The heights of some students are given. What is the range 152cm, 173cm, 148cm,163,cm, 166cm,158cm

The z-score of the value P ( x < 92 ) is given by z = -1 with standard deviation of 6 is P ( x < 92 ) = 0.16

The relationship between a value and the mean of a set of values is expressed numerically by a Z-score. The Z-score is computed using the standard deviations from the mean. A Z-score of zero indicates that the data point's score and the mean score are identical.

The Z-score is calculated using the formula:

z = (x - μ)/σ

where z: standard score

x: observed value

μ: mean of the sample

σ: standard deviation of the sample

Given data ,

Let the distribution be a normal distribution where

The mean of the data is μ = 98

The standard deviation is σ = 6

Now , the Z-score is determined by z = (x - μ)/σ

On simplifying , we get

when x = 92

P ( x < 92 ) is

z = ( 92 - 96 ) / 6

z = -1

So , the p value of P ( x < 92 ) is 0.1587

On rounding to the nearest value , we get

P ( x < 92 ) = 0.16

Hence , the z-score is solved

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Answer:

60/121

Step-by-step explanation:

There are two outcomes that are included in the event "2 different in color" -- either  Red followed by Blue (RB) or Blue followed by Red (BR).

Probability of RB is [tex]\frac{5}{11}\times \frac{6}{11}=\frac{30}{121}[/tex]  The denominator 11 does not change in the second fraction because you put the first marble back; still 11 marbles in the bag.

Probability of BR is [tex]\frac{6}{11} \times \frac{5}{11}=\frac{30}{121}[/tex]

Probability of RB or BR:  add the probabilities to get 60/121.

Answer:

i think its 700

Step-by-step explanation:

7%of 2000 is 140 and 140 x 5 is 700

Answer: $700 interest

Note that the formula for simple interest is I=Prt

1. Identify the Principal amount (P), rate (r), and time (t)

Principal amount=$2,000

Rate: 7% (0.07)

Time: 5 years

2. Plug the numbers into the formula; always make sure that the rate is in decimal form and the time is in years.

2,000*0.07*5=700

3. Final answer: $700

Answer:

what number is it less than? i need that number to solve it

once you give it to me i will solve it

Step-by-step explanation:

Answer:

A,

23/6v+28

Step-by-step explanation:

Answer:

D. 23/6v+28

Step-by-step explanation:

Answer:

was,rang or had been , had rung

Step-by-step explanation:

He <was><had been> watching TV when the telephone <rang><had rung>.

Answer:

268 units³

Step-by-step explanation:

V = 4/3 (pi)r³

V = 4/3 (3.14) (4³)

V = 4/3 (3.14) (64)

V = 4/3 (200.96)

V = 268

Answer:

Step-by-step explanation:

f(x) * g(x) = (5x**2) * (x**3 + 2x**2 - 5x) using distribution of 5x**2 to all terms

              = 5x**5 + 10x**4 - 25x**3

              = 5x**3(x**2 + 2x - x)

Answer:

Simple random sampling is the most straightforward approach to getting a random sample. It involves picking the desired sample size and selecting observations from a population in such a way that each observation has an equal chance of selection until the desired sample size is achieved.

Answer:

55.5

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

The answer is 28 because this triangle will add up to 180 degrees and 79 + 73 = 152 and

180 - 152 = 28 so 28 is our missing angle!

Hope this helps you!

Answer:

x = 28

Step-by-step explanation:

180 - 79 = 101

101 - 73 = 28

Five less than twelve times a number is represented by  12n - 5

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Answer:

6.4

Step-by-step explanation:

5^2 + 4^2 = c^2 (pythagoras)

c^2 = 41

c = 6.4

Answer:

15 5/8

Step-by-step explanation:

6 1/4 divided by 2/5

convert mixed numbers to improper fraction: 6 1/4 = 25/4

= 25/4 divided by 2/5

= 25/4 times 5/2

= 25 times 5/4 times 2

= 125/4 times 2

= 125/8

= 15 5/8

[tex]15 \frac{5}{8} [/tex] ✅

Step-by-step explanation:

[tex] \frac{6 \frac{1}{4} }{ \frac{2}{5} } \\ = \frac{25}{4} \times \frac{5}{2} \\ = \frac{125}{8} \\ = 15\frac{5}{8} [/tex]

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Answer:

A

Step-by-step explanation:

Recall that sin = opposite over hypotenuse

For ∠A we are already given its opposite side length ( 2 ) however the hypotenuse has not been identified.

The triangle shown is a right triangle ( indicated by the little square on the bottom left ) which means that we can find a missing side length, more specifically the hypotenuse, using the Pythagorean theorem

[tex]a^2+b^2=c^2[/tex] where a and b = legs and c = hypotenuse

we are given that the legs = 2 and 4 and need to find the hypotenuse

That being said we plug in what we are given and solve for c

[tex]2^2+4^2=c^2\\2^2=4\\4^2=16\\16+4=20\\20=c^2[/tex]

In order to get the exact value of c we must get rid of the exponent.

To do so we can take the square root of both sides

[tex]\sqrt{20} =\sqrt{20} \\\sqrt{c^2} =c\\c=\sqrt{20}[/tex]

hence, the hypotenuse = √20

Now lets look back at the question

Find sin∠A to the nearest hundredth.

well remember sin = opposite over hypotenuse

The opposite of sin∠A is 2 and the hypotenuse is √20

Hence, sin∠A = [tex]\frac{2}{\sqrt{20} }[/tex] which is equivalent to .447213595

Our last step is to round to the nearest hundredth

We get the sin∠A = .45

Answer:

to fine the volume of a cone, you do [tex]\pi r^2*h/3[/tex], r is 3 and h is 4, so [tex]9\pi *4/3[/tex], the cylinder formula is [tex]\pi r^2*h[/tex], r=3 and h=12, so [tex]9\pi *12[/tex], so 12[tex]\pi[/tex]+108[tex]\pi[/tex], this gives a answer of 120[tex]\pi[/tex] or 376.991118431.... GL :)

Step-by-step explanation:

Answer:

t = 2466.67 years (about 2466 years 8 months)

Step-by-step explanation:

Given: Total P+I (A) = $350000, Principal (P) = $26250, Rate (R) = 0.5%

To find: How long did it take Sabrina to pay if the loan if she ended up pay $26250 interest?

Formula: [tex]t = (1/r)(A/P - 1)[/tex]

Solution: To calculate your interest rate, you need to know the interest formula I/Pt = r to get your rate

First, converting R percent to r a decimal

r = R/100 = [tex]\frac{0.5 percent}{100}[/tex] = 0.005 per year,

then, solving our equation

t = (1/0.005)((350000/26250) - 1) = 2466.67

t = 2466.67 years

Therefore, it will take Sabrina 2466.67 years (about 2466 years 8 months) to pay off the loan.

Answer:

a

Step-by-step explanation:

because if they are 3.00 dollars then you decide that bye 180 to get your answers

Answer:

B

Step-by-step explanation:

because 180 is 15 dozen so 15 times 3 would give you the right answer

Answer:

3/10 of all the M & M's are red and blue.

Step-by-step explanation:

Given that 1/10 of the M & M's in a bag are red and 1/5 are blue, to determine what fraction of all the M & M's are red and blue, the following calculation must be performed:

1/10 = 0.10

1/5 = 2/10 = 0.20

1/10 + 2/10 = X

3/10 = X

Therefore, 3/10 of all the M & M's are red and blue.

Answer:

24/96 ?

or 1/4 ?

Step-by-step explanation:

[tex] 7.9 \\ 11.94 \\ 12.58 \\ - - - - - \\ 32.04[/tex]

u gotta add them since they asked about their cost in all

Answer:

B

Step-by-step explanation:

[tex]60\% = 180\\1\%=\frac{180}{60} = 3[/tex]

[tex]100\% - 60\% = 40\%\\40\% = 3*40=120[/tex]

Answer: 120 cans.

Answer:

34

Step-by-step explanation:

xzzee#^€^€€%^"$~~×

Answer:

dicailmal 4.6  and ratioal 4:6                dont add this but this will also work 4/6

Step-by-step explanation:

Answer: don’t know the “following probabilities but I have included answers below

Step-by-step explanation:

4 blue + 6 green = 10 total

probability of getting green once and blue next: 6/10*4/9 = 24/90 or about 0.27

probability of green both times: 6/10*6/9 = 36/90 or 0.4

probability of blue first then green next: 4/10*6/9 = same as first answer (about 0.27)

probability of blue both times: 4/10*4/9 = 16/90 or about 0.18

Answer:

your picture isnt loading

Step-by-step explanation:

Answer:

See Attachment

Step-by-step explanation:

I graphed it below.

Answer:

B)30°

hope it helps....