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2 years ago

Solve the equation. Please show working :D :) 1/2y-21/4=-35/4 for y

1 answer:

6 0

Let's solve your equation step-by-step.1/2y−21/4=−35/4Step 1: Simplify both sides of the equation.12y+−21/4=−35/4Step 2: Add 21/4 to both sides.1/2y+−21/4+21/4=−35/4+21/41/2y=−7/2Step 3: Multiply both sides by 2.2*(1/2y)=2*(−7/2)y=−7Answer:y=−7

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What is a decimal in standard form: 12 and six hundredths forty-six ten-thousandths

aev [14]

The decimal in standard form for 12 and six hundredths is 12.06

4 0

2 years ago

Tell whether the ordered pair is a solution to the equation. (1, 3); 4x – 3y = -5

Bumek [7]

Answer:

Yes

Step-by-step explanation:

4(1)-3(3)=-5

4-9=-5

-5=-5

8 0

1 year ago

[6+4=10 points] Problem 2. Suppose that there are k people in a party with the following PMF: • k = 5 with probability 1 4 • k =

kirza4 [7]

Answer:

1). 0.903547

2). 0.275617

Step-by-step explanation:

It is given :

K people in a party with the following :

i). k = 5 with the probability of $\frac{1}{4}$

ii). k = 10 with the probability of $\frac{1}{4}$

iii). k = 10 with the probability $\frac{1}{2}$

So the probability of at least two person out of the 'n' born people in same month is = 1 - P (none of the n born in the same month)

= 1 - P (choosing the n different months out of 365 days) = $1-\frac{_{n}^{12}\textrm{P}}{12^2}$

1). Hence P(at least 2 born in the same month)=P(k=5 and at least 2 born in the same month)+P(k=10 and at least 2 born in the same month)+P(k=15 and at least 2 born in the same month)

= $\frac{1}{4}\times (1-\frac{_{5}^{12}\textrm{P}}{12^5})+\frac{1}{4}\times (1-\frac{_{10}^{12}\textrm{P}}{12^{10}})+\frac{1}{2}\times (1-\frac{_{15}^{12}\textrm{P}}{12^{15}})$

= $0.25 \times 0.618056 + 0.25 \times 0.996132 + 0.5 \times 1$

= 0.903547

2).P( k = 10|at least 2 share their birthday in same month)

=P(k=10 and at least 2 born in the same month)/P(at least 2 share their birthday in same month)

= $0.25 \times \frac{0.996132}{0.903547}$

= 0.0.275617

6 0

2 years ago

Find the measure of each angle :Supplementary angles with measures (2x+4) and (3x+1)

denpristay [2]

First of all, we need to know what is supplementary angle is. It's means that two angles add together to get 180° angle. For examples, 135° and 45° angles add together called supplemtary angles.
Now, we know Supplementary angles with measures (2x+4) and (3x+1), so
(2x+4)+(3x+1)=180
2x+4+3x+1=180
Combining like terms
2x+3x+4+1=180
5x+5=180
Subtract 5 to each side
5x+5-5=180-5
5x=175
Divided 5 to each side
5x/5=175/5
x=35°
Next, find the measure of two angles by substitute x=35° with (2x+4) and (3x+1), so
2x+4
=2(35)+4
=70+4
=74°

(3x+1)
=3x+1
=3(35)+1
=105+1
=106°. As a result, the two supplementary angle are 106° and 74°. Hope it help!

4 0

2 years ago

Read 2 more answers

Can anybody help me with this question please ?

storchak [24]

Answer:

x = 8.75, y = 8.125

Step-by-step explanation:

The triangles are similar thus the ratios of corresponding sides are equal, that is

$\frac{8}{5}$ = $\frac{14}{x}$ ( cross- multiply )