2 questions for math​

Answer:

a) 0.1038 = 10.38% probability that maximum speed is at most 49 km/h

b) 0.2451 = 24.51% probability that maximum speed is at least 48 km/h

c) 0.9876 = 98.76% probability that maximum speed differs from the mean value by at most 2.5 standard deviations

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean value 46.8 km/h and standard deviation 1.75 km/h.

This means that [tex]\mu = 46.8, \sigma = 1.75[/tex]

a. What is the probability that maximum speed is at most 49 km/h?

This is the pvalue of Z when X = 49. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{49 - 46.8}{1.75}[/tex]

[tex]Z = 1.26[/tex]

[tex]Z = 1.26[/tex] has a pvalue of 0.8962

1 - 0.8962 = 0.1038

0.1038 = 10.38% probability that maximum speed is at most 49 km/h.

b. What is the probability that maximum speed is at least 48 km/h?

This is 1 subtracted by the pvalue of Z when X = 48. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{48 - 46.8}{1.75}[/tex]

[tex]Z = 0.69[/tex]

[tex]Z = 0.69[/tex] has a pvalue of 0.7549

1 - 0.7549 = 0.2451

0.2451 = 24.51% probability that maximum speed is at least 48 km/h.

c. What is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations?

Zscores between Z = -2.5 and Z = 2.5, which is the pvalue of Z = 2.5 subtracted by the pvalue of Z = -2.5

Z = 2.5 has a pvalue of 0.9938

Z = -2.5 has a pvalue of 0.0062

0.9938 - 0.0062 = 0.9876

0.9876 = 98.76% probability that maximum speed differs from the mean value by at most 2.5 standard deviations

Step-by-step explanation:

P(A) = 5/24

P(B|A) = 5/23

(5/24)(5/23) = 25/552

Answer:

f(-5) = 13

Step-by-step explanation:

Substitute x with -5

f(-5) = -3 (-5) - 2

=> 15 - 2

=> 13

hope this helps and is right. p.s. i really need brainliest :)

if this is wrong then I am incredibly sorry!

Answer:

b = 33m is the answer

Step-by-step explanation:

a = 44m

b = ?

c = 55m

According to the Pythagoras theorem,

a² + b² = c²

44² + b² = 55²

1936 + b² = 3025

b² = 3025 - 1936

b² = 1089

b = 33m

∴ b = 33m is the length of the missing leg.

Answer:

160%

Step-by-step explanation:

(65 - 25 )/25  x 100% = 160%

Answer:

10.5 meter sqaured

Step-by-step explanation:

Answer:

Answer is 10.5 meters squared

Step-by-step explanation:

Answer:

B import food from other countries

Answer:

x = 3

m<m = 114°

m<n = 66°

Step-by-step explanation:

✔️Opposite angles of a parallelogram are always congruent to each other.

Therefore:

m<m = 114°

m<n = 66°

✔️Opposite sides of a parallelogram are also congruent. This implies that:

7x - 3 = 4x + 6

Collect like terms

7x - 4x = 3 + 6

3x = 9

Divide both sides by 3

3x/3 = 9/3

x = 3

Answer:

1/4, 1/2, .67, 3/4, 7/8, 1.78, 3.2, 6, 9

Answer:

A: 9, 3.2, 1.78, 0.67

B: 6, 7/8, 3/4, 1/2, 1/4

all together 9, 6, 3.2, 1.78, 7/8, 3/4, 0.67, 1/2, 1/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

The chord and the segment between the centers form the diagonals of a kite with each pair of side being the radius of the circles.

As we know the long diagonal bisects the shorter one and they are perpendicular.

Using Pythagorean, lets find the distance between the center of a greater circle and the chord:

The distance from the center of smaller circle and the chord is:

Now using Pythagorean again, find the radius of the smaller circle:

Answer:

I belive the answer is 1380.

7+5^2.4

=7+47.591348

=54.591348

Answer: 7 + 5^ 2 . 4= 107 if you evaluate sorry if i am wrong

Step-by-step explanation:

Answer:

Step-by-step explanation:

there are 52 cards in a deck, there are 4 aces. This would create a fraction of 4/52. (using the probaility set up of what I want over the total of everything). I hope this helps!

Answer:

96

Step-by-step explanation: because you need to multiply 16 and 6 and when you multiply them you will get 96

The surface area of 128 square inches.

The total surface area of a three-dimensional form is the sum of all the surfaces on each side.

Given the area of the base of the square prism is 16 inches. so each side of the base is 4 inches. and the height is given 6 inches.

hence, surface area of the given square prism = 2(area of base + 2 * area of one side)

area of one side = 4* 6 = 24

so, surface area of square prism = 2 (16 + 2 * 24) = 128 square inches

Therefore, 128 square inches is the surface area of the square prism.

Learn more about the Surface area here:

https://brainly.com/question/10026601

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Answer:$3570

Step-by-step explanation:

42000x0.035=1470

2100+1470=3570

Answer:

120

Step-by-step explanation:

since its a right-angled triangle you will use the formula:1/2 of the base × height

Answer:

[tex]120^{2}[/tex]

Step-by-step explanation:

Heron's formula

(for every triangle, you can use this same formula. just change the value of the letters)

a = 26

b = 10

c = 24

s = area

S = [tex]\sqrt{s(s - a)(s - b)(s - c)}[/tex]

S =  [tex]\frac{(a+b+c)}{2}[/tex]

Answer:  31.5

Step-by-step explanation:

Fiest the formula of a triange is : b times h/2

B=3.5, H=18

3.5 times 18 divided by 2=  31.5

Since it aks for the area of only one triangle it will be 31.5!

I hope this helps and may God bless you! Have a nice day, bye!

Answer:

6.99 rounded up to 7 :))

Step-by-step explanation:

1/3 = 0.33

2.33 * 3 = 6.99 ft

A quadratic equation is written in the form of ax²+bx+c. The roots of the given quadratic equation are shown in options B and F.

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

The roots of a quadratic equation can be found using the formula,

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

Given the quadratic equation 3x²-x+5 = 0. Comparing it with the general quadratic equation the value of a, b, and c will be 3, -1, and 5.

Now, if we substitute the values in the formula of the roots of the quadratic equation,

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4(3)(5)}}{2(3)}\\\\[/tex]

x = (1±√-59)/6

x = (1+√-59)/6, (1-√-59)/6

Hence, the roots of the given quadratic equation are shown in options B and F.

Learn more about Quadratic Equations here:

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Answer:

75 DVDs

Step-by-step explanation:

Unit rate: 1/5

1 week

5 dvds

15*5= 75

he has 75 dvds after 15 weeks :)

Answer:

Here

Step-by-step explanation:

Answer:

how fast is he running???

Answer:

127

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The researcher did no prediction or any (possible)

Hope this helps :)

Answer: 45/53

Step-by-step explanation:

CAH is Adjacent over Hypotenuse

Answer:

46 ≤ n ≤ 60   ( C )

Step-by-step explanation:

using the given null hypothesis to check if the samples differ from originally values

given that:  frequency ( f ) ≥ 5

N = 600

hence : n * 0.11 ≥ 5

therefore : n ≥ 45.45

next : also  n / N ≤ 0. 10

therefore: n  ≤  0.1 * 600

therefore all possible sizes will lie between  

46≤n≤60

Answer:

mean means average so I think i should have first add all the numbers then divide by the number of the numbers I think that's the method if you don't see it correct then it's alright but I believe it's correct.

Answer:

::::::::::::::::

B. 900 km/h