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9 days ago

About 400,000 people visited an art museum in December. What could be the exact number of people who visited the art museum

Mathematics

2 answers:

tester [3.9K]9 days ago

8 0

The precise answer is 359,572.

AnnZ [3.8K]9 days ago

3 0

Answer:

It ranges from 350,000 to 449,000.

Step-by-step explanation:

Here, the given figure is

400,000.

The number is rounded to 400,000 when it falls between 350,000 and 449,000, including both endpoints.

Specifically, numbers that have 3 in the hundred-thousand place are rounded to 400,000 when the ten-thousand digit is 5 or greater.

Conversely, if a number has 4 in the hundred-thousand place, it rounds to 400,000 with a ten-thousand digit less than 5.

Therefore, the possible exact count of museum visitors would range:

From 350,000 to 449,000.

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Which number can each term of the equation be multiplied by to eliminate the fractions before solving? m – negative StartFractio

zzz [4022]

Answer: To remove fractions prior to solving, each term in the equation must be multiplied by $4$ .

Step-by-step explanation:

Consider the given expression:

$-\frac{3}{4}m-\frac{1}{2}=2+\frac{1}{4}m$

It is essential to simplify this before attempting to solve it.

Since the denominators differ, identifying the Least Common Denominator (LCD) is necessary.

Break down the denominators into their prime components:

$4=2*2=2^2\\2=2$

Select $2^2$ , as it possesses the greatest exponent. Thus:

$LCD=2^2=4$

Ultimately, to remove the fractions before solving, multiply both sides by 4:

$(4)(-\frac{3}{4}m)-(4)(\frac{1}{2})=(4)(2)+(4)(\frac{1}{4}m)\\\\-3m-2=8+m$

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1 day ago

Isaac is purchasing two pairs of shoes—one pair for $37.00 and the second pair for $42.00. The state sales tax applied to Isaac’

tester [3916]

Respuesta:

El total de la factura de Isaac es $84.53

Explicación detallada:

$37.00 + $42.00 = $79.00 < b (factura)

b + t (impuesto sobre ventas) = c (costo total)

(7%/100 = 0.07)

(0.07 * 79 = 5.53)

(t = $5.53)

$79.00 + $5.53 = $84.53

¡Buena suerte!

6 0

3 days ago

Read 2 more answers

A salesperson earns $8 per hour plus 6% commission on her sales. In a week when she worked 40 hours, her total earnings were $69

Zina [3914]

Answer:

6216.66

Detailed explanation:

(8*40)+6%*×=$692; 320 + 0.6x = 692; 0.6x=692-320; 0.6x=373; x=373÷0.6; x=6216.66

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7 days ago

1. Hank is an intelligent student and usually makes good grades, provided that he can review the course material the night befor

PIT_PIT [3919]

Answer and Detailed Explanation:

Below is the response provided

3 0

7 days ago

Miguel is a golfer, and he plays on the same course each week. The following table shows the probability distribution for his sc

AnnZ [3877]

1) 4.55

2) Short hit

Step-by-step explanation:

The score and corresponding probabilities are shown in the following table:

Score 3 4 5 6 7

Probability 0.15 0.40 0.25 0.15 0.05

Let us define

X = Miguel's score on the Water Hole

The expected value of the variable X can be represented as:

$E(X)=\sum x_i p_i$

where

$x_i$ represents the different possible outcomes of X

$p_i$ denotes the associated probabilities

Accordingly, the expected value of Miguel's score is calculated as follows:

$E(X)=3\cdot 0.15 + 4\cdot 0.40 + 5\cdot 0.25 + 6\cdot 0.15 + 7\cdot 0.05=4.55$

Here, we will again consider:

X = Miguel's score on the Water Hole

In this case:

- For a successful long hit, the expected value of X is

$E(X)=4.2$

- Conversely, if the long hit isn't successful, the expected value of X becomes

$E(X)=5.4$

We also know that the likelihood of succeeding with a long hit is

$p(L)=0.4$

Consequently, the chance of failure in a long hit is

$p(L^c)=1-p(L)=1-0.4=0.6$

Thus, the expected value of X when opting for the long hit strategy is:

$E(X)=p(L)\cdot 4.2 + p(L^C)\cdot 5.4 = 0.4\cdot 4.2 + 0.6\cdot 5.4 =4.92$

In the first part of this question, we calculated the expected value using the short hit strategy, yielding:

$E(X)=4.55$

Given that the expected value for X is smaller (which is better) when utilizing the short hit option, we can conclude that this approach is superior.

8 0

10 days ago