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3 years ago

Please answer the question as best as you can :)

Mathematics

1 answer:

cupoosta [38]3 years ago

7 0

Y=mx+b and since the slope is -2 then m=-2

if we plug in 1 and -7 we get the equation -7=-2(1)+b

then we just solve for b which would end up being b=-5

the slope intercept is y=-2x-5

You might be interested in

Tell whether the given value is a solution of the inequality. x + 1 > 10; x = 9

Oliga [24]

Answer:

given x+1 > 10,

x > 10 - 1

x > 9

which means x MUST BE more than 9 , which also means 9 isnt included in the inequality therefore x = 9 is not a solution.

6 0

3 years ago

Which fraction is equivalent to 825/1020

sweet [91]

$\dfrac{825}{1020}=\dfrac{825:5}{1020:5}=\dfrac{165:3}{204:3}=\dfrac{55}{68}\\\\\\\boxed{\frac{825}{1020}=\frac{55}{68}}$

8 0

4 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

4 years ago

)The number of elements in power set {1, 2, 3} is (a) 4 (b) 6 (c) 8 (d) 9

barxatty [35]

Answer:

Step-by-step explanation:

The number of elements in a power set = the number of subsets of a set

Formula:

Let S be a sent ,the number of elements of the power set of S =

$2^{\text{card(S)} }$

Where card(S) = number of element of S itself.

=======================================

In this case :

Card(S) = 3

Then

the number of elements of the power set of S =

$2^{3}=8$

5 0

3 years ago

An object is traveling at a steady speed of 10 and one tenth km/h. How long will it take the object to travel 4 and nine tenths

My name is Ann [436]

Answer:

Estimated Answer= $\frac{1}{2} hour$

Exact Answer= $\frac{49}{101} hr$

Step-by-step explanation:

Steady speed of the object =10 and one tenth km/h = $10\frac{1}{10} km/hr$

Distance to be Covered=4 and nine tenths km = $4\frac{9}{10}$ km

To the nearest integer,

Steady speed of the object = 10 km/hr

Distance=5km

$Time Taken = \frac{Distance}{Average Speed}$

= $=\frac{5}{10} =\frac{1}{2} hr$

The estimated answer is 1/2 hr.

Next, we determine the exact answer.

$Time Taken = \frac{Distance}{Average Speed}\\ = 4\frac{9}{10} \div 10\frac{1}{10}\\=\frac{49}{10} \div \frac{101}{10}\\=\frac{49}{10} X \frac{10}{101}\\=\frac{49}{101} hr$

The exact time taken is $\frac{49}{101} hr$

3 0

3 years ago