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liraira [26]
3 years ago
7

PLZZ HELP. ILL MARK BRAINLIEST!!

Mathematics
1 answer:
Blizzard [7]3 years ago
3 0

Answer:

The answer I got from the equation was 254.47

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A Gallup survey of 2322 adults (at least 18 years old) in the U.S. found that 408 of them have donated blood in the past two yea
Lelu [443]

Answer: aA 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years = (0.163,0.189)

Step-by-step explanation:

Let p = population proportion of adults in the U.S. who have donated blood in the past two years.

Given: A Gallup survey of 2322 adults (at least 18 years old) in the U.S. found that 408 of them have donated blood in the past two years.

Sample size: n= 2322

Sample proportion q=\dfrac{408}{2322}=0.176

Critical z-value for 90% confidence level : z*=1.645

The confidence interval for population proportion:

q\pm z^*(\sqrt{\dfrac{q(1-q)}{n}})

A 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years:

0.176\pm (1.645)(\sqrt{\dfrac{0.176(1-0.176)}{2322}})\\\\=0.176\pm (1.645)(0.0079)\\\\=(0.176\pm0.013)\\\\=(0.176-0.013,0.176+0.013))\\\\=(0.163,0.189)

Hence,

6 0
3 years ago
the length of the longer leg of a right triangle is 3 ft more than three times the length of the shorter leg. the length of the
Ulleksa [173]

with the pythagorean theorem

\begin{gathered} (4+3x)^2=x^2+(3+3x)^2 \\ 16+24x+9x^2=x^2+9+18x+9x^2 \\ 16+24x+9x^2=10x^2+18x+9 \\ 16+24x+9x^2-9=10x^2+18x+9-9 \\ 9x^2+24x+7=10x^2+18x \\ 9x^2+24x+7-18x=10x^2+18x-18x \\ 9x^2+6x+7=10x^2 \\ 9x^2+6x+7-10x^2=10x^2-10x^2 \\ -x^2+6x+7=0 \end{gathered}

using the formula of the quadratic equation

\begin{gathered} x_{1,\: 2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ x1=\frac{-6+\sqrt{6^2-4\left(-1\right)\cdot\:7}}{2\left(-1\right)}=-1 \\ x2=\frac{-6-\sqrt{6^2-4\left(-1\right)\cdot\:7}}{2\left(-1\right)}=7 \end{gathered}

the length cannot be negative, therefore x=7

length of the shorter leg is: 7ft

length of the longer leg is: 3+3(7)= 24ft

length of the hypotenuse is: 4+3(7)= 25ft

5 0
1 year ago
An after school music program has 15 out of 50 students participating. Write 1550 as a decimal and as a percent. Decimal- Percen
yarga [219]

Answer:

0.3

30%

Step-by-step explanation:

To write 15/50 as a percent, you have to multiply the fraction by 100

\frac{15}{50} x 100

dividing 100 by 50 gives 2

15 x 2 = 30%

to convert 15/50 to a decimal, first simply the fraction.

Both the numerator and denominator can be divided by 5

3/10

the next step is to divide the numerator by the denominator

3/10 = 0.3

8 0
3 years ago
A portion of a line or Ray that extends from one point to another point is called what
Juli2301 [7.4K]

Answer: line segment

Step-by-step explanation:

A line segment is a ray that extends from one point to another. Hope this helps!

5 0
3 years ago
Read 2 more answers
Zoe has 5 pounds of potatos she has multiple recipes that require 3/4 pound of potatoes how many recipes will she be able to mak
Natali [406]
Amount of potatoes that Zoe has = 5 pounds
Quantity of potatoes that Zoe need for each recipe = 5/(3/4) 
                                                                                 = 5 * (4/3) 
                                                                                 = 20/3 
                                                                                 = 6 2/3 
From the above deduction, we can conclude that only 6 recipes can be made. The remaining amount of 2/3 will remain unused. I hope the procedure is clear enough for you to understand.
5 0
3 years ago
Read 2 more answers
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