How stopwatch can measure accurate reading?

Answer:

σ should be adjusted at 0.5.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean 12.

Assuming we can precisely adjust σ, what should we set σtobe so that the actual amount dispensed is between 11 and 13 ounces, 95% of the time?

13 should be 2 standard deviations above the mean of 12, and 11 should be two standard deviations below the mean.

So 1 should be worth two standard deviations. Then

[tex]2\sigma = 1[/tex]

[tex]\sigma = \frac{1}{2}[/tex]

[tex]\sigma = 0.5[/tex]

σ should be adjusted at 0.5.

Answer:

A.) y = 0.4x^(2) + 3.4x + 4

Step-by-step explanation:

x = -5

y = -3

Answer:

B. binomcdf(100, 0.5, 35)

Step-by-step explanation:

Binomcdf function:

The binomcdf function has the following syntax:

binomcdf(n,p,a)

In which n is the number of trials, p is the probability of a success in a trial and a is the number of sucesses.

35 or fewer heads come up when flipping a coin 100 times.

100 coins are flipped, which means that n = 100.

Equally as likely to be heads or tails, so p = 0.5

35 or fewer heads, so a = 35.

Then

binomcdf(n,p,a) = binomcdf(100,0.5,35)

The correct answer is given by option B.

Answer:

753.6 ft^2

Step-by-step explanation:

given:

radius=9 ft

height=13 ft

total surface area of cylinder=2πrh+2πr2

=2*3.14*9*13 + 2*3.14*(9)^2

=244.92 + 2*3.14*81

=244.92 + 508.68

=753.6 ft^2

Answer:

753.6 ft|2

Step-by-step explanation:

thanks correct me if you want.

Answer:

p = 5(8)(6.88)

p = $275.20

Answer

coochie man

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you have a square of side [tex]l[/tex], its diagonal would be [tex]l\sqrt{2}[/tex], and its area [tex]l^2[/tex]

If the big square has a area of 900, this implies that its side is [tex]\sqrt{900}[/tex], so the two diagonal of squares 2 and 4 added together would be [tex]\sqrt{900}[/tex], therefore one diagonal wold be [tex]\frac{\sqrt{900}}{2}[/tex]. and its side [tex]\frac{\sqrt{900}}{2}\frac{1}{\sqrt{2}}[/tex]. The area (of one square) is [tex](\frac{\sqrt{900}}{2}\frac{1}{\sqrt{2}})^2=\frac{225}{2}[/tex]

finally the two areas combined (squares 2 and 4) would be 225

Answer:

425

Step-by-step explanation:

I used help from the guy above me to find 2 and 4 so look at theirs for those. (Thank You). For 1 and 3. Each one is 1/9 of the big square. So each one is 1/9*900=100 100*2=200. And then we add 225+200=425.

Hope this helps :)

Answer:

A. 18,000in

Step-by-step explanation:

1,500 ×12=18,000

Respuesta:

10.0 minutos

Explicación paso a paso:

Distancia total recorrida caminando de C a A pasando por T:

500 yardas + 700 yardas = 1200 yardas

Tiempo necesario para recorrer 200 yardas = 14 minutos

Caminando directamente de C a A:

La distancia se puede obtener usando una relación trigonométrica:

Hipotenusa = √ (opuesto² + adyacente²)

Hipotenusa = √500² + 700²

Hipoteno = 860.23252 yardas

Por eso ; Si

1200 yardas = 14 minutos

860.23252 yardas = x

Multiplicar en cruz:

1200x = 12043,255

x = 12043,255 / 1200

x = 10.036 minutos

El tiempo necesario para caminar directamente será: 10.0 minutos

Answer:

12

Step-by-step explanation:

1) to calculate the length of RT (in ΔRST):

SR/sin60°=12√3 / (√3/2)=12.

2) in ΔQRT RT=RQ=x (the m∠T=m∠Q !), then x=12.

Answer:

b. (67.83, 68.17)

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.327\frac{1.5}{\sqrt{450}} = 0.17[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 68 - 0.17 = 67.83.

The upper end of the interval is the sample mean added to M. So it is 68 + 0.17 = 68.17.

This means that the correct answer is given by option B.

Answer:6

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find out the first three terms of 3n + 2 substitute 1 ,2 and 3 into the equation. 3(1)+2=5 3(2)+2=8 3(3)+2=11 As you can see the sequence goes up in 3s 5 ,8, 11 To find out the 10th term you also substitute 10 into the equation so 3(10)+2=32 Hope this helped!

answer is in photo above

Answer:

Step-by-step explanation:

3x^2 -2x -5=0

3x^2 -(5-3)x -5=0

3x^2 -5x +3x -5=0

x(3x -5)+1(3x -5)=0

(x+1)(3x-5)=0

either (x+1)=0           OR, (3x-5)=0

x+1=0

x=0-1

x=-1

3x-5=0

3x=0+5

x=5/3

x=-1, 5/3

Answer:

The approximate percentage of bad bushels was 8.17%.

Step-by-step explanation:

The percentage of bad bushels is given by the average number of bad bushels multiplied by 100 and divided by the average of bushels.

We have that:

Average number of bushels: 246.343

Average number of bad bushels: 20.12

The approximate percentage of bad bushels was

20.12*100%/246.343 = 8.17%

The approximate percentage of bad bushels was 8.17%.

Answer:

f(t) = -16t² + 36

Step-by-step explanation:

f(t) = a(t - h)² + k

This is vertex form where (h, k) is the (x, y) coordinate of the vertex

The vertex is give as (0, 36)

f(t) = a(t - 0)^2 + 36

f(t) =at² + 36

use point (1, 20) to find "a"

20 = a(1²) + 36

20 = a + 36

-16 = a

f(t) = -16t² + 36

Answer:

slope = 0

Step-by-step explanation:

Since the y- coordinates of both points are equal, both b

This indicates the line is horizontal and parallel to the x- axis

The slope of the x- axis is zero then the slope of the line is zero

Answer:

slope of the line is 0

Step-by-step explanation:

(a , b)=(x1 , y1)

(1/a , b)=(x2 , y2)

slope=y2 -y1/x2 -x1

=b-b/ 1/a -a

=0/1-[tex]a^{2}[/tex]/a

=0*a/1-[tex]a^{2}[/tex]

=0/1-[tex]a^{2}[/tex]

=0

Answer:

It's A because on b it says is she gets up after 6:00 she will not be late and that's wrong cause she will be

Answer:

a) 0.3 liters

b) 3 ÷ 10 = 0.3 liters

Step-by-step explanation:

3 ÷ 10

3 × 1/10

0.3

Answer:

5

Step-by-step explanation:

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Answer:

12

Step-by-step explanation:

1) 5+19−6(5+1−4)

2)5+19−6(6−4)

3)5+19−(6)(2)

4)5+19−12

5) 5+7

6) 12

Answer:

n = -4

Step-by-step explanation:

1. the sum of 5 and some number translates to 5 + x.

2. 5 + x is getting multiplied by 4, so the equation will then become 4(5 + n).

3. This entire equation is equal to 4, which we can see where the problem says "is four". In other words, four times the sum of 5 + n is equal to 4. 4(5 + n) = 4

4. Now you can solve the equation. When solved, the answer is n = -4

Answer:

y= -10

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

-17+y=-27

y=-27+17

y=-10

Answer:

g = 12

Step-by-step explanation:

g + 7 - 4 = 15

g = 15 - 3 = 12

Answer:

X y better because it has X and Y is no no

Answer:

3.99kg

Step-by-step explanation:

you can find it by 4kg minus 1 g that stills counts as rounding

Answer:

a) [tex]f(x) = \frac{1}{25.9}[/tex]

b) 0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

The probability density function of the uniform distribution is:

[tex]f(x) = \frac{1}{b-a}[/tex]

The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards.

This means that [tex]a = 284.7, b = 310.6[/tex].

a. Give a mathematical expression for the probability density function of driving distance.

[tex]f(x) = \frac{1}{b-a} = \frac{1}{310.6-284.7} = \frac{1}{25.9}[/tex]

b. What is the probability the driving distance for one of these golfers is less than 290 yards?

[tex]P(X < 290) = \frac{290 - 284.7}{310.6-284.7} = 0.2046[/tex]

0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards

Answer:

x = 7 , -1

Step-by-step explanation:

SOLUTION :-

[tex]4(x-3)^2-11 = 53[/tex]

[tex]=> 4(x-3)^2-11+11=53+11[/tex]

[tex]=> 4(x-3)^2 = 64[/tex]

[tex]=> \frac{4(x-3)^2}{4} = \frac{64}{4}[/tex]

[tex]=> (x-3)^2 = 16[/tex]

[tex]=> \sqrt{(x-3)^2} = \sqrt{16}[/tex]

[tex]=> x-3 = +4 \; or -4[/tex]

Here , x will have two values -

1) [tex]x-3 = 4[/tex]

[tex]=> x = 4 + 3 = 7[/tex]

2) [tex]x - 3 = -4[/tex]

[tex]=> x = -4 + 3 = -1[/tex]

VERIFICATION :-

When x = 7 ,

[tex]4(x-3)^2 - 11 = 4(7 - 3)^2 - 11[/tex]

                       [tex]= 4 \times 4^2 - 11[/tex]

                       [tex]= 4 \times 16 - 11[/tex]

                       [tex]= 64 - 11[/tex]

                       [tex]= 53[/tex]

When x = -1 ,

[tex]4(x-3)^2 - 11 = 4(-1 - 3)^2 - 11[/tex]

                       [tex]= 4 \times (-4)^2 - 11[/tex]

                       [tex]= 4 \times 16 - 11[/tex]

                       [tex]= 64 - 11[/tex]

                       [tex]= 53[/tex]