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Norma-Jean [14]
2 years ago
8

The times for five sprinters in a 50 meter dash were 6.72 seconds 6.4 seconds 6.08 and 7.03 seconds in 6.75 seconds right these

times from fastest to slowest
Mathematics
1 answer:
andreev551 [17]2 years ago
6 0

Answer:

Fastest to slowest = 6.08 > 6.4 > 6.72 > 6.75 > 7.03

Step-by-step explanation:

The person who completes the 50-meter race within the shortest possible time is the fastest sprinter. Here, the third sprinter crossed the line in 6.08 seconds, whereas the 4th sprinter crossed the line in 7.03 seconds. That is why the third sprinter has won the race, and he becomes the fastest. On the contrary, the fourth person takes the most time to complete the race, meaning he is the slowest.

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Which measurement is the best estimate for the capacity of a bottle of nail polish?
Law Incorporation [45]
The best estimate for the capacity of a bottle of nail polish is A: 10 mL
4 0
2 years ago
What is the y-intercept of the function f(x)=4 - 5x? (Hint: use the commutative property)
Tom [10]

Answer:

Therefore the y-intercept of the function is 4.

Step-by-step explanation:

Intercepts:

The line which intersect on x-axis and y-axis are called intercepts.

y-intercept: The line or function which intersect at y-axis. So when the line intersect at y-axis, X coordinate is zero.

So in the given Function Put x = 0 we will get the y-intercept

f(x)= 4-5x

Put x =0

f(0)= 4-5\times 0

f(0)= 4-0=4

Therefore the y-intercept of the function is 4.

7 0
2 years ago
Employees in the marketing department of a large regional restaurant chain are researching the amount of money that households i
kap26 [50]

Answer:

The <em>z</em>-score for the group "25 to 34" is 0.37 and the <em>z</em>-score for the group "45 to 54" is 0.25.

Step-by-step explanation:

The data provided is as follows:

25 to 34              45 to 54

  1329                    2268

  1906                    1965

 2426                     1149

  1826                     1591

  1239                    1682

   1514                     1851

  1937                     1367

  1454                    2158

Compute the mean and standard deviation for the group "25 to 34" as follows:

\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [1329+1906+...+1454]=\frac{13631}{8}=1703.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1086710.875}=394.01

Compute the <em>z</em>-score for the group "25 to 34" as follows:

z=\frac{x-\bar x}{s}=\frac{1851-1703.875}{394.01}=0.3734\approx 0.37

Compute the mean and standard deviation for the group "45 to 54" as follows:

\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [2268+1965+...+2158]=\frac{14031}{8}=1753.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1028888.875}=383.39

Compute the <em>z</em>-score for the group "45 to 54" as follows:

z=\frac{x-\bar x}{s}=\frac{1851-1753.875}{383.39}=0.25333\approx 0.25

Thus, the <em>z</em>-score for the group "25 to 34" is 0.37 and the <em>z</em>-score for the group "45 to 54" is 0.25.

8 0
2 years ago
Which expression is equivalent to (StartFraction 125 squared Over 125 Superscript four-thirds Baseline EndFraction? StartFractio
stealth61 [152]

Answer:

\frac{125^2}{125^\frac{4}{3}} = 25

Step-by-step explanation:

Given

\frac{125^2}{125^\frac{4}{3}}

Required

Find an equivalent expression

\frac{125^2}{125^\frac{4}{3}}

Apply the following law of indices;

\frac{a^m}{a^n}  a^{m-n}

The expression becomes

125^{2-\frac{4}{3}}

Solve the exponents

125^{\frac{6-4}{3}}

125^{\frac{2}{3}}

Express 125 as 5³

5^{3^*\frac{2}{3}}

Solve the exponents

5^2

25

Hence;

\frac{125^2}{125^\frac{4}{3}} = 25

5 0
2 years ago
Write the equation of the line that is parallel to the line y=-7/4x-2 through the point (4,2)! Help please
Sladkaya [172]

as you already know, the equation y=-7/4x-2, is already in slope-intercept form and thus its slope is the coefficient of the "x", namely -7/4.

parallel lines have the same exact slope, so a parallel line to this one will also have a slope of -7/4, and it passes through 4,2,

\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{2})\qquad \qquad \qquad  slope =  m\implies -\cfrac{7}{4} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-2=-\cfrac{7}{4}(x-4) \\\\\\ y-2=-\cfrac{7}{4}x+7\implies y=-\cfrac{7}{4}x+9

6 0
2 years ago
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