Find the equation of the straight line which passes through (3,5) and makes y-inte
r-intercept.​

Answer:

A sample size of 1031 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

37% of freshmen do not visit their counselors regularly.

This means that [tex]\pi = 0.37[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].

You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required?

A sample size of n is required.

n is found when M = 0.035. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.035 = 2.327\sqrt{\frac{0.37*0.63}{n}}[/tex]

[tex]0.035\sqrt{n} = 2.327\sqrt{0.37*0.63}[/tex]

[tex]\sqrt{n} = \frac{2.327\sqrt{0.37*0.63}}{0.035}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.327\sqrt{0.37*0.63}}{0.035})^2[/tex]

[tex]n = 1030.4[/tex]

Rounding up:

A sample size of 1031 is required.

Answer:

299

Step-by-step explanation:

23x13 = 299

Answer:

D. They have the same slope, and the same y-intercept so they have infinitely many solutions.

Step-by-step explanation:

Graphing these lines shows that both lines are the exact same line, and cannot have a point of intersection. Solving the equations shows you a value that is ultimately always correct; such as 0=0. This can be used as proof that "They have the same slope, and the same y-intercept so they have infinitely many solutions" because either equation can be rearranged to equal the other.

If x = 3 cm and z = 5 cm, what is the length of y? A. 3 cm B. 0.5 cm C. 4 cm D. 5 cm

ans.C.4cm

Answer:

x=20°

Step-by-step explanation:

x° + 100° + 3x° = 180° => 4x°+100°=180° => 4x=180°-100°=80° => x=80° : 4 = 20° => x=20°

The value of angle x will be equal to 20°.

If two angles sum up to 180 degrees, they are referred to as supplementary angles. A straight angle is created by supplementary angles (180 degrees)

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

Given that the three angles are x, 3x, and 100 degrees. The value of the angle x will be calculated as below:-

For supplementary angles, the sum of the angles is 180 degrees.

x° + 100° + 3x° = 180°

4x°+100°=180°

4x=180°-100°=80°

x=80° : 4  

x=20°

Therefore, the value of angle x will be equal to 20°.

To know more about supplementary angles follow

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Answer:

The bag contains $5.14

Step-by-step explanation:

18% of 50 = (.18)(50) = 9 pennies

40% of 50 = (.40)(50) = 20 dimes

2 more nickels than pennies = 9 + 2 = 11 nickels

40 coins so far, so 50 - 40 = 10 quarters

Total value:

9 x ($0.01) = $0.09  for pennies

20 x ($0.10) = $2.00 for dimes

11 x ($0.05) = $0.55 for nickels

10 x ($0.25) = $2.50 for quarters

Grand total value = $5.14

Answer:

quadratic

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Edgeunity 2021

I'm pretty sure, I just estmated the answer to 13 which was the closest.

The measure of m<3 is 105 degrees

Using the law that states that the sum of an interior angle of a rectangle is equal to the exterior.

From the given diagram;

m<X + m<Y = m<3

Given that m<X= 55 degrees and m<Y = 50 degrees

m<3 = 55 + 50

m<3 = 105 degrees

Hence the measure of m<3 is 105 degrees

Learn more here: https://brainly.com/question/24193697

Answer:

3 2/15 or approximately 3.13

Step-by-step explanation:

4 1/3 - 1 1/5

=13/3 - 6/5

= 47/15

=3 2/15 or approximately 3.13

Answer:

c

Step-by-step explanation:

Answer:

x= 2, y= 1

Step-by-step explanation:

took one for the team<3

9514 1404 393

Answer:

  f(0) = -11

Step-by-step explanation:

The function f(x) is found by integrating its derivative. The constant of integration is found from the given point.

  [tex]\displaystyle f(x)=\int{f'(x)}\,dx=\int{(2x+17)}\,dx=x^2+17x+c\\\\f(1)=7=1^2+17\cdot1+c\quad\rightarrow\quad c=-11\\\\f(0)=0^2+17\cdot0-11\\\\\boxed{f(0)=-11}[/tex]

Answer:

   $ 1 , 150

Step-by-step explanation:

Answer: 5+81.65≈85  

How to: Estimate.

Have a great day and stay safe !

Answer:  x = 6/4

Step-by-step explanation:  

4x + 2 = 8

4x = 6

x = 6/4 or 1 1/2

Hope this helped :)

Answer:

x = 1.5, 1 1/2

Step-by-step explanation:

4x + 2 = 8

4x = 6

4x/4 = 6/4

x = 1.5

1.5 = 1 1/2

Have a nice day! :-)

Answer:

Option B. m(n) = –5.75 –¼n

Step-by-step explanation:

The sequence is given below:

–6, –25/4, –13/2, –27/4, –7

Next, we shall determine the common difference.

Common difference (d) = 2nd – First

2nd term = –25/4

First term = –6

d = –25/4 – – 6

d = –25/4 + 6

d = –6.25 + 6

d = –0.25 = –¼

Finally, we shall determine the nth term

Tₙ = a + (n –1)d

First term (a) = –6

Common difference (d) = –¼

Tₙ = a + (n –1)d

Tₙ = –6 + (n –1)–¼

Tₙ = –6 –¼n + ¼

Tₙ = –6 + ¼ –¼n

Tₙ = –6 + 0.25 –¼n

Tₙ = –5.75 –¼n

Thus, the nth term is given by:

m(n) = –5.75 –¼n

Answer:

10%

Step-by-step explanation:

if he has 60 boxes then it would be 60/600

simplify that to 6/60 which further simplifies to 1/10 which is 10%

Answer:

600-100%

60-10%

Odp-Wynosi 10%                                                                                             tep-by-step explanationu  Pozdrawami

20×36= 720

5×15= 75

75+720= 795

the correct answer is 795 ><

Answer:

2.5 I think

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 49/50

Step-by-step explanation:

81 + 17 + 2 = 10

98/100 = 49/50

The probability as a fraction in simplest form is 49/50.

Answer:

[tex]m=46^{\circ},\\n=22^{\circ}[/tex]

Step-by-step explanation:

From the isosceles-base theorem, the base angles of two equal legs in a triangle must be equal. Thus, we can set the up the following equation to solve for [tex]n[/tex]:

[tex]136+n+n=180,\\136+2n=180,\\2n=44,\\n=\boxed{22^{\circ}}[/tex]

Now that we've found [tex]n[/tex], we can set up the following equation with respect to the largest triangle:

[tex]90+n+m+n=180,\\90+22+m+22=180,\\134+m=180,\\m=\boxed{46^{\circ}}[/tex]

Answer:

M = 46°

N = 22°

Step-by-step explanation:

Value of M:

Sum of angles in triangle = 180°

180° - 90° - (180° - 136°) = m

90° - 44° = m

m = 46°

Value of N:

The triangle is isosceles (marked by the two congruent lines with the tick)

That means that the other two angles, are the same

180° - 136° = 2n

44° = 2n

n = 22°

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

19is the answer I think so please check it iam sorry

x = √144 + 49

x = √193

.........................

Answer: Yes, it is a right triangle

Step-by-step explanation:

Use the pythagorean theorem in order to determine whether this triangle is a right triangle. Plug in the values given in the problem (4, 7.5, and 8.5) into this equation (a^2+b^2=c^2). This gives you 4^2+7.5^2=8.5^2, and this equation is valid because 4^2+7.5^2 does equal 8.5^2.

Answer:

Yes, because 4^2+7.5^2=8.5^2.

Step-by-step explanation:

Slay just did this on my test good luck

Answer: a is correct

Step-by-step explanation:

At 25 years

Step-by-step explanation:

123,000 x 2.375% = 2,921.25.  This gives you the rate that the population is decreasing.  How long will it take to get to 50,000. Do reverse operations to find this answer: 123,000 - 50,000 = 73,000,  the population need to decrease by 73,000 to get to 50,000.  So let's multiply our rate of 2,921.25 x 25 = 73,031  and our final step..  123,000 - 73,031 = 49,969 below 50,000

Answer:

Step-by-step explanation: