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Kobotan [32]
3 years ago
13

(PLEASE HELP) Find the values of x and y

Mathematics
1 answer:
777dan777 [17]3 years ago
3 0

Answer:

x = 90, y = 43

Step-by-step explanation:

By the SAS theorem (as you can tell by the picture) angles B and C are similar, which means they are both 47 degrees.

Since the triangles are similar (SAS theorem) then angle x must be equal to 90 degrees, because they are on a straight line both angles would need to add up to 180 degrees.

Now that you have two angles out of three, you can solve for the last angle by setting up this equation:

B + D + A = 180

47 + 90 + A = 180

Add 47 and 90 together.

137 + A = 180

Subtract 137 from both sides.

A = 43

x = D and y = A, therefore x = 90 and y = 43.

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The degree is the largest exponent on the variable.

Degree: 5

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3 years ago
Omar went to a Chicago Cubs game and purchased 1 pound of peanuts for $1.29. How much would 7 pounds of peanuts cost?
viktelen [127]

Answer:

$9.03

Step-by-step explanation:

if one pound of peanuts cost $1.29

and you want to know how much 7 pounds costs, you multiply $1.29 by 7.

$1.29×7=$9.03

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2 years ago
Can anyone help me ???
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3 years ago
Researchers fed mice a specific amount of Dieldrin, a poisonous pesticide, and studied their nervous systems to find out why Die
Elodia [21]

Answer:

Step-by-step explanation:

Part A

Mean = (2.2 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7)/6 = 2.48

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484

Standard deviation = √(0.1484/6

s = 0.16

Standard error = s/√n = 0.16/√6 = 0.065

Part B

Confidence interval is written as sample mean ± margin of error

Margin of error = z × s/√n

Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5

Therefore, z = 3.365

Margin of error = 3.365 × 0.16/√6 = 0.22

Confidence interval is 2.48 ± 0.22

Part C

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 2.3

For the alternative hypothesis,

H1: µ > 2.3

This is a right tailed test

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 6

Degrees of freedom, df = n - 1 = 6 - 1 = 5

t = (x - µ)/(s/√n)

Where

x = sample mean = 2.48

µ = population mean = 2.3

s = samples standard deviation = 0.16

t = (2.48 - 2.3)/(0.16/√6) = 2.76

We would determine the p value using the t test calculator. It becomes

p = 0.02

Assuming significance level, alpha = 0.05.

Since alpha, 0.05 > than the p value, 0.02, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the mean absolute refractory period for all mice when subjected to the same treatment increased.

6 0
3 years ago
2x^2-12x-32=0 solution
Charra [1.4K]

Answer: x=−2 or x=8

Step-by-step explanation:

Step 1: Factor left side of equation.

2(x+2)(x−8)=0

Step 2: Set factors equal to 0.

x+2=0 or x−8=0

x=−2 or x=8

8 0
3 years ago
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