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3 years ago

The distance between two cities is 450 miles. On a map, they are 9 inches apart. What is the scale of the map?

Mathematics

1 answer:

nasty-shy [4]3 years ago

7 0

Answer:

1 inch=50 miles

Step-by-step explanation:

450÷9=50

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Suppose that 10 fair coins are tossed. Find the numbers of ways of obtaining exactly 1 heads. Round the answer to the nearest wh

Delicious77 [7]

Answer: 10

Step-by-step explanation:

Given : Total number of coins tossed = 10

Possible outcomes to toss a coin = Head or tail

Number of possible outcomes = $2^{10}=1024$

Number of ways of obtaining exactly 1 heads = ${10}C_1=\dfrac{10!}{1!9!}$ [using combinations $^nC_r=\dfrac{n!}{r!(n-r)!}$ ]

=10

Hence, the numbers of ways of obtaining exactly 1 heads= 10

4 0

4 years ago

Reduce the following fraction: -32abc/64a^2bc^2

mafiozo [28]

Answer:

$-\dfrac{1}{2ac}$

Step-by-step explanation:

Given:

$\dfrac{-32abc}{64a^2bc^2}$

Reduce this fraction.

Work with numbers and different letters separately:

1. Numbers:

$\dfrac{-32}{64}=-\dfrac{32}{32\cdot 2}=-\dfrac{1}{2}$

2. Letter a:

$\dfrac{a}{a^2}=\dfrac{a}{a\cdot a}=\dfrac{1}{a}$

3. Letter b:

$\dfrac{b}b}=1$

4. Letter c:

$\dfrac{c}{c^2}=\dfrac{c}{c\cdot c}=\dfrac{1}{c}$

Hence,

$\dfrac{-32abc}{64a^2bc^2}=-\dfrac{1}{2}\cdot \dfrac{1}{a}\cdot \dfrac{1}{c}=-\dfrac{1}{2ac}$

5 0

4 years ago

Read 2 more answers

On what interval is the function h(x) = |x − 5| + 2 increasing?

lilavasa [31]

Answer:

Step-by-step explanation:

This is an absolute value function, and since it is positive, it will decrease to its point as it comes in from the left and then increase from its point as it goes on to the right. The vertex of this function sits at (5, 2). This means that the function is increasing from an x value of 5 all the way up to infinity.

4 0

4 years ago

What is 2 integers of 128

Viktor [21]

Its in the tenths place if thats what your asking

4 0

3 years ago

What is the probability that the test is positive for a randomly chosen person from this population? (Enter your answer to five

iren2701 [21]

Answer:

0.01260

Step-by-step explanation:

Data:

probability of population with cancer (positive) = 0.21

probability of population with cancer (negative) = 0.79

probability of population with cancer absent (positive) = 0.06

probability of population with cancer absent (negative) = 0.94

probility for positive test = P( cancer (positive)) × P ( cancer absent (positive)

= $= (0.21) * (0.06)\\= 0.01260$

3 0

3 years ago