3 years ago

What statement is NOT always true

Mathematics

1 answer:

Step2247 [10]3 years ago

8 0

The statement "the diagonals are perpendicular ti each other" is sometimes true and sometimes false

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Let π denote some population proportion of interest and suppose a 99% confidence interval for π is calculated to be (0.60, 0.70)

scZoUnD [109]

Answer:

The corresponding p-value will be smaller than 0.01.

Step-by-step explanation:

See attached picture for explanation.

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3 years ago

Multiply the polynomials. (3x − 9)(5x + 1)

Scilla [17]

1 5 x ² - 4 2 x - 9

Ther

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3 years ago

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Solve for x and y in the given the 45° - 45° - 90° triangle shown above. When applicable, simplify all radicals and show your wo

vazorg [7]

Answer:

Therefore,

$x=y= 4\sqrt{2}=5.6568\ units$

Step-by-step explanation:

Given:

Consider In Right Angle Triangle ABC

∠B = 90°

∠C = ∠A = 45°

AB = y

BC = x = adjacent side

AC = 8 = hypotenuse

To Find:

x = ?

y = ?

Solution:

In Right Angle Triangle ABC by Cosine Identity we have

$\cos C = \dfrac{\textrm{side adjacent to angle C}}{Hypotenuse}\\$

substituting the above given values we get

$\cos 45 = \dfrac{BC}{AC}=\dfrac{x}{8}$

$\dfrac{1}{\sqrt{2} } =\dfrac{x}{8}\\\therefore x=\dfrac{8}{\sqrt{2} } \\Rationalizing\ we\ get\\\therefore x=\dfrac{8}{\sqrt{2}}\times \dfrac{\sqrt{2} }{\sqrt{2}}}\\\therefore x=4\sqrt{2}=4\times 1.4142=5.6568\ units$

As The triangle is 45 - 45 - 90

It is an Isosceles Right triangle

$x=y$ ..... Isosceles Triangle property

$\therefore y=4\sqrt{2}=4\times 1.4142=5.6568\ units$

Therefore,

$x=y= 4\sqrt{2}=5.6568\ units$

8 0

3 years ago

The difference between two numbers is 10 and their sum is four times the smaller number Find the two numbers.

Sati [7]

A = larger number

B = smaller number

A -B = 10

A + B = 4B

A=10+B

10+B+B = 4B

10 +2B = 4B

10=2B

B = 10/2 = 5

A = 10+5 =15

15-5 =10

15+5 = 20, 4*5 = 20

the numbers are 5 & 15

6 0

3 years ago

What is the value of z?

DedPeter [7]

Answer:

value of z is39°.

Step-by-step explanation:

64+68+z+9=180°(sum of triangle)

141+z=180

z=180-141

z=39°

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3 years ago

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