MATHEMATICS COLLEGE

NEED HELP ON THIS ASAP PLS

Answers

Answer 1

Answer:

Answer:

65.4

for this triangle we use the SOHCAHTOA rules because it is a right angled triangle.

so the rule used here is $Tan x= (opposite)/(adjacent)$

$Tan (17)= (20)/(x)$

we cross multiply both sides

$(tan(17))/(1) =(20)/(x)$

$tan(17)x=20$

$x=(20)/(tan(17)) =65.41705237$

the question said to the nearest tenth, so 65.4 is the final answer

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2-23 Ace Machine Works estimates that the probability its lathe tool is properly adjusted is 0.8. When the lathe is properly adjusted, there is a 0.9 probability that the parts produced pass inspection. If the lathe is out of adjustment, however, the probability of a good part being produced is only 0.2. A part randomly chosen is inspected and found to be acceptable. At this point, what is the posterior probability that the lathe tool is properly adjusted?
A builder could get 9 sheets of Sheetrock for $20. If he bought 15 sheets, how much money would he have spent?

In a clinical trial of 2165 subjects treated with a certain drug, 21 reported headaches. In a control group of 1718 subjects given a placebo, 23 reported headaches. Denoting the proportion of headaches in the treatment group by pt and denoting the proportion of headaches in the control (placebo) group by pc, the relative risk is pt/pc. The relative risk is a measure of the strength of the effect of the drug treatment. Another such measure is the odds ratio, which is the ratio of the odds in favor of a headache for the treatment group to the odds in favor of a headache for the control (placebo) group, found by evaluating StartFraction p Subscript t Baseline divided by (1 minus p Subscript t Baseline )Over p Subscript c Baseline divided by (1 minus p Subscript c Baseline )EndFraction . The relative risk and odds ratios are commonly used in medicine and epidemiological studies. Find the relative risk and odds ratio for the headache data. What do the results suggest about the risk of a headache from the drug treatment?

Answers

Answer

Relative risk= 0.742

Odds ratio= 0.745

Detailed calculation shown in diagram:

Carmen has 1.50$ in a coffee can She is going to place a quarter in the can every day for x days. If she does not remove any of the money, which expression below represents the total amount of money, indollars, that she will have in the can after x days?

Answers

The correct representation for the total amount of money in dollars will be;

⇒ $1.50 + $0.35x

What is an expression?

Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that:

Carmen has 1.50$ in a coffee can.

She is going to place a quarter in the can every day for x days.

Now,

Carmen has 1.50$ in a coffee can.

And, She is going to place a quarter in the can every day.

That mean;

Cost = $1.50 / 4 = $0.35

And, For x days, the cost = $0.35x

Hence, Total amount = $1.50 + $0.35x

Thus, The correct representation for the total amount of money in dollars will be;

⇒ $1.50 + $0.35x

Learn more about the expression visit:

brainly.com/question/24734894

#SPJ6

Simplify the polynomial

Answers

The polynomial after simplification is obtained as $5 x^(2)$ + 9x + 3.

What issimplification?

In mathematics, reducing an expression, fraction, or problem to a simpler form is referred to as simplification. With calculations and solution, the problem is made simple. Make something simpler by simplifying it.

We are given a polynomial as

5x - 5 + $11 x^(2)$ + 4x - $6 x^(2)$ + 8

Now, in order to simplify the given polynomial, we will combine the like terms of the polynomial.

On combining the like terms, we get

$5 x^(2)$ + 9x + 3

Hence, the polynomial after simplification is obtained as $5 x^(2)$ + 9x + 3.

Learn more about simplification from the given link

brainly.com/question/723406

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A sample survey contacted an SRS of 2854 registered voters shortly before the 2012 presidential election and asked respondents whom they planned to vote for. Election results show that 51% of registered voters voted for Barack Obama. We will see later that in this situation the proportion of the sample who planned to vote for Barack Obama (call this proportion V) has approximately the Normal distribution with mean μ 0.52 and standard deviation σ = 0.009. (a) If the respondents answer truthfully, what is P (0.5くV < 0.54)? This is the probability that the sample proportion v estimates the population proportion 0.52 within plus or minus 0.02.
P (0.5<= V <=0.54) (±0.0001)=

(b) In fact, 50% of the respondents said they planned to vote for Barack Obama V = 0.5. If respondents answer truthfully, What is P(V <=0.5)?
P (V <=0.5) (±0.0001) =

Answers

Answer:

a) 97.37%

b) 1.31%

Step-by-step explanation:

Here we want to calculate the area under the Normal curve with mean 0.52 and standard deviation 0.009 between 0.5 and 0.54

This can be easily done with a spreadsheet and we get

P (0.5くV < 0.54) = 0.9737 or 97.37%

(See picture 1)

Here we want the area under the Normal curve with mean 0.52 and standard deviation 0.009 to the left of 0.5.

P(V ≤ 0.5) = 0.0131 or 1.31%

(See picture 2)

1. An equation is shown below.3 (x-2) + 7x= 1/2(6x-2)
How many solutions, if any, does the equation have?

Answers

Answer:

x=5/7

Step-by-step explanation:

3(x-2)+7×=1/2×(6×-2)

3x-6+7×=1/2×2(3×-1)

3×-6+7×=3×-1

-6+7×=-1

7×=-1+6

7×=5

1011
For questions 6-8, determine the number of solutions.
Type your answers as one, none, or many (no capital letters)
6
4(x + 5) - 2 = 18 + 4x

Answers

the answer to that would be many

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