First, rewrite 17/25 and 7/10
so that they have a common denominator.

Answer:

Over

Step-by-step explanation:

Answer:

A) 79.08%

B) 5.55%

C)p = 1/3 is more appropriate than p = 0.1

Step-by-step explanation:

This is a binomial probability distribution problem, so we will use the formula;

P(k) = (n!/(k!(n - k)!) × p^(k) × (1 - p)^(n-k)

We want to Compare the probability of observing 4 or more abused women in a sample of 15 if p = 1/3 = 0.3333 and the probability of observing 4 or more abused women in a sample of 15 if p = 0.10

Thus;

P(X ≥ 4) = P(4) + P(5) + P(6) + P(7) + P(8) + P(9) + P(10) + (P(11) + P(12) + P(13) + P(14) + P(15)

A) Thus at p = 0.3333;

P(4) = (15!/(4!(15 - 4)!) × 0.3333^(4) × (1 - 0.3333)^(15-4) = 0.1949

P(5) = (15!/(5!(15 - 5)!) × 0.3333^(5) × (1 - 0.3333)^(15-5) = 0.2143

Using online binomial probability calculator we can get the remaining values which are;

P(6) = 0.1786

P(7) = 0.1148

P(8) = 0.0574

P(9) = 0.0223

P(10) = 0.0067

P(11) = 0.0015

P(12) = 0.0003

P(13) = 0.0000

P(14) = 0.0000

P(15) = 0.0000

Thus;

P(X ≥ 4) = 0.1949 + 0.2143 + 0.1786 + 0.1148 + 0.0574 + 0.0223 + 0.0067 + 0.0015 + 0.0003 + 0 + 0 + 0 = 0.7908 = 79.08%

B) Now,for p = 0.1 and Using online binomial probability calculator, we have;

P(4) = 0.0428

P(5) = 0.0105

P(6) = 0.0019

P(7) = 0.0003

P(8) = 0.0000

P(9) = 0.0000

P(10) = 0.0000

P(11) = 0.0000

P(12) = 0.0000

P(13) = 0.0000

P(14) = 0.0000

P(15) = 0.0000

P(X ≥ 4) = 0.0428 + 0.0105 + 0.0019 + 0.0003 + 0.0000 + 0.0000 + 0.0000 + 0.0000 + 0.0000 + 0.0000 + 0.0000 + 0.0000 = 0.0555 = 5.55%

C) Comparing both Probabilities, 79.08% is far higher than 5.55%. Thus we can say that p = 1/3 is more appropriate than p = 0.1

Answer:

Since the taxis are heading directly towards each other, we will assume the path between them to be a straight line

We have 2 taxis coming towards each other, which means that we have 2 observers in this system

so from now on, we will see this situation from the eyes of the driver coming at the speed of 40mph

Now imagine yourself in a car. if you are in a moving car, a tree outside will look like it is moving in the opposite direction and it will be doing so at the same speed as the speed of your car and we will always feel like we are at rest

so, we can say that when we are in a car, the objects coming towards us will have our car's velocity added to their velocity, as in the above case, the speed of the tree is 0mph and your speed is v mph, which causes the tree to move back at a velocity of v mph

Now, back to the question. we are in a car moving at a speed of 40 mph and there is a car coming towards us is moving at a speed of 27 mph

If we look at the situation from the eyes of the driver of the car moving at a velocity 40 mph,

he is at rest and the other car is moving at a velocity of (40 + 27) = 67 mph

So, from the frame of reference of the 40mph driver, the other car is moving at 67 mph and the time taken by a car moving at 67 mph to cover 7 miles is the time in which the taxis will meet

Hence, time taken by a 67 mph car to cover 7 miles

time = distance / speed

time = 7 / 67

time = 0.1 hour (approx) or 6 minutes

Therefore, the taxis will meet after 6 minutes

Answer:

Step-by-step explanation:

in a triangle, the sum of all angles is 180 (angle sum theorem). so use the equation 180=50+80+10x. then solve

1. combine like terms

it becomes 180=130+10x

2. subtract 130 from both sides

it becomes 50=10x

3. divide both sides by 10

it becomes 5=x

so, x=5

hope this helped :)

Answer:

8+y

Step-by-step explanation:

Sum means that you are adding the constant 8 and the variable y.

Hope this helps!!

Answer:

8 + y

Step-by-step explanation:

"sum" means you are performing addition or adding two quantities/values together

Therefore, the "sum" of "8 and y" is just adding 8 and y together

You just put a plus sign between 8 and y to add them together, so you get 8 + y.

Hope this helps!

:)  

Answer:

amusing you mean 3x^2-8x-16 the answer is when x is equal to -4/3 and 4

Step-by-step explanation:

3x^2-8x-16 ------> (3x+4)(x-4)

3x+4=0 ----> 3x=-4 ----> x=-4/3

x-4=0 ----> x=4

Answer:

Huh now?

Step-by-step explanation:

I am sorry but I do not understand

Answer:

124 boys and 161 girls

Step-by-step explanation:

There are 285 students total. Divide 285 by 2, you get 142.5. Since you can't have half a student, lets round it up to 143. Now, there are 19 more girls than guys, so you would subtract 19 from 143. When you do that, (143-19) you get 124. Then you take 285 and subtract 124. You get 161.

Hope this is correct!

Answer:

4

Step-by-step explanation:

44

Answer:

[tex]{\huge{\pink{\underline{\underline{Question:}}}}}[/tex]

Write 64 as a product of primes.

Use index notation where appropriate.

[tex]{\huge{\pink{\underline{\underline{Solution:}}}}}[/tex]

[tex]Prime\ no.\ is\ 2[/tex]

Factorisation of 64=2×2×2×2×2×2

[tex]{2}^{6} [/tex]

Answer:

the probability the car was actually blue as claimed by the witness is 33.33%. This is a low percentage and thus, there is a reasonable doubt about the guilt of the client.

Step-by-step explanation:

We are given;

P(car is blue) = 1% = 0.01

P(car is green) = 99% = 0.99

P(witness said blue | car is blue) = 99% = 0.99

P(witness said blue | car is green) = 2% = 0.02

We will solve this by using Bayes’ formula for inverting conditional probabilities:

Thus;

P(car is blue | witness said blue) =

[P(witness said blue | car is blue) × P(car is blue)] / [(P(witness said blue | car is blue) × P(car is blue)) + (P(witness said blue | car is green) × P(car is green))]

Plugging in the relevant values gives;

(0.99 × 0.01)/((0.99 × 0.01) + (0.02 × 0.99)) = 0.3333

Thus, the probability the car was actually blue as claimed by the witness is 0.3333 or 33.33%

Answer:

$407.50

Step-by-step explanation:

take 9.75 × 17=165.75

take 9.75 × 25=243.75

add 165.75 and 243.75=407.50

turn into dollars $407.50

Answer:

y= -1/2 x + 1

Step-by-step explanation:

The line passes through point (0, 1) and is perpendicular to line with equation :

y=2x

Perpendicular lines are those that give -1 when the product of their slopes is calculated.

This means m₁ *m₂= -1

In this case, m₁=2, finding m₂ as;

m₁ * m₂ = -1

2  * m₂ = -1

      m₂ = -1/2

Using point  (0, 1),m₂ = -1/2, and imaginary line (x, y) then the equation of the line in slope-intercept form y= mx + b will be;

-1/2 = y-1/x-0

-1/2 x = y-1

1-1/2x = y

The equation will be ;

y= -1/2 x + 1

Answer:

No, all you are doing is ordering them from least to greatest value. Your answer would be C.

Step-by-step explanation:

Answer:

danggg them fifth graders are gonna break there head

Step-by-step explanation:

Answer:

the price is 46.25 dollars

Step-by-step explanation:

Answer:

The sample size is  [tex]n =33[/tex]

Step-by-step explanation:

From the question we are told that

  The margin of error is E  =  1.5 seconds

   The standard deviation is  s =  4 seconds

 Given that the confidence level is 97% then the level of significance is mathematically represented as

      [tex]\alpha =( 100 -97)\%[/tex]

=>   [tex]\alpha = 0.03[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  2.17[/tex]

Generally the sample size is mathematically represented as

    [tex]n =[ \frac{Z_{\frac{\sigma }{2 } } * \sigma }{E} ]^2[/tex]

=> [tex]n =[ \frac{2.17 * 4 }{1.5} ]^2[/tex]

=>  [tex]n =33[/tex]

Answer:

13

Step-by-step explanation:

4+(-3)-2*(-6)

4-3-2*-6

1-(-12)

1+12

13

Answer: 13

Step-by-step explanation:

I Had The Same Problem So Try And Its Gonna Be Right.

Answer:

5²×2³×3

Step-by-step explanation:

600=5×5×2×3×2×2

In index form this would be 5²×2³×3

Answer:

-12 feet represents the least feet and the farthest from sea level.

Step-by-step explanation:

Answer:

Reflection about the y axis followed by a translation left by 2 units.

Step-by-step explanation:

There is the answer. ^

Answer:

457657657.2

Step-by-step explanation:

(762762762/5)*3=457657657.2 miles

Answer:

1

Step-by-step explanation:

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

f(-3/5)=3-2

f(-3/5)= 1

Answer:

what

Step-by-step explanation:

Answer:

g(x) = - x² - 4 ⇒ A

Step-by-step explanation:

Let us revise the reflection and translation of a function

f(x) = x² is the blue curve

g(x) is its image is the red curve

∵ g(x) is the image of f(x)

∵ f(x) is opened upward

∵ g(x) is opened downward

→ That means the sign of y-coordinates of all points on the blue

   graph are opposite

∴ f(x) is reflected about the x-axis

∴ Its image is - f(x)

∵ The vertex of f(x) is (0, 0)

∵ The vertex of g(x) = (0, -4)

→ That means the function translated 4 units down

∴ - f(x) is translated 4 units down

∴ Its image is - f(x) - 4

∴ g(x) = - f(x) - 4

∵ f(x) = x²

∴ g(x) = - x² - 4

Answer:

It is A

Step-by-step explanation:

Answer:

x = 3.4

Step-by-step explanation:

First start by subtracting 4.2 from both sides and getting .5x = 1.7. Now divide by .5 on both sides. Dividing by .5 is really the same as multiplying by 2, so you get x = 3.4.

Answer:

3.4

Step-by-step explanation:

I did this and got it right

Answer:

Step-by-step explanation:

-5 is a real number, right ?

- (-5) = 5 is not negative

thanks

Answer:

A

Step-by-step explanation:

based on exonent rule (#^x)^y=#^xy

Answer:

Its option B, because exponents add when the problem is based on multiplication.