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Naya [18.7K]
3 years ago
9

A carpenter has a board of 18.5 feet long and needs to cut as many 1.75 feet long pieces as possible how many pieces can the car

penter cut explain how you found the answer
Mathematics
1 answer:
Lostsunrise [7]3 years ago
6 0

Answer:


Step-by-step explanation:


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74% of freshmen entering public high schools in 2006 graduated with their class in 2010. A random sample of 81 freshmen is selec
Assoli18 [71]

Answer: Probability that the proportion of students who graduated is greater than 0.743 is P = 0.4755

Step-by-step explanation:

Given that,

Probability of freshmen entering public high schools in 2006 graduated with their class in 2010, p = 0.74

Random sample of freshman, n = 81

Utilizing central limit theorem,

P(\hat{p}

So,

(P(\hat{p}>0.743) = P(Z>0.743 - \frac{0.74}{\sqrt{\frac{0.74(1-0.74)}{81} }  } )

= P( Z > 0.0616)

= 0.4755 ⇒ probability that the proportion of students who graduated is greater than 0.743.

7 0
3 years ago
-4(-2z + 2) = 6z + 8
Savatey [412]
8z-8=6z+8
8x-6z=8+8
2z=16
Z=8
8 0
2 years ago
Read 2 more answers
Because Bernard has some health issues, he must pay 15% more for life insurance. About how much more annually will a $115,000 10
olga2289 [7]

From the given table, the annual premium rate as a percentage of value insured a person at age 35 has to pay is 0.14%.

  • The amount more annually a $115,000 10-year term insurance at age 35 cost Bernard than someone of the same age without health issues is option d. <u>$24</u>

Reasons:

The data in the table are presented as follows;

\begin{tabular}{|c|c|c|}Age&Annual Insurance Premiums (per \$1,000 of face value)&\\&10-Year Term &\\&Male&Female\\35&1.40&1.36\\40&1.64&1.59\\45&2.07&2.01\end{array}\right]

From the above table, we have that the amount a 35 year old without health issues will pay per $1,000 is $1.40

Therefore, the amount to be paid for $115,000 is 115 × $1.4 = $161

The amount Bernard pays = 15% more = 1.15 × $161 = $185.15

Therefore;

The amount more Bernard has to pay = $185.15 - $161 = $24.15 ≈ <u>$24</u>

Learn more about insurance premiums here:

brainly.com/question/3053945

8 0
2 years ago
Read 2 more answers
19) In the xy-plane, what is the y-intercept of the graph of the equation<br> y=3(x-1)(x+2)?
Dahasolnce [82]

Answer:

- 6

Step-by-step explanation:

Given

y = 3(x - 1)(x + 2) ← expand factors using FOIL

  = 3(x² + x - 2) ← distribute by 3

  = 3x² + 3x - 6

To find the y- intercept let x = 0, thus

y = 3(0)² + 3(0) - 6 = 0 + 0 - 6 = - 6

Thus y- intercept = - 6 ⇒ (0, - 6 )

3 0
3 years ago
Russell is eating at a restaurant. His total bill comes to $45.10. If Russell decides to leave a tip that is approximately 25% o
olga2289 [7]

Answer:

$11.28

Step-by-step explanation:

45.10 x 0.25

4 0
2 years ago
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