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Zepler [3.9K]
3 years ago
10

A high school coach wants to buy new shirts for the 25 members of the track team. The coach must spend less than $300 on the shi

rts and needs to figure out how much he can spend per shirt, s. Which of the following must be true about the inequality and the resulting graph? Check all that apply.
Mathematics
1 answer:
aksik [14]3 years ago
3 0
25 less than or equal too 300,not really enough information
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If mZDEC = (12x - 3), mZBCE =
kati45 [8]

Answer:

Step-by-step explanation:

12x - 3 = 180 - (7x - 26) supplementary angles

19x = 209

   x = 11

m∠DEC = 12(11) - 3 = 129°

m∠BCE = 7(11) - 26 = 51°

M∠ADE = 129 - 72 = 57°  exterior angle rule

m∠EDB = 180 - 57 = 123° supplementary angles

m∠DBC = 57° corresponding angle to ADE

3 0
2 years ago
Let us suppose we have data on the absorbency of paper towels that were produced by two different manufacturing processes. From
maksim [4K]

Answer:

The 95% CI for the difference of means is:

-155.45 \leq \mu_1-\mu_2 \leq -44.55

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>"Find a 95% confidence interval on the difference of the towels mean absorbency produced by the two processes. Assumed that the standard deviations are estimated from the data. Round to two decimals places."</em>

Process 1:

- Sample size: 10

- Mean: 200

- S.D.: 15

Process 2:

- Sample size:  4

- Mean: 300

- S.D.: 50

The difference of the sample means is:

M_d=M_1-M_2=200-300=-100

The standard deviation can be estimated as:

\sigma_d=\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}\\\\\sigma_d=\sqrt{\frac{15^2}{10}+\frac{50^2}{4}} =\sqrt{22.5+625}=\sqrt{647.5}=25.45

The degrees of freedom are:

df=n_1+n_2-2=10+4-2=12

The t-value for a 95% confidence interval and 12 degrees of freedom is t=±2.179.

Then, the confidence interval can be written as:

M_d-t\cdot \sigma_d\leq \mu_1-\mu_2 \leq M_d+t\cdot \sigma_d\\\\-100-2.179*25.45\leq \mu_1-\mu_2 \leq -100+2.179*25.45\\\\-100-55.45 \leq \mu_1-\mu_2 \leq -100+55.45\\\\ -155.45 \leq \mu_1-\mu_2 \leq -44.55

8 0
3 years ago
The length of a rectangle 1.6 times longer with the sum of width and length being 130 feet
Lena [83]
<span>Let  be the length, and  be the width.
If the length is 1.6 times the width, then

If the sum of the length and with (in feet) is 130, then
</span><span>Substituting in the equation above, the expression  for , we get
 -->  -->  --> 
Ten, substituting the value found for  in  we find
 --> 
The two equations we set up at the start form a system of linear equations:

</span>
3 0
3 years ago
Read 2 more answers
Write a recursive formula for an, the nth term of the sequence 3, -4, -11
yKpoI14uk [10]

Answer:

, 12, 48, 192...

a. Write a recursive formula for the nth term of the sequence

Ans: a(n+1) = 4*a(n)

------------------------------

b. Write a general formula for the nth term of the sequence

a(n) = 3*4^(n-1)

--------------

c. Calculate S10 for this sequence

Geometric sequence with a(1) = 3 and r = 4

----?

Step-by-step explanation:

8 0
2 years ago
810 songs; 130% increase
horrorfan [7]
To do 130% increase you multiply by 1.3 so you do 810 × 1.3 = 1053
4 0
3 years ago
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