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Andreyy89
3 years ago
7

John must have at least 289 test points to pass his math class. He already has test scores of 72, 78, and 70. Which inequality w

ill tell him at least how many more points he needs to pass the class?
Mathematics
2 answers:
netineya [11]3 years ago
3 0
<span> 72 + 78 + 70 + x is less than or equal to 289</span>
frutty [35]3 years ago
3 0
72 + 78 + 70 + x is greater than of equal to 289
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If i have 100 gummy vitamins and i take two a day how many months would they last me?
never [62]
100 vitamins/2 a day=50 days 50 days/30 days in a month (assumedly)= 5/3 months 1.66
4 0
3 years ago
The mean consumption of water per household in a city was 1425 cubic feet per month. Due to a water shortage because of a drough
liberstina [14]

Answer:

a)t=\frac{1175-1425}{\frac{250}{\sqrt{100}}}=-10    

The degrees of freedom are given by:

df=n-1=100-1=99  

The p value for this case would be given by:

p_v =P(t_{99}  

Since the p value is significantly lower than he significance level given we have enough evidence to reject the null hypothesis and we can conclude that the true mean is lower than 1425

b) For this case we need to find a critical value in the t distribution with  99 degrees of freedom who accumulates 0.025 of the area in the right tail and we got:

t_{\alpha/2}=1.984

Since the calculated value is higher than the critical value we can reject the null hypothesis at the significance level provided and we can say that the true mean is higher than 1425

Step-by-step explanation:

Information given

\bar X=1175 represent the sample mean for the cubic feets of households

\sigma=250 represent the population standard deviation

n=100 sample size  

\mu_o =1425 represent the value to verify

\alpha=0.025 represent the significance level

t would represent the statistic

p_v represent the p value

Part a

We want to test that the mean consumption of water per household has decreased due to the campaign by the city council, the system of hypothesis would be:  

Null hypothesis:\mu \geq 1425  

Alternative hypothesis:\mu < 1425  

Since we don't know the deviation the statistic is given by:

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

The statistic is given by:

t=\frac{1175-1425}{\frac{250}{\sqrt{100}}}=-10    

The degrees of freedom are given by:

df=n-1=100-1=99  

The p value for this case would be given by:

p_v =P(t_{99}  

Since the p value is significantly lower than he significance level given we have enough evidence to reject the null hypothesis and we can conclude that the true mean is lower than 1425

Part b

For this case we need to find a critical value in the t distribution with  99 degrees of freedom who accumulates 0.025 of the area in the right tail and we got:

t_{\alpha/2}=1.984

Since the calculated value is higher than the critical value we can reject the null hypothesis at the significance level provided and we can say that the true mean is higher than 1425

6 0
3 years ago
A fair coin is flipped two times. Which diagram shows all of the possible outcomes?
kirza4 [7]

Answer:

A

Step-by-step explanation:

It is the only one that has both heads and tails equally on all options, instead of heads heads or tails tails. There aren't any fair coins that are like that

hope this helps :)

6 0
2 years ago
war 1 Luz has pound of cherries. She divides the 3 dag int cherries equally into 2 bags. What fraction of pound of cherries is i
irina [24]

Step-by-step explanation:

is the number of unit squares that cover surface of a figure.

8 0
3 years ago
A stereo system cost $275. It was on sale for 15% off. The sales person receives a 2% commission. How much of a commission do th
kkurt [141]
The price of the stereo on sale   
is 
275 - ( 275x15% ) =
233.75 

the comission is 233.75 x 2 % =
233.75 x 2/100 = 4.675 
8 0
3 years ago
Read 2 more answers
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