according to the line plot how many more Runners ran 1/3 of a mile for their warm-up than ran 1/4 of a mile

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

count how many more

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Consider the function f(x)=x3+15x2+74x+120. If f(x)=0 for x=−6, for what other values of x is the function equal to 0? List the values separated by commas.

Answers

Answer:

other x values are -5,-4

Step-by-step explanation:

f(x)=0 for x=−6

Apply synthetic division to get the quotient . using that we find other two values of x

-6 1 15 74 120

0 -6 - 54 -120

-------------------------------------------------

1 9 20 0

the quotient is $x^2+9x+20=0$

now factor the left hand side, product is 20 and sum is 9

$x^2+9x+20=0\n(x+5)(x+4)=0\nx+5=0 , x=-5\nx+4=0, x=-4$

So other x values are -5,-4

Please help! Thank you!

Answers

The exact values of α and β as follows: α = 2π/3 and β = 7π/6. To find the exact value of the given trigonometric expressions, we need to use the Laws of Sines and Cosines.

What is Law of Sines?

The Law of Sines is a mathematical equation used to calculate the angles or sides of a triangle when two angles and one side are known. It states that the ratio of the sine of an angle to the length of the opposite side is constant.

The Law of Sines states that the ratio of a side to the sine of its opposite angle is equal for all sides and angles of a triangle. The Law of Cosines states that the square of a side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of those sides multiplied by the cosine of the included angle.

We begin by finding the exact value of tan α. Using the Law of Sines, we can find the measure of α by solving the equation: tan α = 3/4 = sin α/cos α. This can be rearranged to find cos α = 4/3, and then we can use the inverse of cosine to find the exact value of α.

Using the Law of Cosines, we can find the exact value of β by solving the equation: -15/17 = (cos β)2 = (1 - sin2 β). This can be rearranged to find sin β = -4/5, and then we can use the inverse of sine to find the exact value of β.

Finally, using the given conditions, we can find the exact values of α and β as follows: α = 2π/3 and β = 7π/6.

For more questions related to cosines

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Do phone surveys provide adequate coverage of households with respect to one particular parameter? The parameter is the proportion of households without children. If telephone surveys provide adequate coverage of households, then p , the proportion of households without children in the set of all future samples reached by phone, must be equal to the proportion of households without children in the population of all households. Suppose that Thomas, a market analyst, contacts a simple random sample of 300 households as part of a national telephone survey. Of the households contacted, 129 households, or 43 %, have no children and 57 % have at least one child. The most recent census indicates that 48 % of all households have no children and 52 % have at least one child.

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

Based on the result of his test , Thomas should fail to reject null hypothesis at a significance level of 0.01. Thomas sufficient evidence to conclude that the proportion of households without children in the set of all future samples reached by phone is not equal to the proportion of households without children in the population of all households.

Step-by-step explanation:

From the question we see that the p-value is greater than the level of significance (0.01 )so we fail to reject the null hypothesis.

This means that Thomas has sufficient evidence to conclude that the proportion of households without children in the set of all future samples reached by phone is not equal to the proportion of households without children in the population of all households.

300 people joined the community orchestra. Some intended to play a string instrument, some a brass instrument, and the others percussion. If 3 times as many people were planning to play a string instrument as a brass instrument, and if 60 fewer were going to play percussion than a brass instrument, how many people were planning to play each type of instrument?

Answers

Total amount of instrument players= 300
Number of brass instrument players= x (because we do not know how many there are, except that all other values that we must calculate are based off of the number of brass players we have
Number of string instruments= 3x (because 3 times more than the number of brass instruments
Number of Percussion= x-60 (because there are 60 less percussion players than brass players

So, our equation is (number of string instruments)+(number of brass instruments)+(number of percussion instruments)=300 (which is our total possible number of people

3x+x+x-60=300
3x+x+x=360
5x=360
x= 72

We have 72 brass instrument players, 3(72)= 216 string instrument players, and 72-60=12 percussion players

check: 72+216+12=300

Will mark brainliest!!The graph shows Wilson's science scores versus the number of hours spent doing science homework.

What will most likely be Wilson's approximate science score if he does science homework for 6 hours a week?

33 points
42 points
52 points
55 points

Answers

Answer:

55 points

Step-by-step explanation:

equation is close to y = 7.1x + 15

y = 7.1(6) + 15 comes closest to 55

Chloe has been offered a new job in the women’s shoe department at Macy’s. She has two salary options. She can receive a salary of $600 per week (Option 1), or receive $350 per week plus 8% of her weekly sales (Option 2). If Chloe has $3,200 in weekly sales, she will earn more money with
If x represents Chloe’s weekly sales, the following equation can be used to determine which option will benefit her the most:
If x represents Chloe’s weekly sales, she will earn more money with Option 1 when