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3 years ago

Find 5 rational numbers between 3/5 and 4/5

2 answers:

6 0

This can be any rational number between 0.6 and 0.8, so examples include 0.61, 0.75, 0.6819583, 0.79994, etc. As long as the decimal does not go on forever without repeating and it's between 0.6 and 0.8, the number can be used.

inna [77]3 years ago

5 0

19/30 20/30 21/30 22/30 23/20

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Which two values of x are roots of the polynomial below? x^2-3x+5

Gemiola [76]

Given:

Polynomial $x^2-3x+5$

To find:

The values of x.

Solution:

$x^2-3x+5=0$

Quadratic equation formula:

$$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here $a=1, b=-3, c=5$ .

Substitute the values in the formula, we get

$$x=\frac{-(-3) \pm \sqrt{(-3)^{2}-4 \cdot 1 \cdot 5}}{2 \cdot 1}$

$$x=\frac{3 \pm \sqrt{9-20}}{2}$

$$x=\frac{3 \pm \sqrt{-11}}{2}$

$$x=\frac{3 - \sqrt{-11}}{2} \ \text{and} \ x=\frac{3 + \sqrt{-11}}{2}$

Option E and option F are the roots of the polynomial.

The values of x are $x=\frac{3 - \sqrt{-11}}{2} \ \text{and} \ x=\frac{3 + \sqrt{-11}}{2}$ .

7 0

3 years ago

Quadrilateral ABCD has congruent angles and opposite sides that are congruent. What classification can be given to ABCD? (5 poin

fgiga [73]

All angles are congruent.
The sum of the measures of the interior angles of a quadrilateral is 360.
Since all angles are congruent, then each angle must measure 360/4 = 90.
Every angle measures 90 degrees.
The quadrilateral must be a rectangle.
Is the quadrilateral also a square?
We are told "opposite sides that are congruent." Since only opposites sides are congruent, and not all sides are congruent, then it is a rectangle, but not necessarily a square.

Answer: B. rectangle

3 0

3 years ago

Read 2 more answers

Is this equation infinity many solution 5c+9=5c-12

MatroZZZ [7]

Answer:

The answer is no solution.

Step-by-step explanation: First, you would add + 12 to both sides of the equation so that you would have 5c + 21 = 5c. Then, you would subtract 5c from both sides of the equation. This would leave you with 21 = 0. Since this is not true, the equation would have no solution.

3 0

3 years ago

Read 2 more answers

Find a 75% confidence interval for the population average weight μ of all adult mountain lions in the specified region. (Round y

kupik [55]

Answer:

75% confidence interval is 91.8±16.66. That is between 75.1 and 108.5 pounds.

Step-by-step explanation:

The question is missing. It is as follows:

Adult wild mountain lions (18 months or older) captured and released for the first time in the San Andres Mountains had the following weights (pounds): 69 104 125 129 60 64

Assume that the population of x values has an approximately normal distribution.

Find a 75% confidence interval for the population average weight μ of all adult mountain lions in the specified region. (Round your answers to one decimal place.)

75% Confidence Interval can be calculated using M±ME where

M is the sample mean weight of the wild mountain lions ( $\frac{69 +104 +125 +129+60 +64}{6} =91.8$ )

ME is the margin of error of the mean

And margin of error (ME) of the mean can be calculated using the formula

ME= $\frac{t*s}{\sqrt{N} }$ where

t is the corresponding statistic in the 75% confidence level and 5 degrees of freedom (1.30)

s is the standard deviation of the sample(31.4)

N is the sample size (6)

Thus, ME= $\frac{1.30*31.4}{\sqrt{6} }$ ≈16.66

Then 75% confidence interval is 91.8±16.66. That is between 75.1 and 108.5

3 0

3 years ago

∠C and ∠D are vertical angles with m∠C=−x+26 and m∠D=2x−10 . What is m∠D ?

grin007 [14]

Answer:

the correct answer is 14

Step-by-step explanation:

6 0

3 years ago