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egoroff_w [7]
3 years ago
6

Please help me !!!

Mathematics
2 answers:
PtichkaEL [24]3 years ago
4 0
1)~2x^2+5x+3=(2x+3)(x+1)\\\\
2)~5m^2-17m+6=(5m-2)(m-3)\\\\
3)~6y^2-5y-4=(2y+1)(3y-4)\\\\
4)~12c^2+11c-5=(3c-1)(4c+5)
Dafna1 [17]3 years ago
3 0
I hope this helps you

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Han's house is 450 meters from school. Lin’s house is 135 meters closer to school. How far is Lin’s house from school?
Marina86 [1]

Solution:

<u>Note that:</u>

  • Han's house = 450 m from school
  • Lin's house = (450 - 135) from school

<u>Looking at the options, we can tell that the letter "z" represents Lin. </u>

  • => z = (450 - 135)
  • => z = 450 - 135

This option matches with Option D.

Option D is correct.

6 0
2 years ago
the state sales tax in pennsylvania is 0.06 (or 6%). if your total bill at the music store included $3.03 in sales tax, how much
Sedbober [7]
The answer is: 50.5

Solution:

3.03 x 100 = 303
303 ÷ 6 = 50.5
3 0
3 years ago
PLEASE HELP! I will give you the brainiest and A LOT of points! (Ch.5.3)
bearhunter [10]

Answer:

Multiplier = 1.75x (7/4).

7/8 cups butter, 4 and 3/8 ounces chocolate, 1 and 3/4 cups sugar, 7/8 teaspoons vanilla, 3 and 1/2 eggs (4 if rounded!), 1 and 5/16 cups flour.

Step-by-step explanation:

The ingredient list is for 16 brownies, but you need to make 28. This means you have to make 1.75x the amount (28/16), so all ingredient quantities need to be multiplied by 7/4 (1.75 in fraction form).

Butter: 1/2 * 7/4 = 7/8 cups

Chocolate: 5/2 * 7/4 = 4 and 3/8 ounces

Sugar: 1 * 7/4 = 1 and 3/4 cups

Vanilla: 1/2 * 7/4 = 7/8 teaspoons

Eggs: 2 * 7/4 = 3 and 1/2 eggs (if rounded, 4, as 3.5 rounds up)

Flour: 3/4 * 7/4 = 1 and 5/16 cups

3 0
3 years ago
The tensile strength of stainless steel produced by a plant has been stable for a long time with a mean of 72 kg/mm2 and a stand
Elanso [62]

Answer:

95% confidence interval for the mean of tensile strength after the machine was adjusted is [73.68 kg/mm2 , 74.88 kg/mm2].

Yes, this data suggest that the tensile strength was changed after the adjustment.

Step-by-step explanation:

We are given that the tensile strength of stainless steel produced by a plant has been stable for a long time with a mean of 72 kg/mm 2 and a standard deviation of 2.15.

A machine was recently adjusted and a sample of 50 items were taken to determine if the mean tensile strength has changed. The mean of this sample is 74.28. Assume that the standard deviation did not change because of the adjustment to the machine.

Firstly, the pivotal quantity for 95% confidence interval for the population mean is given by;

                         P.Q. = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean strength of 50 items = 74.28

            \sigma = population standard deviation = 2.15

            n = sample of items = 50

            \mu = population mean tensile strength after machine was adjusted

<em>Here for constructing 95% confidence interval we have used One-sample z test statistics as we know about population standard deviation.</em>

So, 95% confidence interval for the population mean, \mu is ;

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5% level of

                                                  significance are -1.96 & 1.96}  

P(-1.96 < \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < 1.96) = 0.95

P( -1.96 \times {\frac{\sigma}{\sqrt{n} } } < {\bar X-\mu} < 1.96 \times {\frac{\sigma}{\sqrt{n} } } ) = 0.95

P( \bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } } < \mu < \bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } } ) = 0.95

<u><em>95% confidence interval for</em></u> \mu = [ \bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } } , \bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } } ]

                 = [ 74.28-1.96 \times {\frac{2.15}{\sqrt{50} } } , 74.28+1.96 \times {\frac{2.15}{\sqrt{50} } } ]

                 = [73.68 kg/mm2 , 74.88 kg/mm2]

Therefore, 95% confidence interval for the mean of tensile strength after the machine was adjusted is [73.68 kg/mm2 , 74.88 kg/mm2].

<em>Yes, this data suggest that the tensile strength was changed after the adjustment as earlier the mean tensile strength was 72 kg/mm2 and now the mean strength lies between 73.68 kg/mm2 and 74.88 kg/mm2 after adjustment.</em>

8 0
3 years ago
A movie theater is giving away a souvenir poster to any customer with a concession stand receipt that exceeds $60. The
Doss [256]

Answer:

6x + 3.5y  is greater than 60

Step-by-step explanation:

Cost of x bags of popcorn = 6x

Cost of y bottles of soda = 3.5y

Total cost = 6x + 3.5y

To get a souvenir poster, this cost must exceed 60

6 0
3 years ago
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