Answer:
a. (0.313,0.447)
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Researchers investigating a new drug selected a random sample of 200 people who are taking the drug. Of those selected, 76 indicated they were experiencing side effects from the drug.
This means that [tex]n = 200, \pi = \frac{76}{200} = 0.38[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.38 - 1.96\sqrt{\frac{0.38*0.62}{200}} = 0.313[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.38 + 1.96\sqrt{\frac{0.38*0.62}{200}} = 0.447[/tex]
The correct answer is given by option A.
Please help me this is important to my grade
Answer:
C. x = 6
Step-by-step explanation:
2*6 + 4 = 16
Translations, rotations, and reflections are rigid transformations. What can you conclude about the measures of sides and angles on any triangle after undergoing a series of rigid transformations? Explain.
Answer:
After a translation, the measures of the sides and angles on any triangle would be the same since translation only involves changing the coordinates of the vertices of the triangle.
After a rotation, the measures of the sides and angles of a triangle would also be the same. Similar to translation, the proportion of the triangle is unchanged after a rotation.
After a reflection, the triangle's sides and angles would still be the same since reflection is a rigid transformation and the proportion of the sides and angles are not changed.
Step-by-step explanation:
Rigid transformations, i.e. translations, rotations, and reflections, preserve the side lengths and angles of any figure. Therefore, after undergoing a series of rigid transformations, the side lengths and angle measures of any triangle will be the same as the original triangle, generally speaking, in another position.
Answer:
They are all congruent or equal. The angles and side lengths are preserved through the rigid transformations.
Step-by-step explanation:
That’s what i put
Would you eat more calories having a package of M&Ms or TWO servings of Twizzlers.
Answer:
As per the USDA's M&M's nutrition facts, a single candy contains 3.4 calories, while one package provides 236 calories, 2 grams of protein and more than 30 grams of sugar.
There are 160 calories in 4 sticks (45 g) of Twizzlers Twizzlers
you would eat more calories with M&M's g
Luisa’s bank offers a 13% simple interest rate on investment accounts. How much money would Luisa haved in her account if she invests $2,000 for 4 years?
i apriciate any help, thank you!
Answer:c
Step-by-step explanation:
Find the lateral area and the surface area of the composite solid. Keep answer in exact form.
10 cm
12 cm
1
1
1
1
32 cm
10 cm
Lateral Area
Surface Area
Answer:
a) Lateral area of the solid = 2011.43 [tex]cm^{2}[/tex]
b) Surface area of the solid = 2544 [tex]cm^{2}[/tex]
Step-by-step explanation:
a) Lateral area of the figure = 2[tex]\pi[/tex]rh
where; r is the radius of the cylinder, and h is its height.
Lateral area of the figure = 2 x [tex]\frac{22}{7}[/tex] x 10 x 32
= 2011.43 [tex]cm^{2}[/tex]
b) The surface area = 2[tex]\pi[/tex]r(r + h) - 2([tex]\frac{1}{2}[/tex] x b x h)
= 2[tex]\pi[/tex]r(r + h) - (b x h)
The height of the isosceles triangle can be determined by applying the Pythagoras theorem to have,
[tex]10^{2}[/tex] = [tex]6^{2}[/tex] + [tex]h^{2}[/tex]
100 = 36 + [tex]h^{2}[/tex]
[tex]h^{2}[/tex] = 100 - 36
= 64
h = [tex]\sqrt{64}[/tex]
= 8
h = 8 cm
The surface area of the solid = 2 x [tex]\frac{22}{7}[/tex] x 10 (10 + 32) - 12 x 8
= 2640 - 96
= 2544
The surface area of the solid is 2544 [tex]cm^{2}[/tex].
Ryan has homework in six subjects. He is deciding what order to complete them in
the product of a number and 5 is increased by 12 the result is 32 find the number
Answer:
4
Step-by-step explanation:
First, to get just the multiplication equation, we need to do,
32-12 = 20
20/5 = 4
The number is 4.
Now let's check our work.
4x5+12=32
The answer is 4.
The required number is 4.
Let the number be x.
Given, the product of x and 5 increased by 12 gives 32.
So in equation form,
[tex]5x+12=32\\[/tex]
Subtracting 12 from both the sides,
[tex]5x+12-12=32-12[/tex]
[tex]5x=20\\\\[/tex]
[tex]x=\dfrac{20}{5}[/tex]
Or, [tex]x=4[/tex]
Hence the required number is 4.
For more details follow the link:
https://brainly.com/question/10439298
Identify the following fractions as either proper or improper. 8. 14⁄ 15
Answer:
proper I believe if I'm wrong sorry
PLEASE ANSWER ASAP FOR BRAINESLT!!!!!!!!
Mrs. Lee randomly surveyed 25 of her 125 students about their pets. Her survey indicate that 14 students have a dog, 7 students have a cat, 2 students have another kind of pet, and 8 students have no pet. (Note that some students have more than one pet). What is Mrs. Lee's best estimate of the total number of her students who have a dog?
A. 70
B. 35
C. 10
D. 40
Answer: Hello! When I tried solving the problem and I got the answer of 70.
Step-by-step explanation:
So, 14 out of the 25 kids have a dog. If you were to have 125 kids which if 5 times the first 25 kids it would be 14 x 5 which is 70.
Please help will give brainlyist
h(-3), h(5), h(2), h(0)
h(x) = {x+1, x<2
{2x-1, x>2
Solve these:
h(-3) =
h(5) =
h(2) =
h(0) =
Answer:
h(-3) = -3h
h(5) = 5h
h(2) = 2h
h(0) = 0
Who’s can help me with this, it is to hard
Answer:
x = 10
MB = 16
CM = 16
CB = 32
Step-by-step explanation:
Since it's the mispoint
2x - 4 = x + 6
Subtract x from both sides
x - 4 = 6
Add 4 to both sides
x = 10
MB = 2x - 4
MB = 20 - 4
MB = 16
CM = x + 6
CM = 16
CB = 16 + 16
CB = 32
properties of parallelograms
PLEASE HELP
Answer:
m∠Q = 109°
m∠QRT = 109°
x = 4
Step-by-step explanation:
1). "Opposite angles of a parallelogram are equal"
By this property,
m∠Q = m∠S = 109°
2). "Opposite sides of a parallelogram are parallel and equal in measure"
By this property,
RQ║ST and diagonal RT is a transversal line.
m∠QRT = ∠SRT = 30° [Alternate interior angles]
3). "Opposite sides of a parallelogram are parallel and equal in measure"
RS = QT
2x = 8
x = 4
If the zeros of a parabola are at x = 4 and x = -2 what could be the equation of the parabola?
Answer:
the equation would be: y=(x-4)(x+2)
The function f is defined by the following rule
f(x)=3x-3
Complete the function table
x f(x)
-5
-1
1
2
4
Answer:-18
-6
0
3
9
Step-by-step explanation:
(-2)(-2)(-2)(-2) in exponential form
Answer:
[tex] (-2)^{4} [/tex]
Step-by-step explanation:
(-2)(-2)(-2)(-2)
The base is -2.
There are 4 factors of -2, so the exponent is 4.
[tex] (-2)(-2)(-2)(-2) = (-2)^{4} [/tex]
Jill Kingman pays a $419.00 premium annually. This represents 35% of the total premium. The rest of the premium is paid by her employer.
Use a thousands comma where applicable.
1. the company's percentage
%
2. the total premium $
3. the company's payment $
Answer:
I think the answer is 1,466.50
I need help to find the value of X?
9514 1404 393
Answer:
x = 60
Step-by-step explanation:
The angle x is half the sum of the intercepted arcs:
x = (40 +80)/2
x = 60
Solve the inequality
x/2 > 1.52
Answer:
x> 3.04
Step-by-step explanation:
See The Image below:)
The equation f = v + at represents the final velocity of an object, f, with an initial velocity, v, and an acceleration -
a, over time, t. Which is an equivalent equation solved for a?
Ofv=a
10-v=a
O a
(+v=a
o {+v=a
Answer:
A
Step-by-step explanation:
f = v + at
f - v = at
(f-v)/t = a
Answer:
(f - v) / t = a
Step-by-step explanation:
Solving for the equation for a means taking all integers or values on the other side of the equation for a
To do this we must do it mathematically.
f = v + at
f - v = at
(f - v) / t = a
what is a decimal in mathematics
Answer:
a decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. The dot in a decimal number is called a decimal point. The digits following the decimal point show a value smaller than one.
Step-by-step explanation:
A new car is purchased and a $30,000 loan is taken. The loan is for 7 years (84 months) and
the interest rate is 2.9% compounded monthly. What is the monthly payment?
Answer
around $250 per month
Step-by-step explanation:
Which numbers line correctly shows 4.5 - 2.5.? HELP FAST!!!
Answer:
Step-by-step explanation:
The answer would be the first option because it’s starting at 4.5, and if you subtracted 2.5, you would get the answer of 2, and that’s what the first option shows. Hope this helps!
what is 2/5 times 30 equal in simplets form
Answer:
2/5 times 30 equals 12.
Answer:Step-by-step explanation:
Convert. 2/3and 4/6 into like fraction
Answer:
Answer given below
Step-by-step explanation:
When we calculate the LCM, you get it as 6.
So both the fractions should have a denominator 6.
For that, in 2/3 we should multiply both numerator and denominator with 2 so that denominator becomes 6.
When we convert to like fraction, 2/3 becomes 4/6.
Now both the fractions have common denominator
Hope it helps.
equation 3x + 2y = 2 name solution as ordered pair
Answer:
(0,1) (1,-1/2), (2,-2)
Step-by-step explanation:
There are 67 rabbits in the garden. Round 67 to the nearest 10.
Answer:
70
Step-by-step explanation:
1-4 rounds down
5-9 rounds up
The segment below is dilated by a scale factor of 5 to form N'O'. What is the
measure of N'O'?
Answer:
N'O' = 25
Step-by-step explanation:
N'O' = 5 × NO = 5 × 5 = 25
For the given configuration, determine how many different licence plates are possible of (a) digits and letters can be repeated, and (b) digits and letters cannot be repeated. NO LINKS!!
9514 1404 393
Answer:
5a,b = 17,576,000; 11,232,000
6. 45,697,600; 32,292,000
7. 6,760,000; 3,276,000
8. 118,813,760; 78,936,000
Step-by-step explanation:
The number of possible ways the characters can occur is the product of the numbers of ways a character can be selected in each position. If letters or digits cannot repeat, the number of possible selections is reduced by 1 in each new location.
5a. 26×26×26×10×10×10 = 26³×10³ = 17,576,000
5b. 26×25×24×10×9×8 = 11,232,000
__
6a. 10²×26⁴ = 45,697,600
6b. 10×9×26×25×24×23 = 32,292,000
__
7a. 10⁴×26² = 6,760,000
7b. 10×9×8×7×26×25 = 3,276,000
__
8a. 26⁵×10 = 118,813,760
8b. 26×25×24×23×22×10 = 78,936,000
Please solve this for me. I will mark you branliest if you gave me the best explanation to your answer.
For every $6 spent at a shop, the owner will donate $2 to charity. The
total amount of money donated to the charity was $56. What is the
least possible amount of money that was spent at the shop?
Answer:
$168
Step-by-step explanation:
Divide $56 by $2
$56 ÷ $2 = 28
Thus $2 was donated 28 times
He donated $2 every time $6 was spent, then
money spent = 28 × $6 = $168
Answer:
$168
Step-by-step explanation:
We have the following ratio
Spent at shop : donated to charity
6:2
we know that
x:56
To solve this we just mulitply 6 by 28 (28 because this is what we mulitplied the two in our original ratio to reach 56)
6*28=168