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alina1380 [7]
2 years ago
11

Sam's age is 125% of mary's age. mary's age is p% of sam's age. what is the value of p?

Mathematics
1 answer:
ddd [48]2 years ago
7 0
Let Sam be (S+8) years while his sister is S years.

S(S+8) = 105

S^2+8S-105 = 0

(S+15)(S-7) = 0

Sam’s sister is 7 years and Sam is 15 years old.
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According to a polling​ organization, 24% of adults in a large region consider themselves to be liberal. A survey asked 200 resp
Varvara68 [4.7K]

Answer:

z=\frac{0.375 -0.24}{\sqrt{\frac{0.24(1-0.24)}{200}}}=4.47  

Now we can calculate the p value based on the alternative hypothesis with this probability:

p_v =P(z>4.47)=0.00000391  

The p value is very low compared to the significance level of \alpha=0.05 then we can reject the null hypothesis and we can conclude that the true proportion of people liberal is higher than 0.24

Step-by-step explanation:

Information given

n=200 represent the random sample taken

X=75 represent the number of people Liberal

\hat p=\frac{75}{200}=0.375 estimated proportion of people liberal

p_o=0.24 is the value that we want to test

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to verify if the true proportion of adults liberal is higher than 0.24:

Null hypothesis:p \leq 0.24  

Alternative hypothesis:p > 0.24  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we got:

z=\frac{0.375 -0.24}{\sqrt{\frac{0.24(1-0.24)}{200}}}=4.47  

Now we can calculate the p value based on the alternative hypothesis with this probability:

p_v =P(z>4.47)=0.00000391  

The p value is very low compared to the significance level of \alpha=0.05 then we can reject the null hypothesis and we can conclude that the true proportion of people liberal is higher than 0.24

6 0
3 years ago
Which is greater 1.831 or 1.381?​
Ivahew [28]

Answer:

1.831

OI JOSUKE

Step-by-step explanation:

4 0
3 years ago
When the transmogrifiers are made at the factory, they move along a conveyer belt. Every 8th transmogrifier gets a blue control
MaRussiya [10]

Answer:

  • Blue - 18, green - 50, with photo - 37

Step-by-step explanation:

<u>Total number = 150</u>

  • Blue = 150/8 = 18 (integer part)
  • Green = 150/3 = 50
  • Spaceman Spiff autograph = 150/4 = 37 (integer part)
4 0
3 years ago
Read 2 more answers
Ryan runs 3 miles in 28 minutes. at the same rate, how many miles would he run in 42 minutes?
Sphinxa [80]
If 3mile=28 min
x mile=42 min
cross multiply
x=3/28
therefore if 3/28=1 min
then x mile= 42 min
cross multiply
42 x 3/28 =21 x 3/14
                =3 x 3/1
                =9
The answer is 9 miles
5 0
3 years ago
Help quick please. Order the numbers from least to greatest.
Anastasy [175]

Answer:

-2\frac{1}{4}

Step-by-step explanation:

Mod of any number represents the absolute value of the number.

Therefore, |-2\frac{1}{4}|=2\frac{1}{4} = 2.25

-2\frac{1}{4}=-2.25

|1\frac{1}{4}|=1.25

\frac{3}{4}=0.75

|-1\frac{3}{4}|=1\frac{3}{4}=1.75

-1\frac{1}{4}=-1.25

Now we can arrange these numbers in ascending order.

-2.25 < -1.25 < 0.75 < 1.25 < 1.75 < 2.25

Therefore, -2\frac{1}{4}

4 0
3 years ago
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