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Aleks04 [339]
3 years ago
14

On a track for remote controlled racing cars racing car A completes the track in 28 seconds while racing car B completes it in 2

4 seconds.if they both start at the same time after how many seconds will they be side by side again ?
Mathematics
2 answers:
ankoles [38]3 years ago
5 0
We'll take out LCM of 24 seconds and 28 seconds.
that is, 168 seconds.

That means,
Car A and Car B will be side by side to each other after 2 mins 48 seconds after start.
Wewaii [24]3 years ago
4 0

Answer:

After 168 seconds, both the cars will be side by side again.

Step-by-step explanation:

On a track for remote controlled racing cars racing car A completes the track in 28 seconds while racing car B completes it in 24 seconds.

To know after how many seconds will they be side by side again, we will find the LCM of 24 and 28.

24 = 2 x 2 x 2 x 3

28 = 2 x 2 x 7

LCM is = 2 x 2 x 2 x 3 x 7 = 168

Hence, after 168 seconds, both the cars will be side by side again.

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The sugar content of the syrup in canned peaches is normally distributed. A random sample of n = 10 cans yields a sample standar
Serggg [28]

Answer:

The 95% confidence interval is given by:

3.30<σ<8.76

Step-by-step explanation:

1) Data given and notation

s=4.798 represent the sample standard deviation

\bar x represent the sample mean

n=10 the sample size

Confidence=95% or 0.95

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 mean or variance 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.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

df=n-1=10-1=9

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 tabel to find the critical values.  

The excel commands would be: "=CHISQ.INV(0.025,9)" "=CHISQ.INV(0.975,9)". so for this case the critical values are:

\chi^2_{\alpha/2}=19.022

\chi^2_{1- \alpha/2}=2.700

And replacing into the formula for the interval we got:

\frac{(9)(4.798)^2}{19.022} \leq \sigma \frac{(9)(4.798)^2}{2.700}

10.892 \leq \sigma^2 \leq 76.736

Now we just take square root on both sides of the interval and we got:

3.30 \leq \sigma \leq 8.76

So the best option would be:

3.30<σ<8.76

7 0
2 years ago
What is the geometric mean between 9/16 and 25/36
sergiy2304 [10]

Answer:

5/8

Step-by-step explanation:

Geometric mean is found by multiplying the n number of values and then taking the n-root.

To do this with these numbers, sqrt((9/16)*(25/36)) = (3/4)(5/6) = (1/4)(5/2)= 5/8

I hope this helps! :)

6 0
2 years ago
I dont know this question i will give you brainly
Vinvika [58]

Answer:

11z/4+3/10

Step-by-step explanation:

Distribute first then combine like terms.

5 0
2 years ago
Read 2 more answers
The roots of a quadratic equation are (1,0) and (-5,0). What is the axis of symmetry?
leva [86]

Answer:

Step-by-step explanation:

The axis of symmetry lies exactly halfway between the given x = 1 and x = -5.

The axis of symmetry is x = -2.

The 'halfway' value is also the 'average' of 1 and -5:  -4/2, or -2.

The axis of symmetry is x = -2.

8 0
3 years ago
What is the area of this polygon?
elena55 [62]
A= 192 cm squared
Why?
17 x 10= 170
4 x 11= 44
44 divided by 2 =22
170+ 22= 192 cm squared
3 0
2 years ago
Read 2 more answers
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