Answer:
The sampling distribution of the time spent studying has an approximately normal distribution, with mean 2.2 and standard deviation 0.1414.
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.
Each student:
Mean of 2.2 hours, standard deviation of 2 hours.
Sampling distribution of the time spent studying has approximate distribution
Sample of 200.
By the Central Limit Theorem,
Approximately normal
Mean 2.2
Standard deviation [tex]s = \frac{2}{\sqrt{200}} = 0.1414[/tex]
The sampling distribution of the time spent studying has an approximately normal distribution, with mean 2.2 and standard deviation 0.1414.
One of the legs of a right triangle measures 4 cm and the other leg measures 19 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
A2 + B2 = C2, so 4 squared + 19 squared = C2, 16 + 361 = 377. 377's square root is 19.4.
Step-by-step explanation:
The measure of the hypotenuse is 19.4 cm.
Given that, one of the legs of a right triangle measures 4 cm and the other leg measures 19 cm.
What is the Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Let the measure of the hypotenuse be x.
Using Pythagoras theorem,
x² = 4² + 19²
⇒ x² = 16 + 361
⇒ x² = 377
⇒ x = √377
⇒ x = 19.4 cm
Therefore, the measure of the hypotenuse is 19.4 cm.
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Select all the expressions that are equivalent to 15 – 5x.
–5(x – 3)
3(5 – x)
–5(3 – x)
–3(–5 + 2x) + x
5(3 – x)'
Answer:
-3(-5+2x)+x
Step-by-step explanation:
First you have to use Distributive Property and multiply -5 and 2x by -3. you should have -6x+15+x. then you have to combine like terms but subtract -6x and x which gives us 5. your answer should be -5x+15. You can rearrange the answer to be 15 - 5x.
PLEASE HELP!!!!
angle A is complementary to angle B . The measure of angle A is(2x+5)^ The measure of angle B is twice the measure of angle A . Part A Write an equation that can be used to determine the value of . Enter the correct answer in the box
Answer:
angle A =90- angle B
angle A=(2x+5)
angle B =2x(let the angle A be x)
(2x+5)=90-2x
2x+5=90-2x
4x+5=90
4x=90-5
4x=85
x=85/4=21.25
angle A=2(21.25)+5=42.5+5=47.5
angle B =2(21.25)=42.5
You roll a die 8 times. What is the probability of rolling EXACTLY six fours?
Answer:
it should be did the math 1/5
Victoria opens a saving account with $200. She earns 1.6% interest. How much will she have after 4 years?
Answer:
i think it is 212.8
Step-by-step explanation:
Answer: it’s 212.8
Step-by-step explanation:
Use equivalent ratios to complete each table. Fill in the blanks
Tables: 8 _ 16 _ _
Chairs: 32 16 _ _ _
Answer:
Step-by-step explanation:
8 4 16 ? ?
32 16 64 ? ?
i dont know the last two but here
What is -1 - 9
Solve for 2x-4y =20
X=4
Answer:
So -1-9= -10
And if x =4 then 2(4)-4y=20
Y= -3
Step-by-step explanation:
2(4)-4y=20
8-4y=20
-4y=12
y=-3
Answer:
-1 - 9 = -10 &
y = -3
Step-by-step explanation:
2x - 4y = 20
2(4) - 4y = 20
8 - 4y = 20
-4y = 12
y = -3
good luck, i hope this helps :)
a number x is greater than 7 graph line
I graphed this line below.
Start with an open dot on 7.
The reason we use an open dot is because x
does not equal 7, it is only greater than 7.
So from your open dot, draw an arrow to the right
to represent all numbers greater than 7.
Finally, state your answer in set notation if possible.
It is read as {x: x > 7}.
Find the missing side in the right triangle. Round to the nearest hundredth.
14
9
х
Answer:
hope it helps it is donr by using pythogorous theorem
The third side of the right triangle is 10.72 unit.
What is Pythagoras theorem?Pythagoras' Theorem states that the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides.
Given, the side of right triangle is;
Let H be hypotenuse = 14
And P be perpendicular = 9
Then to find third side base be B,
we use the Pythagoras theorem;
(H)² = (P)²+(B)²
Rearranging,
(B)² = (H)² - (P)²
(B)² = (14)² - (9)²
(B)² = 196 - 81
(B)² = 115
B = 10.72 unit.
Therefore, the third side is 10.72 unit.
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help pls the question is in screen shot below
Answer:
15 liters
Step-by-step explanation:
Answer:
107
Step-by-step explanation:
24/9=2.66666-Its a repeating decimal
2.666666...(40)=106.66666......
That is about 107 liters
<3 Good Luck
Samantha has 1/3 gallon of milk left and wants to make 55 smoothies. If she wants to use the same amount of milk in each smoothie, how much milk can she put into each smoothie?
Answer:
She can put 1/165 in one smoothie.
Step-by-step explanation:
1/3 divided by 55/1
1/3 x 1/55 = 1/165
Hope this helps! :)
plz make me the Brainiest
On a family vacation, Melissa's family drove 480 miles from Cincinnati,
Ohio to Charlotte, North Carolina. Her dad drove 35% of the way and her
mom drove 65% of the distance her dad drove. If her brother drove the
remaining miles, about how many miles did her mom, dad, and brother
each drive
Answer:Melissa's mom, dad, and brother each drove 312miles, 168miles and 0 miles respectively
Step-by-step explanation:
If Mellisa's dad drove 35% of the way
and Melissa's mum drove 65% of the way,
Then
Melissa's brother did not drive at all because
Miles covered by her dad = 35% x 480 = 0.35 x480= 168 miles
Miles covered by her mum= 65% x 480 = 0.65 x 480=312miles
her mom, dad, and brother each drove 312miles, 168miles and 0 miles respe ctively
How do you graph x>12
Answer:
socratic
Step-by-step explanation:
just use the app
A new building is being constructed a distance of 420 feet from the ocean, and the builder wants to have a rooftop patio
with a view of the ocean. Another building, in between the new building and the ocean, is located a distance of 180 feet
from the ocean and has a height of 15 feet. The angle of elevation from the ocean to the top of the new building, O.
represents the minimum angle for a person on the rooftop to view the edge of the ocean
rooftop
patio
15 ft.!
180 ft.
420 ft.
. To the nearest hundredth, what is the measure of in degrees?
. Construction for the new building has a maximum height restriction of 32 feet Is it possible for the builder to have a
rooftop patio with a view of the ocean? Justify your answer. In your response, make sure to define your variables
and show all your work
Enter your answers and justification in the box
Math symbols
Relations
No
Answer:
[tex]\theta = 4.8^\circ[/tex]
It is possible
Step-by-step explanation:
Given
See attachment for the construction
Solving (a): The minimum angle
This is calculated as thus:
[tex]tan(\theta) = \frac{Opposite}{Adjacent}[/tex]
[tex]tan(\theta) = \frac{15}{180}[/tex]
[tex]tan(\theta) = 0.0833[/tex]
Calculate [tex]\theta[/tex]
[tex]\theta = tan^{-1}(0.0833)[/tex]
[tex]\theta = 4.761[/tex]
[tex]\theta = 4.8^\circ[/tex] --- approximated
Solving (b):
First; calculate the height of the building using the following equivalent ratio.
[tex]h : 420 = 15 : 180[/tex]
Where h is the height of the building
[tex]\frac{h }{ 420 }= \frac{15 }{ 180}[/tex]
[tex]h= \frac{15 }{ 180}*420[/tex]
[tex]h= \frac{15*420 }{ 180}[/tex]
[tex]h= \frac{6300}{ 180}[/tex]
[tex]h= 35[/tex]
This means that it is possible that the builder builds a 32 feet high building
From the picture attached,
Angle of depression = Angle of elevation (θ) [Alternate angles]
Apply tangent rule in ΔCDP,
[tex]\text{tan}\theta=\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
[tex]\text{tan}\theta=\frac{CD}{DP}[/tex]
[tex]=\frac{15}{180}[/tex]
[tex]=\frac{1}{12}[/tex]
[tex]\theta=\text{tan}^{-1}(0.08333)[/tex]
[tex]\theta=4.76^\circ[/tex]
Similarity of two triangles:If two triangles are similar, their corresponding sides will be proportional.Use this property to get the height of the new building.
Since, ΔABP and ΔCDP are the similar triangles, their corresponding sides will be proportional.
[tex]\frac{AB}{BP}=\frac{CD}{DP}[/tex]
[tex]\frac{AB}{420}=\frac{15}{180}[/tex]
AB = [tex]\frac{420\times 15}{180}[/tex]
= 35 feet
But the construction for a new building has a maximum height restriction of 32 feet.
And the height of the building is more than the restricted height.
Therefore, it is not possible for the builder to have a rooftop patio with a view of the ocean.
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Convert the equation to vertex form.
y = x2 – 8x + 10
Answer:
Step-by-step explanation:
y = (x² - 8x) + 10
Complete the square
coefficient of the x term: -8
divide it in half: -4
square it: (-4)² = 4²
use 4² to complete the square and keep the equation balanced:
y = (x²-8x + 4²) - 4² + 10
y = (x-4)² - 6
Answer:
y = (x - 4)² - 6
Step-by-step explanation:
use the 'completing the square' method:
x² - 8x + 10 = 0
x² - 8x + 16 = -10 + 16
(x - 4)² = 6
y = (x - 4)² - 6
Plz help me with math I am bad at it plzz
Answer:
c im pretty sure because im good at this
57/4 × 1/6 = 57/24 =
57/24 = 19/8 (divide numerator and denominator by 3)
Hope this helps.
Q) 57/4 × 1/6 = 57/24 = ?
→ 57/4 × 1/6
→ 57/24 = 19/8
Therefore the final answer is,
→ 57/4 × 1/6 = 57/24 = 19/8
HELPPPPP I WILL GIVE U THE BRAINLEST!!!!
What is the diameter, if the circumference is 24? Round all answers to the nearest
hundredth.
11). Miguel has $87,255 in a savings account that earns 9% interest per year in simple interest. To the nearest cent, how much will he have in 4 years? OA). $31,411.80 O B). $123,167.55 O C). $35,912.55 OD). $118,666.80
Answer:
[tex]A). \: \$31,411.80[/tex]
Step-by-step explanation:
[tex]s.i = \frac{p \times r \times t }{100} \\ \\ s.i = \frac{87255 \times 9 \times 4}{100} = 31,411.8[/tex]
Answer:A
Step-by-step explanation:
Which is the way to express 10+12 as the product of the GCF and another sum?
Answer:
The answer is pretty simple it's 12+10
Step-by-step explanation:
Multiply and simplify. (4x−7)(x+5)
What is the answer?
Question 3 options:
5x−2
5x2+13x−35
4x2+13x−35
4x2+27x+35
Answer:
C) 4x^2 + 13x - 35
Step-by-step explanation:
(4x-7)(x+5)
4x × x + 4x × 5 - 7x - 7 × 5
4x^2 + 20x - 7x - 35
4x^2 + 13x - 35
Two secretarial students, Agyemang and Ike
are used Typewriter dealers. They found that the
length of time before a major repair is required on
Typewriter sold is normally distributed with a mean
equal to 11 months and
Standard deration & 2
montes. If the dealers wand only s% of the
Cars to fail before the end of the guarantee
period, for how
many
minth should the Typewriters
be guaranteed
how me
,
Step-by-step explanation:
22
A thermally insulated vessel contains
150 g of water at 0°C. Then the air from the
vessel is pumped out adiabatically. A
fraction of water turns into ice and the rest
evaporates at 0°C itself. The mass of
evaporated water will be closest to:
(Latent heat of vaporization of
water = 2.10 x 106 Jkg - and Latent heat of
Fusion of water = 3.36 x 105J kg-1)
what fraction is equivalent to -1.25
Answer:
-5/4
Step-by-step explanation:
because 1/4 would be .25 so .25 x 5 = 1.25
and then just make it negitive
Answer:
Step-by-step explanation:
There are an infinite number of fractions which equal -1.25.
But for simplicity realize that this is equal to -1.25/1. Multiply the numerator and denominator by 4 to get
-5/4
In AGHI, the measure of ZI=90°, HI = 1.1 feet, and IG = 7.5 feet. Find the measure of
ZG to the nearest tenth of a degree.
Answer: 8.3
Step-by-step explanation:
if i buy 4m of cloth at N1.75 per m how much change shall I receive out of N10.00
Answer:
$3
Step-by-step explanation:
4 x 1.75 = $7
$10 - $7 =
$3
Hope that helps!
The amount of change you will receive after buying the cloth is N3.00.
What is function? Differentiate between equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that you bought 4m of cloth at N1.75 per meter.
The amount of change you will receive after buying the cloth is -
N10 - N(1.75 x 4)
N{10 - 1.75 x 4}
N{10 - 7}
N3.00
Therefore, the amount of change you will receive after buying the cloth is N3.00.
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will received a 2% increase in pay, He was making $1,190/biweekly.
a. How much was his raise?
b. How much is he making now?
Answer:
A: His raise was $23.8
B: He is making $1213.8
Step-by-step explanation:
Do 1190 divided by 100 and your answer will be
11.9 which is 1%, then do (11.9 + 11.9) + 1190 which will equal 1213.8
a. Will's raise was the amount of $23.80. b. Will is now making $1,213.80 biweekly.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
For example, If Misha obtained a score of 67% on her exam, that corresponds to 67 out of 100. It is expressed as 67/100 in fractional form and as 67:100 in ratio form.
Will receive a 2% increase in pay, He was making $1,190/biweekly.
a. Will's raise was $23.80. This can be calculated by multiplying his original biweekly payments of $1,190 by 2% (0.02).
b. Will is now making $1,213.80 biweekly. This can be calculated by adding his raise of $23.80 to his original biweekly payments of $1,190.
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I need help on this for real
Answer:
x < 3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
Gang ima just take them points tbh
Step-by-step explanation:
Which formula represents how to find r in a polar coordinate?
Answer:
Here's the answer:
r = √ ( x2 + y2 )
Answer:
To convert from Cartesian Coordinates (x,y) to Polar Coordinates (r,θ):
1. r = √ ( x2 + y2 )
2. θ = tan-1 ( y / x )
I hope it's helpful!
Financial algebra: Karen wants to make a deposit of $500 each week into an account that earns %5 interest compounded weekly(52 weeks/year). How much money will be in the account at the end of 1 year?
How much money in interest will be the account earned at the end of the year?
7 (w+13)= 35 what the value of w
Answer:
w=-8
Step-by-step explanation:
take both sides and divide by 7
(w+13)=5
subtract both sides by 13
w=-8
