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2 years ago

Given the figure above, determine

Mathematics

2 answers:

PolarNik [594]2 years ago

8 0

Answer:
Angle C = 55°
Do you want an explanation

Reptile [31]2 years ago

3 0

Answer:

∠ C = 55°

Step-by-step explanation:

∠ W and ∠ A are adjacent angles and are supplementary, then

∠ A = 180° - ∠ W = 180° - 134° = 46°

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 angles from 180 for ∠ C

∠ C = 180° - (46 + 79)° = 180° - 125° = 55°

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A simple random sample with n = 58 provided a sample mean of 24.5 and a sample standard deviation of 4.4. (Round your answers to

nasty-shy [4]

Answer: (23.53, 25.47)

Step-by-step explanation:

The confidence interval for population mean(when population standard deviation is unknown) is given by :-

$\overline{x} \pm\ t^*\dfrac{s}{\sqrt{n}}$

, where $\overline{x}$ = sample mean

n = sample size.

s = sample standard deviation.

t* = Critical value.

Given : $\overline{x}=24.5$

s= 4.4

Confidence level = 90% =0.090

Significance level = $\alpha=1-0.90=0.10$

Sample size : n= 58

Degree of freedom : df= n-1= 57

Using t-distribution table , the critical value :

$t_{\alpha/2,\ df}= t_{0.05,\ 57}=1.6720$

Then, the confidence interval will be :-

$24.5 \pm\ (1.6720)\dfrac{4.4}{\sqrt{58}}$

$24.5 \pm\ (1.6720)\dfrac{4.4}{7.61577310586}$

$24.5 \pm\ 0.965995165263\approx24.5\pm0.97\\\\=(24.5-0.97,\ 24.5+0.97)\\\\=(23.53,\ 25.47)$

Hence, a 90% confidence interval for the population mean = (23.53, 25.47)

6 0

2 years ago

The growth of a population is modeled by N (t) = 6(1.05). For what value of t will N (t) = 12?

stiks02 [169]

Answer:

0.72% per month

Step-by-step explanation:

I looked it up!

4 0

2 years ago

Which card has the solution x = 23?

morpeh [17]

I need a photo but ill give you some information this will be with exponents.

Write down the problem. Here it is:

2^2(x+3) + 9 - 5 = 32

Resolve the exponent. Remember the order of operations: PEMDAS, which stands for Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction. You can't resolve the parentheses first because x is in the parentheses, so you should start with the exponent, 2^2.2^2 = 4

4(x+3) + 9 - 5 = 32

Do the multiplication. Just distribute the 4 into (x +3). Here's how:

4x + 12 + 9 - 5 = 32

Do the addition and subtraction. Just add or subtract the remaining numbers. Here's how:

4x+21-5 = 32

4x+16 = 32

4x + 16 - 16 = 32 - 16

4x = 16

Isolate the variable. To do this, just divide both sides of the equation by 4 to find x. 4x/4 = x and 16/4 = 4, so x = 4.

4x/4 = 16/4

x = 4

Check your work. Just plug x = 4 back into the original equation to make sure that it checks out. Here's how:

2^2(x+3)+ 9 - 5 = 32

2^2(4+3)+ 9 - 5 = 32

2^2(7) + 9 - 5 = 32

4(7) + 9 - 5 = 32

28 + 9 - 5 = 32

37 - 5 = 32

32 = 32

Credit to wikiHow.com

7 0

2 years ago

Given directed line segment AB determine point X on the graph such that X partions the segment A to B in a ratio of 1:4 and give

Viktor [21]

Answer:

The coordinates of point X that divides the line in 1:4 are: (3,8/5)

Step-by-step explanation:

When a point divides a line with coordinates (x1,y1) and (x2,y2) in ratio m:n,

the coordinates of point are given by:

$(x,y) = (\frac{mx_2+nx_1}{m+n} , \frac{my_2+ny_1}{m+n})$

Given points are:

(x1,y1) = (5,1)

(x2,y2) = (-5,4)

Putting the values in the formula

$X(x,y) = (\frac{(1)(-5)+(4)(5)}{1+4} , \frac{(1)(4)+(4)(1)}{1+4})\\= (\frac{-5+20}{5}, \frac{4+4}{5})\\=(\frac{15}{5}, \frac{8}{5})\\=(3,\frac{8}{5})$

Hence,

The coordinates of point X that divides the line in 1:4 are: (3,8/5)

8 0

2 years ago

Rewrite the subtraction problem then find the difference 35-19

Stella [2.4K]

35-19 equals 16
16 is the answer

7 0

2 years ago

Read 2 more answers

Given the figure above, determine​

Given the figure above, determine