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Allisa [31]
2 years ago
12

Jen wants to have 8 rose bushes planted on her property. She asked a landscaping company to give her a bid. The contractor wante

d $800 to buy and plant the bushes. Shell thinks she can do it by herself and save money. The bushes cost $60 each. How much will Jen save by planting the bushes herself? Write your answer using the $, such as $230
Mathematics
1 answer:
Stella [2.4K]2 years ago
8 0

Answer:

Jen saved $320.

Step-by-step explanation:

Since she would like 8 bushes total and 1 = $60, we will multiply (60 x 8) to get a total of $480.

Finally, to find out how much Jen saved, we must subtract Jens final priced total ($480) - the landscapers asking price ($800) to get ( = $320)

Jen payed $480 and saved $320.

Hope this helps...

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3. A new process has been developed for applying pho­ toresist to 125-mm silicon wafers used in manufac­ turing integrated circu
dlinn [17]

Answer:

a

The null hypothesis is  H_o : \mu  =  13.4000

The alternative hypothesis is  H_a :  \mu \ne  13.4000

The null hypothesis is rejected

b

The  99% confidence level is   13.3930  < \mu  < 13.3994

Step-by-step explanation:

From the question we are told that

  The sample size is  n =  10

   The  population mean is  \mu =  13.4 000 \  angstroms

   The level of significance is  \alpha =  0.05

   The  sample data is  

13.3987, 13.3957, 13.3902, 13.4015, 13.4001, 13.3918, 13.3965, 13.3925, 13.3946, and 13.4002

Generally the sample mean is mathematically represented as

        \= x =  \frac{13.3987+ 13.3957\cdots +13.4002 }{10}

=>     \= x = 13.3962

Generally the sample standard deviation  is mathematically represented as

    \sigma = \sqrt{\frac{\sum (x_i - \= x)^2}{n} }

=> \sigma = \sqrt{\frac{ (13.3987 - 13.3962)^2 +  (13.3987 - 13.3962)^2 + \cdots + (13.3987 -13.4002)^2  }{10} }

=>  \sigma =0.0039

The null hypothesis is  H_o : \mu  =  13.4000

The alternative hypothesis is  H_a :  \mu \ne  13.4000

Generally the test statistics is mathematically represented as

      z  =  \frac{\= x - \mu}{\frac{\sigma}{\sqrt{n} } }

=>    z  =  \frac{13.3962 -  13.4000}{\frac{0.0039}{\sqrt{10} } }

=>   z =  3.08

Generally the p-value is mathematically represented as

       p-value  = 2P( z   >  3.08)

From the z-table  P(z >  3.08)= 0.001035

So

       p-value  = 2* 0.001035

      p-value  = 0.00207

So from the obtained value we see that

     p-value  < \alpha

Hence the null hypothesis is rejected

Consider the b question

Given that the confidence level is  99%  then the level of significance is

    \alpha =  (100 -99)\%

=> \alpha =  0.01

Generally from the normal distribution table critical value  of  \frac{\alpha }{2} is  

    Z_{\frac{\alpha }{2} } =  2.58

Generally the margin of error is mathematically represented as  

     E =  Z_{\frac{\alpha }{2} } *  \frac{\sigma}{\sqrt{n} }

=>   E = 2.58  *  \frac{0.0039}{\sqrt{10} }

=>    E = 0.00318

Generally the 99% confidence interval is mathematically represented as

     13.3962   - 0.00318  < \mu  < 13.3962   +  0.00318

=>   13.3930  < \mu  < 13.3994

 

7 0
3 years ago
The sum of two polynomials is 8d5 – 3c3d2 + 5c2d3 – 4cd4 + 9. If one addend is 2d5 – c3d2 + 8cd4 + 1, what is the other addend?
MatroZZZ [7]

Answer:

a. x = 6d^5 - 2c^3d^2 + 5c^2d^3 - 12cd^4 + 8

Step-by-step explanation:

Given that

8d^5 + 3c^3d62 + 5c^2d^3 - 4cd^4 + 9

Now

if one is added i.e.

2d^5 - c^3d^2 + 8cd^4 + 1

Now let us assume the other polynomial be x

So,

8d^5 + 3c^3d62 + 5c^2d^3 - 4cd^4 + 9 = x  + (2d^5 - c^3d^2 + 8cd^4 + 1)\\\\x = 8d^5 + 3c^3d62 + 5c^2d^3 - 4cd^4 + 9 - (2d^5 - c^3d^2 + 8cd^4 + 1)\\\\

x = (8d^5 - 2d^5) + (-3c^3d^2 + c^3d^2) + 5c^2d^3+ (-4cd^4-8cd^4) + (9-1)\\\\x = 6d^5 - 2c^3d^2 + 5c^2d^3 - 12cd^4 + 8

8 0
3 years ago
Read 2 more answers
HELP ASAP PLEASEE!! a metal alloy weighing 4 mg and containing 20% iron is melted and mixed with 12 mg of a different alloy whic
saul85 [17]

Answer:

35 percent

Step-by-step explanation:

To solve this problem we multiply the amount by the percent and add them up to get the total amount times the percent

amount * percent + amount * percent = total amount * percent

4  * .20 + 12  * .40 = (4+12) * x

.8 + 4.8 = 16 x

Combine like terms

5.6 = 16x

Divide by 16

5.6/16 = 16x/16

.35 =x

35 percent


4 0
3 years ago
The graphs below have the same shape. What is the equation of the red graph?
Sveta_85 [38]

we have

g(x)=4-x^{2}

the vertex of the function g(x) is the point (0,4)

the vertex of the function f(x) is the point (0,0)

so

the rule of the translation of g(x) to f(x) is

(x,y)------> (x,y-4)

that means

the translation is 4 units down

therefore

the equation of the function f(x) is

f(x)=g(x)-4\\f(x)=(4- x^{2})-4 \\f(x)=- x^{2}

therefore

<u>the answer is</u>

f(x)=- x^{2}

8 0
3 years ago
Read 2 more answers
I WILL GIVE BRAINLEST IF YOU ANSWER BOTH WITH EXPLANATION please dont let me fail :(
Lapatulllka [165]
I see grey but if that’s black okay.
2/5

You had a 2/5 chance
He had a 1/4 chance
8 0
3 years ago
Read 2 more answers
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