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3 years ago

The digit 4 in which number represents a value of 4 hundredths?

Mathematics

1 answer:

nydimaria [60]3 years ago

6 0

Answer:

Step-by-step explanation:

Because 8's place value is the ones , 3's place value is the tenths and 4's place value is the hundredths.

Example > 0.1 = tenths slot. 0.01 = hundredths slot. 0.001 = thousandths slot. 0.0001 = ten thousandths slot.

Your welcome pooh.

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F(x) = x<br> Horizontal stretch by a factor of 2<br> Shift left 3 units<br> . Shift up 5 units

WARRIOR [948]

Answer:

f(x) = 0.5(x + 3)^2 + 5.

Step-by-step explanation:

The horizontal stretch is given by multiplying by 1/2 or 0.5:

f(x) = 0.5x^2

Now a shift of 3 to the left gives f(x) = 0.5(x + 3)^2.

5 units up gives 0.5(x + 3)^2 + 5.

6 0

4 years ago

what do you call the middle value in the set of the data or quantities a mean b. median c.mode d.range

MakcuM [25]

Answer:

median is the middle value

mean is the average

mode is the one that occurs most

range is the highest number - lowest number

6 0

3 years ago

A piece of wire 25 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria

fomenos

Answer:

Wire used for square is 7.55 m.

Step-by-step explanation:

Let the length of wire cut for square be 'x'.

Given:

Total length of the wire = 25 m

Length of wire for square = 'x'

Length of wire for equilateral triangle = $25-x$

Now, area of square (a) = $x^2$

Area of equilateral triangle (e) is given as:

$e=\frac{\sqrt3}{4}(25-x)^2$

Now, total area (A) is given as:

$A=a+e\\\\A=x^2+\frac{\sqrt3}{4}(25-x)^2$

Now, in order to maximize 'A', the derivative of area with respect to 'x' must be 0.

∴ $\frac{dA}{dx}=0$

$\frac{d}{dx}(x^2+\frac{\sqrt3}{4}(25-x)^2)=0\\\\2x-\frac{\sqrt3}{2}(25-x)=0\\\\2x+\frac{x\sqrt3}{2}=\frac{25\sqrt3}{2}\\\\x(2+\frac{\sqrt3}{2})=\frac{25\sqrt3}{2}\\\\x(4+\sqrt3)=25\sqrt3\\\\x=\frac{25\sqrt3}{4+\sqrt3}=7.55\ m$

Therefore, the length of the wire that is cut for square should be 7.55 m for maximum area.

3 0

3 years ago

4. IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. In a

borishaifa [10]

675 people will have score between 85 and 120

Step-by-step explanation:

Given

Mean = 100

SD = 15

If we have to find percentage of score between two values we have to find the z-score for both values and then area under the curve for both values

z-score is given by:

for a value x:

$z-score = \frac{x-mean}{SD}$

So,

For 85:

$z-score = z_1 = \frac{85-mean}{SD}\\ = \frac{85-100}{15}\\=\frac{-15}{15}\\=-1$

$z-score = z_2 = \frac{120-mean}{SD}\\ = \frac{120-100}{15}\\=\frac{20}{15}\\=1.3333$

Now we have to find the area under the curve for both values of z-score. z-score tables are used for this purpose.

So,

For z1 : 0.1587

For z2: 0.9082

The area between z11 and z2:

$z_2-z_1 = 0.9082-0.1587=0.7495$

So the probability of score between 85 and 120 is 0.7495

As the sample is of 900 people, the people with scores between 85 and 120 will be:

900*0.7495 = 674.55 people

Rounding off to nearest whole number

675 people will have score between 85 and 120

Keywords: Probability, SD

Learn more about probability at:

#LearnwithBrainly

4 0

4 years ago

Question

RideAnS [48]

Answer:

Step-by-step explanation:

There are 9 letters, which contains 2Qs, 3Ls and 4Bs.

If the 9 letters are distinct, the number of permutations they have will be 9!.

! is the factorial sign.

9! = 9*8*7*6*5*4*3*2*1

HOWEVER, we have some identical elements, so we need to get rid of the permutations of the same letters.

Thus we have:

$\dfrac{9!}{2!*3!*4!} =\dfrac{9*8*7*6*5}{2*3*2*1} = \dfrac{9*4*7*5}{1} = 63*20=1260$

The answer is D

6 0

3 years ago