Eight times the result of subtracting 3 from a number is equal to the number increased by 25. What is the number?

In a poll, 37% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicte

Nimfa-mama [501]

Answer:

2239

Step-by-step explanation:

Given-

Percent of peopl polling yes to the question "Are you in favor of the death penalty for a person convicted of murder?" $= 37$ %

Margin error in the poll $= 2$ %

Confidence Interval $= 95$ %

The alpha value is $1 -0.95 =0.05$

The $z_\frac{\alpha }{2}$ for Confidence Interval of $95$ % $= 0.196$

The sample size is given by

$n = p*q*(\frac{z}{e} )^2$

Where,

$p = \frac{37}{100} = 0.37 q = 100-0.37 = 0.63 e =2/100 = 0.02 z = 1.96 (critical value)n = p*q*(\frac{z}{e} )^2 = 0.37 * 0.63(\frac{1.96}{0.02} )^2 \\n = 2238.69\\n= 2239$

5 0

3 years ago

∠3 and ∠4 are complementary angles.<br><br> m∠4=49°<br><br> What is the measure of ∠3 ?

tatyana61 [14]

Answer: complementary angles have 90 degrees therefore you have to do the following:

M<4 : 49

90-49=41

M<3=41

Step-by-step explanation:

8 0

3 years ago

How do I solve this?

Helga [31]

Look it up hope this helps

6 0

2 years ago

In 2000 the population of a country reached 1 billion, and in 2025 it is projected to be 1.2 billion. (a) Find values for C an

Mice21 [21]

Answer:

(a) The value of C is 1.

(b) In 2010, the population would be 1.07555 billions.

(c) In 2047, the population would be 1.4 billions.

Step-by-step explanation:

(a) Here, the given function that shows the population(in billions) of the country in year x,

$P(x)=Ca^{x-2000}$

So, the population in 2000,

$P(2000)=Ca^{2000-2000}$

$=Ca^{0}$

$=C$

According to the question,

$P(2000)=1$

$\implies C=1$

(b) Similarly,

The population in 2025,

$P(2025)=Ca^{2025-2000}$

$=Ca^{25}$

$=a^{25}$ (∵ C = 1)

Again according to the question,

$P(2025)=1.2$

$a^{25}=1.2$

Taking ln both sides,

$\ln a^{25}=\ln 1.2$

$25\ln a = \ln 1.2$

$\ln a = \frac{\ln 1.2}{25}\approx 0.00729$

$a=e^{0.00729}=1.00731$

Thus, the function that shows the population in year x,

$P(x)=(1.00731)^{x-2000}$ ...... (1)

The population in 2010,

$P(2010)=(1.00731)^{2010-2000}=(1.00731)^{10}=1.07555$

Hence, the population in 2010 would be 1.07555 billions.

(c) If population P(x) = 1.4 billion,

Then, from equation (1),

$1.4=(1.00731)^{x-2000}$

$\ln 1.4=(x-2000)\ln 1.00731$

$0.33647 = (x-2000)0.00728$

$0.33647 = 0.00728x-14.56682$

$0.33647 + 14.56682 = 0.00728x$

$14.90329 = 0.00728x$

$\implies x=\frac{14.90329}{0.00728}\approx 2047$

Therefore, the country's population might reach 1.4 billion in 2047.

3 0

3 years ago

Given congruent triangles name the corresponding sides and corresponding angles

Alborosie

Answer:

See explanation

Step-by-step explanation:

Given $\triangle ABC\cong \triangle ADC$

According to the order of the vertices,

side AB in triangle ABC (the first and the second vertices) is congruent to side AD in triangle ADC (the first and the second vertices);

side BC in triangle ABC (the second and the third vertices) is congruent to side DC in triangle ADC (the second and the third vertices);

side AC in triangle ABC (the first and the third vertices) is congruent to side AC in triangle ADC (the first and the third vertices);

angle BAC in triangle ABC is congruent to angle DAC in triangle ADC (the first vertex in each triangle is in the middle when naming the angles);

angle ABC in triangle ABC is congruent to angle ADC in triangle ADC (the second vertex in each triangle is in the middle when naming the angles);

angle BCA in triangle ABC is congruent to angle DCA in triangle ADC (the third vertex in each triangle is in the middle when naming the angles);

6 0

3 years ago