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Elodia [21]
2 years ago
9

Heather has a bag with 8 marbles, 8 tennis balls, 4 apples, and 5 books. What is the ratio of books to tennis balls? 4:7, 8:8, 8

:5, 5:8
Mathematics
1 answer:
mafiozo [28]2 years ago
3 0

Answer:

The ratio is 5:8.

Step-by-step explanation:

Since we are looking for books and tennis balls, we have to look at how many there are. There are 5 books and 8 tennis balls. We're looking for the ratio of books to tennis balls, so it has to be in that order. 5:8

I hope this helped! :-)

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An engineer is comparing voltages for two types of batteries (K and Q) using a sample of 37 type K batteries and a sample of 58
Olegator [25]

Answer:

Hypothesis Test states that we will accept null hypothesis.

Step-by-step explanation:

We are given that an engineer is comparing voltages for two types of batteries (K and Q).

where, \mu_1 = true mean voltage for type K batteries.

           \mu_2 = true mean voltage for type Q batteries.

So, Null Hypothesis, H_0 :  \mu_1 = \mu_2 {mean voltage for these two types of

                                                        batteries is same}

Alternate Hypothesis, H_1 : \mu_1 \neq \mu_2 {mean voltage for these two types of

                                                          batteries is different]

<em>The test statistics we use here will be :</em>

                     \frac{(X_1bar-X_2bar) - (\mu_1 - \mu_2) }{s_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}  } }  follows t_n__1 + n_2  -2

where, X_1bar = 8.54         and     X_2bar = 8.69

                s_1  = 0.225       and         s_2     =  0.725

               n_1   =  37           and         n_2     =  58

               s_p = \sqrt{\frac{(n_1-1)s_1^{2}+(n_2-1)s_2^{2}  }{n_1+n_2-2} } =   \sqrt{\frac{(37-1)0.225^{2}+(58-1)0.725^{2}  }{37+58-2} }  =  0.585               Here, we use t test statistics because we know nothing about population standard deviations.

     Test statistics =  \frac{(8.54-8.69) - 0 }{0.585\sqrt{\frac{1}{37}+\frac{1}{58}  } } follows t_9_3

                             = -1.219

<em>At 0.1 or 10% level of significance t table gives a critical value between (-1.671,-1.658) to (1.671,1.658) at 93 degree of freedom. Since our test statistics is more than the critical table value of t as -1.219 > (-1.671,-1.658) so we have insufficient evidence to reject null hypothesis.</em>

Therefore, we conclude that mean voltage for these two types of batteries is same.

6 0
2 years ago
Help Me quick please!!!
Musya8 [376]

Let the width of room be =x mtrs

Then the length is x+2 mtrs

As Perimeter = 2(l+b) = 2(x+x+2)

16 = 2 ( 2x+2)

16/2 = 2x +2

8=2x+2

2x= 8-2 = 6

x = 6/2 =3 mtrs

Therefore width of the room is 3 mtrs

7 0
3 years ago
Read 2 more answers
Factor the expression 16j^+24j+9. Thank u I appreciate it
meriva
Factor the expression.
3(128j+3)
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3 years ago
Mike bought 2 3/4 pounds of riceHe wants to distribute it among bins that each hold 1/3 pound of rice. How many bins can he comp
KATRIN_1 [288]

Answer:

8 bins filled completely; remaining rice fills ⅓ bin.

Step-by-step explanation:

7 0
2 years ago
Solve the equation 3+2/5x=11-2/5x using at least two different sequences of steps. Show your work for each step.​
Rina8888 [55]
First combine like terms ,
5/5x=9/5x
move the variable which will cancel out because it is the same
5=9 is no solution sorry if i’m wrong lol
4 0
2 years ago
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