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3 years ago

Does (9,6) make the inequality y > 6 true?

Mathematics

1 answer:

katrin [286]3 years ago

7 0

No. The inequality is false.

In the given point (9,6) the second number is the Y value.

So if you replace Y with the given Y value of 6, the inequality is now 6 > 6 which is false since, 6 is = 6.

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Jeremy is cutting a board into pieces that are 1 2/3 feet long . The board is 14 1/4 feet long . How many 1 2/3 -feet long piece

Solnce55 [7]

Answer:

Total number of 1 2/3 feet long pieces that will be cut=8 pieces

Step-by-step explanation:

This can be expressed as;

Total length of the board=length per piece×number of pieces

where;

Total length of board=14 1/4 feet

Length per piece=1 2/3 feet

Number of pieces=n

Replacing;

14 1/4=1 2/3×n

(57/4)=(5/3)n

n=(57/4)×(3/5)=8.55

Total number of 1 2/3 feet long pieces that will be cut=8 pieces

7 0

3 years ago

Read 2 more answers

Can you please help me

yarga [219]

With pleasure. broooooo

8 0

2 years ago

What is the GCF of 28ab and 42b? 6b 14b 4b 7b NEED ASAP

grigory [225]

Answer:

14b

Step-by-step explanation:

Here, we want to get the greatest common factor of the two terms

The greatest common factor can be obtained by finding the expression that factor the given expression

We have this as;

14b(2a + 3)

So the greatest common factor is 14b

3 0

3 years ago

Whats the Axis of Symmetry? willing to give 15 points !!

nydimaria [60]

The axis of symmetry of a parabola in the form

$y=ax^2+bx+c$

is a vertical line

$x=k$

where k is the x coordinate of the vertex of the parabola.

The x coordinate of the vertex of the parabola is given by

$-\dfrac{b}{2a}$

which in your case is

$-\dfrac{-6}{2\cdot \frac{1}{4}}=\dfrac{6}{\frac{1}{2}}=6\cdot 2=12$

So, the axis of symmetry is the line x=12.

4 0

3 years ago

A grinding wheel manufacturer designed a new grinding wheel. Repeated tests were conducted on wheels of approximately the same w

sergejj [24]

Answer:

a) $a=225 +0.674*16.5=236.121$

So the value of height that separates the bottom 75% of data from the top 25% is 236.121.

b) $P(X \geq 3) = 1-P(X$

c) $P(\bar X \geq 225)=1- P(\bar X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

2) Part a

Let X the random variable that represent the cuts of a population, and for this case we know the distribution for X is given by:

$X \sim N(225,16.5)$

Where $\mu=225$ and $\sigma=16.5$

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.25$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.674. On this case P(Z<0.674)=0.75 and P(z>0.674)=0.25

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=0.674=\frac{a-225}{16.5}$

And if we solve for a we got

$a=225 +0.674*16.5=236.121$

So the value of height that separates the bottom 75% of data from the top 25% is 236.121.

Part b

For this case we know that the individual probability of select one wheel with a cutting rate higher than the calculated value in part a is 0.25, and we select n =10 so then we can use the binomial distribution for this case:

$X\sim Bin(n=10, p=0.25)$