Answer:
The probability that the monthly mortgage is between 2300 and 3140 is: 0.23167
Step-by-step explanation:
Given
[tex]\mu = 2870[/tex] --- the average
[tex]\sigma = 470[/tex] --- the standard deviation
Required [Missing from the question]
Monthly mortgage is between 2300 and 3140
This is represented as:
[tex]P(2300 < x < 3140)[/tex]
This is calculated as:
[tex]P(a< x < b) = P(z_a < Z < z_b)[/tex]
[tex]P(2300< x < 3140) = P(z_b < Z < z_a)[/tex]
Calculate the z scores
[tex]x = 3140[/tex]
[tex]z = \frac{3140 - 2850}{470}[/tex]
[tex]z = \frac{290}{470}[/tex]
[tex]z = 0.6170[/tex]
[tex]x = 2300[/tex]
[tex]z = \frac{3140 - 2300}{470}[/tex]
[tex]z = \frac{840}{470}[/tex]
[tex]z = 1.7872[/tex]
So, we have;
[tex]P(2300< x < 3140) = P(1.1787 < Z < 0.6170)[/tex]
This is then calculated as:
[tex]P(a < Z < b) = P(Z < a) - P(Z <b)[/tex]
[tex]P(a < Z < b) = P(Z < 1.1782) - P(Z <0.6170)[/tex]
[tex]P(2300< x < 3140) = P(Z < 1.1782) - P(Z <0.6170)[/tex]
Using the z table:
[tex]P(Z<0.6170) =0.73138[/tex]
[tex]P(Z<1.7872) =0.96305[/tex]
[tex]P(2300< x < 3140) = 0.96305 - 0.73138[/tex]
[tex]P(2300< x < 3140) = 0.23167[/tex]
Convert 360°F to °C, rounded off to the nearest 10°C.
Answer:
360 Fahrenheit is equal to 182.222 Celcius, round it to 182
Step-by-step explanation:
find the circumference of the circle to the nearest tenth
Answer:
34.6
Step-by-step explanation:
Answer:
It will be 34.6 by my opinion
What effect does armature reaction have on the torque speed characteristic of a DC shunt motor?
Answer:
Step-by-step explanation:
The armature reaction in the motor affects the torque speed characteristics of the motor. Due to the armature reaction in the motor the shape of the torque speed characteristics will changes. The relation between torque and speed of the motor is given below.
…… (1)
where
Terminal voltage of the motor
Flux in the motor
Torque induced in the motor
Armature resistance
If a motor has armature reaction, as the load increases the flux weakening effect reduces the flux in the field winding. From equation (1), as the flux reduces, the speed of the motor increases at a given load over the speed it would run at without armature reaction.
a bag contains 1 red beads,2 yellow beads,2 green beads and 1 blue beads
a bead is chosen at random
a)what is probability that it is green ?
b)what probability that it is green or yellow
Answer:
a) 2/6 b) 4/6
Step-by-step explanation:
You add the amount of beads: 1+2+2+1= 6
And take the amount of green beads and put it over the total amount so 2/6
For b you do the same but add the green and yellow beads and put that over the total amount 4/6
Answer:
Step-by-step explanation:
a) 2/6 = 1/3
b) green or yellow = (2/6 x 1/5) + (2/6 x 1/5) = 1/15 x 1/15 = 1/225
im not sure if my answers are correct
7) Una epidemia mató los 3/7 de las vacas de un granero y de las que le quedaron vendió 1/2. Si todavía le quedaron 24 vacas, ¿Cuántas vacas tenía al principio, ¿cuántas murieron y cuántas vendió?
Answer:
Habían inicialmente 84 vacas. Murieron 36 vacas. 24 vacas fueron vendidas.
Step-by-step explanation:
Sea [tex]x[/tex] la cantidad inicial de vacas. De acuerdo con el enunciado, murieron tres séptimos de la cantidad inicial y la mitad de ese remanente fue vendida, quedando 24 vacas. Matemáticamente, tenemos las siguientes operaciones:
Cantidad inicial de vacas
[tex]x = \frac{24}{\left(1-\frac{3}{7} \right)\cdot \left(1-\frac{1}{2} \right)}[/tex]
[tex]x = 84[/tex]
Habían inicialmente 84 vacas.
Cantidad de vacas muertas
[tex]y = \frac{3}{7}\cdot x[/tex]
[tex]y = 36[/tex]
Murieron 36 vacas.
Cantidad de vacas vendidas
[tex]z = \left(1-\frac{3}{7} \right)\cdot \frac{1}{2}\cdot x[/tex]
[tex]z = 24[/tex]
24 vacas fueron vendidas.
5th grade math. correct answer will be marked brainliest
Answer:
Step-by-step explanation:
1[tex]\frac{1}{2}[/tex] * [tex]\frac{1}{3}[/tex] = [tex]\frac{3}{2}[/tex]*[tex]\frac{1}{3}[/tex] cross cancel then you have [tex]\frac{1}{2}[/tex] :)
Answer:
He will use 1 1/6 teaspoons
You can change mixed numbers by changing it into an improper fraction.
Step-by-step explanation:
Write the equation of the line that passes through the point (-1,-5) and has a slope of -2?
Answer: -7 is the answer.
Step-by-step explanation:
y2 - y1 = m (x2 - x1)
y - (-5) = -2 {x - (-1)} [Taking y2 as y and x2 as x]
y + 5 = -2 (x + 1)
y + 5 = -2x -2
y + 2x = -2 - 5
2x + y = -7
GIVING 25 PTS I REALLY NEED HELP ON THIS LAST QUESTION AND IM TIMED ILL GIVE BRAINLIEST TO WHOS RIGHT
Answer: A, 314 square inches
Step-by-step explanation:
The equation for the area of a circle is A = 3.14 x r²
3.14 x 10² ≈ 314
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 35
Step-by-step explanation:
The sum of interior angles of a triangle is 180°.
40 + 2a + 2a = 180
4a + 40 = 180
4a = 140
a = 35
Which is the value of this expression when P= -2
and q=-1
((p^2)(q^-3))^-2•((p^-3)(q^5))^-2
-4
-1/16
1/16
4
Answer:
B -1/16
Step-by-step explanation:
Volume of a square prism with faces of 3/8
Answer:
27/512 in.^3
Step-by-step explanation:
volume = side^3
V = (3/8 in.)^3
V = 27/512 in.^3
Which line shown appears to have a Y-intercept of 3?
A. I
B. II
C. III
D. IV
E. none of the above
Let f(x) = x-9
Find (f o f)(x) and its domain
(f o f)(x) =
Answer:
Step-by-step explanation:
1 Jack checked out the price of a particular music system at five different stores. $370, $475, $445, $465, $380 What is the mean price of the music system? A. $445 B. $427 C. $475 D. $370
Answer:B. $427
Step-by-step explanation:
370+475+445+465+380=2135
2135/5=427
Answer:
430
Step-by-step explanation:
I did the measure of center thing
Let's play Cooking Diary! Together we'll rock the culinary world! https://social-cd.mytonagames.com/4gx9R8
Find each angle measure
Answer:
angle 1 = 63°
angle 2 = 117°
angle 3 = 63°
Step-by-step explanation:
angle 2 = 117° (vert.opp.angles)
angle 1 = angle 3 (vert.opp.angles)
angle 1 + angle 2 + angle 3 + 117° = 360°
angle 1 + 117° + angle 3 + 117° = 360°
angle 1 + angle 3 = 360° - 117° - 117°
angle 1 + angle 3 = 126°
angle 1 = 63°
angle 3 = 63°
HELPPPPPPP PLSSSSSSSS
Answer:
D'(5,2)
E'(13,-5)
F'(15,3)
please please help me I will mark brainlist !!
Answer:
9. B. 32 millimeters
10. C. 7 inches
11. C. 56.24 millimeters
13. B. 14.13 square feet
Step-by-step explanation:
9. Radius of a circle or any circular shape = ½ of its diameter
Diameter of the disk = 64 millimeters
Radius of the disk = ½(64) = 32 millimeters
10. Width of the cooler = 6 in.
Length = 8 in.
Volume = 336 in.³
Height = ?
Formula for volume of a rectangular prism = L*W*H
Plug in the values
336 = 8*6*H
336 = 48*H
Divide both sides by 48
336/48 = H
H = 7 inches
11. A dime has a circular shape
The circumference of the dime = circumference of a circle = πd
Where,
d = 17.91 millimeters
π = 3.14
Plug in the values
C = 3.14 × 17.91 = 56.2374
≈ 56.24 millimeters (nearest hundredth)
12. Area of the top of the desk = area of semicircle = ½ × πr²
Where,
r = ½(6) = 3 ft
π = 3.14
Plug in the values
Area = ½ × 3.14 × 3² = ½ × 3.14 × 9
Area = 14.13 square feet
what is the GCF of 24 and 20 is?
Step-by-step explanation:
4. because it's the highest number your can evenly divide both numbers by
Graph the function f(x)= -³√x+2.
Answer:
Step-by-step explanation:
What is the range of this function?
{(-2,3), (0,1), (1, -2), (2,5)}
Answer:
3,1,-2,5
Step-by-step explanation:
The range means the y number of the domain (x)
Answer:
Hi! The answer to your question is {3,1,-2,5)
Step-by-step explanation:
The Domain is a set of all the values of x. The Range is a set of all the values of y.
Hope this helps **™
- Brooklynn Deka
❣❣❣
Rachel received a monthly raise of $105.25. If this represented a 5.5% increase, what is her monthly salary after the raise?
A. $1,913.64
B. $1,964.13
С. $2,018.89
D. $2.089.18
Answer:
C
Step-by-step explanation:
105,25:5,5*105.5=2018,89
express y as a function of x.
I keep getting hairy answers and I'm not sure I'm doing this correctly
Answer:
[tex]y = 7x - \frac{2}{6}[/tex]
Step-by-step explanation:
In y = (1)/(2) (3x+4) - (1)/(3) (x+7)
y = 7x-2/6 (Solving for y)
x = 6y/7 + 2/7
Answer:
4 ln y = 1/2 ln (3x + 4) - 1/3 ln (x + 7) + ln C4 ln y = ln [C*(3x + 4)[tex]^{1/2}[/tex]/(x + 7)[tex]^{1/3}[/tex]]ln y = 1/4 ln [C*(3x + 4)[tex]^{1/2}[/tex] / (x + 7)[tex]^{1/3}[/tex]]ln y = ln [C[tex]^{1/4}[/tex](3x + 4)[tex]^{1/8}[/tex] / (x + 7)[tex]^{1/12}[/tex]]y = C[tex]^{1/4}[/tex](3x + 4)[tex]^{1/8}[/tex] / (x + 7)[tex]^{1/12}[/tex]or
y = [tex]\sqrt[24]{C^6(3x + 4)^3/(x + 7)^2}[/tex]The train clock run fast and gain 4 minutes every 3 days. How many minutes and seconds will it have gained at the end of 2 days.
Answer:
2 minutes, 40 seconds
Step-by-step explanation:
set up a proportion and cross-multiply:
4/3 = x/2
3x = 8
x = 2 2/3 which is 2 minutes, 40 seconds
im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points
Answer:
i belive it is answer B
Step-by-step explanation:
Answer:
I think its B
Step-by-step explanation:
im not sure
HELP PLEASE THIS IS DUE IN 15 MIN!!!!!!!!!!!
look at the picture
Answer:
c reflexive property
if you look at it it's reflecting
=============================================================
Explanation:
For statement 1, we'll have angle O congruent to angle M. This is visually given by the angle arcs that are the same.
For statement 2, we'll have segment OL congruent to segment LM. This is also given because of the tickmarks on the segments to show they are the same length.
In statement 3, angle KLO is congruent to angle MLN. The reason for this is they are vertical angles. So if your teacher was asking about what goes for reason 3, then you would be correct in selecting choice A.
The actual answer is choice B) ASA because we have two pairs of congruent angles (refer to statements 1 and 3 mentioned earlier); between those angles for each triangle we have a pair of congruent segments (refer to statement 2). So that's why we go for ASA. As you can probably guess, "A" stands for "angle" and "S" stands for "side". The order matters. The side must be between the angles in question. This means AAS is slightly different than ASA.
Side note: The reflexive property is the idea that any segment or angle is congruent to itself. It's not used at all here, but it's useful in other situations.
Another side note: CPCTC stands for "corresponding parts of congruent triangles are congruent". It basically means that if two triangles are congruent, then the pieces that match up together are congruent as well.
sin 30Degrees = square of 3/2 and cos 30degrees =1/2 true or false
Answer:
False
Step-by-step explanation:
Trying it in a calculator says otherwise meaning it's false
Pls help I don’t know hot to multiply the last part 8 2
Answer:
8^2 = 64
Step-by-step explanation:
Hi! Okay, let's get started!
[tex]8^{2}[/tex] is what you need help with right?
So, that equals to 8 x 8.
8 x 8 = 64, so it would be 64
Hope that helps!
-Aphrodite :)
The authors of a paper concluded that more boys than girls listen to music at high volumes. This conclusion was based on data from independent random samples of 768 boys and 745 girls from a country, age 12 to 19. Of the boys, 397 reported that they almost always listen to music at a high volume setting. Of the girls, 331 reported listening to music at a high volume setting.
Do the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls? Test the relevant hypotheses using a 0.01 significance level. (Use a statistical computer package to calculate the P-value. Use μboys − μgirls. Round your test statistic to two decimal places and your P-value to four decimal places.)
Answer:
Since the calculated value of z= 2.82 does not lie in the critical region the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.
The value of p is 0 .00233. The result is significant at p < 0.10.
Step-by-step explanation:
1) Let the null and alternate hypothesis be
H0: μboys − μgirls > 0
against the claim
Ha: μboys − μgirls ≤ 0
2) The significance level is set at 0.01
3) The critical region is z ≤ ± 1.28
4) The test statistic
Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]
Here p1= 397/768= 0.5169 and p2= 331/745=0.4429
pc = 397+331/768+745
pc= 0.4811
qc= 1-pc= 1-0.4811=0.5188
5) Calculations
Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]
z= 0.5169-0.4429/√ 0.4811*0.5188( 1/768+ 1/745)
z= 2.82
6) Conclusion
Since the calculated value of z= 2.82 does not lie in the critical region the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.
7)
The value of p is 0 .00233. The result is significant at p < 0.10.
what is It is believed that the early settlers of the Pacific Islands originally migrated from __________.
A.
Europe
B.
Australia
C.
Southeast Asia
D.
Central Asia
Please select the best answer from the choices provided
ill give brainliest
Answer:South Asia-C
Step-by-step explanation:
gaged
Answer:
C, Southeast Asia