All categories

3 years ago

What is the value of the x variable in the solution to the following system of equations?

Mathematics

1 answer:

Elden [556K]3 years ago

6 0

-2 (x-2y=-5)

-2x+4y=10
2x+3y=4
0+7y=14
/7. /7
y=2

2x+3 (2)=4
2x+6=4
-6. -6
2x=-2
/2. /2
x=-1

You might be interested in

X: x is a positive counting number less 25}

rewona [7]

Answer:

As the givens set A contains 24 elements.

Therefore,

The Cardinality of the set A = 24

Step-by-step explanation:

Let the given set is A

A = {x: x is a positive counting number less 25}

The set of natural numbers is often termed as the Counting number set.

As the counting numbers are less than 25.

Thus,

Set A will be:

$A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24}$

The Cardinality of the set

The Cardinality of the set represents the total number of elements in a given set.

As the givens set A contains 24 elements.

Therefore,

The Cardinality of the set A = 24

3 0

3 years ago

A survey of 700 adults from a certain region asked, "What do you buy from your mobile device?" The results indicated that 59%

Kryger [21]

Answer:

a) the test statistic z = 1.891

the null hypothesis accepted at 95% level of significance

b) the critical values of 95% level of significance is zα =1.96

c) 95% of confidence intervals are (0.523 ,0.596)

Step-by-step explanation:

A survey of 700 adults from a certain region

Given sample sizes $n_{1} = 400 and n_{2} = 300$

Proportion of mean $p_{1} = \frac{236}{400} = 0.59 and p_{2} = \frac{156}{300} = 0.52$

Null hypothesis H0 : assume that there is no significant difference between males and women reported they buy clothing from their mobile device

p1 = p2

Alternative hypothesis H1:- p1 ≠ p2

a) The test statistic is

$Z = \frac{p_{1} -p_{2} }{\sqrt{pq(\frac{1}{n_{1} }+\frac{1}{n_{2} )} } }$

where $p = \frac{n_{1}p_{1} +n_{2}p_{2} }{n_{1}+n_{2}}= \frac{400X0.59+300X0.52}{700}$

on calculation we get p = 0.56

now q =1-p = 1-0.56=0.44

$Z = \frac{p_{1} -p_{2} }{\sqrt{pq(\frac{1}{n_{1} }+\frac{1}{n_{2} )} } }\\ =\frac{0.56-0.52}{\sqrt{0.56X0.44}(\frac{1}{400}+\frac{1}{300} }$

after calculation we get z = 1.891

b) The critical value at 95% confidence interval zα = 1.96 (from z-table)

The calculated z- value < the tabulated value

therefore the null hypothesis accepted

conclusion:-

assume that there is no significant difference between males and women reported they buy clothing from their mobile device

p1 = p2

c) 95% confidence intervals

The confidence intervals are P± 1.96(√PQ/n)

we know that = $p = \frac{n_{1}p_{1} +n_{2}p_{2} }{n_{1}+n_{2}}= \frac{400X0.59+300X0.52}{700}$

after calculation we get P = 0.56 and Q =1-P =0.44

Confidence intervals are ( P- 1.96(√PQ/n), P+ 1.96(√PQ/n))

now substitute values , we get

( 0.56- 1.96(√0.56X0.44/700), 0.56+ 1.96(0.56X0.44/700))

on simplification we get (0.523 ,0.596)

Therefore the population proportion (0.56) lies in between the 95% of confidence intervals (0.523 ,0.596)

3 0

3 years ago

In town 35% of 15 000 voters did not cast vote in election How many people cast their votes?

natita [175]

Let p = number of people that cast their vote.

p = 0.35(15, 000)

p = 5,250

7 0

3 years ago

Pls help I will give brainliest answer

notsponge [240]

Answer:

I think the answer is 8 rounding tho would be 10

Step-by-step explanation:

6 0

3 years ago

The perimeter of the triangle below is 99 units. Find the length of side WX.

frez [133]

Answer:

Step-by-step explanation:

Perimeter= 99

XV+VW+WX=99

4z+3z+1+z+2=99

8z+3=99

8z= 96

z=96/8

z= 12

WX= z+2= 12+2= 14.

Hope it helps :-)

8 0

3 years ago