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VARVARA [1.3K]
3 years ago
12

George buy pizza. He eat 3/8 of the pizza for lunch and 1/2 of the pizza for pizza for lunch What fraction of the pizza has Geor

ge eaten?
Mathematics
2 answers:
astra-53 [7]3 years ago
5 0

Answer:

7/8

Step-by-step explanation:

The fraction of the pizza eaten is the result from the addition of the fractions he ate for lunch on both occasions.

Therefore, the fraction of pizza eaten by George

= 3/8 + 1/2

Lowest common multiple of the denominators is 8

=(3 + 4)/8

=7/8

George has eaten 7/8 of the pizza bought.

PolarNik [594]3 years ago
4 0

To find the amount he ate we just add the fractions:

3/8 +1/2 = 7/8 or 0.875

HOPE THIS HELPS!

HAVE A GR8 DAY ;-)

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Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate
Leviafan [203]

Answer:

Probability of having student's score between 505 and 515 is 0.36

Given that z-scores are rounded to two decimals using Standard Normal Distribution Table

Step-by-step explanation:

As we know from normal distribution: z(x) = (x - Mu)/SD

where x = targeted value; Mu = Mean of Normal Distribution; SD = Standard Deviation of Normal Distribution

Therefore using given data: Mu (Mean) = 510, SD = 10.4 we have z(x) by using z(x) = (x - Mu)/SD as under:

In our case, we have x = 505 & 515

Approach 1 using Standard Normal Distribution Table:

z for x=505: z(505) = (505-510)/10.4 gives us z(505) = -0.48

z for x=515: z(515) = (515-510)/10.4 gives us z(515) = 0.48

Afterwards using Normal Distribution Tables and rounding the values to two decimals we find the probabilities as under:

P(505) using z(505) = 0.32

Similarly we have:

P(515) using z(515) = 0.68

Now we may find the probability of student's score between 505 and 515 using:

P(505 < x < 515) = P(515)-P(505) = 0.68 - 0.32 = 0.36

PS: The standard normal distribution table is being attached for reference.

Approach 2 using Excel or Google Sheets:

P(x) = norm.dist(x,Mean,SD,Commutative)

P(505) = norm.dist(505,510,10.4,1)

P(515) = norm.dist(515,510,10.4,1)

Probability of student's score between 505 and 515= P(515) - P(505) = 0.36

Download pdf
6 0
3 years ago
Ms walkers science class is doing an egg drop experiment from the balcony of their school. Each egg is protected by a contraptio
mr_godi [17]

Answer:

The zeros, -1.48 and 1.48, represent the times where the egg is on the ground.

Step-by-step explanation:

The roots, or zeros, of an expression are the x-intercepts.  They are the points where the data crosses the x-axis.  The y-coordinate at these points is 0.  This means the height of the egg at these points is 0.

The values of a, b and c in this equation are -16, 0 and 35.  Using the quadratic formula,

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\=\frac{-0\pm \sqrt{0^2-4(-16)(35)}}{2(-16)}\\\\=\frac{0\pm \sqrt{0--2240}}{-32}\\\\=\frac{0\pm \sqrt{2240}}{-32}\\\\=\frac{0\pm 47.33}{-32}\\\\=\frac{0+47.33}{-32}\text{ or }\frac{0-47.33}{-32}\\\\=\frac{47.33}{-32}\text{ or }\frac{-47.33}{32}\\\\=-1.48\text{ or }1.48

7 0
3 years ago
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round y
tino4ka555 [31]

Answer:

0.8762 or 87.62%

Step-by-step explanation:

Since our mean is μ=14.3 and our standard deviation is σ=3.7.  If we're trying to figure out what percentage is P(10 ≤ x ≤ 26) equal to we must first calculate our z values as such:

z=\frac{x-\mu}{\sigma}

Our x value ranges from 10 to 26 therefore let x=10 and we obtain:

z=\frac{10-14.3}{3.7} =-1.16\\

If we look at our z-table we find that the probability associated with a z value of -1.16 is 0.1230 meaning 12.30%.

Now let's calculate the z value when x = 26 and so:

z=\frac{26-14.3}{3.7}=3.16\\

Similarly, we use the z-table again and find that the probability associated with a z value of 3.16 is 0.9992 meaning 99.92%.

Now we want to find the probability in between 10 and 26 so we will now subtract the upper limit minus the lower limit in P(10 ≤ x ≤ 26) therefore:

0.9992 - 0.1230 = 0.8762

or 87.62%

7 0
3 years ago
Hazel knits 5 centimeters of scarf eachnight. After 5 nights of knitting, how manycentimeters of scarf will Hazel have knit into
natta225 [31]

Answer:

Hazel will have knitted 25 centimeters of the scarf

SOLUTION

Problem Statement

We are told Hazel knits 5 centimeters of scarf every night for 5 nights. We are required to find the length of the scarf Hazel will have knitted after 5 nights.

Solution

We are told Hazel makes 5 centimeters of scarf every night. Thus, for each night up till 5 nights, we just need to add the length of scarf Hazel has made.

Let us count for each night.

Night 1:

Hazel makes 5 centimeters of the scarf.

Night 2:

Hazel makes extra 5 centimeters, which means she has made:

\begin{gathered} (5+5)\text{centimeters} \\ =10\text{ centimeters} \end{gathered}

Night 3:

Hazel makes extra 5 centimeters, which means she has made:

\begin{gathered} (10+5)\text{centimeters} \\ =15\text{ centimeters} \end{gathered}

NIght 4:

Hazel makes extra 5 centimeters, which means she has made:

\begin{gathered} (15+5)\text{centimeters} \\ =20\text{ centimeters} \end{gathered}

NIght 5:

Hazel makes extra 5 centimeters, which means she has made:

\begin{gathered} (20+5)\text{centimeters} \\ =25\text{ centimeters} \end{gathered}

Final Answer

Thus, Hazel will have knitted 25 centimeters of the scarf

5 0
11 months ago
Which expressions would complete this equation so that it has infinitely many solutions? 8 + 2(8x – 6) = Choose exactly two answ
cupoosta [38]
<span> the answers are ...C. 16x – 4 and  D. 4(4x – 1) ...

Hope it helps !!!</span>
3 0
3 years ago
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