What is 9/12 as a sum of unit fractions

Jom!

andrey2020 [161]

Answer:

Step-by-step explanation:

5 0

3 years ago

What is this problem -12=4(x-7)-8x

Fofino [41]

-12=4(x-7)-8x

One solution was found :

x = -4

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

-12-(4*(x-7)-8*x)=0

Step by step solution :

Step 1 :

Equation at the end of step 1 :

-12 - (4 • (x - 7) - 8x) = 0

Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

4x + 16 = 4 • (x + 4)

Equation at the end of step 3 :

4 • (x + 4) = 0

Step 4 :

Equations which are never true :

4.1 Solve : 4 = 0

Hope this helps you, Have a nice day.

4 0

3 years ago

Does the equation I = 3 represent a function? Choose one option from each drop-down menu to explain your answer. For an equation

Inga [223]

Answer: x=3 isn't a function because multiple different inputs have the same outputs

Step-by-step explanation:

I dont know how to answer the first question since the dropdown is shown

3 0

2 years ago

Suppose a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%. A cell phon

leva [86]

Answer:

We conclude that the actual percentage of households is equal to 30%.

Step-by-step explanation:

We are given that a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%.

Their marketing people survey 150 households with the result that 43 of the households have three cell phones.

Let p = proportion of households that have three cell phones NOT known.

So, Null Hypothesis, $H_0$ : p = 30% {means that the actual percentage of households is equal to 30%}

Alternate Hypothesis, $H_A$ : p $\neq$ 30% {means that the actual percentage of households different from 30%}

The test statistics that would be used here One-sample z-test for proportions;

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

where, $\hat p$ = sample proportion of households having three cell phones = $\frac{43}{150}$ = 0.29

n = sample of households = 150

So, the test statistics = $\frac{0.29-0.30}{\sqrt{\frac{0.30(1-0.30)}{150} } }$

= -0.27

The value of z test statistic is -0.27.

Also, P-value of the test statistics is given by;

P-value = P(Z < -0.27) = 1 - P(Z $\leq$ 0.27)

= 1 - 0.6064 = 0.3936

Now, at 1% significance level the z table gives critical value of -2.58 and 2.58 for two-tailed test.

Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the actual percentage of households is equal to 30%.

4 0

3 years ago

Fiona is gathering signatures on a petition to save the Orangutans. If she gets 4 times the number of signatures that she has ri

Reika [66]

Answer: 2000

Step-by-step explanation:

Set up equation

The total signatures she needs is 4 times as many as she has. From this we can create the equation (4n = total signatures)

We know that the total number of signatures is 8000, so plug this into the equation to get 4n = 8000

Solve for n

Now that we have an equation, we can solve for n by dividing both sides by 4

4n = 8000

n = 8000 / 4 = 2000

Final Answer

Fiona has collected 2000 signatures so far

3 0

3 years ago