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Blababa [14]
3 years ago
8

Solve: x + 1 < 5Me confused and need help ​

Mathematics
1 answer:
natita [175]3 years ago
4 0

Answer: x < 4

Step-by-step explanation: You are trying to isolate the variable, x, so you have to subtract 1 on both sides of the inequality. Then, you are left with x < 4.

You might be interested in
B. What is the probability that you don’t roll a 2 or a 3, P (NOT a 2 or 3)? Explain your reasoning. (2 points possible)
puteri [66]

Answer:

The probability that you don’t roll a 2 or a 3 = 2/3

Step-by-step explanation:

Formula for Probability = Number of Possible Outcomes / Number of events

We are told in the question that it is just a one number cube. This means that :

We have the Probability of rolling the 6 sided cube and obtaining, 1, 2, 3, 4, 5, and 6.

We are told in the question to find the probability of not rolling a 2 or 3.

Hence, this means

Probability( not a 2 or 3) = Probability( of a 1 or 4 or 5 or 6).

Therefore,

Probability (of rolling a 1) = 1/6

Probability (of rolling a 4) = 1/6

Probability (of rolling a 5) = 1/6

Probability (of rolling a 6) = 1/6

Therefore, Probability( not a 2 or 3) = Probability( of a 1 or 4 or 5 or 6) = P(1) + P(4) + P(5) + P(6)

= 1/6 +1/6 + 1/6 + 1/6

= 4/6

= 2/3.

Therefore, the probability that you did not roll a 2 or 3 ( i.e P( not 2 or 3)) = 2/3

4 0
3 years ago
2. A particular resource class must perform at a level consistent with the rest of the school to avoid being discontinued. On th
Natali5045456 [20]

Answer:

t=\frac{71.86-78}{\frac{17.52}{\sqrt{14}}}=-1.311  

p_v =P(t_{13}  

If we compare the p value and a significance level assumed for example \alpha=0.05 we see that p_v>\alpha so we can conclude that we FAIL to reject the null hypothesis, and the actual true mean for the scores is NOT significant less than 78.  

Step-by-step explanation:

Data given and notation  

\bar X=71.86 represent the sample mean  

s=17.52 represent the standard deviation for the sample  

n=14 sample size  

\mu_o =78 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

t 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 determine if the mean is less than 78, the system of hypothesis would be:  

Null hypothesis:\mu \geq 78  

Alternative hypothesis:\mu < 78  

We don't know the population deviation, so for this case 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{71.86-78}{\frac{17.52}{\sqrt{14}}}=-1.311  

Calculate the P-value  

First we need to find the degrees of freedom given by:

df=n-1=14-1=13

Since is a one-side left tailed test the p value would be:  

p_v =P(t_{13}  

Conclusion  

If we compare the p value and a significance level assumed for example \alpha=0.05 we see that p_v>\alpha so we can conclude that we FAIL to reject the null hypothesis, and the actual true mean for the scores is NOT significant less than 78.  

3 0
3 years ago
Jaden bought extra chicken because they’re on sale he wants to store them in the freezer which is such a -2°F he decided to turn
Maslowich

Answer:

-2 - 5

-(2+5)

=7

Answer: -7 °F

8 0
3 years ago
Need help with this problem!! Point X is the midpoint of HI. What is the coordinate of the point X?
dimaraw [331]

Answer:

1

Step-by-step explanation:

The midpoint is the average of the points H and I

midpoint = | \frac{-2+4}{2} | = | \frac{2}{2} | = | 1 | = 1

6 0
3 years ago
Common<br>factors of 10 and 20​
BabaBlast [244]

Answer:

Step-by-step explanation:

common factor of 10 and 20 is 2 and 10 because 2 and 10 are the numbers which didides both the number exactly.

8 0
3 years ago
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