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Dennis_Churaev [7]
3 years ago
7

Cheryl wants to find the number of hours seventh-graders do homework each week. There are 297 girls and boys in seventh grade. W

hich is the best way for Cheryl to get a representative sample without spending too much time?
A.) She can survey 15 of her friends in the school.
B.) She can survey every sixth-grade student in the school.
C.) She can randomly survey 50 girls in the entire school.
D.) She can randomly survey 50 seventh-graders in the school.
Mathematics
2 answers:
Sveta_85 [38]3 years ago
8 0

Answer:

D

Step-by-step explanation:

Surveying 50 girls would include other grades outside of seventh grade and would not include boys. This would not be a representative sample of the population and would lead to invalid results.

serious [3.7K]3 years ago
7 0
It would be answer D
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laila [671]
<h3><u>Option A</u></h3>

4 x^{2}+32 x-80=0 is the required equation to calculate width of rectangular frame that has a total area of 140 square inches.

<h3><u>Solution:</u></h3>

Given that,

Length of a rectangular frame is given as 2x + 10

Width of the rectangular frame is given as 2x + 6

Total area = 140 square inches

<em><u>The area of rectangular frame is given as:</u></em>

\text {area of rectangle}=\text {length } \times \text {width}

Plugging in values, we get

\begin{array}{l}{(2 x+10)(2 x+6)=140} \\\\ {4 x^{2}+12 x+20 x=80} \\\\ {4 x^{2}+32 x-80=0}\end{array}

This is the required equation to calculate width of rectangular frame

Solve the above quadratic equation to get the value of "x"

4 x^{2}+32 x-80=0

<em><u>Use the quadratic equation formula:</u></em>

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Here a = 4 ; b = 32 ; c = -80

x=\frac{-32 \pm \sqrt{32^{2}-4(4)(-80)}}{2(4)}

x=\frac{-32 \pm \sqrt{2304}}{8}

x = 2 or x = -10

Now measurement cannot be negative, so taking the positve value of "x", we can calculate the width

So put "x" = 2

Width of the rectangular frame = 2x + 6 = 2(2) + 6 = 10

Thus the width of frame is 10 inches

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3 years ago
Suppose j varies jointly with g and v,what is j when g=10 and v=9?
Misha Larkins [42]
The standard joint variation is y = kxz, so we modify it for this one and get j = kgv.  Since we don't know the constant, I'm assuming it's 1

This gives us j = gv, or j =10*9 = 90
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3 years ago
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