the sum of the ages of a son and his father is 35 years and the product of their ages is
150 .find their present ages​

Solution:

Required margin of error  = 0.05

Estimated population proportion p = 0.8

Significance level = 0.10

The [tex]\text{provided estimate population proportion}[/tex] p is 0.8

The significance level, α = 0.1 is [tex]z_c=1.645[/tex], which is obtained by looking into a standard normal probability table.

The number of patients surveyed to estimate the population proportion p within the required margin of error :

[tex]$n \geq p(1-p)\left(\frac{z_c}{E}\right)^2$[/tex]

  [tex]$=0.8\times (1-0.8)\left(\frac{1.64}{0.05}\right)^2$[/tex]

  = 173.15

Therefore, the number of patients surveyed to satisfy the condition is n ≥ 173.15 and  it must be an integer number.

Thus we conclude that the number of patients surveyed so the margin of error of 90% confidence interval is within 0.05 are n= 174.

We are given the equation below:

[tex] \large{ {p}^{2} = \frac{9}{36} }[/tex]

Use the property below:

[tex] \large \boxed{ {x}^{2} = \frac{a}{b} \longrightarrow x = \pm \frac{ \sqrt{a} }{ \sqrt{b} } \: \: (a \geqslant 0 \: \: and \: \: b > 0)}[/tex]

From the equation:

[tex] \large{p = \pm \frac{ \sqrt{9} }{ \sqrt{36} } } \\ \large{p = \pm \frac{3}{6} \longrightarrow p = \pm \frac{1}{2} }[/tex]

Hence the answer is p = ± 1/2.

Answer

Both answers work. The second answer is in the plus-minus form.

Hope this helps! Let me know if you have any doubts.

Answer:

0.1,0.5,0.8,0.9

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer: The value of x is 13.

Step-by-step explanation:

Area of trapezoid = [tex]\dfrac{1}{2}\times\text{sum of parallel sides}\times\text{height}[/tex]

Here , Parallel sides = 9 cm , x cm

Height (Altitude ) = 5 cm

Area = 55 sq. cm

Substitute all values in the formula , we get

[tex]55=\dfrac12\times{(9+x)}\times5\\\\ \dfrac{2\times55}{5}=9+x\\\\ 22=9+x\\\\ x=22-9\\\\ x=13[/tex]

Hence, the value of x is 13.

A. 34cm

Hope this helps! :)

Answer:

I think it’s b but I’m not 100% sure tho…

Answer:

C

Step-by-step explanation:

7x+ 11x=90

because the whole angle is

90 which makes it the answer Wich make the X a number we don't know what it is but know it helps make the exaction =90

Answer:

option c is correct

Step-by-step explanation:

7x + 11x =90 degree (being perpendicular)

18x=90

x=90/18

x=5

Answer:

What is the question pls

Answer:

The answer is A. 6.4 and 5.6 and D. 39 and 27.

Step-by-step explanation:

A. 6.4 and 5.6 = 1.6 and 1.4

6.4 / 1.6 = 4

1.4 * 4 = 5.6

So A is correct.

D. 39 and 27 = 13 and 9

39 / 13 = 3

9 * 3 = 27

So D is correct.

Hope this helps! :)

Answer:

d yr welcome

Step-by-step explanation:

Option 'B' is the correct option:

[tex]\frac{3^{3} }{4^{2} }=\frac{3*3*3}{4*4} =\frac{27}{16}[/tex]

==============================================

Work Shown:

a^2+b^2 = c^2

7^2+20^2 = 21^2

49+400 = 441

449 = 441

We end up with a false equation, so the original equation is false for those a,b,c values.

By the pythagorean theorem converse, we do not have a right triangle.

Because a^2+b^2 > c^2, this triangle is acute.

Step by step explaination

y-4x= -4

y= 4x-4

slope of the given eqn of line = 4

and since the required line is parallel to the given line , slope of required line = slope of the given eqn of line = 4

OPTION C , the eqn has slope = 4

Answer:

Step-by-step explanation:

The degrees around a point = 360, so

1. x + 95 + 3y + 80 = 360 so

2. x + 3y = 185

3. 65 + 3y = 185 and

3y = 120 so

y = 40

Answer:

y=40

Step-by-step explanation:

sum of all 3 angles : 240

3y+240=360

3y=360-240=120

y=3÷120

y=40

Answer:

Step-by-step explanation:

This is a parallelogram. In parallelogram, opposite sides are equal.

x + 3 = 6

     x = 6 - 3

    x = 3

Answer:

3

Step-by-step explanation:

parallelogram - top side = bottom side (parallel sides)

; x + 3 = 6

; x = 6 - 3

; x = 3

Answer:

36km/h

speed =distance/time

= 90/2.5

=36km/h

Answer:

9n-8 is the product

Answer:

Search Quickmath in Chrome and

all problem will solve... I hope it helps and trust me it works

Answer:

50$

Step-by-step explanation:

5% of 500=25

If you earn 25 per year then in two years you will earn

25+25=50$

7x+18-answer

Step-by-step explanation:

3

+

8

+

4

+

1

0

3x+8+4x+10

3x+8+4x+10

Simplify

1

Add the numbers

3

+

8

+

4

+

1

0

3x+{\color{#c92786}{8}}+4x+{\color{#c92786}{10}}

3x+8+4x+10

3

+

1

8

+

4

3x+{\color{#c92786}{18}}+4x

3x+18+4x

2

Combine like terms

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]3x + 8 + 4x + 10[/tex]

Bring the like terms together & add them.

[tex]3x + 8 + 4x + 10 \\ = 3x + 4x + 8 + 10 \\ = 7x + 18[/tex]

[tex]\underline{\textsf{\textbf{Answer = 7x + 18}}}[/tex]

____________________

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[tex]RainbowSalt2^{2}2^{2}[/tex]

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Answer:

Independent

Step-by-step explanation:

Since the ball is replaces, the same number of balls and type of balls are in the bag.  The draw is identical to the first draw so the draws are independent.

Answer:

speed

Step-by-step explanation:

Answer:

(x - 7)² + (y - 2)² = 4

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (7, 2 ) and r = 2 , then

(x - 7)² + (y - 2)² = 2² , that is

(x - 7)² + (y - 2)² = 4 ← equation of circle

Step-by-step explanation:

a union b is 0 1 3 5 6 7 and 9 thank you very much please mark the answer as brainliest