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qwelly [4]
3 years ago
9

A candidate for mayor wants to know how strong her support is among voters, so she posts an online survey on her campaign websit

e for voters to take. 
Is this sample of voters likely to be biased or unbiased?   A. biased   B. unbiased   To determine whether voters would be willing to vote for a tax increase to improve the city's schools, the board of education surveys 500 parents of children in the city's schools. 
Why is this sample likely to be biased?   A. The entire population of the city was not surveyed.   B. Parents of school children are too busy to be bothered with surveys.   C. There are not enough people in the sample.   D. Parents of school children are more likely to be willing to pay more to improve schools.  In a bin containing 500 marbles, 180 are red, 240 are blue, and 80 are green. In a bowl of 25 marbles scooped from this bin, how many would be expected to be green?   A. 4   B. 8   C. 9   D. 12   A battery manufacturer randomly tests 500 batteries and finds that 3 are defective. 
How many defective batteries would be expected in a shipment of 12,000 batteries?   A. 120   B. 72   C. 60   D. 36                                                                                 A large bin of mixed nuts contains peanuts, cashews, almonds, and walnuts. Sheila scoops out a bowl full of nuts and counts how many of each type she has: 17 peanuts, 9 cashews, 12 almonds, and 10 walnuts. 
Armando scoops out a bowl of 32 nuts. About how many should he expect to be cashews?   A. 5   B. 6   C. 9   D. 18
Mathematics
1 answer:
maks197457 [2]3 years ago
3 0
1) A. Biased because the population could be uneven. Too many of one ethnicity, too many of one gender, etc. 

2) I believe this one is C. because there are not enough people. You need to survey the majority of parents instead of a selected few. 

3) There are 80 green marbles per 500, therefore calculate the percentage. \frac{80}{500}=0.16 or 16 percent. Multiply 16 percent or 0.16 times 25. It gives you 4.

4) This one is a probability thing too. For every 500 batteries, there are 3 that are defective, therefore, \frac{3}{500}= 0.006. 

0.006*12000 = 72

5) Yet another one. Add up all the nuts and you get 48. The chance of getting a cashew from these 48 is: \frac{9}{48}=0.1875. 

Therefore: 0.1875*32=6
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Angles C and D are acute angles of a right triangle. Given sin D=2/7, which statement is true?
nika2105 [10]

Answer

Option D is correct.

Cos C = (2/7)

Explanation

In a right-angle triangle, the side opposite the right angle is the Hypotenuse, the side opposite the given angle that is non-right angle is the Opposite and the remaining side is the Adjacent.

A sketch of this right triangle will be

This sketch allows Sin D = (2/7)

To know the right answer, we need to find the last side of the triangle

The Pythagoras Theorem is used for right angled triangle, that is, triangles that have one of their angles equal to 90 degrees.

The side of the triangle that is directly opposite the right angle or 90 degrees is called the hypotenuse. It is normally the longest side of the right angle triangle.

The Pythagoras theorem thus states that the sum of the squares of each of the respective other sides of a right angled triangle is equal to the square of the hypotenuse. In mathematical terms, if the two other sides are a and b respectively,

a² + b² = (hyp)²

For this question,

a = 2

b = ?

hyp = 7

a² + b² = (hyp)²

2² + b² = 7²

4 + b² = 49

b² = 49 - 4

b² = 45

b = √45

So, we can evaluate each of these

Cos D = (√45)/7

Cos C = (2/7)

Hope this Helps!!!

8 0
1 year ago
Sherrick graphed a function on the board
castortr0y [4]

<u></u>f(x)=-x-3 equation represents Sherrick's graph.

<u>Step-by-step explanation:</u>

Here, Let us have a graph of line f(x) = x , which will be a straight line passing through origin . Now, rotate the graph by 180° and now new equation becomes f(x) = -x , which is a straight line passing through origin . Now, shift the graph 3 units downwards on y axis so the new and final equation becomes f(x) = -x-3 which is a straight line passing through at x = -3 at x-axis & y = -3 at y-axis.

∴ Equation which represents Sherrick's graph is f(x) = -x-3.

4 0
3 years ago
Kayla has $45 and wants to buy three shirts that are originally priced at $18 each. They are on sale for 20% off. After applying
tester [92]

Answer: No, as the total cost of the 3 shirts w/ sales tax is $45.36 and she only has $45.

Step-by-step explanation:

Start by finding the price of one shirt on sale.

18*0.2

This equals 3.6 which is how much will be deducted from the original price.

One shirt costs 18-3.6\\ when its 20% off.

This is equal to $14.40.

Since she wants to buy 3 of them we just multiply the $14.40 by 3.

14.4*3=\\

This equals $43.2 but this is without a 5% sales tax which is normally added to the total end price.

To add a sales tax you take the sales tax percent plus 1 and multiply it to the $43.2.

43.2*1.05=\\

This means the total price of Kayla's purchase will be $45.36.

This is over her $45 she has so she can not buy it.

6 0
2 years ago
Convert the angle \theta=180^\circθ=180 ∘ theta, equals, 180, degree to radians.
VARVARA [1.3K]
For this case, the first thing you should know is the following conversion of units:
 360 degrees = 2pi radians
 Applying the conversion we have: 
 θ = 180 * (2pi / 360)
 Rewriting we have:
 θ = pi
 Answer:
 the angle to radians is:
 θ = pi
7 0
3 years ago
What is 5% of (X) x 18432 if (X) = 18327440
Rasek [7]

Answer:

50,671,706,112

Step-by-step explanation:

0.15*(18327440*18432)=50,671,706,112

15%= .15

x*18,432 = 18327440*18432=337,811,374,080

337,811,374,080 * .15 = 50,671,706,112

OR

337,811,374,080 / 15 =50,671,706,112

3 0
2 years ago
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