What does the coordinate (6, 60) on the above graph mean?

What is the slope of the line y = -5x +1 ?

laila [671]

Answer:

-5

Step-by-step explanation:

Remember the slope intercept form:

y = mx + b

m = Slope value

b = y-intercept

So in this case,

y = (-5)x + b

m = -5

b = 1

Thus the answer is -5

3 0

3 years ago

While conducting a test of modems being manufactured, it is found that 10 modems were faulty out of a random sample of 367 modem

Kitty [74]

Answer:

We conclude that this is an unusually high number of faulty modems.

Step-by-step explanation:

We are given that while conducting a test of modems being manufactured, it is found that 10 modems were faulty out of a random sample of 367 modems.

The probability of obtaining this many bad modems (or more), under the assumptions of typical manufacturing flaws would be 0.013.

Let p = population proportion.

So, Null Hypothesis, $H_0$ : p = 0.013 {means that this is an unusually 0.013 proportion of faulty modems}

Alternate Hypothesis, $H_A$ : p > 0.013 {means that this is an unusually high number of faulty modems}

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 faulty modems= $\frac{10}{367}$ = 0.027

n = sample of modems = 367

So, the test statistics = $\frac{0.027-0.013}{\sqrt{\frac{0.013(1-0.013)}{367} } }$

= 2.367

The value of z-test statistics is 2.367.

Since, we are not given with the level of significance so we assume it to be 5%. Now at 5% level of significance, the z table gives a critical value of 1.645 for the right-tailed test.

Since our test statistics is more than the critical value of z as 2.367 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that this is an unusually high number of faulty modems.

6 0

3 years ago

What is the equivalent fraction for 21/8?

Law Incorporation [45]

There are infinite equivalent fraction can be obtained just multiple by any number to both numerator and denominator and you will find equivalent fraction !

as 42/16, 63/24 etc

6 0

2 years ago

3(x-5) = 30 Solve for x. Only type in the number value for x for your answer

Feliz [49]

Answer:

x=15

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

4 0

3 years ago

After dinner 2/3 of a pan of lasagna is left. The hole pan of Lasagna was originally cut in into pieces that were each 1/6 of th

Paraphin [41]

Answer:

An equation represents the number of pieces of lasagna that are left after dinner is $\frac{1}{6}x=\frac{2}{3}$

Step-by-step explanation:

Each piece of Lasagna is 1/6 of the pan

Let x be the number of pieces left

So, x pieces is $\frac{1}{6}x$ of the pan

We are given that After dinner 2/3 of a pan of lasagna is left.

So, $\frac{1}{6}x=\frac{2}{3}$

$x=\frac{2}{3} \times 6$

x=4

So, Number of pieces left = 4

Hence An equation represents the number of pieces of lasagna that are left after dinner is $\frac{1}{6}x=\frac{2}{3}$

8 0

3 years ago