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frez
1 month ago
6

Yesterday's World Cup final had viewing figures of 138,695,157. What is the value of the 3?

Mathematics
1 answer:
zzz [12.3K]1 month ago
8 0

Answer:

The digit 3 represents a value of 30,000,000.

Step-by-step explanation:

Starting from the rightmost digit, each number is multiplied by 10 raised to an incrementing exponent beginning at zero. In detail:

Let the exponent be i

i = 0;

Value of digit 7 is v(7)

v(7) = 7*10^{0} = 7

i = 1;

Value of digit 5 is v(5)

v(5) = 5*10^{1} = 50

i = 2;

Value of digit 1 is v(1)

v(1) = 1*10^{2} = 100

i = 3;

Value of digit 5 is v(5)

v(5) = 5*10^{3} = 5,000

i = 4;

Value of digit 9 is v(9)

v(9) = 9*10^{4} = 90,000

i = 5;

Value of digit 6 is v(6)

v(6) = 6*10^{5} = 600,000

i = 6;

Value of digit 8 is v(8)

v(8) = 8*10^{6} = 8,000,000

At i = 7;

Value of digit 3 is v(3)

v(3) = 3*10^{7} = 30,000,000

This confirms the digit 3 holds a value of 30,000,000.

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A major department store chain is interested in estimating the mean amount its credit card customers spent on their first visit
Inessa [12570]

Answer: D) \$50\pm\$11.08

Step-by-step explanation:

Based on the provided information, we have

Sample size: n= 15

sample mean: \overline{x}=\$50.50

Sample standard deviation: s= $20

Since the population standard deviation is not known, we utilize a t-test.

For a significance level of 95% confidence: \alpha=1-0.95=0.05

Critical t-value : t_{n-1, \alpha/2}=t_{014,0.025}=2.145  [Using the Student's t-value table]

The required 95% confidence interval yields:-

\overline{x}\pm t_{n-1, \alpha/2}\dfrac{s}{\sqrt{n}}\\\\ =\$50.50\pm(2.145)\dfrac{\$20}{\sqrt{15}}\\\\\approx \$50\pm\$11.08

Thus, the sought-after 95% confidence interval for the mean amount spent by credit card customers during their initial visit to the new store in the mall, assuming normal distribution of the spending amounts, is:

\$50\pm\$11.08

5 0
18 days ago
There are exactly π radians in a semicircle. There are exactly π radians in a full circle. There are approximately radians in a
PIT_PIT [12445]
In a semicircle, there exist pi radians, whereas a full circle consists of 2pi radians. Since 2pi equals approximately 2*3.14, it results in roughly 6.28 radians in half a circle. The total of 2pi radians corresponds to 360 degrees.
8 0
11 days ago
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Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use:
Zina [12379]

Examining Talia's steps to derive the line equation, we identify the erroneous step as detailed below:
Step 1:
Select a point on the line, such as (2,5)
Step 2:
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Step 3:
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4 0
1 month ago
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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
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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

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x = £170,000

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

7 0
1 month ago
What is the value of x in the equation 4 x plus 8 y equals 40, when y equals 0.8? 4.6 8.4 10 12What is the value of a in the equ
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Answer:

1. 8.4 2. 15

Step-by-step explanation:

1. 4x + 8y = 40

when y = 0.8

4x + 8 × 0.8 = 40

4x = 40 - 8 × 0.8

4x = 40 - 6.4 = 33.6

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3a = 54 - 9

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1 month ago
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