0 is and why???

2 answers:

7 0

$(x+4)(x+3)=0 \\
x+4=0 \ \lor \ x+3=0 \\
x=-4 \ \lor \ x=-3 \\ \\
-4 < -3 \\ \\
\hbox{the larger root} \Rightarrow \boxed{ -3}$

Monica [59]2 years ago

6 0

Break the problem down into (x+4)=0 and (x+3)=0
X+4=0 so you subtract 4 from each side giving you x=-4
X+3=0 subtracting 3 from each side giving you x=-3
-3 is larger than -4 because when dealing with negative numbers, you want to be as close to one because that means the number is bigger.
Therefore -3 is the larger root

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In the high jump event at the city track meet ronald successfully jumped 4 feet and 6 inches. Luis successfully jumped 3 feet an

Genrish500 [490]

Answer:

Ronald by 9 inches

Step-by-step explanation:

Ronald jumped a total of 54inches

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2 years ago

A sample of students at a university took a test that diagnosed their learning styles as active or reflective and also as visual

anastassius [24]

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Sample size, n = 39

Correlation Coefficient, r = 0.273

The hypothesis test to examine if there is a positive correlation :

H0 : ρ = 0

If there is a positive correlation, then ρ greater than 1

H0 : ρ > 1

The test statistic :

T = r / √(1 - r²)/(n - 2)

T = 0.273 / √(1 - 0.273²)/(39 - 2)

T = 0.273 / 0.1581541

T = 1.726

The Pvalue using a Pvalue calculator can be be obtained using df = n - 2, df = 39 - 2 = 37

The Pvalue = 0.0463

α= .10 and α= .05

At α= .10

Pvalue < α ; Hence, we reject H0 and conclude that a positive correlation exists

At α= 0.05 ;

Pvalue < α ; Hence, we reject H0 and conclude that a positive correlation exists

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2 years ago

A number increased by two-thirds of the number is 35. What is the number?

kirza4 [7]

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3 years ago

Read 2 more answers

1. The graph of every exponential function f(x)= ax, a>0, a≠1, passes through what three points(in terms of a)? Explain.

Anvisha [2.4K]

The exponential function
f(x) = a^x
can pass through all points as long as x is any real number

As an example, we can choose values of x.
x = -4, x = 0, x=100

The value of the function in terms of a would be
f(-4) = a^-4
f(0) = a^0 = 1
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2 years ago

A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not. Determ

Hunter-Best [27]

Answer:

The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

Step-by-step explanation:

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

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not.

This means that $n = 100, \pi = \frac{20}{100} = 0.2$

68% confidence level

So $\alpha = 0.32$ , z is the value of Z that has a pvalue of $1 - \frac{0.32}{2} = 0.84$ , so $Z = 0.995$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 - 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.16$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 + 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.24$

The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).

4 0

2 years ago