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viktelen [127]
3 years ago
11

Alexis and Martin helped the school set chairs in rows for an assembly. They put the same number of chairs in each row. Using 92

chairs available, Alexis made 4 rows with 2 chairs left over while Martin made 5 rows with no chairs left over. Write and solve an equation that can be used to find the number of chairs in each row.
Mathematics
1 answer:
Furkat [3]3 years ago
4 0

4c + 5c = 92 - 2

9c = 90

c = 10

22 chairs were not used in the assembly.

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The hypothesis H0: \mu=350H 0 : μ = 350 versus H_a:\mu<350H a : μ < 350 are examined using a sample of size n = 20. The on
Zolol [24]

Answer:

The statistic for this case is given t =-1.68

The degrees of freedom are given by:

df =n-1= 20-1=19

Since is a one-side lower test the p value would given by:  

p_v =P(t_{19}  

Step-by-step explanation:

Data given and notation  

\bar X represent the sample mean  

s represent the sample standard deviation  

n=20 sample size  

\mu_o =350 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is lower than 350, the system of hypothesis are :  

Null hypothesis:\mu \geq 350  

Alternative hypothesis:\mu < 350  

Since we don't know the population deviation, 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  

The statistic for this case is given t =-1.68

P-value  

The degrees of freedom are given by:

df =n-1= 20-1=19

Since is a one-side lower test the p value would given by:  

p_v =P(t_{19}  

5 0
2 years ago
How would you factor c(m - n) d(m - n)?
Kazeer [188]
Ab+ac=a(b+c) or
ba+ca=a(b+c)
c(m-n)+d(m-n)=(m-n)(c+d)
5 0
3 years ago
Whats the volume?<br><br> B= 37.6 cm²; h= 20 cm
Georgia [21]

Answer:

752 cm^3

Step-by-step explanation:

Find the volume with: base x length x height

37.6 x 20 = 752

8 0
3 years ago
Find the LCM of 6 and 8 and list the multiples <br>​
Hitman42 [59]

Answer:

24

Step-by-step explanation:

6x4

8x3

8 0
3 years ago
How do you work this out?
Ira Lisetskai [31]
I'm guessing you find the length of the hypotenuse using the pythagorean theorem. 

a² + b² = c²     a and b are the legs and c is the hypotenuse

15² + 8² = c²

225 + 64 = c²

289 = c²

√289 = √c²

17 = c

hope that helps, God bless!
3 0
3 years ago
Read 2 more answers
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