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3 years ago

What is the solution a: (6,5) b: (5,6) c: (1,2) d: (2,1)

Mathematics

2 answers:

noname [10]3 years ago

4 0

Answer:

(5,6)

Step-by-step explanation:

I'm guessing you mean the coordinates for the point where the lines intersect

AysviL [449]3 years ago

3 0

Answer:

I believe it is b: (5,6)

Explanation:

The point (5,6) is the only point on the graph that both lines go through.

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The amount of money spent on textbooks per year for students is approximately normal.

Ostrovityanka [42]

Answer:a

$336.04 < \mu < 443.96$

The margin of error will increase

The margin of error will decreases

The 99% confidence interval is $0.4107 < p < 0.4293$

Step-by-step explanation:

From the question we are told that

The sample size $n = 19$

The sample mean is $\= x = \$\ 390$

The standard deviation is $\sigma = \$ \ 120$

Given that the confidence level is 95% then the level of significance is mathematically represented as

$\alpha = 100 - 95$

$\alpha = 5 \%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table

$Z_{\frac{\alpha }{2} } = 1.96$

The margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

=> $E = 1.96 * \frac{120}{\sqrt{19} }$

=> $E = 53.96$

The 95% confidence interval is

$\= x - E < \mu < \= x + E$

=> $390 - 53.96 < \mu < 390 - 53.96$

=> $336.04 < \mu < 443.96$

When the confidence level increases the $Z_{\frac{\alpha }{2} }$ also increases which increases the margin of error hence the confidence level becomes wider

Generally the sample size mathematically varies with margin of error as follows

$n \ \ \alpha \ \ \frac{1}{E^2 }$

So if the sample size increases the margin of error decrease

The sample proportion is mathematically represented as

$\r p = \frac{210}{500}$

$\r p = 0.42$

Given that the confidence level is 0.99 the level of significance is $\alpha = 0.01$

The critical value of $\frac{\alpha }{2}$ from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 2.58$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} }* \sqrt{ \frac{\r p (1- \r p )}{n} }$

=> $E = 0.42 * \sqrt{ \frac{0.42 (1- 0.42 )}{ 500} }$

=> $E = 0.0093$

The 99% confidence interval is

$\r p - E < p < \r p + E$

$0.42 - 0.0093 < p < 0.42 + 0.0093$

$0.4107 < p < 0.4293$

4 0

4 years ago

Kylie has 14 polished stones. Her friend gives her 6 more stones. Write an expression to match the words

Elis [28]

An expression is like an equation, but without an equal sign.

Therefore, you could say...

14 stones + 6 stones

or just...

14 + 6

3 0

3 years ago

Read 2 more answers

A triangle has a side length of 5.4 and 7 x x=

Burka [1]

Answer:

D. 8.8

Step-by-step explanation:

As the pythagorean theorem.

A² + B² = C²,

5.4 × 5.4 + 7 × 7 = C²,

29.16 + 49 = C²,

78.16 = C²,

8.8 ≈ C

4 0

3 years ago

Find the slope passing through the points (-3,4) and (2,-1).

stellarik [79]

1)

Given two points: (x₁,y₁) and (x₂,y₂) the slope of the line passing through these points would be:
m=(y₂-y₁)/(x₂-x₁)

Data:
We have two points, (-3,4) and (2,-1), therefore, the slope of the line passing through these points will be:

m=(-1-4) /(2+3)=-5/5=-1

Answer: The slope would be -1.

2)
slope-intercept form of a line:
y=mx+b
m=slope
b=y-intercept

Therefore:
m=2
b=y-intercept=-4

The line would be: y=2x-4

answer: the equation of this line would be: y=2x-4

3 0

3 years ago

J(x)=−45x+7; j(x)=−5

ASHA 777 [7]

Answer:

x = 4/15

Step-by-step explanation:

Step 1: Define

j(x) = -45x + 7

j(x) = -5

Step 2: Substitute and Evaluate

-5 = -45x + 7

-12 = -45x

x = 4/15

3 0

4 years ago