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VladimirAG [237]
4 years ago
11

This is the last one ....

Mathematics
1 answer:
Morgarella [4.7K]4 years ago
6 0
The slope of the line is 3/5.
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Find x on this special right triangle
tigry1 [53]

Answer:

The answer is 7

Step-by-step explanation:

We know than Tan45=1

Tanx=opp/adj

tan45=y/(7\sqrt{2})/2

Thus y=7\sqrt{2}/2

We know by pythagoras theorem that hyp^2=side^2+side^2

x^{2}=((7\sqrt{2} /2)^{2}+(7\sqrt{2}/2)^{2}

x^{2}=(49(2)/4)+(49(2)/4)

x^{2}=(49/2)+(49/2)

x^{2}=(98/2)

x^{2}=49

x=7

6 0
3 years ago
What ratio compare to the number 100
ella [17]

<em>♥️</em><em>Hello</em><em> </em><em>♥️</em>

☑☑〽️ 100 number = 400 number

☑☑ 100 bet 3 odds 400 win will be in the form.

<em>@</em><em>MorbidAngella</em><em> </em>

7 0
3 years ago
In a recent study of statistics students, a random sample of students were asked to provide the number of hours per week they sp
Airida [17]

Answer:

ME=\frac{Upper-Lower}{2}= \frac{8.15-6.55}{2}= 0.80

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

For this case the confidence interval is given by (6.55,8.15). And we can estimate the margin of error with this formula since the confidence interval is symmetrical:

ME=\frac{Upper-Lower}{2}= \frac{8.15-6.55}{2}= 0.80

3 0
3 years ago
At the mall, Leona bought a T-shirt and a book for a total of $34. The book cost $12. How much did the T-shirt cost?
wolverine [178]

Answer:

a. the cost of the t-shirt

b. x+12=34

c. x=22

d. t-shirt cost 22$

7 0
3 years ago
Read 2 more answers
In his free time Gary spends 10 hours per week on the internet and 9 hours per week on video games. If Gary has 5 hours of free
cluponka [151]

Answer:

Percentage of free time Gary spends on playing video games and using internet = 54.29%

Step-by-step explanation:

Given:

Gary spends 10 hours per week on the internet.

Gary spends 9 hours per week on video games.

Gary has 5 hours free time per day.

To find the percentage of free time Gary is using to play video game and use the internet.

Solution:

Total number of hours of free time Gary has per week = 5\times 7=35

<em>[As there are 7 days in a week so we multiply by 7]</em>

Total number of hours of free time Gary spends on playing video games and using internet per week = 10+9=19

Percentage of free time Gary spends on playing video games and using internet per week can be calculated as :

⇒ \frac{\textrm{Total time spent on playing video games and using internet per week}}{\textrm{Total free time in a week}}\times 100

⇒ \frac{19}{35}\times 100

⇒ 54.29% (Answer)

4 0
3 years ago
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