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natima [27]
1 year ago
7

marta bought new fish for her home aquarium. she bought 3 guppies and 2 platies for a total of 13.95. hank also ought guppies an

d platies for his aquarium. He bought 3 guppies and 4 platies for 18.33. Find the price of the guppy and the price of the platy
Mathematics
1 answer:
Ganezh [65]1 year ago
8 0
<span>Marta bought fish for his aquarium.
=> 3 guppies
=> 2 platies
=> total amount she paid = 13.95

Hank also bought fish for his aquarium
=> 3 guppies
=> 4 platies
=> Total amount he paid = 18.33

Notice that Hank and Marth bought the same number of Guppies and only Hank bought 2 additional Platies. Thus, let’s subtract the total of Hank and Martha
=> 18.33 – 13. 95 = 4.38
Thus, Hank paid an additional of 4.34 for 2 platies. Let’s divide to get the price of platies
=> 4.34 / 2 = = 2.19 (price of platies each.)
Let’s solve for price of guppies
=> 13.95 – 4.34 = 9.61
=> 9.61 / 3 = 3.20 (Price of guppies each.)</span>



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Area=πr^2

 find the area then divide by 8


we know that diameter=2radius or diameter/2=radius so 
12=diameter
12/2=radius=6
subsitute
area=π(6)^2
area=36π
divide 36π by 8
36π/8=18π/4=9π/2π=4.5π
area of one section is 4.5π square feet or if we aprox pito 3.14159 then we get
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5 0
2 years ago
A pharmaceutical company proposes a new drug treatment for alleviating symptoms of PMS (premenstrual syndrome). In the first sta
Akimi4 [234]

Answer:

95% confidence interval for p, the true proportion of all women who will find success with this new treatment is [0.238 , 0.762].

Step-by-step explanation:

We are given that a pharmaceutical company proposes a new drug treatment for alleviating symptoms of PMS (premenstrual syndrome).

In the first stages of a clinical trial, it was successful for 7 out of the 14 women.

Firstly, the pivotal quantity for 95% confidence interval for the true proportion is given by;

                             P.Q. = \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of women who find success with this new treatment = \frac{7}{14} = 0.50

          n = sample of women = 14

<em>Here for constructing 95% confidence interval we have used One-sample z proportion statistics.</em>

So, 95% confidence interval for the true proportion, p is ;

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5%

                                            level of significance are -1.96 & 1.96}  

P(-1.96 < \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < 1.96) = 0.95

P( -1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < {\hat p-p} < 1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.95

P( \hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < p < \hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.95

<u />

<u>95% confidence interval for p</u> = [\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } , \hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }]

= [ 0.50-1.96 \times {\sqrt{\frac{0.50(1-0.50)}{14} } } , 0.50+1.96 \times {\sqrt{\frac{0.50(1-0.50)}{14} } } ]

 = [0.238 , 0.762]

Therefore, 95% confidence interval for p, the true proportion of all women who will find success with this new treatment is [0.238 , 0.762].

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2 years ago
You buy a new television for $3,100. The value of the television decreases by 12 percent every year. How much is the television
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Answer:

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A circular city plaza is surrounded by a row of bricks. The area of the plaza is 1,520 square meters. How long is the row of bri
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Answer:

138 meters

Step-by-step explanation:

step 1

Find the radius of the circular city plaza

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A=\pi r^{2}

we have

A=1,520\ m^2

\pi =3.14

substitute

1,520=(3.14)r^{2}

solve for r

r^2=1,520/3.14\\r=22\ m

step 2

we know that

To find out how long is the row of bricks, determine  the circumference of the circular city plaza

The circumference is equal to

C=2\pi r

we have

r=22\ m

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sineoko [7]

Answer:

Their will be enough water for each student to consume 2 cups of water.

Step-by-step explanation:

Grade 3, 4 and 5 have their annual field day together . Each grade level is given 16 gallons of water. This means the three grades have 16 × 3 = 48 gallons of water.

The total students involved is 350 student. The total student is the sum of the student in all three grades.

Since the water will be distributed to the students in cups let us convert gallons to cups.

1 gallons = 16 cups

48 gallons = ? cups

cross multiply

48 × 16 = 768 cups.

768 cups of water is available to be shared among the 350 students.

1 student is entitled to 2 cups of water.

350 students will consume 350 × 2 = 700 cups of water.

Therefore, their will be enough water for each student to consume 2 cups of water.

6 0
2 years ago
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