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3 years ago

I am confused on these 2

Mathematics

1 answer:

Ugo [173]3 years ago

6 0

Answer:

1) x=20 degrees

2) x=25 degrees

Step-by-step explanation:

1) there is 9x if you add all of the angles together and there is 180 degrees in a triangle so 180 divided by 9 equals 20 degrees.

2)there is 7x and 5 dgress in total so we can make an equation:

7x+5=180

7x=175

x=25

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The latest poll from ESPN asked fans what their favorite sport was, considering pro, college and highschool levels. Out of 1000

shepuryov [24]

Answer:

Confidence interval is $0.2911$

Step-by-step explanation:

Given that 32% of fans sport is basketball as favorite sport. So total number of fans is,

$32\%\times 1000$

$= \dfrac{32}{100}\times 1000$

$=320$

So 320 fans favorite sport is basket ball.

Now find sample proportion ,

$\widehat{p}=\dfrac{number\:of\:people\:in\:the\:sample}{total\:number\:of\:people}$

Substituting the value,

$\widehat{p}=\dfrac{320}{1000}$

$\widehat{p}=0.320$

Formula for confidence interval is,

$CI=\widehat{p}\pm z\sqrt{\dfrac{\widehat{p}\left (1-\widehat{p}\right )}{n}}$

To calculate the z value.

$Confidence Level=1-\alpha$

$0.95=1-\alpha$

$0.05=\alpha$

Now divide above value by 2,

$\dfrac{0.05}{2}=\dfrac{\alpha}{2}$

$0.025=\dfrac{\alpha}{2}$

To find the value of z score calculate the area under the curve as follows

$A=\dfrac{1+CL}{2}$

$A=\dfrac{1+0.95}{2}$

$A=\dfrac{1.95}{2}$

$A=0.975$

On z table, find the value of 0.975. So the row corresponding to 0.975 is 1.9 and column corresponding to 0.975 is 0.06. Adding these two values the z score is 1.96.

or find the value from excel by using command as follows,

=NORM.S.INV(0.025)= -1.959963985

Now substituting the value,

$CI=0.320\pm 1.96\sqrt{\dfrac{0.320\left (1-0.320\right )}{1000}}$

$CI=0.320\pm 0.02891$

Lower end of the interval is,

$CI=0.320- 0.02891$

$CI=0.2911$

Upper end of the interval is,

$CI=0.320+ 0.02891$

$CI=0.3489$

Therefore 95% confidence interval is $0.2911$

7 0

3 years ago

Please help. asap. will mark brainliest

Dahasolnce [82]

Answer:

option 1 and option 2 should be correct

5 0

3 years ago

What is the relative maximum and minimum of the function?

nevsk [136]

Take the derivitive
f'(x)=3x^2+12x
find where it equals zero
it equal zero at x=0 and x=-4
find the y values
f(0)=-36
f(-4)=-4
the critical points are (0,-36) and (-4,-4)

make sign chart
evalutat f'(x) at x=-5 and x=-1 and x=1, and see their signs
f'(-5)=(+)
f'(-1)=(-)
f'(1)=(+)
see below attachment

max is where sign changes from (+) to (-)
min is where sign changes from (-) to (+)

so
max at (-4,-4)
min at (0,-36)
none of the options are correct, do you have te right problem?

8 0

3 years ago

A trail mix recipe calls for 2/3 cup almonds and 5/8 cup raisins. blake tripled the almonds and doubled the raisins how many cup

qwelly [4]

2/3(3) = 6/3 = 2 cups almonds
5/8(2) = 10/8 = 1 1/4 cups raisins

6 0

3 years ago

Please help me on this. <3

V125BC [204]

Answer:

Step-by-step explanation:

25.2/2.1

1. Make it so that the outside number isn't a decimal

2. divide 252/21

3. 21 goes in 12 times

4. so 25.2/2.1 has to equal 12

hope this helps :D

3 0

3 years ago

Read 2 more answers

I am confused on these 2​

I am confused on these 2