MATHEMATICS HIGH SCHOOL

A scientist is interested in the effect of time spent with parents and number of hoursyouth spend watching television. The researcher knows that the average teen whose
parents work outside the home spends 20 hours a week watching television. The
population mean = 20 and the standard deviation of the distribution is equal to 5.
Calculate the z-scores for the following individual times:
If X = 5, z=
If X = 37, z=

Answers

Answer 1

Answer:

Answer: If X = 5, z=-3

If X = 37, z= 3.4

Step-by-step explanation:

We know that the formula to find the z-score for any random variable x is given by :-

$z=(x-\mu)/(\sigma)$

, where $\mu$ = Population mean

$\sigma$ = Population standard deviation.

As per given , we have

$\mu=20\n\n\sigma=5$

Then , the z-score for x =5

$z=(5-20)/(5)=(-15)/(5)=-3$

i.e. If X = 5, z=-3

When x =37,then $z=(37-20)/(5)=(17)/(5)=3.4$

i.e. If X = 37, z= 3.4

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HELPPPP is the ratio 5:6 equivalent to 3:4 ?

Answers

No, it’s not equivalent to 3:4

Ratios are the same thing as fractions:

5:6 OR 5/6 does not equal 3/4

Find the values of x and y.

Answers

Answer:

$x=3.5,y=24$

Step-by-step explanation:

The smaller triangle joining the midpoints of the bigger right angle triangle will also be a right angle triangle.

Midpoint Theorem-

According to this, the segment joining two sides of a triangle at the midpoints is half the length of the third side.

Applying this,

$\Rightarrow x=(1)/(2)(4x-7)$

$\Rightarrow 2x=4x-7$

$\Rightarrow 4x-2x=7$

$\Rightarrow 2x=7$

$\Rightarrow x=(7)/(2)=3.5$

So, the hypotenuses of the bigger triangle will be,

$=6(3.5)+4=25$

Applying the mid point theorem, the hypotenuses of the smaller triangle will be,

$=(1)/(2)* 25=12.5$

Applying Pythagoras theorem in the smaller triangle, the leg will be

$=√(12.5^2-3.5^2)\n\n=√(156.25-12.25)\n\n=√(144)\n\n=12$

Again applying mid point theorem,

$\Rightarrow y=2* 12=24$

The area of a football field can be calculatedby multiplying the length and width of the field. (that is, A= LxW ) Find the
area of a regulation football field in feet, given that the length of the field
is 360 feet (120 yards) and the width is 160 feet (53 1/3 yards).

Answers

360 ft * 160ft = 57,600 ft squared

I'm not sure, this question was kind of confusing

What is the vertex of the quadratic function f(x) = (x – 8)(x – 2)?

(
,
)

Answers

Answer:

( 5, -9 ) is the answer

Answer:

⅞2781x 3862

Step-by-step explanation:

i don't know but that is my answer ok kayat taposin Mona ang module mo

Factor completely 16x2 + 40x + 25.(4x − 5)(4x − 5)

(2x − 5)(2x − 5)

(2x + 5)(2x + 5)

(4x + 5)(4x + 5)

Answers

Answer:

The factors are : $(4x+5)(4x+5)$

Step-by-step explanation:

The given expression is :

$16x^(2) +40x+25$

Re writing the equation :

$4^(2)x^(2) +40x+5^(2)$

Applying the rule $a^(x) b^(x) =(ab)^(x)$

$(4x)^(2) +40x+5^(2)$

Re write 40x as 2.4x.5

$(4x)^(2) + 2*4x*5+5^(2)$

Applying perfect square formula:

$(a+b)^(2)=a^(2) +2ab+b^(2)$

where a = 4x and b = 5

So, the factors become : $(4x+5)^(2)$

or $(4x+5)(4x+5)$

Hello,

16x²+40x+25=(4x+5)²
Answer 4

Two angles in a triangle add up to 135 degrees what is the size of the third angle?

Answers

This question is checking to see if you remember what the three angles
of any triangle always add up to. Apparently you don't, or you would not
need to go out looking for somebody who does.

The three angles inside every triangle always add up to 180° .

If two of them add up to 135° , then that leaves

(180° - 135°) = 45° .

for the one remaining angle.

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