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1 year ago

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Terrence solves the problem and finds 53.04 x 4.6 = 2,439.84. Tara says that his product is incorrect. Fill in the blanks to hel

p Tara explain Terrence's error.

1 answer:

Burka [1]1 year ago

7 0

Tara was right terrence was close but he put the(.) in the wrong spot the correct answer is 243.984 but terrence put 2439.84
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In a normally distributed data set a mean of 55 where 95% of the data fall between 47.4 and 62.6, what would be the standard dev

tresset_1 [31]

Answer:

The standard deviation of that data set is 3.8

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 55

95% of the data fall between 47.4 and 62.6. This means that 47.4 is 2 standard deviations below the mean and 62.6 is two standard deviations above the mean.

Using one of these points.

55 + 2sd = 62.6

2sd = 7.6

sd = 7.6/2

sd = 3.8

The standard deviation of that data set is 3.8

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1 year ago

The quantities xxx and yyy are proportional. xxx yyy 888 222 161616 444 323232 888 Find the constant of proportionality (r)(r)le

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Answer:

Step-by-step explanation:

1/4

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1 year ago

Evaluate 10m +\dfrac {n^2}410m+ 4 n 2 10, m, plus, start fraction, n, squared, divided by, 4, end fraction when m=5m=5m, equal

Readme [11.4K]

Answer: $54$

Step-by-step explanation:

Given the following expresion provided in the exercise:

$10m+\frac{n^2}{4}$

You can follow these steps in order to evaluate it when $m=5$ and $n=4$ :

1. You need to substitute $m=5$ and $n=4$ into the given expression:

$10(5)+\frac{(4)^2}{4}$

2. Now you can solve the mutiplication:

$=50+\frac{(4)^2}{4}$

3. Since $4^2=4*4$ , you get:

$=50+\frac{16}{4}$

4. You must solve the division. Divide the numerator 16 by the denominator 4. Then:

$=50+4$

5. And finally, you must solve the addition. So, you get this result:

$=54$

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2 years ago

According to the Rational Root Theorem, the following are potential fox) 2x2 +2x 24.roots of -4, -3, 2, 3, 4Which are actual roo

aksik [14]

Correct Answer: First Option

Explanation:

There are two ways to find the actual roots:

a) Either solve the given quadratic equation to find the actual roots

b) Or substitute the value of Possible Rational Roots one by one to find out which satisfies the given equation.

Method a is more convenient and less time consuming, so I'll be solving the given equation by factorization to find its actual roots. To find the actual roots set the given equation equal to zero and solve for x as given below:

$2x^{2} +2x-24=0\\ \\ 2(x^{2} +x-12)=0\\ \\ x^{2} +x-12=0\\ \\ x^{2} +4x-3x-12=0\\ \\ x(x+4)-3(x+4)=0\\ \\ (x-3)(x+4)=0\\ \\ x-3=0, x=3\\ \\ or\\\\x+4=0, x=-4$

This means the actual roots of the given equation are 3 and -4. So first option gives the correct answer.

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2 years ago

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Triangle G E F is shown. Angle G E F is a right angle. The length of hypotenuse F G is 14.5 and the length of F E is 11.9. Angle

jekas [21]

Answer:

B. cos−1(StartFraction 11.9 Over 14.5 EndFraction) = θ

Step-by-step explanation:

From definition:

cos(θ) = adjacent/hypotenuse

The adjacent side respect angle GFE (or θ) is side FE, and side FG is the hypotenuse. Replacing with data and isolating θ:

cos(θ) = 11.9/14.5

θ = cos^-1(11.9/14.5)

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1 year ago

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