Answer:
12 hits
Step-by-step explanation:
Let x be the number of hits needed
1 hit equals an at-bat.
(45+x)hits / (130+x)at-bats = 0.4
(45+x) = 0.4(130+x)
45 + x = 52 + 0.4x
45 - 52 = 0.4x - x
-7 = -0.6x
x = -7/-0.6
x = 11.667
x = 12(approximately)
12 hits are necessary since there are no fraction of hits
Answer: ![\dfrac{9}{10}](https://tex.z-dn.net/?f=%5Cdfrac%7B9%7D%7B10%7D)
Step-by-step explanation:
From the table , the total number of numbers = 10
The group of 5 digits contain less than or equal to 2 even digits = 55170
i.e. The total group of 5 digits contain at least 2 =![10-1=9](https://tex.z-dn.net/?f=10-1%3D9)
Now, the probability that a group of 5 random digits will contain at least 2
even digits is given by :-
![=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}=\dfrac{9}{10}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B%5Ctext%7BFavorable%20outcomes%7D%7D%7B%5Ctext%7BTotal%20outcomes%7D%7D%3D%5Cdfrac%7B9%7D%7B10%7D)
Hence, the probability that a group of 5 random digits will contain at least 2 even digits ![=\dfrac{9}{10}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B9%7D%7B10%7D)
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3Honolulu; Washington, D.C.; Nome; Base Esperanza
Answer:
hours more.
Step-by-step explanation:
We have been given that Linda planned to spend 9 hours practicing piano this week. By Tuesday, she had spent 2 1/2 hours practicing.
To find number of hours Linda needs to practice to reach her goal, we will subtract 2 1/2 from 9 as:
![9-2\frac{1}{2}](https://tex.z-dn.net/?f=9-2%5Cfrac%7B1%7D%7B2%7D)
Convert mixed fraction into improper fraction:
![2\frac{1}{2}\Rightarrow \frac{2\times 2+1}{2}=\frac{4+1}{2}=\frac{5}{2}](https://tex.z-dn.net/?f=2%5Cfrac%7B1%7D%7B2%7D%5CRightarrow%20%5Cfrac%7B2%5Ctimes%202%2B1%7D%7B2%7D%3D%5Cfrac%7B4%2B1%7D%7B2%7D%3D%5Cfrac%7B5%7D%7B2%7D)
![9-2\frac{1}{2}\Rightarrow 9-\frac{5}{2}](https://tex.z-dn.net/?f=9-2%5Cfrac%7B1%7D%7B2%7D%5CRightarrow%209-%5Cfrac%7B5%7D%7B2%7D)
![\frac{9*2}{2}-\frac{5}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B9%2A2%7D%7B2%7D-%5Cfrac%7B5%7D%7B2%7D)
![\frac{18}{2}-\frac{5}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B18%7D%7B2%7D-%5Cfrac%7B5%7D%7B2%7D)
Combine numerators:
![\frac{18-5}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B18-5%7D%7B2%7D)
![\frac{13}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B2%7D)
![6\frac{1}{2}](https://tex.z-dn.net/?f=6%5Cfrac%7B1%7D%7B2%7D)
Therefore, Linda needs to practice
hours more to reach her goal.
Para calcular isto, temos que dividir 28 por 4, que dá 7. Neste contexto, 7 é 1/4 de 28, o número de pontos marcad .
Resposta: Denay marcou 7 pontos durante o jogo.