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3 years ago

Is 5 17/21 greater or less than 5 12/25

Mathematics

2 answers:

maxonik [38]3 years ago

8 0

Answer:

5 17/21 > 5 12/25

Step-by-step explanation:

almond37 [142]3 years ago

3 0

Answer: IT IS 5 17/21

Step-by-step explanation:

I used a calculator

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The feet of the average adult woman are 24.6 cm long, and foot lengths are normally distributed. If 16% of adult women have feet

nevsk [136]

Answer:

Approximately 16% of adult women have feet longer than 27.2 cm.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The feet of the average adult woman are 24.6 cm long

This means that $\mu = 24.6$

16% of adult women have feet that are shorter than 22 cm

This means that when $X = 22$ , Z has a p-value of 0.16, so when $X = 22, Z = -1$ . We use this to find $\sigma$

$Z = \frac{X - \mu}{\sigma}$

$-1 = \frac{22 - 24.6}{\sigma}$

$-\sigma = -2.6$

$\sigma = 2.6$

Approximately what percent of adult women have feet longer than 27.2 cm?

The proportion is 1 subtracted by the p-value of Z when X = 27.2. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{27.2 - 24.6}{2.6}$

$Z = 1$

$Z = 1$ has a p-value of 0.84.

1 - 0.84 = 0.16

0.16*100% = 16%.

Approximately 16% of adult women have feet longer than 27.2 cm.

3 0

3 years ago

Use a table of values with at least 5 values to graph the following function:

34kurt

The given expression :

$y=(\frac{1}{2})^x$

For coordinates:

put x = 0 then :

$\begin{gathered} y=(\frac{1}{2})^0 \\ y=1 \end{gathered}$

Coordinate : (x, y) = (0, 1)

Put x= 1 and simplify :

$\begin{gathered} y=(\frac{1}{2})^1 \\ y=\frac{1}{2} \\ y=0.5 \end{gathered}$

Coordinate : (x, y) = ( 1, 0.5)

Put x = (-2) and simplify :

$\begin{gathered} y=(\frac{1}{2})^{-2} \\ y=\frac{1^{-2}}{2^{-2}} \\ y=\frac{2^2}{1^2} \\ y=2^2 \\ y=4 \end{gathered}$

Coordinate : (x, y) = ( -2, 4)

Put x = (-3) and simplify :

$\begin{gathered} y=(\frac{1}{2})^{-3} \\ y=\frac{1^{-3}}{2^{-3}} \\ y=\frac{2^3}{1^3} \\ y=2^3 \\ y=8 \end{gathered}$

Coordinate : (x, y) = (-3, 8)

Substitute x = (-1) and simplify :

$\begin{gathered} y=(\frac{1}{2})^x \\ y=(\frac{1}{2})^{-1} \\ y=\frac{1^{-1}}{2^{-1}} \\ y=\frac{2}{1} \\ y=2 \end{gathered}$

Coordinate : (x, y) = ( -1, 2)

So, the coordinates are :

The graph is :

4 0

1 year ago

PLEASE HELP ASAP!! (Find the surface area of the prism) SHOW WORK! (Number 6)

Leokris [45]

Sa= bw+hw+lw+ $\frac{1}{2}bh$ (2)
SA=(12*4)+(16*4)+(20*4)+( $\frac{1}{2} 12*16*2$ )
SA= 28+64+80+(6*16*2)
SA=28+64+80+(96*2)
SA=28+64+80+192
SA=364 $cm^{2}$

3 0

3 years ago

Calculate the size of angle DBE.6. Calculate the size of angle DBE.

Lina20 [59]

Angle D = 47’

Angle B = 116’
32 + 32 = 64
180 - 64 = 116’

Angle E = 17’
116 + 47 = 163
180 - 163 = 17

Idk what to do after wards

5 0

3 years ago

In Bobby’s school, math grades for the year are calculated from assignments, tests and a final exam. Assignments count 30%, test

jarptica [38.1K]

Answer:

A) Bobby's overall grade is 70.4%

Step-by-step explanation:

To solve this problem we must calculate the percentages each grade represents from the overall grade. Therefore:

assignment = 85*30% = 85*30/100 = 25.5%

tests = 72*20% = 72*20/100 = 14.4%

exam = 61*50% = 61*50/100 = 30.5%

total = assignment + tests + exam

total = 25.5 + 14.4 + 30.5 = 70.4

Bobby's overall grade is 70.4%. Therefore the correct answer is A).

7 0

3 years ago