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3 years ago

3y=4x+7 point a has coordinates (2,-6)

Mathematics

1 answer:

alexandr1967 [171]3 years ago

4 0

EXAMPLE

Find the distance between the points A(−4, −3) and B(5, 7).

SOLUTION

In this case, x1 = −4, x2 = 5, y1 = −3 and y2 = 7.

AB2 = (x2 − x1)2 + (y2 − y1)2

= (5 − (−4))2 + (7 − (−3))2

= 92 + 102

= 181

Thus, AB =

Note that we could have chosen x1 = 5, x2 = −4, y1 = 7 and y2 = −3 and still obtained the same result. As long as (x1, y1) refers to one point and (x2, y2) the other point, it does not matter which one is which.

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Math homework help exponents

Len [333]

Answer + Step-by-step explanation:

$\frac{5^{10}}{5^{5}} =5^{10-5} = 5^5$

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$(4^8)^3 = a^{8 \times 3}=a^{24}$

$\text{used property :} \ \ \ (a^n)^m = a^{n \times m}$

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$10^{-4}=\frac{1}{10^{4}} \ \text{not} \ \frac{1}{4^{10}}$

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15⁶ × 15³ = 15⁶⁺³ = 15⁹

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Recall : If a ≠0 ⇒ a⁰ = 1

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1 year ago

Use the stem and leaf plot shown to answer the following question.

DENIUS [597]

16, 18, 23, 25, 26, 34, 37, 37, 40, 41, 46

37 is the upper quartile value

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3 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%.

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3 years ago

Which relationship is always true for the angles RXY and Z or the triangle ABC

aksik [14]

Answer:

the answer is

x + y + z = 180 degrees

proof

the sum of all angles in the triangles is always equal to 180 degrees

Step-by-step explanation:

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3 years ago

A company uses two vans to transportworkers from a free parking lot to theworkplace between 7:00 and 9:00 a.m.One van has 6 more

OverLord2011 [107]

X = small van capacity, y = larger van capacity
y = x + 6

2x + y = 57
now we sub in x + 6 for y
2x + x + 6 = 57
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3x = 51
x = 51/3
x = 17

y = x + 6
y = 17 + 6
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small van (x) has 17 seats and large van (y) has 23 seats

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3 years ago