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Art [367]
3 years ago
10

Four balls of wool will make 8 knitted caps. How many balls of wool will Malcom need if he wants to make 6 caps. Explain with Ra

tio table.
Mathematics
1 answer:
hoa [83]3 years ago
3 0

8/4 = 2 caps per ball of wool

 so 6/2 = 3 balls of wool are needed.

4/8 = x/6

8x/24

x = 24/8 = 3

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H(x) = x2<br> j(x) = 2x2-5<br> find h(x) - j(x)
yKpoI14uk [10]

Answer:

Step-by-step explanation:

h(x) - j(x) => x^2-(2x^2-5)

The negative sign out in front of the set of parenthesis changes the signs of everything inside the parenthesis, so now we have, without parenthesis:

x^2-2x^2+5 which simplifies down to

-x^2+5

4 0
3 years ago
For pigs, the length of pregnancies varies according to a normal distribution with a mean of 114 days and a standard deviation o
riadik2000 [5.3K]

Answer: The length of approximately 68% of all pig pregnancies will fall between <u>109 days</u> and <u>119 days</u>.

Step-by-step explanation:

According to the empirical rule , 68% of the population falls within one standard deviations from the mean.

Given : For pigs, the length of pregnancies varies according to a normal distribution with a mean of 114 days and a standard deviation of 5 days.

According to the Empirical Rule, the length of approximately 68% of all pig pregnancies will fall between 114-1(5) days  and 114+1(5) days .

i.e. the length of approximately 68% of all pig pregnancies will fall between <u>109 days</u> and <u>119 days</u>.

7 0
2 years ago
Of the 2,598,960 different five-card hands possible from a deck of 52 playing cards, how many would contain all black cards.
kumpel [21]

Answer: 65,780

Step-by-step explanation:

When we select r things from n things , we use combinations and the number of ways to select r things = ^nC_r=\dfrac{n!}{(n-r)!r!}

Given : The total number of playing cards in a deck = 52

The number of different five-card hands possible from a deck = 2,598,960

In a deck , there are 26 black cards and 26 red cards.

The number of ways to select 5 cards from 26 cards = ^{26}C_{5}=\dfrac{26!}{(26-5)!5!}

=\dfrac{26\times25\times24\times23\times22\times21!}{21!(120)}=65780

Hence, the number of different five-card hands possible from a deck of 52 playing cards such that all are black cards = 65,780

3 0
3 years ago
Solve this system of equations:<br> y = 3x<br> 2y + x = 14
a_sh-v [17]

Answer:

= 3 ^ 2 + = 1 4

Step-by-step explanation:

6 0
3 years ago
you should spend one week worth of pay on rent. she makes 32,000 a year. what is max she should spend
deff fn [24]

Hi!


We know she makes $32,000 a year, but we need to know how much she makes in a week. Which leads us to the question,"How many weeks are in a year?".


There are about 52 weeks in a year.


To found out how much money she makes per week, divide.


money per week

32000/52 = 615.384615


I'm not sure if they want you to round up, or round down, or what, but the exact answer is 615.384615.


Hope this helps! :) -Peredhel

8 0
3 years ago
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