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melomori [17]
4 years ago
6

How many times greater is the value of the 5 in 150,740 than the value of the 5 in 10,452?

Mathematics
1 answer:
marin [14]4 years ago
8 0

5 your welcome ☺️☺️☺️☺️☺️☺️☺️

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Please help with 1-6
Debora [2.8K]

Answer:

1.) 3

2.) 5

3.) 4

4.) 10

5.) 9

6.) 7


5 0
3 years ago
Read 2 more answers
Find the probability that the senator was in the Democratic party, given that the senator was returning to office.
shutvik [7]

Answer:

The probability that the senator was in the Democratic party, given that the senator was returning to office is 0.4715.

Step-by-step explanation:

The complete question is:

Sophia made the following two-way table categorizing the US senators in 2015 by their political party and whether or not it was their first term in the senate.

                   Democratic         Republican         Independent        Total

First Term           11                          28                        11                     50

Returning           33                         26                        11                     70

Total                   44                         54                        22                  120

Find the probability that the senator was in the Democratic party, given that the senator was returning to office.

Solution:

The conditional probability of an event <em>A</em> given that another event <em>X</em> has already occurred is given by:

P(A|X)=\frac{P(A\cap X)}{P(X)}

The probability of an event <em>E</em> is given by the ratio of the number of favorable outcomes to the total number of outcomes.

P(E)=\frac{n(E)}{N}

Compute the probability of selecting an US senator who is a Democratic and was returning to office as follows:

P(D\cap R)=\frac{33}{120}=0.275

Compute the probability of selecting an US senator who was returning to office as follows:

P(R)=\frac{70}{120}=0.5833

Compute the conditional probability, P (D | R) as follows:

P(D|R)=\frac{P(D\cap R)}{P(R)}

            =\frac{0.275}{0.5833}\\\\=0.4714555\\\\\approx 0.4715

Thus, the probability that the senator was in the Democratic party, given that the senator was returning to office is 0.4715.

4 0
3 years ago
Read 2 more answers
What are the solutions of the quadratic equation 0 = 4(x - 3)2 - 16?
erastovalidia [21]

Answer:

 x = 5, x = 1

Step-by-step explanation:

The quadratic equation 0 = 4(x - 3)2 - 16.

Using binomial theorem, (a - b)2 = a2 - 2ab + b2 to expand (x - 3)2.

0 = 4(x2 - 6x + 9 ) - 16.

Using distributive property to multiply 4 by x2 - 6x + 9.

0 = 4x2 - 24x + 36 - 16.

Subtract 16 from 36 to get 20.

0 = 4x2 - 24x + 20.

4x2 - 24x + 20 = 0.

Divide both sides by 4.

x2 - 6x + 5 = 0.

To solve the equation, factor and rewrite as x2 + ax + bx + 5

a + b = -6, ab = 1(5) = 5.

a = -5, b = -1.

Rewriting x2 - 6x + 5 as

(x2 - 5x) + (-x + 5)

Factor x in the first and -1 in the second group.

x(x - 5) - (x - 5)

Factor out common term

(x - 5)(x - 1)

By solving the above, we get

x = 5, x = 1

8 0
2 years ago
What is the equivalent expression to 3(x-5)
elena-s [515]

<em>Answer: x = 5</em>

<em>Step-by-step explanation:</em>

<em>multiply the outside number to both numbers in parenthesis</em>

<em>3x-15  divide</em>

<em> find out how many time 3 goes into 15 and divide  </em>

<em>three divided by fifteen equals five</em>

<em></em>

6 0
4 years ago
How do i find an I Q R ?
Scrat [10]

Answer:

Sorry if this doesn't help:

Step-by-step explanation:

1, Order the data from least to greatest.

2, Find the median.

3, Calculate the median of both the lower and upper half of the data.

4, The IQR is the difference between the upper and lower medians.

Good luck!

3 0
3 years ago
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