All categories

3 years ago

Which question can be represented by the equation ?

Mathematics

1 answer:

GarryVolchara [31]3 years ago

3 0

Answer:

First, let's write the problem.

4+3s-9s=22

Add like terms,

4-6s=22

Subtract 4 from both sides.

4-6s-4=22-4

-6s=18

Divide both sides by -6.

\frac{-6s}{-6}=\frac{18}{-6}

Our final answer would be,

s=-3

You can feel free to let me know if you have any questions regarding this!

Thanks!

Step-by-step explanation:

You might be interested in

Is 0.529 greater than 0.54

attashe74 [19]

No. 0.54 is equal to 0.540

0.540 > 0.529

6 0

3 years ago

Read 2 more answers

A container holds 44 cups of water. how much is this in gallons

Zepler [3.9K]

Answer:

44 cups = 27.5 gallons

Step-by-step explanation:

Using the conversion:

1 cup = 0.625 gallons

We can find what is 44 cups in gallons.

=> 1 cup = 0.625 gallons

=> 44 x 1 = 0.625 x 44

=> 44 cups = 0.625 x 44 gallons

=> 44 cups = 27.5 gallons

Therefore, 44 cups = 27.5 gallons.

Hoped this helped.

7 0

2 years ago

A model rocket is launched straight into the air from platform 3 feet above the ground with an intial velocity of 192 feet per s

Pachacha [2.7K]

Answer:

Step-by-step explanation:

the function -16t^2 + 64t + 192 give the height S, in ft, of a model water rocket launched with a velocity of 64 ft/second from a hill that is 192 ft high. a) determine how long it will take the rocket to reach the ground, b) find the interval on which the height of the rocket is greater than 240 ft.

6 0

2 years ago

Y= |x−3| + |x+2| − |x−5|, if x>5 I need to know what y equals.

olganol [36]

Answer:

$y \ge9$

Step-by-step explanation:

The given function is

$y = |x - 3| + |x + 2| - |x - 5|$

By the triangle inequality property,

$|x + y| \leqslant |x| + |y|$

and the alternate triangle inequality property;

$|x - y| \geqslant |x| - |y|$

We apply this property to get:

$y \geqslant |x | - |3| + |x | + |2| -( |x | - |5| )$

Expand parenthesis to get:

$y \geqslant |x | - |3| + |x | + |2| - |x | + |5|$

Simplify to get:

$y \geqslant |x | - 3+ |x | + 2- |x | + 5$

Group similar terms to get:

$y \geqslant |x | + |x | - |x | - 3 + 2+ 5$

$y \geqslant |x | + 4$

When x>5,

$y \geqslant |5 | + 4$

That's;

$y \geqslant 5 + 4 \\ y \geqslant 9$

5 0

2 years ago

A survey of 2,254 American adults indicates that 17% of cell phone owners browse the internet exclusively on their phone rather

GrogVix [38]

Answer:

We conclude that the proportion of Americans who only use their cell phones to access the internet is different than the Chinese proportion of 38%.

Step-by-step explanation:

We are given that a survey of 2,254 American adults indicates that 17% of cell phone owners browse the internet exclusively on their phone rather than a computer or other device. According to an online article, a report from a mobile research company indicates that 38 percent of Chinese mobile web users only access the internet through their cell phones.

We have to conduct a hypothesis test to determine if these data provide strong evidence that the proportion of Americans who only use their cell phones to access the internet is different than the Chinese proportion of 38%.

Let p = proportion of Americans who only use their cell phones to access the internet

SO, Null Hypothesis, $H_0$ : p = 38% {means that the proportion of Americans who only use their cell phones to access the internet is same as that of Chinese proportion of 38%}

Alternate Hypothesis, $H_a$ : p $\neq$ 38% {means that the proportion of Americans who only use their cell phones to access the internet is different than the Chinese proportion of 38%}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1- \hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = proportion of cell phone owners who browse the internet

exclusively on their phone in a survey of 2,254 adults = 17%

n = sample of adults = 2,254

So, test statistics = $\frac{0.17-0.38}{\sqrt{\frac{0.17(1- 0.17)}{2,254} } }$

= -26.542

Since in the question we are not given with the significance level so we assume it to be 5%. So, at 0.05 level of significance, the z table gives critical values between -1.96 and 1.96 for two-tailed test. Since our test statistics does not lie in between the critical values of z so we have sufficient evidence to reject null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the proportion of Americans who only use their cell phones to access the internet is different than the Chinese proportion of 38%.

3 0

3 years ago