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frez [133]
3 years ago
13

Exactly 15% of the students in a school have blonde hair forty students are randomly selected to determine the probability that

at least five students have blonde hair should a binomial probability density function or a cumulative distribution function be used
Mathematics
1 answer:
Llana [10]3 years ago
8 0

Answer: the correct answer was- A binomial cumulative distribution function should be used because the question asks for determining the probability that at least five students have blonde hair.

i got this question right

Step-by-step explanation:

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The ratio of girls to boys in a running club was 3:5. There were 15 girls. How many total members were there in total?
AlexFokin [52]

Answer:

40

Step-by-step explanation:

The number of girls is represented by 3 parts of the ratio.

Divide number of girls by 3 to find value of one part of ratio.

\frac{15}{3} = 5 ← value of 1 part of ratio, thus

5 parts = 5 × 5 = 25 ← number of boys

Total members = 15 + 25 = 40

5 0
3 years ago
Suppose h(x)=3x-2 and j(x) = ax +b. Find a relationship between a and b such that h(j(x)) = j(h(x))
sergejj [24]

Answer:

\displaystyle a = \frac{1}{3} \text{ and } b = \frac{2}{3}

Step-by-step explanation:

We can use the definition of inverse functions. Recall that if two functions, <em>f</em> and <em>g</em> are inverses, then:

\displaystyle f(g(x)) = g(f(x)) = x

So, we can let <em>j</em> be the inverse function of <em>h</em>.

Function <em>h</em> is given by:

\displaystyle h(x) = y = 3x-2

Find its inverse. Flip variables:

x = 3y - 2

Solve for <em>y. </em>Add:

\displaystyle x + 2 = 3y

Hence:

\displaystyle h^{-1}(x) = j(x) = \frac{x+2}{3} = \frac{1}{3} x + \frac{2}{3}

Therefore, <em>a</em> = 1/3 and <em>b</em> = 2/3.

We can verify our solution:

\displaystyle \begin{aligned} h(j(x)) &= h\left( \frac{1}{3} x + \frac{2}{3}\right) \\ \\ &= 3\left(\frac{1}{3}x + \frac{2}{3}\right) -2 \\ \\ &= (x + 2) -2 \\ \\ &= x \end{aligned}

And:

\displaystyle \begin{aligned} j(h(x)) &= j\left(3x-2\right) \\ \\ &= \frac{1}{3}\left( 3x-2\right)+\frac{2}{3} \\ \\ &=\left( x- \frac{2}{3}\right) + \frac{2}{3} \\ \\ &= x  \stackrel{\checkmark}{=} x\end{aligned}

3 0
2 years ago
Christina must run around the rectangular soccer field during practice. The football field It measures 60 meters long by 45 mete
Reika [66]

Answer:

210 meters

Step-by-step explanation:

4 0
3 years ago
Solve the inequality 2x + 8 &lt; 5x − 4.
Jobisdone [24]

The answer should be X>4

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :  

                    2*x+8-(5*x-4)<0  

Step by step solution :

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  -3x + 12  =   -3 • (x - 4)  

Equation at the end of step  1  :

Step  2  :

2.1    Divide both sides by  -3  

Remember to flip the inequality sign:  

Solve Basic Inequality :

2.2      Add  4  to both sides

            x > 4


3 0
3 years ago
Can someone help me with this question?
Anon25 [30]
1/10 x 90  I think that's the answer



4 0
3 years ago
Read 2 more answers
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