1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vazorg [7]
3 years ago
14

8.1g of sugar is needed for every cake made. How much sugar is needed for 6 cakes?

Mathematics
1 answer:
Lerok [7]3 years ago
8 0

Answer:

48.6

Step-by-step explanation:

If you use 8.1g of sugar for 1 cake then 6 cakes will be 48.6g of sugar

Just do 8.1*6 and you will get 48.6

You might be interested in
Twenty-five students from Harry High School were accepted at Magic University. Of those students, 10 were offered athletic schol
Taya2010 [7]

Answer:

Step-by-step explanation:

Part A

For Athletic scholarship,

Mean = (16 + 24 + 20 + 25 + 24 + 23 + 21 + 22 + 20 + 20)/10 = 21.5

Standard deviation = √(summation(x - mean)²/n

n = 10

Summation(x - mean)² = (16 - 21.5)^2 + (24 - 21.5)^2 + (20 - 21.5)^2 + (25 - 21.5)^2 + (24 - 21.5)^2 + (23 - 21.5)^2 + (21 - 21.5)^2 + (22 - 21.5)^2 + (20 - 21.5)^2 + (20 - 21.5)^2 = 64.5

Standard deviation = √64.5/10 = 2.54

For non athletic scholarship,

Mean = (23 + 25 + 26 + 30 + 32 + 26 + 28 + 29 + 26 + 27 + 29 + 27 + 22 + 24 + 25)/15 = 26.6

n = 15

Summation(x - mean)² = (23 - 26.6)^2 + (25 - 26.6)^2 + (26 - 26.6)^2 + (30 - 26.6)^2 + (32 - 26.6)^2 + (26 - 26.6)^2 + (28 - 26.6)^2 + (29 - 26.6)^2 + (26 - 26.6)^2 + (27 - 26.6)^2 + (29 - 26.6)^2 + (27 - 26.6)^2 + (22 - 26.6)^2 + (24 - 26.6)^2 + (25 - 26.6)^2 = 101.6

Standard deviation = √101.6/15 = 2.6

This is a test of 2 independent groups. The population standard deviations are not known. it is a two-tailed test. Let 1 be the subscript for scores of athletes and 2 be the subscript for scores of non athletes.

Therefore, the population means would be μ1 and μ2

The random variable is x1 - x2 = difference in the sample mean scores of athletes and non athletes.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 ≠ μ2 H1 : μ1 - μ2 ≠ 0

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

From the information given,

x1 = 21.5

x2 = 26.6

s1 = 2.54

s2 = 2.6

n1 = 10

n2 = 15

t = (21.5 - 26.6)/√(2.54²/10 + 2.6²/15)

t = - 4.65

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [2.54²/10 + 2.6²/15]²/[(1/10 - 1)(2.54²/10)² + (1/15 - 1)(2.6²/15)²] = 1.2008/0.1039

df = 12

We would determine the probability value from the t test calculator. It becomes

p value = 0.00056

Since alpha, 0.1 > than the p value, 0.00056, then we would reject the null hypothesis.

Therefore, these data provide convincing evidence of a difference in ACT scores between athletes and nonathletes.

Part B

The formula for determining the confidence interval for the difference of two population means is expressed as

Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)

For a 90% confidence level, the z score from the normal distribution table is 1.645

x1 - x2 = 21.5 - 26.6 = - 5.1

√(s1²/n1 + s2²/n2) = √(2.54²/10 + 2.6²/15) = 1.05

The confidence interval is - 5.1 ± 1.05

This analysis provides evidence that the mean scores for non athletes is higher than the mean scores for athletes, and that the difference between means in the population is likely to be between 4.05 and 6.15

4 0
3 years ago
Why every one should learn maths in life
krek1111 [17]
It will help with taxes and construction and paying things, etc.
6 0
3 years ago
Read 2 more answers
Function 1 is defined by y =-7/3x-1
otez555 [7]

Answer:

Y-Intercept

Step-by-step explanation:

Your question is not that clear to answer. If you are asking what number -1 called its y-intercept

7 0
2 years ago
Read 2 more answers
Use two unit multipliers to convert 112 feet to centimeters
Romashka [77]

Step-by-step explanation:

For the first multiplier, convert feet to inches.

For the second multiplier, convert inches to centimeters.

112 ft × (12 in / ft) × (2.54 cm / in) = 3413.76 cm

5 0
2 years ago
A circle has a radius of 12ft. What is the Diameter and Circumference.
Anna35 [415]

Answer:

d=24ft

Step-by-step explanation:

d=2r=2·12=24ft

4 0
2 years ago
Read 2 more answers
Other questions:
  • Wich is the first step in simplifying the expression 2(x+3)+5
    6·2 answers
  • What is 5.6 = p - 8.3
    10·1 answer
  • Please explain. 100 / (-5) =
    6·2 answers
  • A survey shower that 82% of adults need correction for their eyesight. If 18 adults are randomly selected, find the probability
    6·1 answer
  • Use the difference of squares identity to write this polynomial expression in factored form: 9x2 − 49.
    13·2 answers
  • A school libary has 260 dvds in its collection. Given that 45% of the dvdas are science and 40% are about history. How many of t
    10·2 answers
  • The concentration C (in mg/dl), of a certain antibiotic in a patient's bloodstream is given by C(t)=50 t /(t^2 + 25) where t is
    14·1 answer
  • Which shapes have parallel sides
    10·1 answer
  • Tell whether the relationship shown in the mapping diagram is a function or not.
    7·1 answer
  • PLEASE HELP DUE NOW Pentagon A'B'C'D' E' is the image of
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!