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diamong
6 days ago
13

When Sophia runs the 400 meter dash, her finishing times are normally distributed with a mean of 75 seconds and a standard devia

tion of 1.1 second. What probability of races will her finishing time be between 74.2 and 76.4 seconds?
Mathematics
1 answer:
babunello [11.2K]6 days ago
3 0
I honestly don’t know the answer; I’m quite confused.
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The table below represents a function. x 1 2 3 4 5 y 1 16 64 256 1,024 Which statement would best describe the graph of the func
AnnZ [11888]
<span>A table representing a function is provided below.
x    1    2    3    4    5
y    1   16  64 256 1,024

According to the data in the table, from x = 2, the value of y can be represented as
y=4^x
which is equivalent to
4^2=16 \\ 4^3=64 \\ 4^4=256 \\ 4^5=1,024
This indicates an exponential function.

Thus, the </span><span>most accurate description of the function's graph is: "The graph initially appears flat but ascends sharply."</span>
5 0
1 month ago
Read 2 more answers
Box 1: Dimensions: x by 3x by x3 Area of base = x(3x) = 3x2 Box 2: Dimensions: x by 4x – 1 by x3 Area of base = x(4x – 1) = 4x2
Inessa [12125]

Answer:

box 1: monomial

box 2: binomial

Step-by-step explanation:

rationale: The volume of Box 1 is represented by a monomial multiplied by another monomial, resulting in a monomial.

Conversely, the volume of Box 2 is represented by a monomial multiplied by a binomial, producing a binomial.

4 0
21 day ago
Read 2 more answers
In 2010, Rafik bought a house. In 2015, Rafik sold the house to Bianca. He made a 20% profit on the sale. In 2019, Bianca sold t
zzz [11812]

Answer:

£170,000

Step-by-step explanation:

En 2010, Rafik adquirió una casa. Supongamos que el precio de compra fue $x. En 2015, Rafik vendió la casa a Bianca obteniendo un 20% de ganancia. Esto se traduce en 20% de x lo que equivale a 0.2 × x = 0.2x. Por tanto, Rafik vendió la casa a Bianca por x + 0.2x = 1.2x. Bianca compró la casa a 1.2x.

La casa fue vendida por Bianca en 2019 con una pérdida del 5%. Esto implica que el 5% de pérdida equivale a 0.05(1.2x) = 0.06x.

Por consiguiente, la venta de la casa por Bianca se realizó a 1.2x - 0.06x = 1.14x. Dado que la casa se vendió por £193,800.

⇒ 1.14x = 193,800

x = 193,800/1.14

x = £170,000

Rafik pagó £170,000 por la casa en 2010.

7 0
1 month ago
Question 1(Multiple Choice Worth 2 points)
babunello [11295]
Here are 3 questions with their respective answers.

1) Find


\lim_{x \to \ 2^+} f(x)

Answer: 4.

Explanation:

This expression indicates the limit as the function f(x) approaches 2 from the right side.

You should apply the function (the line) from the right side of 2 and get as close to x = 2 as you can.

That line has an open circle at y = 4, which is the limit we are looking for.

2) Analyze the graph to see if the limit exists.

Answer:

\lim_{x \to \ 2^-} f(x) = 3

\lim_{x \to \ 2^+} f(x)=-3

To find each limit, utilize the function approaching from the direction of x.

It's important to note that since the two limits differ, it is concluded that the limit of the function as x approaches 2 does not exist.

3)
Answer: -1


\lim_{x \to \ 3^-} f(x) = -1

To determine the limit as the function approaches 3 from the left, follow the line ending with an open circle at (3, -1).

Hence, the limit is -1.
5 0
1 month ago
Read 2 more answers
Which shows one way to determine the factors of 4x3 + x2 – 8x – 2 by grouping?
Zina [11953]
Begin by grouping the first two terms together and the last two together, then factor and redistribute

(4x^3+x^2)+(-8x-2)
(x^2)(4x+1)+(-2)(4x+1)
x^2(4x+1)-2(4x+1)
the answer is the first one

6 0
10 days ago
Read 2 more answers
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