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Leona [35]
2 years ago
7

Penelope went to the store to buy x pounds of broccoli for $1.10 per pound and y cans of soup for $2.50 each. In total, she spen

t less than $10. The inequality relating the purchases she made and the total purchase price is 1.10x + 2.50y < 10. Which are reasonable solutions for this situation? Check all that apply.
Mathematics
1 answer:
kati45 [8]2 years ago
6 0
2.5y + 1.1x ∠ 10

2.5y = - 1.1x +10

y = (- 1.1/2.5)x + 4

Draw this function. It's descending (m negative). All values on the left of the lines satisfy this inequality


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From Statistics and Data Analysis from Elementary to Intermediate by Tamhane and Dunlop, pg 265. A thermostat used in an electri
Leviafan [203]

Answer:

t=\frac{201.77-200}{\frac{2.41}{\sqrt{10}}}=2.32    

The degrees of freedom are given by:

df=n-1=10-1=9  

The p value for this case is given by:

p_v =2*P(t_{(9)}>2.32)=0.0455    

For this case since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly different from 200 F.

Step-by-step explanation:

Information given

data: 202.2 203.4 200.5 202.5 206.3 198.0 203.7 200.8 201.3 199.0

We can calculate the sample mean and deviation with the following formulas:

\bar X= \frac{\sum_{i=1}^n X_i}{n}

\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

\bar X=201.77 represent the sample mean    

s=2.41 represent the sample standard deviation    

n=10 sample size    

\mu_o =200 represent the value that we want to test    

\alpha=0.05 represent the significance level for the hypothesis test.    

t would represent the statistic

p_v represent the p value for the test

Hypothesis to test

We want to determine if the true mean is equal to 200, the system of hypothesis are :    

Null hypothesis:\mu = 200    

Alternative hypothesis:\mu = 200    

The statistic for this case is given by:

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

The statistic is given by:

t=\frac{201.77-200}{\frac{2.41}{\sqrt{10}}}=2.32    

The degrees of freedom are given by:

df=n-1=10-1=9  

The p value for this case is given by:

p_v =2*P(t_{(9)}>2.32)=0.0455    

For this case since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly different from 200 F.

4 0
2 years ago
Write 87 tens and 2 ones as a base ten number
ASHA 777 [7]

Answer:

(87)₁₀ = (1010111)₂

Take any base 10 number. Divide it by 2

Step-by-step explanation:

5 0
2 years ago
Write an arithmetic series for which S5 = 10.
Ludmilka [50]
S5=10 means the 5th number is 10. 
So the arithmetic sequence is s1, s2,s3, s4, 10
3 0
2 years ago
1. Ernie Boddy had $3,620.00 on deposit at savings bank on July 1. The money earns interest at a rate of 6.5% compounded quarter
laila [671]

Answer:

235.3$ for part a

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Natalia is writing a recursive formula to represent the sequence 8,12,18,27 what value should she use as the common ratio in the
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Common ratio = second term / first term = 12 / 8 = 1.5
7 0
2 years ago
Read 2 more answers
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