What is 713.49 written in standard form?

-3(x + 1) + 7x + 8 = 5x - x + 6 - 2

Karo-lina-s [1.5K]

Answer: 5=4 (empty set)

Step-by-step explanation:

(-3x + 7x) + (-3+ 8) = (5x + -x) + (6+-2)

4x + 5 = 4x + 4

Each 4x cancel each other out

5=4

7 0

3 years ago

Eloise scored a total of 268 points during the basketball season. Of her total points, l points came from left handed shots. She

Naddik [55]

Answer:

$\bold{268=225+}l$

43

Step-by-step explanation:

Given that:

Total points scored in basketball season, T = 268

Points scored from right handed shots, R = 225

Points scored from left handed shots = $l$

To find:

To write an equation to describe the situation and find the value of $l$ for left handed shots ?

Solution:

We know that the points can be scored in basketball either by right hand shots or by left hand shots.

In other words, we can say that:

Total points scored in basketball season = points scored from right handed shots + points scored from left handed shots

i.e.

$T = R + l\\\Rightarrow \bold{268=225+}l$

So, the equation is:

$\bold{268=225+}l$

Now, let us find the value of $l$ from the above equation:

$l=268-225\\\Rightarrow \bold{l = 43}$

Number of points scored from left handed shots = 43

8 0

3 years ago

An article includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberr

Veseljchak [2.6K]

Answer:

The calculated value |t| = 2.375 > 2.1009 at 0.05 level of significance

Null hypothesis is rejected 

Alternative hypothesis is accepted

The extra carbonation of cola results in a higher average compression strength

Step-by-step explanation:

Step(i):-

Given data

First sample size (n₁) = 10

mean of the first sample(x₁⁻) = 537

standard deviation of the first sample (S₁) = 22

second sample size (n₂) = 10

mean of the second sample (x₂⁻) = 559

standard deviation of the second sample (S₂) = 17

Step(ii):-

Null hypothesis : H₀:- The extra carbonation of cola results in a lower average compression strength

Alternative Hypothesis :H₁

The extra carbonation of cola results in a higher average compression strength

Step(iii):-

By using student's t -test for difference of means

Test statistic

  $t = \frac{x^{-} _{1}-x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } } )}$ 

 where 

  $S^{2} = \frac{n_{1}S^{2} _{1} + n_{2} S_{2} ^{2} }{n_{1}+n_{2} -2 }$ 

  $S^{2} = \frac{10(22)^{2} + 10 (17) ^{2} }{10+10 -2 } = \frac{ 7730}{18} = 429.4$ 

  $t = \frac{537-559 }{\sqrt{429.4 (\frac{1}{10 }+\frac{1}{10 } } )}$ 

 t = -2.375

|t| = |-2.375| = 2.375

Degrees of freedom

γ = n₁+n₂ -2 = 10+10-2 =18

 $t_{\frac{\alpha }{2} ,n-1}=t_{(\frac{0.05}{2} ,18)} = t_{(0.025,18)}}=2.1009$ 

The calculated value |t| = 2.375 > 2.1009 at 0.05 level of significance

Null hypothesis is rejected 

Alternative hypothesis is accepted

Final answer:-

The extra carbonation of cola results in a higher average compression strength

 

5 0

3 years ago

Ok this has nothing to so with my assignments or anything but i have a serious question please help so my question is....

umka2103 [35]

If she is stated in the will she can. If not, then she can't unless You simply give it to her once you inherit the money.

5 0

3 years ago

What is the volume of a cone (in cubic inches) with a radius of 6 inches and a height of 3 inches? Use 3.14 for π. Round your an

ICE Princess25 [194]

When you square the radius = 6×6= 36. Multiply 36×3×3.14=339.12. Using the formula, you then multiply 1/3×339.12=339.12/3= 113.04 in^3. Final answer is 113.04^3

4 0

3 years ago