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Deffense [45]
3 years ago
12

The angles x and y are complementary. Angle x is supplementary to a 128 degrees angle. What is the measures of angles x and y?

Mathematics
1 answer:
Talja [164]3 years ago
3 0
180 - 128 = 52
X = 52
90 - 52 = 38
Y = 38
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Brenda has $500 in her bank account. Every week she withdraws $30 for
JulsSmile [24]

Answer:

10 weeks

Step-by-step explanation:

lets build a equation for this

500-30(x)........where x is the number of weeks

500-30(10)= $200 left

so she can maximum withdraw money for about 10 weeks

5 0
2 years ago
3x + 2 = 2x + 6<br><br><br> Please hurry
telo118 [61]

Answer:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

x  =  4

Step-by-step explanation:

I hope this helps! Have a good day!

3 0
3 years ago
Read 2 more answers
A local car dealer claims that 25% of all cars in San Francisco are blue. You take a random sample of 600 cars in San Francisco
Delvig [45]

Answer:

Step-by-step explanation:

a) We would set up the hypothesis test.

For the null hypothesis,

p = 0.25

For the alternative hypothesis,

p ≠ 0.25

b) The test statistic to be used is the z test. The formula is

z = (P - p)/√pq/n

c) Considering the population proportion, probability of success, p = 0.25

q = probability of failure = 1 - p

q = 1 - 0.25 = 0.75

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 141

n = number of samples = 600

P = 141/600 = 0.235

Therefore

z = (0.235 - 0.25)/√(0.25 × 0.75)/600 = - 0.85

d) Recall, population proportion, p = 0.25

The difference between sample proportion and population proportion is 0.25 - 0235. = 0.015

Since the curve is symmetrical and it is a two tailed test, the p for the left tail is 0.25 - 0.015 = 0.235

the p for the right tail is 0.25 + 0.015 = 0.265

These proportions are lower and higher than the null proportion. Thus, they are evidence in favour of the alternative hypothesis. We will look at the area in both tails. Since it is showing in one tail only, we would double the area

From the normal distribution table, the area below the test z score in the left tail 0.198

We would double this area to include the area in the right tail of z = 0.85. Thus

p = 0.198 × 2 = 0.396

e) Since alpha, 0.01 < than the p value, 0.396, then we would fail to reject the null hypothesis.

f) In a sample of 600 cars, we would observe a sample proportion of 0.015 or more away from 0.25 about 39.6% of the time by chance alone. Therefore, the sample result is not statistically significant because it could occur in 39.6% of the time by chance alone.

8 0
3 years ago
A fruit juice company includes 1.858 ounces of pineapple juice in a 6.65-ounce bottle of a mixed fruit
NeTakaya
4.792 ounces

Remember to put the word ounces to get full credit on the answer
7 0
3 years ago
GIven the function f(x) = 3x +1: (A) Find the inverse of f^-1(x). (B) Find f^-1(6)
Pani-rosa [81]

The inverse function is equal to f-1(x) = (x - 1)/3 and the value at f-1(6) is equal to 5/3.

To find the inverse, you need to switch the f(x) and x in the equation. Then you can solve for the new f(x). The result will be the inverse (f-1)

f(x) = 3x + 1 ----> Switch f(x) and x

x = 3f(x) + 1 ----> Subtract 1

x - 1 = 3f(x) ----> Divide by 3.

f-1(x) = (x - 1)/3

Now that we have the inverse, we can plug 6 in to get the value at f-1(6).

f-1(x) = (x - 1)/3

f-1(6) = (6 - 1)/3

f-1(6) = 5/3

3 0
3 years ago
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