A. (0.714, 0.826)
Step-by-step explanation:
Given that:
The sample size n = 150
The number of success(sample proportion) x = 115
The population proportion [tex]\hat p[/tex] = [tex]\dfrac{x}{n}[/tex]
The population proportion [tex]\hat p[/tex] = [tex]\dfrac{115}{150}[/tex]
The population proportion [tex]\hat p[/tex] = 0.767
At 90% confidence interval level;
[tex]Z_{\alpha /2} = Z_{0.05} = 1.645[/tex]
Thus, the confidence interval estimate for the true population proportion can be computed by using the formula:
[tex]=\hat p \ \pm \ z_{\alpha /2} \sqrt{\dfrac{\hat p(1- \hat p)}{n} }[/tex]
[tex]= 0.767 \ \pm 1.645 * \sqrt{\dfrac{0.767(1- 0.767)}{150} }[/tex]
[tex]= 0.767 \ \pm 1.645 * \sqrt{\dfrac{0.767(0.233)}{150} }[/tex]
[tex]= 0.767 \ \pm 1.645 * \sqrt{\dfrac{0.178711}{150} }[/tex]
[tex]= 0.767 \ \pm 1.645 * \sqrt{.0011914}[/tex]
[tex]= 0.767 \ \pm 1.645 * 0.03452[/tex]
[tex]= 0.767 \ \pm 0.0568[/tex]
= (0.767 - 0.0568, 0.767 + 0.0568)
= (0.7102 , 0.8238 )
Due to approximation; the confidence interval estimate for the true population proportion is [tex]\simeq[/tex] (0.714, 0.826)
help me please i will choose brainlest idk how to spell
What is the value of the expression when a = 4, b = 3 , and c = 10?
3a4b−c
A. 1
B. 4
C.6
D.12
Answer:
C.6
Step-by-step explanation:
12-10=2, 12/2=6
,,,,,,,
You, yes you help me pls✨
URGENT HELP! Will give Most BRAINLIEST!
Answer:
See Below.
Step-by-step explanation:
We know that r and s are parallel. This means that p and q are transversals.
We also know that ∠1 and ∠4 are supplementary.
And we want to prove that p is parallel to q.
Statements: Reasons:
1) [tex]\bf{r\parallel s[/tex] Given
2) [tex]\angle 1 \text{ and }\angle 4\text{ are supplementary}[/tex] Given
3) [tex]\angle 1\text{ and } \angle 5 \text{ are supplementary}[/tex] Consecutive (Interior) Angles Theorem
4) [tex]\bf{\angle 5\cong \angle 4}[/tex] Congruent Supplements Theorem
5) [tex]p\parallel q[/tex] Corresponding Angles Theorem Converse
And we are done!
Which is another way to make 2,800?
Answer:
2800-0
Step-by-step explanation:
yes like seriously tho if u didn't put that then u got urself an answer
Answer:
11,200 ÷ 4 = 2,80050 ⋅ 56 = 2,8002,346 + 454 = 2,8004,639 - 1,839 = 2,800Step-by-step explanation:
There are lots of ways
to make 2,800. In this case,
I made each example a different sign,
making an example for each sign will be better than just addition or just any other sign.
Hope this helps! <3
Find two other pairs of polar coordinates of the given polar coordinate, one with r > 0 and one with r < 0. Then plot the point. (2, -3)
Answer:
X = 2
Y = -3
Step-by-step explanation:
Go on the Y axis and count up to 2Then go to the X axis and count down -3 / 0.3Now you have 2, -3
.
1. Steve runs 8 kilometers in 2 hours. He runs for another hour. How many
kilometers can Steve run in that time, if he maintains his pace?
Can you please help me
Answer:
x = 75° and y = 105°
Step-by-step explanation:
In the given figure
There are two parallel lines intersected by another line which called a transversalThere are two corresponding angles formed from this situation∵ The angle of measure (180 - x) and the angle of measure y are
corresponding angles
∵ Corresponding angles are equal in measures
→ Equate their measures
∴ 180 - x = y ⇒ (1)
The down line and the transversal formed a pair of linear angles at the point of intersection∵ The angle of measure y and the angle of measure 75° are linear angles
∵ The sum of the measures of the linear angles is 180°
→ Add their measures and equate the sum by 180°
∴ y + 75 = 180
→ Subtract 75 from both sides to find y
∵ y + 75 - 75 = 180 - 75
∴ y = 105°
→ Substitute the value of y in (1)
∵ 180 - x = 105
→ Subtract 180 from both sides
∵ 180 - 180 - x = 105 - 180
∴ - x = - 75
∵ Divide both sides by -1 to find x
∴ x = 75°
What are the intercepts of this graph?
Answer:
x-int: (-250, 0) y-int: (100, 0)
Answer:
the y-intercept is ( 0,100) and the x- intercept is (-210,0)
correct me if i am wrong?
Step-by-step explanation:
The length of a rectangle is 4 more than twice the width. If this rectangle’s perimeter is 50,
what are its dimensions?
Answer:
width: 7 length: 18
Step-by-step explanation:
they tell us the length is 2 times the width plus 4 more so the equation for one of the lengths is
2x + 4, where 'x' is the value of one width. but, because there are two sides for each the length and the width, the final equation will be:
2(2x + 4) + 2(x) = 50
then simplify and solve for 'x'
Y +2 = 5/9(x-2)
What is this?
Answer:
It is algebra
Step-by-step explanation:
do you want the answer?
Pythagorean Theorem:a2 + b2 = c2
Re−write the formula solving for b2 .
Answer:
b^2=c^2-a^2
Step-by-step explanation:
Write an equation of a line with the given slope and y-intercept.
m = 4, b = -1
a. y = -x + 4
b. y = 4x + 1
C. y = -x - 1
d. y = 4x - 1
Please provide explanation :)
Answer:
D. y=4x-1
Step-by-step explanation:
y=mx+b (This is the slope intercept formula) The M(X) represents the slope and the B represents the y intercept.
y=4x-1
Answer:
d. y = 4x -1
Step-by-step explanation:
y = mx + b
m= 4
b= -1
y = (4)x + (-1)
y = 4x - 1
can i get brainliest please?
which angles are corresponding angles with angle 8?
Answer:
Angle4 and Angle12
Step-by-step explanation:
hope this helps if you need me to explain i will
PLEASE HURRY!!!!
MGSE6.NS.5: Mrs. Smith had the following transactions during the week:
What is the sum of all of the transactions for the week?
346 I think
Step-by-step explanation:
750-348=402
402-201=201
201+145=346
63 new houses were built, so far 6/7 of them have been sold. How many new houses were sold?
Answer:
54
Step-by-step explanation:
63x 6/7
Which equation of a line is parallel to the graph of y=5x-13 and passes through the point (2,-1)?
A) Y= -1/5x+8
B) y=5x -7
C) y=5x -11
D) y= -1/5x -6
Answer:
Idek but B and C are parallel
Step-by-step explanation:
Write the equation of the line:
(1,-7); slope =-1
Answer:
y=-1x-6
Step-by-step explanation:
the slope is -1
use y=mx+b
Plug the point into y=mx+b, -7=-1(1)+b
-7=-1+b
add 1 both sides the y- intercept is b=-6
plz help I will mark brainlest
Answer: 340$$$
Step-by-step explanation:
Basically you divide 680 by 2 cause 2 is half which is the same as 50% so its 340
a certain triangle has a 30 angle and a 60 angle which must be a true statement about the triangle
Answer:
the other side has an 90° angle , it must be an acute triangle
Step-by-step explanation:
a triangle has a total angle of 180°
So if one side has an angle of 60° and the other has an angle of 30°, the other side must be the substraction of both angles to the 180° sum
180° - 60° - 30° = 90°
Answer: The longest side is twice as long as the shortest side.
SHOW WORK: Evaluate f(-2) with f(x)=3x+1 *
Answer:
f(2) = 7
Step-by-step explanation:
Solve for f(-2) in f(x) = 3x + 1
x = -2
Plug in -2 for x in the equation:
f(2) = 3(2) + 1
Remember to follow PEMDAS. First, solve the multiplication, then add:
3 * 2 = 6
6 + 1 = 7
f(2) = 7 is your answer.
~
Step-by-step explanation:
[tex]{:}\longrightarrow[/tex][tex]\sf f (x)=3x+1 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf f (-2)=3 (-2)+1 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf f (-2)=-6+1 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf f (-2)=-5[/tex]
Do you know the sales tax is in your state? How could you find out?
Answer:
Well in my state, it's 6%. Use google to find out yours.
Step-by-step explanation:
Answer:
I know the sales tax is .16 here in Texas. I found out whenever me or my mom would go shopping. I would look at the tax at the bottom of the recipt or do the math. Find the sum of all the gorceries without tax and then subtract it by the total amount of money of the groceries with tax. Then divide that by the amount of groceries we bought.
Step-by-step explanation:
how to solve arithmetic means between 18 and -10
Answer:8
Step-by-step explanation:
b) work out 1 3/4 x 4 1/6
Answer:
7 7/24
Step-by-step explanation:
make it a mixed number and multiply then simplify
7/4 x 25/6
25 x 7=175
6 x 4=24
175/24
7 7/24
Look at the graph to help you complete the statement
Point D is located in quadrant _blank_
The coordinates of point A are _blank_
The coordinates of point _blank_
are both negative.
Answer:
B, D, C
Step-by-step explanation:
1 9/10 + 3/4 plz need help I’m tired and can’t do math I also need it simplified
Answer:
4
Step-by-step explanation:
take 1 9/10 change it to 19/10 + 3/4. You will need to have a common denominator for any addition or subtraction with fractions. We multiply 19/10 by 4 to get 76/40. Multiply 3/4 by 10 to get 30/40. Now we have a common denominator.
Add across 76 + 30 = 106/40. Now simplify. How many times does 40 go into 106?
4 times. No remainder.
Berenice has7/8 yard of fabric. it takes 2/5 yard to make pajama pants. How many pairs of pajama pants can she make?
The expression below was given on a recent math test
What is the value of the expression?
look at the screenshot
Answer:
24
Step-by-step explanation:
What is the sum of the polynomials?
(7x3 – 4x2) + (2x3 – 4x2)
5x3
9x3
5x3 – 8x2
9x3 – 8x2
Answer:
9x^3 - 8x^2
Step-by-step explanation:
hope this helps :)
Answer:
i thank is D
Step-by-step explanation:
Select the correct answer for how you would rationalize the denominator for 1/√3?
You would multiply top and bottom by [tex]\sqrt{3}[/tex] to go from [tex]\frac{1}{\sqrt{3}}[/tex] to [tex]\frac{\sqrt{3}}{3}[/tex]
Multiplying a square root by itself is the same as squaring the value.
So, [tex]\sqrt{x}*\sqrt{x} = (\sqrt{x})^2 = x, \ \ \text{ when } x \ge 0[/tex]
Which is why we're able to get rid of the square root in the denominator. The square root and squaring operation effectively cancel each other out.
