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3 years ago

Please help me please thank you

Mathematics

2 answers:

AleksandrR [38]3 years ago

7 0

Answer:

x = 15

Step-by-step explanation:

angles 2 and 4 are supplementary so they add up to 180

2x + 10 + 4x + 80 = 180

6x + 90 = 180

6x = 90

x = 15

mariarad [96]3 years ago

7 0

Answer:

x=15

Step-by-step explanation:

Angles 2 and 4 are same-side interior angles. This means that if they are supplementary angles, then the lines A and B are parallel.

Supplementary angles, when added together, will equal a total of 180°. Set up an equation in which the angles are added and are equal to 180:

$(2x+10)+(4x+80)=180$

Solve for x. Remove the parentheses and combine like terms:

$2x+10+4x+80=180\\\\2x+4x+10+80=180\\\\6x+90=180$

Work to isolate the variable, x. Subtract 90 from both sides:

$6x+90-90=180-90\\\\6x=90$

Isolate x. Divide both sides by 6:

$\frac{6x}{6}=\frac{90}{6} \\\\x=15$

The value of x is 15.

:Done

If you want to check your work, insert the value of x into the angles, and add them. If the answer is 180, then the value of x is true:

$2x+10\\\\2(15)+10\\\\30+10\\\\40$

∠2=40

$4x+80\\\\4(15)+80\\\\60+80\\\\140$

∠4=140

∠2+∠4=180

40+140=180

The value of x is true.

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A sock drawer contains eight navy blue socks and five black socks with no other socks. If you reach in the drawer and take two s

Rzqust [24]

Answer:

a. the probability of picking a navy sock and a black sock = P (A & B)

= (8/13 ) * (5/12) = 40/156 = 0.256

b. the probability of picking two navy or two black is

= 56/156 + 20/156 = 76/156 = 0.487

c. the probability of either 2 navy socks is picked or one black & one navy socks.

= 40/156 + 56/156 = 96/156 = 0.615

Step-by-step explanation:

A sock drawer contains 8 navy blue socks and 5 black socks with no other socks.

If you reach in the drawer and take two socks without looking and without replacement, what is the probability that:

Solution:

total socks = N = 8 + 5 + 0 = 13

a) you will pick a navy sock and a black sock?

Let A be the probability of picking a navy socks first.

Then P (A) = 8/13

without replacing the navy sock, will pick the black sock, total number of socks left is 12.

Let B be the probability of picking a black sock again.

P (B) = 5/12.

Then, the probability of picking a navy sock and a black sock = P (A & B)

= (8/13 ) * (5/12) = 40/156 = 0.256

b) the colors of the two socks will match?

Let A be the probability of picking a navy socks first.

Then P (A) = 8/13

without replacing the navy sock, will pick another navy sock, total number of socks left is 12.

Let B be the probability of another navy sock again.

P (B) = 7/12.

Then, the probability of picking 2 navy sock = P (A & B)

= (8/13 ) * (7/12) = 56/156 = 0.359

Let D be the probability of picking a black socks first.

Then P (D) = 5/13

without replacing the black sock, will pick another black sock, total number of socks left is 12.

Let E be the probability of another black sock again.

P (E) = 4/12.

Then, the probability of picking 2 black sock = P (D & E)

= (5/13 ) * (4/12) = 5/39 = 0.128

Now, the probability of picking two navy or two black is

= 56/156 + 20/156 = 76/156 = 0.487

c) at least one navy sock will be selected?

this means, is either you pick one navy sock and one black or two navy socks.

so, if you will pick a navy sock and a black sock, the probability of picking a navy sock and a black sock = P (A & B)

= (8/13 ) * (5/12) = 40/156 = 0.256

also, if you will pick 2 navy sock, Then, the probability of picking 2 navy sock = P (A & B)

= (8/13 ) * (7/12) = 56/156 = 0.359

now either 2 navy socks is picked or one black one navy socks.

= 40/156 + 56/156 = 96/156 = 0.615

4 0

2 years ago

(15y^0 x^-3 z^2/ 3x^3 y^7 z^1/2)^2

ArbitrLikvidat [17]

Hello! For this you are just going to do this step by step, and remember to use PEMDAS. That is the order in which you should do the math. The abbreviation stands for Parenthesis, exponents, multiplication, division, addition and subtraction. So lets get started!
((15y0x−3z23x3)(y7)z12)2=254x6y14z6x6=254y14z6

Hope this helps!! If you need any more help or further explanation just let me know!! :)

6 0

3 years ago

The product of two numbers is 161 , one of number is 7,find the other number.

Diano4ka-milaya [45]

let the other number be " n "

now, according to above condition :

n × 7 = 161

n = 161 ÷ 7

n = 23

therefore, the other number would be 23.

4 0

3 years ago

In the book Essentials of Marketing Research, William R. Dillon, Thomas J. Madden, and Neil H. Firtle discuss a research proposa

MakcuM [25]

Answer:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

$z=\frac{0.179-0.15}{\sqrt{0.17(1-0.17)(\frac{1}{140}+\frac{1}{60})}}=0.500$

$p_v =2*P(Z>0.500)=0.617$

So the p value is a very low value and using any significance level for example $\alpha=0.05, 0,1,0.15$ always $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the two proportions NOT differs significantly.