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
svetoff [14.1K]
3 years ago
7

Each of the 10 students in the baking club made 2 chocolate cakes for a fundraiser they all used the same recipe, using C cups o

f flour in total. Write an expression that represents the amount of flour for one cake. Use C as your variable.
Mathematics
1 answer:
IrinaK [193]3 years ago
6 0

Answer:

C / 20

Step-by-step explanation:

Number of students in the baking club = 10

Each student made 2 chocolate cakes

Total cakes = number of students × number of cakes per student

= 10 × 2

= 20

Total cups of flour used by 10 students = C cups

Amount of flour for one cake = Total cups of flour / Total cakes

= C / 20

The expression that represents the amount of flour for one cake = C / 20

You might be interested in
Triangle MNP has vertices N(2, 2) and P(0, –2). The triangle is symmetric about the y-axis. What is the approximate measure of t
Evgesh-ka [11]
Point M of the triangle is (-2,2) to make triangle MNP as shown in the attached image

Triangle MNP has a base of 4 units and a height of 4 units. We can work out the angle x and angle y using trigonometry ratio

We use tan ratio to find both angles

Tan (x) = \frac{opposite}{adjacent}
Tan(x)= \frac{4}{2}
Tan(x)=2
Tan^{-1}(2)=63.43494882
Angle x=63.43

Tan(y)= \frac{opposite}{adjacent}
Tan(y)= \frac{2}{4}
Tan^{-1}(0.5)=26.56505118
Angle y=26.6

Angle MNP = Angle NMP = 63.43 degrees (this is based on the fact that the triangle is an isosceles triangle)

Angle MPN = 2×26.6 = 53.2 degrees (we multiply by 2 as angle y is only a half of angle MPN - as shown in the diagram)

3 0
3 years ago
Read 2 more answers
I need urgent help!!
RSB [31]

Answer: I don’t actually know sorry

Step-by-step explanation:

6 0
3 years ago
I'll give brainliest to whoever answers the question correctly!!!!
poizon [28]

Answer:

C. Incomplete sentences

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A maker of a certain brand of low-fat cereal barsclaims that the average saturated fat content is 0.5gram. In a random sample of
finlep [7]

Answer:

t=\frac{0.475-0.5}{\frac{0.183}{\sqrt{8}}}=-0.386    

p_v =2*P(t_{(7)}  

If we compare the p value and the significance level assumed \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the true mean is different from 0.5 at 5% of signficance.  So then the claim makes sense

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

Solution to the problem

In order to calculate the mean and the sample deviation we can use the following formulas:  

\bar X= \sum_{i=1}^n \frac{x_i}{n} (2)  

s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}} (3)  

The mean calculated for this case is \bar X=0.475

The sample deviation calculated s=0.183

We need to conduct a hypothesis in order to check if the true mean is 0.5 or no, the system of hypothesis would be:  

Null hypothesis:\mu = 0.5  

Alternative hypothesis:\mu \neq 0.5  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{0.475-0.5}{\frac{0.183}{\sqrt{8}}}=-0.386    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=8-1=7  

Since is a two sided test the p value would be:  

p_v =2*P(t_{(7)}  

Conclusion  

If we compare the p value and the significance level assumed \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the true mean is different from 0.5 at 5% of signficance.  So then the claim makes sense

4 0
3 years ago
Read 2 more answers
If x is a positive integer and y is a negative integer than x + y is a rational number.
romanna [79]

Answer:

Yes

Step-by-step explanation:

An integer is a whole number so if x is positive and y is negative then the equation would just be x plus negative y. But x+-y is an odd equation so the simplified version is x-y so it is a rational number, since a rational number is a number that can be rewritten as a simple fraction.

5 0
3 years ago
Other questions:
  • Jon performs 3 transformations on a pentagon. First, he reflects it over the x-axis. Then, he translates it 3 units to the left
    14·1 answer
  • A streetlight that is 9 feet tall casts a 2-foot-long shadow. A nearby flagpole casts a 11-foot-long shadow. What is the height
    8·1 answer
  • A researcher computes the definitional formula for SS, and finds that Σ(x − M) = 44. If this is a sample of 12 scores, then what
    13·1 answer
  • What is the image point of (5,1)(5,1) after a translation right 5 units and down 2 units? PLS HELP ME
    7·2 answers
  • Can someone explain this geometry problem?? Will give Brainliest!!
    15·1 answer
  • Need help with this 3(m + n) - 5 (2m-n)
    10·2 answers
  • WHo wants some freee points?
    14·2 answers
  • Can SOMEONE PLZ HELPP
    15·1 answer
  • Find (x−2)(4x+2) using the table of products. Write your answer in standard form.
    9·1 answer
  • Employees of the sports department at a television station want to measure the number of viewers for a particular exercise progr
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!