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uranmaximum [27]
3 years ago
11

The measure of an angle is 51°.

Mathematics
2 answers:
Bingel [31]3 years ago
6 0
Supplement of an angle is what must be added to that angle to get 180

51+supplement=180
minus 51 both sides
supplement=129

answer is C
Amanda [17]3 years ago
5 0
Here you need to know that supplement is Equal to 180

Here how u would do it
51+ x=180
solve for x
x=180 - 51
x= 129

So c is the answer to your question

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sal makes a 10% commission on the first $5000 of sales and 15% on any sales over $5000. find his total graduated commission on $
Helga [31]
0.10(5000) = 500
0.15(10,000) = 1500

total commission on 15,000 = (150 + 500) = 2,000
5 0
3 years ago
What is 2 5/8 x 2/5
elena-14-01-66 [18.8K]

Answer:1 1/20

Step-by-step explanation:

2 5/8 x 2/5

(8x2+5)/8 x 2/5

21/8 x 2/5

(21 x 2) ➗ (8 x 5)

42 ➗ 40

42/40=21/20=1 1/20

4 0
3 years ago
An article includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberr
seraphim [82]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean compression strength from the extra carbonation of strawberry drink and μ2 be the mean compression strength from the extra carbonation of cola.

The random variable is μ1 - μ2 = difference in the mean compression strength from the extra carbonation of strawberry drink and the mean compression strength from the extra carbonation of cola.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

This is a left tailed test.

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

From the information given,

x1 = 530

x2 = 553

s1 = 23

s2 = 16

n1 = 10

n2 = 10

t = (530 - 533)/√(23²/10 + 16²/10)

t = - 2.6

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [23²/10 + 16²/10]²/[(1/10 - 1)(23²/10)² + (1/10 - 1)(16²/10)²] = 6162.25/383.752

df = 16

We would determine the probability value from the t test calculator. It becomes

p value = 0.0097

Since alpha, 0.05 > than the p value, 0.0097, then we would reject the null hypothesis. Therefore, at 5% significance level, the data suggests that the extra carbonation of cola results in a higher average compression strength.

4 0
3 years ago
The principal would like to assemble a committee of 4 students from the 16-member student council. How many different committees
mamaluj [8]

Answer:

4?

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3 0
3 years ago
4xsquared 12x 10 is less than or equal to 0 (or what multiplies to get 40 and adds to get 12)
g100num [7]
It either x=5 or x=-2 not sure which on 

5 0
3 years ago
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