PLEASE HELP I NEED TO TURN THIS IN SOON

Last Saturday, Niki went on a bike ride from her house to the park. The total distance she travelled on her bike was 3 1/5 miles

Mnenie [13.5K]

Answer:

D. $\frac{16}{5}$

Step-by-step explanation:

$3\frac{1}{5}$

To rewrite a mixed number as an improper fraction, first, multiply the whole number by the denominator.

$3*5=15$

Then, add this number to the numerator.

$15+1=16$

This number is now the numerator of the fraction. The denominator stays the same.

$\frac{16}{5}$

I hope this helps!

5 0

3 years ago

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All the fourth-graders in a certain elementary school took a standardized test. A total of 81% of the students were found to be

Dvinal [7]

Answer:

The probability that a student is proficient in mathematics, but not in reading is, 0.10.

The probability that a student is proficient in reading, but not in mathematics is, 0.17

Step-by-step explanation:

Let's define the events:

L: The student is proficient in reading

M: The student is proficient in math

The probabilities are given by:

$P (L) = 0.81\\P (M) = 0.74\\P (L\bigcap M) = 0.64$

$P (M\bigcap L^c) = P (M) - P (M\bigcap L) = 0.74 - 0.64 = 0.1\\P (M^c\bigcap L) = P (L) - P (M\bigcap L) = 0.81 - 0.64 = 0.17$

The probability that a student is proficient in mathematics, but not in reading is, 0.10.

The probability that a student is proficient in reading, but not in mathematics is, 0.17

5 0

3 years ago

What is the APY of a savings account with an APR of 3.9742% compounded monthly? Answer to the four decimal place

Maurinko [17]

Answer:

The APY of the saving account is 4.0474%

Step-by-step explanation:

We know the formula for APY which is given by

$APY=(1+\frac{r}{n} )^n-1$

here, r= interset rate = 3.9742% = 0.039742

n = compounding cycles = 12

On plugging these values in the above formula, we get

$APY=(1+\frac{0.039742}{12} )^{12}-1$

On simplifying this we get

APY =0.04047395=4.0474%

6 0

3 years ago

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The data below represent the weight, in kilograms, of 15 containers shipped from

Nikolay [14]

Answer:

(A) Maximum = 100 kg.

(B) Lower quartile = 55 kg.

(C) Minimum = 45 kg.

(D) Upper quartile = 93 kg.

(E) Median = 81 kg.

Step-by-step explanation:

A box-plot, also known as a box and whisker plot is a method to demonstrate the distribution of a data-set based on the following 5 number summary,

Minimum (shown at the bottom of the chart)
First Quartile (shown by the bottom line of the box)
Median (or the second quartile) (shown as a line in the center of the box)
Third Quartile (shown by the top line of the box)
Maximum (shown at the top of the chart).

The data provided for the weight, in kilograms, of 15 containers shipped from a factory in one week is as follows:

S = {45, 51, 53, 55, 55, 65, 75, 81, 84, 87, 93, 93, 95, 96, 100}

The data is already arranged in ascending order.

The maximum value is:

Maximum = 100 kg.

The first quartile is the median value of the first half of the data.

The first half of the data is:

S₁ = {45, 51, 53, 55, 55, 65, 75}

The median of this data set is the middle value, i.e. 4th value.

So, the first quartile is:

Lower quartile = 55 kg.

The minimum value is:

Minimum = 45 kg.

The third quartile is the median value of the second half of the data.

The second half of the data is:

S₂ = {84, 87, 93, 93, 95, 96, 100}

The median of this data set is the middle value, i.e. 4th value.

So, the third quartile is:

Upper quartile = 93 kg.

The The median of the data set is the middle value, i.e. the 8th value.

Median = 81 kg.

6 0

3 years ago

13. Marco's height is 63 inches. Marco's height is 3 inches less than 1.5 times Jennifer's height.

qaws [65]

Answer:

Jennifer is 90 inches tall

Step-by-step explanation:

5 0

3 years ago

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