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bagirrra123 [75]
3 years ago
8

3 x + y = − 14 4 x + 4 y = − 16

Mathematics
1 answer:
aev [14]3 years ago
4 0

Answer:

y=1

x=-5

Step-by-step explanation:

3x+y=-14

4x+4y=-16

y=-3x-14

4x+4y=-16

y=-3x-14

4(-3x-14)+4x=-16

y=-3x-14

-8x-56=-16

y=-3x-14

-8x=40

y=-3x-14

x=-5

y=1

x=-5

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Chords and arcs. Can someone please help me with this and explain???20 points
anyanavicka [17]

Answer:

89

Step-by-step explanation:

So the line segment CD is 12.7 and half that is 6.35.  I wanted this 6.35 so I can look at the right triangle there and find the angle there near the center.  This will only be half the answer.  So I will need to double that to find the measure of arc CD.  

Anyways looking at angle near center in the right triangle we have the opposite measurement, 6.35, given and the hypotenuse measurement, 9.06, given. So we will use sine.

sin(u)=6.35/9.06

u=arcsin(6.35/9.06)

u=44.5 degrees

u represented the angle inside that right triangle near the center.  

So to get angle COD we have to double that which is 89 degrees.  

So the arc measure of CD is 89.  

5 0
2 years ago
Express the number 20000 as a single digit integer times a power of 10
PolarNik [594]
The answer is 2 x 10^4 or 2 to the power of 4 (4th power) where;
2  x 10 x 10 x 10 x 10
2 x 10 =20
20 x 10= 200
200 x 10 = 2000
2000 x 10 = 20 000

Expressing a number to a single digit integer times a power of 10 is also writing a number in scientific form,where the number is multiplied by 10 to nth "power". Scientific notation is also called standard index form whereby, too large or too big numbers.
In writing the scientific notation of a number it follows this form: m x 10^n ( m is multiplied to 10 to the power of n)  where, m, the coefficient, is the real number and n is the exponent integer.<span><span /></span>

3 0
3 years ago
Please I need help, I've been stuck in this for about 30 minutes now
Anna35 [415]

Answer:

look where infinity you have to write 5

Step-by-step explanation:

1, line of infinity 5

2. 7 8

3. 6 2

4. 0 1

5

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7.7 8, 2 5, 6 3

4 0
2 years ago
A local police chief claims that 31% of all drug-related arrests are never prosecuted. A sample of 500 arrests shows that 27% of
Elis [28]

Answer:

z=\frac{0.27 -0.31}{\sqrt{\frac{0.31(1-0.31)}{500}}}=-1.933  

p_v =P(Z  

If we compare the p value obtained and the significance level given \alpha=0.02 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL reject the null hypothesis, and we can said that at 2% of significance the proportion of arrests that were not prosecuted is not significanlty less than 0.31.  

Step-by-step explanation:

1) Data given and notation

n=500 represent the random sample taken

X represent the number of arrests that were not prosecuted.

\hat p=0.27 estimated proportion of arrests that were not prosecuted

p_o=0.31 is the value that we want to test

\alpha=0.02 represent the significance level

Confidence=98% or 0.98

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is less than 0.31.:  

Null hypothesis:p\geq 0.31  

Alternative hypothesis:p < 0.31  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.27 -0.31}{\sqrt{\frac{0.31(1-0.31)}{500}}}=-1.933  

4) Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.02. The next step would be calculate the p value for this test.  

Since is a left tailed test the p value would be:  

p_v =P(Z  

If we compare the p value obtained and the significance level given \alpha=0.02 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL reject the null hypothesis, and we can said that at 2% of significance the proportion of arrests that were not prosecuted is not significanlty less than 0.31.  

3 0
3 years ago
In​ 2005, out of every 50 employees at a company were women. If there are total company​ employees, estimate the number of women
myrzilka [38]

Answer:

9248

Step-by-step explanation:

let x be the number of women out of 41285 total company employees then we have the following proportion

11.2 : 50 = x : 41285

x = (41285 * 11.2)/50

x = 9247.84

the number of women is 9247.84 or if we round it since we can not have 0.84 of a woman employee, is it 9248.

3 0
2 years ago
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