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Otrada [13]
3 years ago
5

Nine less than a number is no more than 8 and is no less than 3

Mathematics
1 answer:
frozen [14]3 years ago
7 0

9 - x < 8 => -x < 8 - 9 => -x < -1 => x > 1

9 - x > 3 => -x > 3 -9 => -x > -6 => x < 6

So the number is between 1 and 6, notation 1 < x < 6

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Chen spent 7 hours at school on Friday he spent 30 minutes at lunch 50 minutes at a school assembly and the rest in class how mu
Helga [31]

Answer:

5 hours and 40 minutes would be class

Step-by-step explanation:

We know that the total time is 7 hours, which in minutes would be:

7 * 60 = 420

420 minutes would be class, now, we subtract the other times that are not to be in class and it would be:

420 - 30 - 50 = 340

So we could say that in class it takes 340 minutes, and if we spend hours it would be:

340/60 = 5.67 hours or also 5 hours and 40 minutes would be class.

4 0
2 years ago
The expression 7 + 2(x – 3) + 5x is simplified correctly in the correct order. Which of the steps has an incorrect justification
timama [110]

  7 + 2(x - 3) + 5x

= 7 +  2x - 6  + 5x     <em>distributed 2 into x - 3</em>

= 7 - 6  +  2x + 5x     <em>grouped like terms together</em>

=    1     +     7x

You didn't provide an image of the steps but hopefully you can figure it out based on the information I provided.

6 0
3 years ago
Read 2 more answers
An advertising executive claims that there is a difference in the mean household income for credit cardholders of Visa Gold and
Maslowich

Answer:

Null hypothesis:\mu_{Visa}=\mu_{Mastercard}

Alternative hypothesis:\mu_{Visa} \neq \mu_{Mastercard}

t=\frac{66970-59060}{\sqrt{\frac{9500^2}{11}+\frac{10000^2}{17}}}}=2.108  

p_v =2*P(t_{26}>2.108)=0.0448

Comparing the p value with the significance level given \alpha=0.1 we see that p_v so we can conclude that we can reject the null hypothesis, and a would be a significant difference between the  in the mean household income for credit cardholders of Visa Gold and of MasterCard Gold at 10% of significance .

Step-by-step explanation:

Data given and notation

\bar X_{Visa}=66970 represent the mean for Visa

\bar X_{Mastercard}=59060 represent the mean for the sample Mastercard

s_{Visa}=9500 represent the population standard deviation for Visa

s_{Mastercard}=10000 represent the population standard deviation for Mastercard

n_{Visa}=11 sample size for the group Visa

n_{Mastercard}=17 sample size for the group Mastercard

t would represent the statistic (variable of interest)

\alpha=0.1 significance level provided

Develop the null and alternative hypotheses for this study?

We need to conduct a hypothesis in order to check if the means for the two groups are different, the system of hypothesis would be:

Null hypothesis:\mu_{Visa}=\mu_{Mastercard}

Alternative hypothesis:\mu_{Visa} \neq \mu_{Mastercard}

Since we don't know the population deviations for each group, for this case is better apply a t test to compare means, and the statistic is given by:

z=\frac{\bar X_{Visa}-\bar X_{Masterdcard}}{\sqrt{\frac{s^2_{Visa}}{n_{Visa}}+\frac{s^2_{Mastercard}}{n_{Mastercard}}}} (1)

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the value of the test statistic for this hypothesis testing.

Since we have all the values we can replace in formula (1) like this:

t=\frac{66970-59060}{\sqrt{\frac{9500^2}{11}+\frac{10000^2}{17}}}}=2.108  

What is the p-value for this hypothesis test?

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

df= n_{Visa}+n_{Mastercard}-2 = 11+17-2= 26

Since is a bilateral test the p value would be:

p_v =2*P(t_{26}>2.108)=0.0448

Based on the p-value, what is your conclusion?

Comparing the p value with the significance level given \alpha=0.1 we see that p_v so we can conclude that we can reject the null hypothesis, and a would be a significant difference between the  in the mean household income for credit cardholders of Visa Gold and of MasterCard Gold at 10% of significance .

4 0
3 years ago
Please help I’m having trouble understanding this question
Nikolay [14]

Answer: <1 = 26°

Step-by-step explanation:

given that:

• <ABD = 66°

• <2 = 14° + <1 (since ''more than' means we add)

• Find <1

Since it is obvious that <ABD is a sum of <1 and <2:

⇒ <ABD = <1 + <2

now we know that <2 is 14° more than <1 and that <ABD = 66°

⇒ 66° = <1 + (14° + <1)

⇒ 66° = <1 + 14° + <1

⇒ <1 = (66° - 14°) ÷ 2

⇒ <1 = 26° ...Answer...

hope that helps...

8 0
2 years ago
Expand (- 3a - 5x) (- 2b - 4y).​
vekshin1

Answer:  −3a(−2b−4y).−5x(−2b−4y). to this  

6ab+12ay+10bx+20xy

Step-by-step explanation: hope this helps :)

8 0
3 years ago
Read 2 more answers
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