The map shows the intersection of three roads. Malcom Way intersects Sydney Street at an angle of 162°. Park Road intersects Sydney Street at an angle of 87°. Find the angle at which Malcom Way intersects Park Road.

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Related Questions

g In a test of a gender-selection technique, results consisted of 200 baby girls and 14 baby boys. Based on this result, what is the probability of a girl born to a couple using this technique? Does it appear that the technique is effective in increasing the likelihood that a baby will be a girl? The probability that a girl will be born using this technique is approximately nothing. (Type an integer or decimal rounded to three decimal places as needed.) Does the technique appear effective in improving the likelihood of having a girl baby? No Yes
EquationsSolve T = C(9+ AB) for B
34.00 -A video game is on sale at Amazon for 35% off the original price of $28.50. Both Pat and Henri want to purchase the game, but they only have $21 each. They will have to pay 10% sales tax. Pat and Henri have different strategies to calculate the price and decide if they have enough money to get the game. Pat takes 35% of $28.50 and subtracts that from the original price. She takes 10% of the sale price and adds it to the sale price to find the total amount she would have to pay. Henri finds 65% of the original price and then calculates 110% of the sale price. What is the sale price of the video game with tax? (1 point) Will Pat's strategy calculate the correct total? Explain the calculations. (2 points) Will Henri's strategy calculate the correct total? Explain the calculations. (2 points) Do they each have enough to purchase the game? (2 points) Explain your answers using complete sentences and show your work
Simplify the following expression by using the distributive property 6(3a-4)
Tina makes 480 sandwiches

Please answer this correctly without making mistakes

Answers

Answer:

Th best thing would be 35% off or the blue coupon

Step-by-step explanation:

Well we can solve the orange coupon first which would be 540.37 for the final price

the blue coupon is 35 percent off or we can just multiply 815.37 by 0.65 becuase since its “off” you would only have to pay 65 percent of the item which is why I’m multiplying by 0.65. You would end up with something like 529 something which is less than 540.37

The blue coupon would be best

Also why not use both of them?

A committee at the College Board has been asked to study the SAT math scores for students in Pennsylvania and Ohio. A sample of 45 students from Pennsylvania had an average score of 580, whereas a sample of 38 students had an average score of 530. The sample standard deviations for Pennsylvania and Ohio are 105 and 114 respectively. Does the study suggest that the SAT math score for students in Pennsylvania and Ohio differ

Answers

Answer:

Step-by-step explanation:

From the given information:

The null hypothesis and the alternative hypothesis can be computed as:

$H_0 :\mu_1 -\mu_2 = 0$ (i.e. there is no difference between the SAT score for students in both locations)

$H_1 :\mu_1 -\mu_2 \geq0$ (i.e. there is a difference between the SAT score for students in both locations)

The test statistics using the students' t-test for the two-samples; we have:

$t = \frac{\overline x_1 -\overline x_2}{\sqrt{(s_1^2)/(n_1)+(s_2^2)/(n_2) } }$

$t = \frac{580 -530}{\sqrt{(105^2)/(45)+(114^2)/(38) } }$

$t = \frac{50}{\sqrt{(11025)/(45)+(12996)/(38) } }$

$t = (50)/(√(245+342 ) )$

$t = (50)/(√(587) )$

$t = (50)/(24.228)$

t = 2.06

degree of freedom = ( $n_1 + n_2$ ) -2

degree of freedom = (45+38) -2

degree of freedom = 81

Using the level of significance of 0.05

Since the test is two-tailed at the degree of freedom 81 and t = 2.06

The p-value = 0.0426

Decision rule: To reject $H_o$ if the p-value is less than the significance level

Conclusion: We reject the $H_o$ , thus, there is no sufficient evidence to conclude that there is a significant difference between the SAT math score for students in Pennsylvania and Ohio.

The manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 4.2 years and a standard deviation of 0.6 years. He then randomly selects records on 38 laptops sold in the past and finds that the mean replacement time is 3.9 years. Assuming that the laptop replacement times have a mean of 4.2 years and a standard deviation of 0.6 years, find the probability that 38 randomly selected laptops will have a mean replacement time of 3.9 years or less.

Answers

Answer: 0.0010

Step-by-step explanation:

Given the following :

Population Mean(m) = 4.2 years

Sample mean (s) = 3.9

Standard deviation (sd) = 0.6

Number of samples (n) = 38

Calculate the test statistic (z) :

(sample mean - population mean) / (sd / √n)

Z = (3.9 - 4.2) / (0.6 / √38)

Z = (- 0.3) / (0.6 / 6.1644140)

Z = -0.3 / 0.0973328

Z = - 3.0822086

Z = - 3.08

From the z table :

P(Z ≤ - 3.08) = 0.0010

Final answer:

The probability that the mean replacement time of a random sample of 38 laptops is 3.9 years or less, assuming the true mean replacement time is 4.2 years, is approximately 0.0038 or 0.38%

Explanation:

To solve this problem, we will use the formula for the Z score of a sample mean:
Z = (x - µ) / (σ/ √n)

In this case, the mean µ is 4.2 years, the standard deviation σ is 0.6 years, the sample mean x is 3.9 years, and the sample size n is 38.

Substituting the given values into the formula, we get:
Z = (3.9 - 4.2) / (0.6/√38) = -2.67.

We can then look up this Z score in the Z score table or use statistical software to find the corresponding probability. The probability associated with Z = -2.67 is approximately 0.0038. This means there's about a 0.38% chance that the mean replacement time of a random sample of 38 laptops will be 3.9 years or less, assuming the true mean replacement time is 4.2 years.

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Turner took a total of 8 quizzes over the course of 4 weeks. How many weeks of school will Turner have to attend this quarter before he will have taken a total of 16 quizzes? Assume the relationship is directly proportional. plz just put the answer

Answers

Answer:

8 wks

Step-by-step explanation:

It's 8 weeks

It's literally 8 weeks

The tax on a $30 item is $1.20. Find the tax on a $130 item. How do I set this problem up?

Answers

Answer:

$5.20

Step-by-step explanation:

Find the tax rate first:

$1.20

-------------- = 0.04

$30.00

The tax rate is 4%.

Then the tax on a $130 item is 0.04($130) = $5.20

Is f(x)=7-2x a polynomial function

Answers

Answer:

Yes

Step-by-step explanation:

Yes, this F(x) is a polynomial function involving the first and null integer powers of x: x^0 and x^1.

Final answer:

Yes, f(x) = 7 - 2x is a polynomial function because it satisfies the general form of a polynomial, which requires that every term is in the form ax^n for nonnegative integer n.

Explanation:

Yes, the function f(x) = 7-2x is indeed a polynomial function. A polynomial function is a function such as a quadratic, a cubic, a quartic, and so on, for which the function is of the form f(x) = ax^n, where n is a nonnegative integer. In this case, f(x) = 7-2x can be more comprehensively written as f(x) = -2x^1 + 7x^0, which reflects the general form of a polynomial function.

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MAFS.5.NF.2.5b4. Valeria is going to the grocery store to buy turkeyand ham to use for sandwiches this week. She buys42as much ham as turkey. Which of73the following statements is true?1 turkey and 12 /A. She is buying more turkey than ham.B. She is buying the same amount of turkey and ham.C. She is buying twice as much turkey as ham.D. She is buying less turkey than ham.Cuál es la repuesta? Hola

What is the first step to solve this equation:11 - 3x = 44

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