2/7(x+4)=−6 help x=−35 x=−25 x = 25 x =35

I just need a starter to help me on this. Thanks:)

zhenek [66]

I could help. So mark days as the X value and hours as the Y value
so for the days(x) start with 1 and put in the hours(y) 24 the for the second column in the days(x) box put 2 and in the hours(y) put 48 then continue to at 12 to the hours(y) and 1 to the days(x)

5 0

4 years ago

Two number cubes are rolled for two separate events:

MatroZZZ [7]

Let us first make the sample space for the event A. The Sample Space will be:

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5)

(5,1) (5,2) (5,3) (5,4)

(6,1) (6,2) (6,3)

As can be clearly seen the Sample Space for the event A has 30 elements in it.

Now, it is given in the question that the event A has already occurred and we need to find the probability of the event B occurring given that the event A has already occurred.

Now, as we can see, from the sample space, only 11 events out of the 30 are the events of interest to us. This is shown in bold below:

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5)

(5,1) (5,2) (5,3) (5,4)

(6,1) (6,2) (6,3)

Thus, the probability that the event B occurs given that the event A has already occurred is:

$P(B|A)=\frac{11}{30}\approx0.367$

In percentage the required probability is 36.7% approximately.

3 0

3 years ago

An article describes an experiment to determine the effectiveness of mushroom compost in removing petroleum contaminants from so

alexgriva [62]

Solution :

Let $p_1$ and $p_2$ represents the proportions of the seeds which germinate among the seeds planted in the soil containing $3\%$ and $5\%$ mushroom compost by weight respectively.

To test the null hypothesis $H_0: p_1=p_2$ against the alternate hypothesis $H_1:p_1 \neq p_2$ .

Let $\hat p_1, \hat p_2$ denotes the respective sample proportions and the $n_1, n_2$ represents the sample size respectively.

$$\hat p_1 = \frac{74}{155} = 0.477419$

$n_1=155$

$$p_2=\frac{86}{155}=0.554839$

$n_2=155$

The test statistic can be written as :

$$z=\frac{(\hat p_1 - \hat p_2)}{\sqrt{\frac{\hat p_1 \times (1-\hat p_1)}{n_1}} + \frac{\hat p_2 \times (1-\hat p_2)}{n_2}}}$

which under $H_0$ follows the standard normal distribution.

We reject $H_0$ at $0.05$ level of significance, if the P-value or if $|z_{obs}|>Z_{0.025}$

Now, the value of the test statistics = -1.368928

The critical value = $\pm 1.959964$

P-value = $P(|z|> z_{obs})= 2 \times P(z< -1.367928)$

$=2 \times 0.085667$

= 0.171335

Since the p-value > 0.05 and $|z_{obs}| \ngtr z_{critical} = 1.959964$ , so we fail to reject $H_0$ at $0.05$ level of significance.

Hence we conclude that the two population proportion are not significantly different.

Conclusion :

There is not sufficient evidence to conclude that the $\text{proportion}$ of the seeds that $\text{germinate differs}$ with the percent of the $\text{mushroom compost}$ in the soil.

8 0

3 years ago

In large cities people out and take taxis to get from one place to another the cost is $25.20 every 36 miles how much is a 47 mi

Kay [80]

47 miles taxi ride will cost $32.9

Step-by-step explanation:

Given,

Cost every 36 miles = $25.20

Cost of one mile = $\frac{Cost\ for\ 36\ miles}{36}$

Cost of one mile = $\frac{25.20}{36}\\$

Cost of one mile = $0.7

Cost of 47 miles = Cost of one mile * 47

$Cost\ of\ 47\ miles = 0.7*47\\Cost\ of\ 47\ miles = \$32.9$

47 miles taxi ride will cost $32.9

Keywords: Division, multiplication

Learn more about multiplication at:

#LearnwithBrainly

5 0

3 years ago

In the equation below, variables X and Y represent two matrices. Which property of matrix addition is illustrated below? x+y=y+x

saw5 [17]

If [x] and [y] are matrices and
[x]+[y] = [y]+[x], then

(a) the matrices have the same number of rows and columns,
(b) the operation of matrix addition is commutative.

Answer: commutative

3 0

3 years ago

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