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nasty-shy [4]
3 years ago
14

Alejandro has gone to school StartFraction 5 Over 7 EndFraction of the last 35 days. Which expression can be used to determine t

he number of days Alejandro has gone to school?
35 divided by 7 = StartFraction 5 Over 7 EndFraction
35 times StartFraction 5 Over 7 EndFraction
StartFraction 5 Over 7 EndFraction divided by 35
StartFraction 7 Over 5 EndFraction divided by 35
Mathematics
1 answer:
Katarina [22]3 years ago
6 0

Answer:

35 times StartFraction 5 Over 7 EndFraction

Step-by-step explanation:

Alejandro has gone to school (5/7) of the last 35 days.

We need to find the expression that can be used to determine the number of days Alejandro has gone to school.

x=\dfrac{5}{7}\times 35\\\\=5\times 5\\\\=25

So, the correct option is (b) "35 times StartFraction 5 Over 7 EndFraction".

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721 + 19 =<br>886 + 33 -<br>447 22=<br>915 + 36 =<br>??​
timama [110]

Answer:

Step-by-step explanation:

5 0
3 years ago
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The authors of a paper describe an experiment to evaluate the effect of using a cell phone on reaction time. Subjects were asked
Serggg [28]

Answer:

a) The 99% confidence interval would be given by (24.409;24.979)  

b) n=464

Step-by-step explanation:

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".  

Part a

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

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

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:  

df=n-1=47-1=46  

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,46)".And we see that t_{\alpha/2}=2.01  

Now we have everything in order to replace into formula (1):  

525-2.01\frac{75}{\sqrt{47}}=503.01  

525+2.01\frac{75}{\sqrt{47}}=546.99  

So on this case the 95% confidence interval would be given by (503.01;546.99)

Part b

The margin of error is given by this formula:  

ME=t_{\alpha/2}\frac{s}{\sqrt{n}} (1)  

And on this case we have that ME =7 msec, we are interested in order to find the value of n, if we solve n from equation (1) we got:  

n=(\frac{t_{\alpha/2} s}{ME})^2 (2)  

The critical value for 95% of confidence interval is provided, t_{\alpha/2}=2.01 from part a, replacing into formula (2) we got:  

n=(\frac{2.01(75)}{7})^2 =463.79 \approx 464  

So the answer for this case would be n=464 rounded up to the nearest integer  

8 0
3 years ago
Find the value of 3/4 of 10
Tpy6a [65]

Answer:

Step-by-step explanation:

7.5

4 0
3 years ago
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MAXImum [283]

Answer: \frac{1}{b^6}   or b^{-6}  

Step-by-step explanation:

\frac{b^-2+2}{b^4+2}   Add the exponent two to both sides.  After adding -2 and     2 you get 0 and any number raised to the zero power is one. And 4 plus two is 6

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3 0
3 years ago
I will give brainliest
allochka39001 [22]

Answer:

1) Yes 2)No

Step-by-step explanation:

1) Yes because the two shorter lines combined are longer than the base and so those two lines are able to make a triangle.

2) No because the two lines on top will be equal to base line and so the two shorter lines will not be able to make a third angle because it will be level with the base.

4 0
3 years ago
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