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3 years ago

13

Emily has pennies and five dollar bills in her pocket. The number of pennies is eight less than three times the number of five d

ollar bills. Let f represent the number of five dollar bills. Write an expression for the number of pennies

2 answers:

Zina [86]3 years ago

6 0

Answer:

3f - 8 = number of pennies

Step-by-step explanation:

3f - 8 = number of pennies

zzz [600]3 years ago

6 0

Answer:

p = 3*f - 8

Step-by-step explanation:

Let f represent the number of five dollar bills and p the number of pennies.

The expression "The number of pennies is" is equivalent to "p =";

"three times the number of five dollar bills" is equivalent to "3*f"

"eight less than three times the number of five dollar bills" is equivalent to "3*f - 8"

Then the expression is p = 3*f - 8

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With a little care, you can find the median and the quartiles from the histogram. what are these numbers? you can also find the

coldgirl [10]

Complete Question

The histogram from this question is shown on the first uploaded image

Answer:

The first quartile is $1st Q = 19^{th} girl (subject ) = 1 \serving\ of\ fruit\ per\ day$

The median is $Median = 38 ^{th} \ girl (subject) = 2 \serving\ of\ fruit\ per\ day$

The third quartile is $3rd Q = 56^{th} \ girl (subject) = 4 \serving\ of\ fruit\ per\ day$

The mean is $\= x = 2.62$

Step-by-step explanation:

From the question we are told that

The total number of girls is n = 74

Generally the median is mathematically represented as

$Median = \frac{\frac{n}{2} +[ \frac{n}{2} + 1] }{2}$

So

$Median = \frac{\frac{74}{2} +[ \frac{74}{2} + 1] }{2}$

=> $Median = \frac{37 +38 }{2}$

=> $Median =37.5 \ girl$

From the histogram $37.5 \approx 38^{th} \ girl$ fall under 2 fruits per day

Generally the first quartile is mathematically represented as

$1st \ Q = \frac{\frac{n}{4} + [\frac{n}{4} + 1] }{2}$

=> $1st \ Q = \frac{\frac{74}{4} + [\frac{74}{4} + 1] }{2}$

=> $1st \ Q = 19 \ girl$

From the histogram $19^{th}$ girl fall under 1 fruit per day

Generally the third quartile is mathematically represented as

$3rd\ Q = \frac{\frac{n}{2} + n }{2}$

=> $3rd\ Q = \frac{\frac{74}{2} + 74 }{2}$

=> $3rd\ Q = 55.5$

From the histogram $55.5 \approx 56^{th} \ girl$ fall under 4 fruits per day

Generally from the histogram table the frequency [number of subjects (girls) ] and the servings of fruit per day can be represented as

Total

x(servings per day ) 0 1 2 3 4 5 6 7 8

f (number of subjects ) 15 11 15 11 8 5 3 3 3 $\sum f = 74$

xf 0 11 30 33 32 25 18 21 24 $\sum xf = 194$

Generally the mean is mathematically represented as

$\= x = \frac{1}{ \sum f} * [\sum xf]$

=> $\= x = \frac{1}{ 74} *194$

=> $\= x = 2.62$

4 0

3 years ago

A woman walks due west on the deck of a ship at 3 mi/h. The ship is moving north at a speed of 22 mi/h. Find the speed and direc

Minchanka [31]

Answer: The speed is 22.2 mi/hr and woman is 8° north relative to the surface of the water.

Step-by-step explanation:

Since we have given that

Speed at which woman walks due west = 3 mi/hr

Speed at which ship moving due north = 22 mi/hr

Now it forms "Pythagorus theorem":

So, it becomes,

$H^2=B^2+P^2\\\\H^2=3^2+22^2\\\\H^2=9+484\\\\H^2=493\\\\H=\sqrt{493}\\H=22.20\ mi/hr$

And the direction of the woman relative to the surface of the water is given by

$\theta=\sin^{-1}x(\dfrac{3}{22.2})=7.76\approx 8^\circ$

Hence, the speed is 22.2 mi/hr and woman is 8° north relative to the surface of the water.

5 0

3 years ago

When we reject the null hypothesis, we would expect the variance ratio, over the long run, to be:_________

FinnZ [79.3K]

Answer:

Cuando rechazamos la hipótesis nula, esperaríamos que la razón de varianza, a largo plazo, sea: <u>mayor al valor crítico.</u>

Step-by-step explanation:

5 0

3 years ago

[ WILL GIVE BRAINLIEST ANSWER TO WHOEVER ANSWERS FIRST ]

lapo4ka [179]

Answer:

c!!

Step-by-step explanation:

last saturday i did a worksheet that had the sae question

7 0

3 years ago

Read 2 more answers

How are 12 fl oz equivalent to 335 ml

Mazyrski [523]

The question asks us to find that 12 fl oz is equivalent to 335 ml. Then we have to either convert the milliliter to oz or vice-verse. In this case we will convert 12 fl oz to milleter and check if it comes to 335 ml.
Now we already know that
1 oz = 29.57 ml
Then
12 oz = (29.57 * 12) ml
= 354.84 ml
= 355 ml
So we see that 12 oz is not equal to 335 ml but it is almost equivalent to 335 ml.

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3 years ago