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FromTheMoon [43]
3 years ago
6

Bradley bought 2 cakes for his class Valentines's party. There are 23 students in his class. How much cake will each student rec

eive?
Mathematics
1 answer:
Cloud [144]3 years ago
4 0
So 2 divded into 23 parts =2/23 which is simplest form

so each person will recieve 2/23 of a cake
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The mean resting pulse rate for men is 72 beats per minute. A simple random sample of men who regularly work out at Mitch's Gym
BARSIC [14]

Answer:

We conclude that the mean resting pulse rate for men is 72 beats per minute.

Step-by-step explanation:

We are given that he mean resting pulse rate for men is 72 beats per minute. Assume that the standard deviation of the resting pulse rates of all men who work out at Mitch's Gym is known to be 2.6 beats per minute.

A simple random sample of men who regularly work out at Mitch's Gym is obtained and their resting pulse rates (in beats per minute) are listed below;

87, 89, 69, 63, 70, 65, 88, 84, 58, 53, 66, 70.

Let \mu = <u><em>mean resting pulse rate for men.</em></u>

SO, Null Hypothesis, H_0 : \mu = 72 beats/minute     {means that the mean resting pulse rate for men is 72 beats per minute}

Alternate Hypothesis, H_A : \mu < 72 beats/minute      {means that the mean resting pulse rate for men is less than 72 beats per minute}

The test statistics that would be used here <u>One-sample z-test statistics</u> as we know about population standard deviation;

                            T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean mean resting pulse rate = \frac{\sum X}{n}

                =  \frac{87+ 89+ 69 +63 +70 +65+ 88+ 84+ 58+ 53+ 66+ 70}{12}  = 71.83 beats/minute

            \sigma = population standard deviation = 2.6 beats per minute

            n = sample of men = 12

So, <u><em>the test statistics</em></u>  =  \frac{71.83 - 72}{\frac{2.6}{\sqrt{12} } }    

                                     =  -0.23

The value of z test statistics is -0.23.

<u></u>

<u>Also, P-value of the test statistics is given by;</u>

            P(Z < -0.23) = 1 - P(Z \leq 0.23)

                                 = 1 - 0.59095 = <u>0.40905</u>

Now, at 0.05 significance level the z table gives critical value of -1.645 for left-tailed test.

Since our test statistic is more than the critical value of z as -0.23 > -1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <em><u>we fail to reject our null hypothesis</u></em>.

Therefore, we conclude that the mean resting pulse rate for men is 72 beats per minute.

3 0
3 years ago
Somebody once told me the world is gonna roll me
nikdorinn [45]

Answer:

same

Step-by-step explanation:

8 0
3 years ago
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2. Carter took 56 seconds to ride his bike a distance of 392 feet. At what rate, in feet per
ki77a [65]

Answer: 7 ft/sec

Step-by-step explanation:

To find the speed in feet per second, we divide distance by time.

=392/56= 7

Carter rode his bike at 7 ft/sec

5 0
3 years ago
If a person flips a coin and then rolls a six dash sided die​, describe the sample space of possible outcomes using Upper H comm
xenn [34]

Answer:

Sample Space (S) = { (1,H), (1,T), (2,H), (2,T), (3,H), (3,T), (4,H), (4,T), (5,H), (5,T), (6,H), (6,T) }  

Step-by-step explanation:

If a person flips a coin; the possible outcomes of flipping a coin are { Head (H), Tail (T) }

If a person rolls a six dash side die, the possible outcomes of rolling a dice are { 1, 2, 3, 4, 5, 6 }

Now, If a person flips a coin and then rolls a six dash side die;

The Sample Space (S) which is the set of all the possible outcomes of the activities carried out can be described as follows:

DIE                               COIN  →

↓                                      

                                        H                               T          

1                                      (1,H)                             (1,T)

2                                    (2,H)                             (2,T)

3                                    (3,H)                             (3,T)

4                                    (4,H)                             (4,T)

5                                    (5,H)                             (5,T)

6                                    (6,H)                             (6,T)

Sample Space (S) = { (1,H), (1,T), (2,H), (2,T), (3,H), (3,T), (4,H), (4,T), (5,H), (5,T), (6,H), (6,T) }  

3 0
3 years ago
When 6x^2-4x+3 is subtracted from 3x^2-2x+3 The result is
Svetach [21]
3x^2 -6x + 6 :) hope this is alright
4 0
3 years ago
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