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Aleks [24]
2 years ago
10

19. Charlotte has a success rate of about 20%

Mathematics
1 answer:
aksik [14]2 years ago
4 0

Answer:

P(x \ge 5) = 0.60

Step-by-step explanation:

Given

S = \{5, 2, 7, 2, 3, 4, 10, 6,4,6,3, 6, 6, 4, 8,5,7,7,1,5\}

n(S) = 20

Required

P(x \ge 5)

First, we count the number of trials that are at least 5

x = \{5, 7,  10, 6,6, 6, 6, 8,5,7,7,5\}

So, we have:

n(x \ge 5) = 12

So, we have:

P(x \ge 5) = \frac{n(x \ge 5)}{n(S)}

This gives

P(x \ge 5) = \frac{12}{20}

P(x \ge 5) = 0.60

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Max drives 105 miles per week. If he drives an equal number of miles each day, then how many miles will max drive in a 30 day mo
SIZIF [17.4K]

Answer:

350 miles

Step-by-step explanation:

if max drives 105 miles per week

you should first find out how many miles max drives per day.

there are 7 days in a week so :

105 ÷ 7 = 15

so for 30 days max will drive 15 × 30 = 350 miles

1 day : 15 miles

30 days : 350 miles

8 0
2 years ago
The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents g(x)?
Alenkinab [10]

For this case, the parent function is given by:

f (x) = x ^ 2

We apply the following transformations:


Vertical translations:

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units upwards:

For k = 9 we have:

h (x) = x ^ 2 + 9


Horizontal translations:

Suppose that h> 0

To graph y = f (x-h), move the graph of h units to the right

For h = 4 we have:

g (x) = (x-4) ^ 2 + 9

Answer:

The function g (x) is given by:

g (x) = (x-4) ^ 2 + 9

7 0
3 years ago
Read 2 more answers
Find the value of c that makes x^2–6x + c a perfect square trinomial and write as a binomial squared.
denpristay [2]

Answer: 9

Step-by-step explanation:

Given

The function is x^2-6x+c

To make it a perfect square, compare it with (a-b)^2=a^2+b^2-2ab

Here,

x=a,\\-6x=-2ab\\\\\therefore b=3

So, c must be square of b i.e. 9

x^2-6x+c\Rightarrow x^2-6x+9\\\Rightarrow (x-3)^2

Therefore, value of c is 9.

3 0
3 years ago
Which set of data is correct for the quadratic relation f(x) = 5(x -
Burka [1]

Answer:

Direction parabola opens upward.

Vertex of parabola is (27,-9).

Axis of symmetry is x=27.

Step-by-step explanation:

Note: Option sets are not correct.  

The vertex form of a parabola is

y=a(x-h)^2+k    ...(1)

where, (h,k) is vertex and x=h is the axis of symmetry.

If a<0, then parabola opens downward and if a>0, then parabola opens upward.

The given function is

f(x)=5(x-27)^2-9     ...(2)

On comparing (1) and (2), we get

a=5>0, so direction parabola opens upward.

h=27,k=-9, so vertex of parabola is (27,-9).

So, axis of symmetry is x=27.

6 0
3 years ago
The sum of two consecutive even integers is 106. What are the integers?
Kruka [31]

Answer:

The integers are 52 and 54

Step-by-step explanation:

x = first even integer

x + 2 = next integer that is even

x + x + 2 = 106

2x + 2 = 106

2x = 104

x = 52

x + 2 = 54

4 0
2 years ago
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