Answer:
The 95% confidence interval estimate for the population mean force is (1691, 1755).
Step-by-step explanation:
According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally.
The sample selected here is n = 30.
Thus, the sampling distribution of the sample mean will be normal.
Compute the sample mean and standard deviation as follows:
[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{30}\times 51702=1723.4\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{30-1}\times 232561.2}=89.55[/tex]
Construct a 95% confidence interval estimate for the population mean force as follows:
[tex]CI=\bar x\pm z_{\alpha /2}\times\frac{s}{\sqrt{n}}[/tex]
[tex]=1723.4\pm 1.96\times\frac{89.55}{\sqrt{30}}\\\\=1723.4\pm 32.045\\\\=(1691.355, 1755.445)\\\\\approx (1691, 1755)[/tex]
Thus, the 95% confidence interval estimate for the population mean force is (1691, 1755).
Joey would like to apply for a loan but knows that his high debt-to-income (DTI) ratio will probably get in his way
He would like to lower his DTI ratio by lowering the amount of his gross monthly income that goes to living
expenses.
Joey's current monthly expenses include a rent payment of $1,100, a $178 car payment, and a combined minimum
payment of $220 for his credit card debt. His current gross monthly income is $3,600. If Joey moves to a new
apartment, what is the maximum monthly rent payment he can make and still maintain a DTI ratio of 36%?
a $702
b. $898
$922
d. $960
more
C
Answer:
$898
Step-by-step explanation:
Based on Joey's debt-to-income ratio, the maximum monthly rent payment he can make and still maintain the DTI ratio is b. $898.
Monthly debt maximum paymentJoey has a DTI ratio of 36% which means that his maximum debt payment should be 36% of his income. This amount would be:
= DTI x monthly income
= 36% x 3,600
= $1,296
Maximum monthly rentThis can be found as:
= Maximum monthly debt payment - Car payment - Credit card payment
= 1,296 - 178 - 220
= $898
In conclusion, option B is correct.
Find out more on DTI ratios at https://brainly.com/question/24814852.
Every rope has a safe working load. A rope should not be used to lift a weight greater than its safe working load. The table shows the safe working loads S (in pounds) for ropes with circumference C (in inches). Write an equation for the safe working load for a rope. Find the safe working load for a rope that has a circumference of 10 inches.
9514 1404 393
Answer:
S = 180C²18,000 lbsStep-by-step explanation:
Assuming the table attached with C in inches and S in pounds, we see that the first differences in S are ...
180, 540, 900
These are not constant, so the relation is not linear.
Second differences are ...
360, 360
These are constant, so the relation is quadratic. With a short trial, we find that a suitable equation is ...
S = 180·C²
__
The safe load for C=10 is then ...
S = 180·10² = 18,000 . . . pounds
Keira cut a 6 meter 9 centimeter stick into 5 equal pieces. Shayla cut a 460 centimeter stick into 4 equal pieces. How much longer is one of Shayla's wires than one of keira's?
HELP HELP HELP BASVDHGJUAWGJVJB i need it before 11:59 :(
Answer:
Keira : 609cm/5 = 121.8cm
Shayla : 460cm/4 = 115cm
6.8cm
Step-by-step explanation:
In this equation it looks like one of keira's wires is longer since when you divide the total number of centimeters (609) by 5, you get 121.8
The difference between keira and shayla's wire is 6.8cm
I will give you branilest!
To transmit information on the internet, large files are broken into packets of smaller sizes. Each packet has 1,500 bytes of information. An equation relating packets of information is given by b = 1500p where p represents the number of packets and b represents the number of bytes of information.
a. How many packets would be needed to transmit 30,000 bytes of information?
Answer:20 packets
Step-by-step explanation: 30,000/ 1500=20
Answer:
20 packets (answer)
Step-by-step explanation:
= 30,000/1500 = 20
=20 packets
( Glad to help:)
I NEED HELP I AM STUPID SO I DONT GET THIS HERE IS THE QUISTION 4-x-6(x+5)=15 HE ALSO SAID THIS - Students will determine whether an equation has 0, Infinite, or 1 solution, and if 1, find it. I ADDED A SCREEN SHOT OF QUISTION PLS HELP ME OR I AM FAILING THIS CLASS
Answer:
im pretty sure it has two real solutions
Step-by-step explanation:
1. simplify the equation given
(4x - 6)(x + 5) = 15
4x^2 + 20x - 6x - 30 = 15
4x^2 + 14x - 45 = 0
2. find the discriminant (b^2 - 4ac); (a = 4, b = 14, c = -45)
14^2 - (4 x 4 x -45)
196 - (-720)
916
the discriminant is positive, so this equation has 2 real solutions
to find the solutions, factor the bolded equation (if you need help factoring, let me know!)
2m + 8m converted to Verbal Phrase
Answer:
is it two m plus eight m?
Which of the following expression(s) are equivalent to 0.16? Select all that apply.
A)
16
100
B)
9
50
OD) 16%
.
Answer:a
Step-by-step explanation:
A machine made 4 1/2 pencils in 3 1/3 minutes. How many pencils did the machine make in one minute?
Given parameters:
Number of pencils = [tex]4\frac{1}{2}[/tex] pencils
Time taken = [tex]3\frac{1}{3}[/tex] minutes
Unknown:
Number of pencils produced in 1 minute;
Solution:
To solve this problem, let us first find the rate of the machine;
Rate of machine = [tex]\frac{number of pencils }{time taken}[/tex]
Rate of machine = [tex]\frac{\frac{9}{2} }{\frac{10}{3} }[/tex] = [tex]\frac{9}{2} x \frac{3}{10}[/tex] = [tex]\frac{27}{20}[/tex] pencils/minute
Now, number of pencils produces in 1 minute;
Number of pencils = rate of machine x time taken
Number of pencils = [tex]\frac{27}{20}[/tex] pencils/ min x 1 min
Number of pencils = [tex]\frac{27}{20}[/tex]pencils
The number of pencils produced in 1 minute is [tex]\frac{27}{20}[/tex]
Lines k and l are parallel. When lines k and l are cut by the transversals below, an isosceles triangle is formed. Lines k and l are parallel. Lines s and t intersect lines k and l to form a triangle. At the intersection of lines s, t, and k, clockwise from top left, the angles are blank, blank, blank, 70 degrees, 1, blank. At the intersection of lines s and l, the angles are blank, x degrees, blank, blank. At the intersection of lines l and t, the angles are x degrees, blank, blank, blank. What is Measure of angle 1? 35 degrees 40 degrees 55 degrees 70 degrees
Answer:
its 48
Step-by-step explanation:
Answer:
it's 40
Step-by-step explenation
dont need one the people have brains
Whitney wants to buy a sweater for $36. If the sales tax rate is 8.25%, what will be
the amount of sales tax on Whitney’s purchase?
A $2.89
B $2.97
C $3.06
D $3.13
Answer:
B
Step-by-step explanation:
Solve the equation. Check your answer.
4|2x - 2|= 32
Answer:
x
=
4
or
x
=
−
4
Explanation:
First divide throughout by
2
to get
x
2
=
16
Now take the square root on both sides to get
x
=
±
4
.
You may now substitute the values of
x
=
4
and
x
=
−
4
back into the original equation and check that it satisfies the equation which it does.
Step-by-step explanation:
Answer:
x= -3 , x=5
Step-by-step explanation:
4|2x-2|=32
|2x-2|=8
2x-2=8
2x-2= -8
x=5
x=-3
Can you help me please
Answer:
Using trigonometry:
Let's take Tan of 60 degrees:
Tan 60 degrees = Opposite / adjacent
We can see that the opposite side is 3√3 and the adjacent side is x
Tan 60 degrees = 3√3 / x
From the trigonometric table, we know that Tan 60 degrees is √3
√3 = 3√3 / x
x = 3√3 / √3
x = 3
Now, we will take Sin of 60 degrees
Sin 60 degrees = Opposite / Hypotenuse
We can see that the opposite side is 3√3 and the hypotenuse is y
Sin 60 degrees = 3√3 / y
From the trigonometric table, we know that Sin 60 degrees is √3 / 2
√3/2 = 3√3 / y
y = 3√3 / (√3/2)
y = 3√3 * 2/√3
y = 6
Therefore, y = 6 and x = 3
Bill has $12,400 in a regular savings account earning 43% annual interest
that is compounded monthly. How much will be in the account at the end of 3
years?
Round to the nearest cent, and do not include the dollar sign in your answer.
Answer:
44041.03
Step-by-step explanation:
A = P(1 + r/n)^nt
= 12400(1 + .43/12)^12(3)
= 12400(1.03583333)³⁶
= 12400(3.55169589)
= 44041.029
What is
100 + 100
Please I can't solve it.
Answer:
200
Step-by-step explanation:
Answer:
100+100 is 200 because if you add 100 to another 100 you will get 200 :)
The neutral point of your glider depends on what?
Answer:
The size of the wing and the size of the horizontal stabilizer
Step-by-step explanation:
Last week, Leonardo's hamster drank 25 mL of water. This week he drank 15 mL of water. By what percent did the hamster’s intake of water decrease?
Answer:
40%
Step-by-step explanation:
It went down by 10 ml.
40% of 25 is 10, so te answer would be 40%
Answer:
60%
Step-by-step explanation:
Part/whole method:
[tex]\frac {15} {25} = \frac {p} {100}[/tex]
15·100=1,500
1,500÷25=60
15 is 60% of 25
What is the size of angle t in the image below? Give
your answer in degrees ().
t
340°
Reflex angle
Step-by-step explanation:
Reflex angle is more then 180 and less then 360
Answer:
yes buddy ans is reflex angle
The number 20 is decreased to 19. What is the percentage by which the number was decreased, to the nearest tenth of a percent
Answer:
(19-20)/20 = -.05 or a decrease of 5% (-5%)
Step-by-step explanation:
(final number - initial number) / initial number * 100
I need help with all of these.
Answer:
1: m=2
2: g=7
3: y=13
4: a=-27
5: x=15
6: w=-18
Answer:
1. m = -2
2. g = 7
3. y = 13
4. a = -36
5. x = 15
6. w = -18
Step-by-step explanation:
1. Make the constant to the right-hand side and change its sign
a = 10 - 12
Calculate the difference a = -2
Solution
a = -2
2. Move variable to the left-hand side and change its sign
-g - 2 = - 9
Move constant to the right-hand side and change its sign
-g = -9 + 2
Calculate the sum
-g = -7
Change the signs on both sides of the equation
g = 7
Solution
g = 7
3. Divide both sides of the equation by - 7
-7y ÷ (-7) = -91 ÷(-7)
Any expression divided by itself equals 1
y = 91 ÷ (-7)
Divide two negatives equals a positive: (-) ÷(-)=(+)
y = 91 ÷ 7
Calculate the quotient
y = 13
Solution
y = 13
4. Multiply both sides of the equation by 9
9 x a/9 = 9 x (-4)
Reduce the number with the greatest common factor 9
a = 9 x (-4)
Multiply a positive and a negative equals a negative: (+)x(-)=(-)
a = -9 x 4
Multiply the numbers
a = -36
Solution
a = -36
5. Multiply both sides of the equation by 3/2
3/2 × 2/3x = 3/2 × 10
Reduce the numbers with the greatest common factor 3
1/2 × 2x = 3/2 × 10
Reduce the numbers with the greatest common factor 2
x = 3/2 × 10
Reduce the numbers with the greatest common factor 2
x = 3 x 5
Multiply the numbers
x = 15
Solution
x = 15
6. Multiply both sides of the equation by 9/4
9/4 x 4/9w = 9/4 x (-8)
Reduce the numbers with the greatest common factor 9
1/4 x 4w = 9/4 x (-8)
Reduce the numbers with the greatest common factor 4
w = 9/4 x (-8)
multiplying a positive and a negative equals and negative: (+)x(-)=(-)
w = -9/4 x 8
Reduce the numbers with the greatest common factor 4
w = -9 x 2
Multiply the numbers
w = -18
Solution
w = -18
Determine if the ratio or rates are equivalent: 120 calories in 2 servings; 360 calories in 6 servings OMG PLS HELP ASAP I NEED HELP YOU GET 25 PIONTS
Answer:
No, they are not equivalent
Step-by-step explanation:
Because
120/2 Can not be divided equally into 360/6
Answer:
Yes
Step-by-step explanation:
They are equivalent because if you write the ratio's out, you get 120:2 and 360:6. If you then simplify both, you get 60:1. To simplify these, you need to find a common factor. In 120:2, you can tell that both numbers can be divided by two because they are both even. After dividing, you get 60:1. In 360:6, you can tell that both numbers can be divided by 6 since they both are multiples of 6. After dividing, you get 60:1. Because these to ratio's are equal, they are equivalent.
Dos numeros que al sumar den -8 y al multiplicar den -12
Answer:
english please
Step-by-step explanation:
What is the sum of -95
and its additive inverse?
Answer:
0
Step-by-step explanation:
Answer: 0 is the answer
Step-by-step explanation:
9 of 10
Work out
3 4.
2 +1
4 5
Give your answer as a mixed number
where appropriate.
Solve for the given variable:
14=63n
Answer:
n = 2/9
Step-by-step explanation:
switch sides: 63n=14
divide both sides by 63: 63n/63 = 14/63
simplify: n = 2 / 9
Please help me please!!!!!!!! I will give brainliest
Answer:
No
Step-by-step explanation:
Counterexample for the numbers 25 and 10
The actual LCM is 50
If you were to multiply both numbers together you would get 250 which is incorrect
What is the absolute value of l -32 l?
What ratio is equivalent to 12;6
Answer:
2:1, 4:2, 6:3, 8:4, 10:5, etc.
Step-by-step explanation:
Answer:
12 : 6 24 : 12 36 : 18 48 : 24 60 : 30
2:1 (just to name a few, Let me know if one the answer)
Step-by-step explanation:
multiply both by a number, kinda like a fraction.
Lupus is a medical phenomenon where antibodies that are supposed to attack foreign cells to prevent infections instead see plasma proteins as foreign bodies, leading to a high risk of blood clotting. It is believed that 2% of the population suffer from this disease. The test is 98% accurate if a person actually has the disease. The test is 74% accurate if a person does not have the disease.
If an individual tests positive for lupus, what is the probability that this is a false positive? (In other words, what is the probability of an individual not having lupus, given that they received a positive test result?)
Do not give your answer as a percentage chance, but rather as a decimal probability (i.e., 0.xxx).
Answer: the answer should be lower than because this is the percentage of people who get diagnosed with a disease that is not lupus 0.465 so about 50% or 0.5 hopefully that help I don't know the answer for the amount of people who don't have it and get misdiagnosed there is no information on it based on what I've seen
Step-by-step explanation: Its based on a study from the Lupus Foundation of America
Help Me Please. ? And Thank You
Answer:
20
Step-by-step explanation:
how, because 3 is 12, 4 is 16 because multiply by 4
Simplify 0.3(x - 2y) + 0.5x - y.
Sorry I would give more points but I really dont have much.
Answer:
0.8x - 1.6y
Step-by-step explanation:
Step 1: Write expression
0.3(x - 2y) + 0.5x - y
Step 2: Distribute 0.3
0.3x - 0.6y + 0.5x - y
Step 3: Combine like terms
0.8x - 1.6y
Answer:
0.8x - 1.6y
-step explanation:
