Malik estimated that 150 people would attend a concert. The exact attendance was 215 What is his percent error, to the nearest percent? ​

Answer:

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Answer:

The margin of error for the 90% confidence interval is of 0.038.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

To this end we have obtained a random sample of 400 fruit flies. We find that 280 of the flies in the sample possess the gene.

This means that [tex]n = 400, \pi = \frac{280}{400} = 0.7[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

Margin of error:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.645\sqrt{\frac{0.7*0.3}{400}}[/tex]

[tex]M = 0.038[/tex]

The margin of error for the 90% confidence interval is of 0.038.

Answer:

The ratio in three ways are 500 : 125 or 100 : 25 or 4 : 1

Solution:

Given that,

Five hundred sixth-grade students  were surveyed

Which means,

sixth-grade students = 500

125 had traveled on an airplane

What is the ratio of total sixth-grade students to the number of students who had  traveled on an airplane?

Therefore,

total sixth-grade students : students  traveled on airplane = 500 : 125

Ratio = 500 : 125

Reduce to lowest terms,

Divide both sides by 5

Ratio = 100 : 25

Further reduce to simplest terms,

Divide both sides by 25

Ratio = 4 : 1

Thus the ratio in three ways are 500 : 125 or 100 : 25 or 4 : 1

Step-by-step explanation:

Answer:

The answer is 3 7/8 or 3.875

Answer:

The area of the trapezium is 18 ft²

Step-by-step explanation:

Given;

Two parallel sides of the polygon as  follows;

The first parallel side = 1 ft + 4 ft = 5 ft

The second parallel side = 4 ft

If this polygon is rotated 90 degrees, it forms a trapezium with a height of 4 ft.

The area of a trapezium is calculated as;

[tex]A rea= \frac{1}{2} (sum \ of \ parallel \ sides) \times height\\\\Area = \frac{1}{2} (5 \ + \ 4) \times 4\\\\Area = 18 \ ft^2[/tex]

Therefore, the area of the trapezium is 18 ft²

Answer:

y = 2x - 3

2y = x - 12

Step-by-step explanation:

Answer: Hope This Helps!

Step-by-step explanation:

Simplify the expression.

Exact Form:

87/40

Decimal Form:

2.175

Mixed Number Form:

2 7/40

Answer:

240 inches squared

Step-by-step explanation:

12 x ( 3 + 17) =

12 x 20 =

240 inches squared

Answer:

595

Step-by-step explanation:

First term:  

7

7 ⋅ 4 = 28

Second term:

28

28 ⋅ 4 = 112

Third term:

112

112 ⋅ 4 = 448

Fourth term:

448

This geometric sequence can be further described by the equation:

aₙ = 7 ⋅ 4 ⁿ⁻¹

So if you want to find the 4th term,  n = 4

a ₄ =  7  ⋅  4 ⁴⁻¹  =  7  ⋅  4 ³  =  7  ⋅  64  = 448

Note:

aₙ  =  a₁  rⁿ ⁻¹

Answer:

A jug of milk

Step-by-step explanation:

Answer:

[tex]2 ( \sqrt{x} - {x}^{3} )[/tex]

Step-by-step explanation:

[tex] \sqrt{x} - x - (2 {x}^{3} - \sqrt{x} - x) [/tex]

[tex] \sqrt{x} - x - 2 {x}^{3} + \sqrt{x} + x[/tex]

[tex]2( \sqrt{x} - {x}^{3} )[/tex]

Answer:

a

Step-by-step explanation:

Answer:

[tex]X^2-2x+1[/tex]

Step-by-step explanation:

Traditional pattern for a perfect square:

[tex]x^{2} +2ax+a^{2}[/tex]

Which factors into: [tex](x+a)^2[/tex]

We know becuase a is "missing" from the original equation that it must equal 1; therefore:

[tex]x^2+2x+1[/tex]

Which we know is correct because it factors into: [tex](x+1)^2[/tex]

Answer:

2/3 lbs

Step-by-step explanation:

2 divided by 3=2/3=2/3

Happy learning!

Answer:

round it to 18 since 9% of 195 is 17.55

Step-by-step explanation:

Answer:

Dude Where's the Diagram?

Answer:

x = 15.9

Step-by-step explanation:

Recall: SOHCAHTOA

Reference angle = 25°

Opposite = x

Adjacent = 34

Apply the trigonometric function, TOA, since the Opp and Adj are involved

Thus:

Tan 25° = Opp/Adj

Tan 25° = x/34

34*Tan 25° = x

15.8544604 = x

x = 15.9 (nearest tenth)

Answer:

100cm

Step-by-step explanation:

Because 50x2=100 cm

Answer:

A/5

Step-by-step explanation:

There are 2 people after 5 in the the 4| part and 3 under 6 in the 5| part.

Answer: The answer is 143.59

Step-by-step explanation:

I just subtracted 279.51 from 423.1! :)

Answer:

1

Step-by-step explanation:

A third of 3=1

3/3=1

Answer:

-78

Step-by-step explanation:

We need to find the value of -(-(-78))

We know that, -(-x) = +x

And -(-(-x)) = -x

We have,

x = 78

When two minus gets multiplied, we get a positive number and when a minus and a plus gets multiplied, we get a negative number. So,

-(-78) = +78

And

-(-(-78)) = -78

So, the numerical value is -78.

Answer:

Im pretty sure the first one is [tex]4\sqrt{3}[/tex]

and the second is 4

Answer:

9

Step-by-step explanation:

the two lines on either sign of each number indicate absolute value, which is the numbers value from 0 (on a number line). You turn -12 and -3 into 12 and 3 and subtract as normal.

Answer:

about 33.24 yards

Step-by-step explanation:

a² + b² = c²

so, 36² + b² = 49²

1296 + b² = 2401

b² = 1105

Take the square root of both sides..

b = 33.24 yards