Mist ate 2 slices of cake. Flout ate 1 slice. If Mist ate 2/4 of the cake and all the slices were the same size, what fraction of the cake remained after Mist and Flout had eaten?

Answers

Answer 1
Answer: 1/4 remained
2/4 - mist + 1/4 -flout = 3/4
4/4 - 3/4 = 1/4
Answer 2
Answer: one fourths would be left

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Data on caloric intake or teens for two types of diet are given below. Typical Diet Caloric intake Sample mean St. Dev.
No fast food 2310 2295 2280 2340 2235 2265 2315 2291.429 34.8466
food Fast 2579 2160 2165 2580 2558 2591 2614 2518 2583.125 33.0646

Give a 95% confidence interval for the difference of the two means, (Uf - Un), where is the mean calorie intake for teens who typically eat fast food and is that for teens who do not typically eat fast food assuming two normal populations, independent random samples, and equal variances for the two populations

Answers

Answer:

Step-by-step explanation:

For "no fast food,

n1 = 9

Mean = (2310 + 2295 + 2280 + 2340 + 2235 + 2265 + 2315 + 2291.429 + 34.8466)/9

Mean, m1 = 2041

Standard deviation, s1 = √summation(x - u)²/n

summation(x - u)² =

(2310 - 2041)^2 + (2295 - 2041)^2 + (2280 - 2041)^2 + (2340 - 2041)^2 + (2235 - 2041)^2 + (2265 - 2041)^2 + (2315 - 2041)^2 + (2291.429 - 2041)^2 + (34.8466 - 2041)^2

= 4533653.14837256

s = √4533653.14837256/9

s = 709.75

For " fast food",

n2 = 10

Mean = (2579 + 2160 + 2165 + 2580 + 2558 + 2591 + 2614 + 2518 2583.125 + 33.0646)/10

Mean,m2 = 2238

summation(x - u)² =

(2579 - 2238)^2 + (2160 - 2238)^2 + (2165 - 2238)^2 + (2580 - 2238)^2 + (2558 - 2238)^2 + (2591 - 2238)^2 + (2614 - 2238)^2 + (2518 - 2238)^2 + (2583.125 - 2238)^2 + (33.0646 - 2238)^2

= 5672294.38379816

s2 = √5672294.38379816/10

s2 = 753.15

For a confidence interval of 95%, z = 1.96

The formula for confidence interval is

m1 - m2 ± z × √(s1²/n1 + s2²/n2)

= 2041 - 2238 ± 1.96 × √(709.75²/9 + 753.15²/10)

= - 197 ± 1.96 × √(55971.6736 + 56723.4923)

= - 197 ± 1.96 × 335.7

= - 197 ± 657.972

The lower end of the interval is

- 197 - 657.972 = - 854.972

The upper end of the interval is

- 197 + 657.972 = 460.972

The line a and the plane Pi have a common point O and the angle between the line and the plane is 60 degrees. If point A belongs to the line a even though OA = 4 cm, Calculate the distance from point a to the plane Pi. Please help me. ​

Answers

Answer:

(0,0) and (1,4)

Step-by-step explanation:

you want to have the same slope as

y=4,which is 4.

so(4-0)/(1-0)=4/1=4

The others do not have the same slope.

How many points separated the gold medalist and the fifth place competitor?

Answers

Answer:

10 point separation.

Step-by-step explanation:

There are 14 points for gold and 4 points for fifth place.

Hope this helps!

Answer:

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Step-by-step explanation:

26.67

What is 0945987123987634678 divided by 67899876543444445678

Answers

Answer:35652846437467

Step-by-step explanation:simple math

Step-by-step explanation:

1.23

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la diferencia entre el mayor y menor termino de una proporcion geometrica continua es 15.si el otro termino es 10 hallar la suma de mis terminos

Answers

25=10+15=25,because I said so.

Maria, Zach y Jill comparten una pizza. Maria come la mitad de la pizza, Zach come 4/6 y Jill come 3/12 de la pizza. ¿Quién come más?

Answers

Answer:

Jill

Step-by-step explanation:

Spanish:

Necesitamos asegurarnos de que ambas fracciones tengan el mismo denominador para descubrir quién se comió la porción más grande.

  • Jill comió (4)/(6) de la pizza, Zach comió (3)/(12) de la pizza,  y María comió (1)/(2) de la pizza
  • Podemos manipular estas fracciones para que ambas tengan el mismo denominador de 12.
  • Para hacerlo, podemos multiplicar la porción de Jill por (2)/(2) lo que haría su porción  (8)/(12) y la porción de María por (6)/(6) la cual haría su porción (6)/(12)

Ahora podemos comparar las tres fracciones y ver cuál tiene el numerador más grande

  • Comparando (8)/(12) , (3)/(12) , y (6)/(12), podemos ver que 8 > 6 > 3, lo que significa que Jill comió más pizza

English:

We need to make sure both fractions have the same denominator to figure out who ate the bigger portion.

  • Jill ate (4)/(6) of this pizza Zach ate (3)/(12) of the pizza, and Maria ate (1)/(2) of the pizza
  • We can manipulate these fractions so they all have the same denominator of 12.
  • To do so, we can multiply Jill's portion by (2)/(2) which would make her portion (8)/(12) and Maria's portion by (6)/(6) which would make her portion (6)/(12)

Now we can compare the three fractions and see which one has the larger numerator

  • Comparing (8)/(12) , (3)/(12) , and (6)/(12) we can see that  8 > 6 > 3 which means Jill ate more pizza