Answer:
A. Normal
B. Between 2.078 and 2.722 visits.
C. About 90 percent of these confidence intervals will contain the true population mean number of visits per week and about 10 percent will not contain the true population mean number of visits per week.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
Question A:
By the Central Limit Theorem, normal.
Question B:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.645\frac{2.9}{\sqrt{219}} = 0.322[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 2.4 - 0.322 = 2.078 visits
The upper end of the interval is the sample mean added to M. So it is 2.4 + 0.322 = 2.722 visits.
Between 2.078 and 2.722 visits.
Question c:
90% confidence level, so 90% will contain the true population mean, 100 - 90 = 10% wont.
About 90 percent of these confidence intervals will contain the true population mean number of visits per week and about 10 percent will not contain the true population mean number of visits per week.
number of bacteria in a certain population Increases according to a continuous exponential growth model with How many hours does it take the size of the sample to double ? growth rato parameter of 48% per hour
Answer:
It takes 1.77 hours for the population to double.
Step-by-step explanation:
Equation for population growth:
The equation for population growth, after t hours, with a growth rate parameter of r, as a decimal, is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
Growth rato parameter of 48% per hour
This means that [tex]r = 0.48[/tex]. So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P(t) = P(0)(1+0.48)^t[/tex]
[tex]P(t) = P(0)(1.48)^t[/tex]
How many hours does it take the size of the sample to double?
This is t for which P(t) = 2P(0). So
[tex]P(t) = P(0)(1.48)^t[/tex]
[tex]2P(0) = P(0)(1.48)^t[/tex]
[tex](1.48)^t = 2[/tex]
[tex]\log{(1.48)^t} = \log{2}[/tex]
[tex]t\log{1.48} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{\log{1.48}}[/tex]
[tex]t = 1.77[/tex]
It takes 1.77 hours for the population to double.
please help im stuck on this question
Answer:
(12,0)
Step-by-step explanation:
slope m=
[tex]\frac{54-36}{27-22} =\frac{18}{5}[/tex]
[tex]y-36=\frac{18}{5}(x-22)\\\\5y-180=18x-396\\\\y=\frac{18x}{5} -\frac{46}{5}[/tex]
[tex]0=\frac{10}{5}x-\frac{46}{5}\\\\x=\frac{216}{18} =12[/tex]
hope it helps...
have a great day
Find the circumference of the circle and round to the nearest tenth
Answer:
circumference of circle = 2×pi×r
circumference of circle = 2×3.14×12.7
circumference of circle = 79.756 in
20POINTS! Determine if two triangles are congruent. If they are, state which theorem you can use to prove congruency. EXPLAIN WHY OR ELSE I WILL REPORT.
Answer:
both each side of each triangle is equal
use alphabets to mark each edge of the triangles and prove congruency
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answer:
Slope
Step-by-step explanation:
Hope it helps you in your learning process
A quadrilateral is inscribed in a circle. Find the measure of each missing angle as labeled below. explain answer please
9514 1404 393
Answer:
C = 95°D = 72°F = 108°Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary. Inscribed angles are half the measure of the arc they subtend. (The latter statement can be used to prove the former one.)
Using these relations, we have ...
C = 180° -E = 180° -85° = 95°
D = 144°/2 = 72°
F = 180° -D = 180° -72° = 108°
Does anyone know what the answer please?
Answer:
[tex]\angle 1 \cong \angle 7[/tex]
Step-by-step explanation:
We proceed to present which angles corresponds with [tex]\angle 7[/tex], accompained with reason based on Theorems used in Euclidean Geometry. Two angles are correspondent if and only if are in the same side of the secant line, one of them is internal and the other one is external.
Hence, we conclude that [tex]\angle 1 \cong \angle 7[/tex].
Devon, Tony, and Nate were playing a board game. Devon wins when the spinner lands on green. Nate wins when the spinner lands on blue. Tony wins when the spinners lands on red. Which spinner should be used to make the game fair?
Answer:
c
Step-by-step explanation:
Weisen Sie bei folgenden Rechnungsbeträgen die Mehrwertsteuer aus!
a) 124,30 € b) 69,30 c) 12,50 €
Answer:
hj0
Step-by-step explanation:
what is the meaning of kiss
Answer:
wrong subject but, kiss means i guess to lock lips in a passionate way or in a greeting way. In some countries kissing someone on the cheek or past the cheek is a sign of a greeting i believe.
In short kissing means a way to show compassion or love.
Find each measurement indicated. Round your answers to the nearest tenth.
Answer:
52.08°
Step-by-step explanation:
Law of sine: [tex]\frac{93}{25}[/tex]=[tex]\frac{x}{14}[/tex]
93*14=25x
1302=25x
52.08=x
A coat cost $37.88 at Walmart. The sales tax is 5.5%. What is the total amount of the coat including the sales tax?
There are 10 red apples and 12 green apples in a basket. If Vinta randomly selects 3 apples from
the basket, what is the probability they will all be green apples?
Answer: 1/7
Step-by-step explanation: 12/22 • 11/21 • 10/20
The probability they will all be green apples is 0.142 if there are 10 red apples and 12 green apples in a basket.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
As we know,
A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
It is given that:
There are 10 red apples and 12 green apples in a basket. If Vinta randomly selects 3 apples from the basket.
Total outcomes = number of ways of selecting fruits in the basket
Total fruits = 10 + 12 = 22
Total number of outcomes = C(22, 3) = 1540
Total number of favourable outcomes = C(12, 3) = 220
Probability = 220/1540
Probability = 0.142
Thus, the probability they will all be green apples is 0.142 if there are 10 red apples and 12 green apples in a basket.
Learn more about the probability here:
brainly.com/question/11234923
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Jennifer made a baby blanket that is 2 feet by 3 feet. She has a queen size blanket that is 6 feet by 9 feet. How does the area of the baby's blank t compare to the size of the queen sized blanket?
The area of the queen sized blanket is 9 times bigger than the area baby blanket.
What is the area of a rectangle?
The area of a rectangle is the multiplication of it's length and breadth.
Here, the area of the baby blanket = 2 × 3 square feet = 6 square feet.
The area of the queen sized blanket = 6 × 9 square feet = 54 square feet.
Therefore, the ratio of the baby blanket : queen sized blanket
= 6 : 54
= 1 : 9
Hence, area of the queen sized blanket is 9 times bigger than the area baby blanket.
Lear more about the area of the rectangle here: https://brainly.com/question/24408520
#Tag #SPJ2
C = 172.7 cm
Use the formula, c = ad, and x = 3.14, to find the diameter of this circle whose circumference equals 172.7 cm.
A. 55 cm
B. 27.5 cm
O c. 542.278 cm
D. 5.5 cm
O E. 86.35 cm
Answer:
B
Step-by-step explanation:
In this diagram use pythagoras theorem to calculate the length of the marked side
Answer:
[tex] 5\sqrt{7} [/tex]
Step-by-step explanation:
using Pythagoras theorem
[tex]d = \sqrt{ {20}^{2} - {(15)}^{2} } \\ [/tex]
[tex]d = 5 \sqrt{7} [/tex]
Step-by-step explanation:
Hyponues²= Base²+Height ²
20cm²=Base²+15cm²
400cm-225cm=H²
175=H²
5√7 Answer
I need to find the area!
Plz help me find the answer!
Please help, find the value of y
Answer
Step-by-step explanation:
chord makes or arc make 120° at the center.
sum of other two angles of triangle=180-120=60
because they are equal.
so each angle=60/2=30°
tangent line makes angle 90° with radius .
so 30+y=90
y=90-30=60°
y=-2
4x-3y=18
solve for x and y
No need to solve for y. The value of y is given. See it?
To find x, plug the given value of y into
4x - 3y = 18.
4x - 3(-2) = 18
4x + 6 = 18
4x = 18 - 6
4x = 12
x = 12/4
x = 3
Answer: y = -2 and x = 3.
Understand?
Answer:
X=3 y=-2
Step-by-step explanation:
4x-3y=18
4x-3(-2)=18
4x+6=18
4×=18-6
4x=12
divide both sides by 4
X=3
A cone has a radius of 7 m and a height of 18 m . What is the approximate volume of the cone to the nearest tenth? Use 3.14 for pie
Between which values does 111 lie?
A. 7 and 8
B. 8 and 9
C. 9 and 10
D. 10 and 11
E .11 and 12
Answer: D: 10 and 11
Step-by-step explanation:
The Sq Rt of 111 is 10.5356537529 which falls between 10 and 11
Answer:
D: 10 and 11
Step-by-step explanation:
10.5356537529 10^11
and in standard notation:
105,356,537,529
Find the value of x in the isosceles triangle below then find the measure of the base angle.
x = __°
Measure of 1 base angle = __°
Answer: [tex]x=13[/tex], one base angle measures [tex]74^{\circ}[/tex]
Step-by-step explanation:
The base angles of an isosceles triangle are congruent, so:
5x + 9 = 8x - 30 [congruent angles have equal measure]9 = 3x - 30 [subtract 5x from both sides]39 = 3x [add 30 to both sides]x = 13 [divide both sides by 3]Hence, the measure of one base angle is [tex]5(13)+9=\boxed{74^{\circ}}[/tex]
What is the area of a square that has 2/4 units on each side
Answer:
1/4 of 0.25
Step-by-step explanation:
2/4 x 2/4 = 1/4
T or F: If you consume more calories, you must decrease your physical activity to have energy
balance.
(not math but for pe)
Answer:
F
Step-by-step explanation:
When your losing weight after consuming more calories, you need to increase physical activity to increase the number of calories your body uses for energy.
Find the area of the figure. Round to the nearest tenth.
6.5
3
O 14.6 units2
O 22.4 units2
15.0 units2
O 18.2 units2
Answer:
Area total = 14.6
Step-by-step explanation:
The composite area from left to right is
a half circle plus a rectangle minus a triangle
Area total = π r²/2 + bh - 1/2(bh)
= π (d/2)²/2 + bh - 1/2(b)(h triangle use Pythagorean theorem
= π (3/2)²/2 + 5(3) - 1/2(3)(√(3² - 1.5²) h triangle = c² - (b/2)²
= π 1.5²/2 + 15 - 1/2(3)(2.598)
Area total = 14.637 units²
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
Angles and XWY and STR
Step-by-step explanation:
These two angels are alternate exterior angels because:
- They are on different sides of the transversal (the line intersecting the two parallel lines)
- They have the same angle measure
- They are exterior, meaning they are on the outside, not inside (interior)
Hope this helps!!! :)
Help me pls I don’t get this one
Answer: <BAC is 28.5
Step-by-step explanation:
line AO and Line OB are congruent (both are radius of the circle)
<BAC and <OBA are congruent
<AOB is linear to BOC so 180-57= 123 <AOB is 123
Triangle AOB is Isosceles
2a+123=180
2a=57
a=28.5
NEED NOW WILL NAME BRAINLYIST
Determine if the three side lengths given in each problem can create a triangle or not.
a. 12 cm, 14 cm, 20 cm
b. 4 m, 8 m, 12 m
c. 23 cm, 12 cm, 13 cm
Answer:
a) yes
b) no
c) yes
Step-by-step explanation:
the sum of the 2 shorter sides must be longer than the longest side
Answer:
a and c can make a triangle.
Step-by-step explanation:
the sum of 2 sides must be greater than the last side, all the way around. so 12+14 is better than 20. but 4+8 is not better than 12
The number of miles that Kiki cycled each week for a 7-week period is shown:
36, 42, 28, 52, 48, 36, 31
What is the median number of miles Kiki cycled?
Answer:
36
Step-by-step explanation:
5th grade math. correct answer will be marked brainliest
Answer:
7/12 teaspoons
fraction
Step-by-step explanation:
Amount of salt that would be used = 1[tex]\frac{3}{4}[/tex] x [tex]\frac{1}{3}[/tex]
Convert [tex]1\frac{3}{4}[/tex] to an improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
(1 x 4) + 3 = [tex]\frac{7}{4}[/tex]
7/4 x 1/3 = 7/12