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3 years ago

1/2 with an exponent of 4

Mathematics

2 answers:

Pani-rosa [81]3 years ago

7 0

The answer is 0.0625

Helen [10]3 years ago

6 0

Answer: $\frac{1}{16}$

1/2 to the 4th power = $1/2^4$

Multiply

$\frac{1}{2} *\frac{1}{2} *\frac{1}{2} *\frac{1}{2}$

$=\frac{1}{16}$

Decimal

$\frac{1}{16} =0.0625$

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F(x)= (x+9x2- 9x +15

Oduvanchick [21]

Answer:

10x+15

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

In a sample of n = 6 scores, 5 of the scores are each above the mean by one point. Where is the 6th score located relative to th

den301095 [7]

The mean of a dataset is the sum of all data elements divided by the count of the elements.

The location of the 6th score relative to the mean is 5 points below the mean

Let:

$\bar x \to$ Mean

$a \to$ 5 scores

$b \to$ 6th scores

Given that:

$n = 6$

The 5 scores that are 1 above the mean implies that:

$a = \bar x + 1$

The mean of a dataset is calculated using:

$\bar x = \frac{\sum x}{n}$

So, we have:

$\bar x =\frac{5a + b}{6}$

$\bar x =\frac{5(\bar x + 1) + b}{6}$

Open brackets

$\bar x =\frac{5\bar x + 5 + b}{6}$

Multiply both sides by 6

$6\bar x =5\bar x + 5 + b$

Make b the subject

$b = 6\bar x -5\bar x - 5$

$b = \bar x - 5$

This means that the 6th score is 5 points below the mean

Read more about mean at:

brainly.com/question/17060266

3 0

3 years ago

Assume that r varies directly with s. If r = 21 when s = 6, find r when s = 12.

Illusion [34]

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------$

$\bf r=ks\qquad \textit{we also know that }
\begin{cases}
r=21\\
s=6
\end{cases}\implies 21=k6\implies \cfrac{21}{6}=k
\\\\\\
\cfrac{7}{2}=k\qquad therefore\qquad \boxed{r=\cfrac{7}{2}s}
\\\\\\
\textit{if s = 12, what is \underline{r}?}\qquad r=\cfrac{7}{2}\cdot 12$

6 0

4 years ago

Suppose that a die is rolled twice. What are the possible values that the following random variables can take on: (a) the maximu

Fiesta28 [93]

Answer:

See explanation

Step-by-step explanation:

Suppose that a die is rolled twice. Each time one of 6 numbers (1, 2, 3, 4, 5, 6) can be rolled.

A. the maximum value to appear in the two rolls is 6

B. the minimum value to appear in the two rolls is 1

C. the sum of the two rolls can vary from 2 to 12 (it can be 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)

D. the value of the first roll minus the value of the second roll can very from -5 to 5 (-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5)

Here -5 can be obtained as 1 - 6 (1 on the first roll and 6 on thesecond roll), -4 can be obtained as 1 - 5 or 2 - 6 and so on.

3 0

3 years ago

Eight students ran a 180-meter course during their physical education class. The chart shows the time it took each student to co

lakkis [162]

Answer:

Step-by-step explanation:

Speed of student 1 = 180/30= 6 m/sec

speed of student 2= 180/32= 5.62 m/sec

speed of student 3= 180/33= 5.45 m/sec

speed of student 4= 180/35= 5.14 m/sec

speed of student 5= 180/37= 4.86 m/sec

speed of student 6= 180/38= 4.73 m/sec

speed of student 7= 180/40= 4.5 m/sec

speed of student 8= 180/32= 4 m/sec

average speed is = (6+5.62+5.45+5.14+4.86+4.73+4.5+4)/8

hence, average speed is= 5.04

hence, the average speed of student 1 = 6m/sec

how much faster is average speed of student 1 than average speed= 6- 5.04 = 0.96

hence, average speed of student 1 is 0.96 m/sec more thanthe average speed.

4 0

3 years ago