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dem82 [27]
2 years ago
14

Between them Molly and Sue have 32 marbles. Molly has 3 times as many as Sue. How many marbles does each girl have?

Mathematics
1 answer:
I am Lyosha [343]2 years ago
3 0

Answer:

Sue has 8 marbles

Molly has 8 marbles

Step-by-step explanation:

m = number of marbles Molly has

s =  number of marbles that sue has

m+s =32

m = 3s

Substitute the second equation into the first  equation

3s+s =32

4s = 32

Divide by 4

4s/4 =32/4

s = 8

Sue has 8 marbles

m = 32 = 3*8 = 24

Molly has 8 marbles

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777dan777 [17]
Am not sure but Y=-x+2
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3 years ago
8 Taylor has a bag of 10 fruit loops. Five loops are red, two are yellow, and three are green. If she has a larger bag that cont
Svetllana [295]

Answer:

12

Step-by-step explanation:

There are 2 yellow out of 10.

2/10 = 1/5

1/5 of the total number is yellow.

1/5 of 60 =

= 1/5 * 60

= 12

Answer: 12

7 0
3 years ago
Tanner and Zach both play basketball. In a game, Tanner scored six points. Zach scored four times as many times as Tanner. How m
MAVERICK [17]

Answer:

24

Step-by-step explanation:

Tanner has <u>6 points</u> so T = 6

Zach has <u>four times as many</u> so Z = 4T

4 * T

= 4 * 6

which is 24.

8 0
3 years ago
Please help me on this!!<br> 5n+17≥n–3≥–15+5n
DENIUS [597]

Answer:

-5 ≤ n ≤ 3

Step-by-step explanation:

Firstly we solve the equation two at a time;

5n + 17 ≥ n - 3

5n - n ≥ -3 - 17

4n ≥ -20

n ≥ -5

-5 ≤ n

n - 3 ≥ -15 + 5n

n - 5n ≥ -15 + 3

-4n ≥ -12

-n ≥ -3

n ≤ 3

Therefore,

5n+17 ≥ n–3 ≥ –15+5n, becomes

-5 ≤ n ≤ 3

6 0
3 years ago
Many high school students take the AP tests in different subject areas. In 2007, of the 144,796 students who took the biology ex
Nataly [62]

Answer:

(0.582-0.485) - 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.0942  

(0.582-0.485) + 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.09978  

And the 90% confidence interval would be given (0.0942;0.09978).  

We are confident at 90% that the difference between the two proportions is between 0.0942 \leq p_A -p_B \leq 0.09978

Step-by-step explanation:

Previous concepts

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 means 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.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

p_A represent the real population proportion female for Biology

\hat p_A =\frac{84199}{144796}=0.582 represent the estimated proportion female for biology

n_A=144796 is the sample size for A

p_B represent the real population proportion female for calculus AB

\hat p_B =\frac{102598}{211693}=0.485 represent the estimated proportion female for Calculus AB

n_B=211693 is the sample size required for B

z represent the critical value for the margin of error  

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})  

The confidence interval for the difference of two proportions would be given by this formula  

(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}  

For the 90% confidence interval the value of \alpha=1-0.90=0.1 and \alpha/2=0.05, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=1.64  

And replacing into the confidence interval formula we got:  

(0.582-0.485) - 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.0942  

(0.582-0.485) + 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.09978  

And the 90% confidence interval would be given (0.0942;0.09978).  

We are confident at 90% that the difference between the two proportions is between 0.0942 \leq p_A -p_B \leq 0.09978

5 0
3 years ago
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