Synthetic Substitution <br><br><br> (x+y)(x^2-xy+y^2)

Sara brought a total of 8 nails at ace hardware. She purchased both 6 penny nails and 10 penny nails. She brought 2 more 6 penny

Fittoniya [83]

Answer:

Sara bought 5 6 penny nails and 3 10 penny nails

Step-by-step explanation:

7 0

3 years ago

The LB Company has long manufactured a light bulb with an average life of 5400 hours. Company researchers have recently develope

elena55 [62]

<h2><u>Answer with explanation</u>:</h2>

Let $\mu$ be the average life of light bulbs.

As per given , we have

Null hypothesis : $H_0 : \mu =5400$

Alternative hypothesis : $H_a : \mu >5400$

Since $H_a$ is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.

Formula for Test statistic : $z=\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

where, n= sample size

$\overline{x}$ = sample mean

$\mu$ = Population mean

$\sigma$ =population standard deviation

For $n=95,\ \overline{x}=5483\ \&\ \sigma=500$ , we have

$z=\dfrac{5483-5400}{\dfrac{500}{\sqrt{95}}}=1.61796786124\approx1.6180$

Using z-value table , Critical one-tailed test value for 0.06 significance level :

$z_{0.06}=1.5548$

Decision : Since critical z value (1.5548) < test statistic (1.6180), so we reject the null hypothesis .

[We reject the null hypothesis when critical value is less than the test statistic value .]

Conclusion : We have enough evidence at 0.06 significance level to support the claim that the new filament yields a longer bulb life

8 0

3 years ago

An astronaut weighs 174 pound on earth and 29 pound on the moon, if his daughter weighs 108 pounds on earth, what is his daughte

jekas [21]

Answer:

If my thinking is right she should weigh about 18 pounds or so.

Step-by-step explanation:

17% of 174 is 29

17% of 108 is 18

4 0

3 years ago

Sammy earns money for college by walking dogs and mowing lawns. She earns $3 for each dog she walks and $25 for each lawn she mo

Oxana [17]

Answer:

x = 3w + 25m

Step-by-step explanation:

The number of dogs she walks (w) and the number of lawns that Sammy mows (m) need to be multiplied by the amount of money that Sammy makes from each individual action. Both of these products are then added together to equal the total amount of money that Sammy has earned. All of this can be represented with the following expression where x is the total amount of money earned...

x = 3w + 25m

8 0

3 years ago

11x + 6y = 6 then graph the equation

maw [93]

Answer:

Step-by-step explanation:

Use the intercept method of graphing a straight line:

Let x = 0. We get y = 1. This is the y-intercept (0, 1).

Let y = 0. We get x = 6/11. This is the x-intercept (6/11, 0).

Plot both points and then draw a straight line through them.

6 0

3 years ago

Synthetic Substitution (x+y)(x^2-xy+y^2)