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3 years ago

I need the answer and explanation pls

Mathematics

1 answer:

ra1l [238]3 years ago

7 0

Step-by-step explanation:

Vertical Angles:A pair of opposite angles made by two intersecting lines. ( This would make both angle measures equal)

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What is the value of x? sin49° = cosx Enter your answer in the box. x = ? °

Anni [7]

Answer:

$x = 41^{\circ}$

Step-by-step explanation:

$\sin(49^{\circ}) = \cos(90^\circ -49^\circ) = \cos (41^\circ)$

3 0

3 years ago

It's believed that as many as 23% of adults over 50 never graduated from high school. We wish to see if this percentage is the

laila [671]

Answer: 756

Step-by-step explanation:

Given : The proportion of adults over 50 never graduated from high school. = 0.23

Margin of error : E=0.03

Significance level : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}=1.96$

The formula to find the sample size is given by:_

$n=p(1-p)(\dfrac{z_{\alpha/2}\ }{E})^2$

i.e. $n=(0.23)(0.77)(\dfrac{(1.96)}{0.03})^2=755.941511111approx756$

Hence, the required minimum sample size = 756

4 0

4 years ago

Find the solution to the equations. Will Mark Brainliest

vova2212 [387]

Answer:

(- 1, 1 )

Step-by-step explanation:

Given the 2 equations

2x - y = - 3 → (1)

x + y = 0 → (2)

Adding the 2 equations term by term will eliminate the term in y, that is

3x = - 3 ( divide both sides by 3 )

x = - 1

Substitute x = - 1 into either of the 2 equations and solve for y

Substituting into (2)

- 1 + y = 0 ( add 1 to both sides )

y = 1

Solution is (- 1, 1 )

7 0

3 years ago

Read 2 more answers

In a certain region, about 6% of a city's population moves to the surrounding suburbs each year, and about 4% of the suburban po

Sedbober [7]

Answer:

City @ 2017 = 8,920,800

Suburbs @ 2017 = 1, 897, 200

Step-by-step explanation:

Solution:

- Let p_c be the population in the city ( in a given year ) and p_s is the population in the suburbs ( in a given year ) . The first sentence tell us that populations p_c' and p_s' for next year would be:

0.94*p_c + 0.04*p_s = p_c'

0.06*p_c + 0.96*p_s = p_s'

- Assuming 6% moved while remaining 94% remained settled at the time of migrations.

- The matrix representation is as follows:

$\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] \left[\begin{array}{c}p_c\\p_s\end{array}\right] = \left[\begin{array}{c}p_c'\\p_s'\end{array}\right]$

- In the sequence for where x_k denotes population of kth year and x_k+1 denotes population of x_k+1 year. We have:

$\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] x_k = x_k_+_1$

- Let x_o be the populations defined given as 10,000,000 and 800,000 respectively for city and suburbs. We will have a population x_1 as a vector for year 2016 as follows:

$\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] x_o = x_1$

- To get the population in year 2017 we will multiply the migration matrix to the population vector x_1 in 2016 to obtain x_2.

$x_2 = \left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right]\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] x_o$

- Where,

$x_o = \left[\begin{array}{c}10,000,000\\800,000\end{array}\right]$

- The population in 2017 x_2 would be:

$x_2 = \left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right]\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] \left[\begin{array}{c}10,000,000\\800,000\end{array}\right] \\\\\\x_2 = \left[\begin{array}{c}8,920,800\\1,879,200\end{array}\right]$

5 0

4 years ago

B. Factor the polynomial 64x + 27y. If the polynomial cannot be factored, write prime.

Aleks04 [339]

Prime it can’t be factored

4 0

3 years ago