All categories

3 years ago

The diagonals of a rectangle must____.

Mathematics

1 answer:

scoundrel [369]3 years ago

6 0

E. bisect each other and be congruent

You might be interested in

A random sample of 64 students at a university showed an average age of 20 years and a sample standard deviation of 4 years. The

adelina 88 [10]

Answer:

The 90% confidence level is $19.15< L < 20.85$

Step-by-step explanation:

From the question we are told that

The sample size is $n = 64$

The mean age is $\= x = 20 \ years$

The standard deviation is $\sigma = 4 \ years$

Generally the degree of freedom for this data set is mathematically represented as

$df = n - 1$

substituting values

$df = 64 - 1$

$df = 63$

Given that the level of confidence is 90% the significance level is mathematically evaluated as

$\alpha = 100 - 90$

$\alpha =$ 10 %

$\alpha = 0.10$

Now $\frac{\alpha }{2} = \frac{0.10}{2} = 0.05$

Since we are considering a on tail experiment

The critical value for half of this significance level at the calculated degree of freedom is obtained from the critical value table as

$t_{df, \frac{ \alpha}{2} } = t_{63, 0.05 } = 1.669$

The margin for error is mathematically represented as

$MOE = t_{df , \frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

substituting values

$MOE = 1.699 * \frac{4 }{\sqrt{64} }$

$MOE = 0.85$

he 90% confidence interval for the true average age of all students in the university is evaluated as follows

$\= x - MOE < L < \= x + E$

substituting values

$20 - 0. 85 < L < 20 + 0.85$

$19.15< L < 20.85$

4 0

3 years ago

What is the unit rate for the proportional relationship represented by the equation y=4/5x

slava [35]

Answer:

the unit rate is 0.8x per unit y

Step-by-step explanation:

the proportional relationship is y = $\frac{4x}{5}$

this means that the constant of proportionality k = $\frac{4}{5}$ = 0.8

re-writing, we have

y = 0.8x

therefore, the unit rate is 0.8x per unit y

5 0

3 years ago

If one factor of 6.x2 + 5x – 6 is

sattari [20]

C. 2x + 3

You have many ways to solve this!
You could...

A) multiply all the answer choices by 3x-2 and see what matches

B) Factor the trinomial

C) Divide the trinomial by the binomial using long division

7 0

3 years ago

Read 2 more answers

Determine the area of the triangular ABC with AC =5cm and height DB=30mm

seropon [69]

Answer:

Step-by-step explanation:

AC² = AD² + DB ²

25 = AD² + 9

AD²= 25 - 9

AD² = 16

AD = 4

Area = 4*3 /2

= 6cm

4 0

3 years ago

Use distributing property : (-11) x (-15) + (-11) x (-25) plzz answer fast

Semmy [17]

The answer is 440.
What I do is just take the -11 and -15 out of the parentheses so it is -11*-15 and the answer is 165. Then, you take -11 and -25 out of the parentheses and find the answer.
Add them together.
Hope that helped :)

5 0

3 years ago