Answer:
The amount of the loan Mr. Tan borrowed was $ 287,000.
Step-by-step explanation:
Since Mr. Tan bought a house for $ 410,000, paying a deposit of 30% of its value and requesting a loan for the rest of its value, to determine the amount of the loan, the following calculation is required:
100 - 30 = 70
410,000 x 0.70 = X
287,000 = X
Therefore, the amount of the loan Mr. Tan borrowed was $ 287,000.
please please please help me i’ll mark brainliest
Given:
The graph of a function f(x).
To find:
The solution set for f(x)>0 and f(x)≤0.
Solution:
From the given graph it is clear that, the function intersect the x-axis at 3 points, i.e., x=-4, -3 and -2.
The graph is above the x-axis before -4 and between -3 and -2.
So, the solution set for f(x)>0 is [tex](-\infty,-4)\cup (-3,-2)[/tex].
The graph is below the x-axis between -4 and -3; and after -2. For f(x)≤0, those values are in the solution set for which f(x)=0, i.e., x-intercepts. So, we use close brackets in the interval notation.
So, solution set for f(x)≤0 is [tex][-4,-3]\cup [-2,\infty)[/tex].
Suppose babies born in a large hospital have a mean weight of 3831 grams, and a variance of 108,900. If 65 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams
Answer:
the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams is 0.7284
Step-by-step explanation:
Given that
mean weight = 3831 grams,
variance = 108,900
sample size n = 65
the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams = ?
Now standard error of mean = √( 108900 / 65 ) = 40.9314
z = +/- (45/40.9314)
z = +/-1.0994
so
P( -1.0994 <z< 1.0994 ) = P( z<1.0994 ) - (p<-1.0994 )
= 0.8642 - 0.1358
= 0.7284
Therefore the probability that the mean weight of the sample babies would differ from the population mean by less than 45 grams is 0.7284
X3.1.PS-7
Question
A local little league has a total of 60 players, of whom 40% are right-handed. How many
right-handed players are there?
It is approximately 32 miles from Dallas to Fort Worth.
Which number sentence could be used to find f, the number
of feet from Dallas to Ft. Worth.
(A) 1760 x 1/32 = f; because the scale factor is 5280
(B) 32 x 1760 = f; because the scale factor is 5280.
(C)5280 x 1/32 = f; because the scale factor is 5280.
(D)32 x 5280 = f; because the scale factor is 5280.
HELPPPPPPPPPPP APPARENTLY MY ANSWER WAS WRONG
Answer:
d= -12 + 925
Step-by-step explanation:
decrease means negative and Increase means up (positive) so probably that why your answer was wrong
Answer:
d= -12 + 925
Step-by-step explanation:
Which operation should be done first in the
expression shown below?
3-5+4 + 2 x 6
Answer:
2x6
Step-by-step explanation:
Answer:
Do multiplications first, then simplify the equation from left to right. Therefore, your answer should be 18.
Step-by-step explanation:
3 - 5 + 4 + 2 × 6
= 3 - 5 + 4 + 12
= 2 + 4 + 12
= 6 + 12
= 18
Help pls and thank you!
Answer:
120 such cubes could fit in the prism.
Step-by-step explanation:
Volume of prism = length × breadth × height
[tex] = \frac{5}{3} \times \frac{4}{3 } \times 2[/tex]
[tex] = \frac{40}{9} cm {}^{3} [/tex]
___________________________________
Volume of cube = a³
[tex] = ( \frac{1} {3}) {}^{3} [/tex]
[tex] = \frac{ {1}^{3} }{ {3}^{3} } [/tex]
[tex] = \frac{1}{27} cm {}^{ 3} [/tex]
____________________________________
[tex] \frac{40}{9} \div \frac{1}{27} [/tex]
[tex] \frac{40}{9} \times 27[/tex]
[tex]40 \times 3[/tex]
120
Juanita drive 40 miles in 48 minutes At this rate, she will drive _______ miles in 6 minutes
I really need to know what a dependent variable is. Can anyone explain better that google?
Answer:
A variable that depends on one or more other variables. For equations such as y = 3x – 2, the dependent variable is y. The value of y depends on the value chosen for x. Usually the dependent variable is isolated on one side of an equation.
Step-by-step explanation:
a owner increases the rent office house by 5% at end of each year if current its rent is ₹2500pm how much will be the rent after two years
Answer:
2950$
Step-by-step explanation:
2500×5%=125$
125×2=250$
2500+250=3960$
What is 4501/5 equaled to?
900.2 or 900 1/5
My Step-by-step explanation~basically just divide4501 ÷ 5
=
900.2
then convert to fraction or leave as is900 1/5
-------------------------------------------------------------------------------------------------
Answer:
It would be 900.2
hope this hepled! :)
Can you help find which are functions?
Answer:
A and C are Functions
Step-by-step explanation:
They pass the vertical line test.
The way you know if a set of coordinates are not a function is if they have multiple points that have the same Y value.
The diagram shows a round fountain surrounded by a circular path. The radius of the fountain is v7 yards, and the distance from the center of
the fountain to the outer edge of the path is 56 yards.
The estimated area of the fountain is
square yards, and the estimated area of the path is square yards
Can someone please help me!!!
Answer:
The first drop down box, I'm pretty sure its the second one
Step-by-step explanation:
Answer:
The guy up there is right so the answer, first one is 147.58 and the second one is 28.26
Step-by-step explanation:
Two accounting professors decided to compare the variance of their grading procedures. To accomplish this, they each graded the same 10 exams, with the following results:
Mean Grade Standard Deviation
Professor 1 79.3 22.4
Professor 2 82.1 12.0
What is the alternate hypothesis?
Answer:
Alternative hypothesis:
[tex]\mathbf{H_a = \sigma_1^2 \ne \sigma_2^2}[/tex]
Step-by-step explanation:
Given that:
Sample 1:
Sample size [tex]n_1[/tex] = 10
Sample mean [tex]\overline x_1[/tex] = 79.3
Standard deviation [tex]\sigma_1[/tex] = 22.4
Sample 2:
Sample size [tex]n_2[/tex] = 10
Sample mean [tex]\overline x_2[/tex] = 82.1
Standard deviation [tex]\sigma_2[/tex] = 12.0
To find the alternative hypothesis.
The null and alternative hypothesis can be computed as follows:
Null hypothesis:
[tex]\mathbf{H_o = \sigma_1^2 = \sigma_2^2}[/tex]
Alternative hypothesis:
[tex]\mathbf{H_a = \sigma_1^2 \ne \sigma_2^2}[/tex]
Since, alternative hypothesis is ≠, it shows that it is a two tailed test.
please help me if you get it right i will give you
Answer:
6(2 + 7)
Step-by-step explanation:
GFC of 12 and 42: 6Divide in steps 3 and 4 below12 ÷ 6 = 242 ÷ 6 = 7Re-write the expression: 6(2 + 7)I hope this helps!
A dressmaker has 75 yards of lace . It takes 1 1/2 yards of lace to decorate one pocket . How many pockets can she decorate with the lace she has
Answer:
50 pockets
Step-by-step explanation:
Given
[tex]Total = 75\ yd[/tex]
[tex]Pocket = 1\frac{1}{2}yd[/tex]
Required
Determine the number of pockets
To calculate the required , we make use of:
[tex]Pockets = \frac{75yd}{1\frac{1}{2}yd}}[/tex]
[tex]Pockets = \frac{75}{1\frac{1}{2}}}[/tex]
Convert the denominator to decimal
[tex]Pockets = \frac{75}{1.5}[/tex]
[tex]Pockets = 50[/tex]
Hence, she can lace 50 minutes
What does x = if x multiplied by 7/3 = 1
Answer:
Step-by-step explanation:
X×7/3 =1
X=3/7
Equation for (-2,-5) and (1,-3) in slope-intercept form
Answer:
y=2/3x-11/3
Step-by-step explanation:
First, find the slope.
m= y2-y1/x2-x1
-3+5/1+2 = 2/3
Slope is 2/3
Now, pick one of the coordinates and use that and the slope to put it in point-slope form.
Point slope form: y-y1=m(x-x1)
Let's use (1,-3)
y+3=2/3(x-1)
Distribute 2/3 to (x-1) and simplify to get the equation in slope-intercept form.
y+3=2/3x-2/3
y=2/3x-11/3
Answer:
y=2/3x-11/3
Step-by-step explanation:
use slope formula and slope intercept form. y=mx+b
There are 120 boys in Morris middle school. What is the total number
students in Morris middle school?
Answer:
121
Step-by-step explanation:
trust me i got you wuth that 2016 throwback
A fruit stand has to decide what to charge for thier produce. They need $10 for 4 apples
Answer:
$10 = 4x
Step-by-step explanation:
The "x" would represent how much the apples would cost. So next you would divide both sides by 4x and then it would leave you with 2/5.
[tex] \frac{1}{ax} - \frac{1}{bx} = 1[/tex]
can someone ease explain how this is possible. right now I have tried everything from the back of my head and nothing seems to work. Thanks!
Answer:
x= 1/a-1/b
Step-by-step explanation:
use math.way
The answer to your question is 1 because:
'ax' and 'bx' have no values, they are missing numbers.
We have to cancel out one 1, and our answer is 1.
Carry on Learning!
PLS HELP PLS THE LAST QUESTION I ASKED PLSSSSS
Answer:
Okay nvm I have found it here is your graph I don't what type of graph you need so i will provide you with 2 of my choosings
Step-by-step explanation:
At a shelter, 35% of the dogs are puppies. There are 200 at the shelter. How many are puppies?
Answer:
Step-by-step explanation:
Percentage of purebred dogs in shelters: 25% Number cats and dogs adopted from shelters each year: 4 million. Percentage of cats euthanized in shelters: 70% Percentage of total shelter intake comprised of cats: Approximately 50% (but in some regions 2/3 of shelter population is cats)
Answer:
70 puppies
Step-by-step explanation:
Find 10% which is 200÷10=20
20*3=60=30%
20÷2=10=5% so 60+10=70 puppies
What is the most profound problem in maths?
No answer needed, just take the points.
Answer:
SWEEEET!!
Step-by-step explanation:
:D
Answer:thx so much I needed them
Step-by-step explanation:
help im stressing and crying
Doug hits a baseball straight towards a 15 ft high fence that is 400 ft from home plate. The ball is hit 2.5ft above the ground and leaves the bat at an angle of 30∘ with the horizontal. Find the minimum initial velocity needed for the ball to clear the fence.
Answer:
[tex]125.4\ \text{m/s}[/tex]
Step-by-step explanation:
u = Initial velocity of baseball
[tex]\theta[/tex] = Angle of hit = [tex]30^{\circ}[/tex]
x = Displacement in x direction = 400 ft
y = Displacement in y direction = 15 ft
[tex]y_0[/tex] = Height of hit = 2.5 ft
[tex]a_y[/tex] = g = Acceleration due to gravity = [tex]32.2\ \text{ft/s}^2[/tex]
t = Time taken
Displacement in x direction
[tex]x=u_xt\\\Rightarrow x=u\cos\theta t\\\Rightarrow t=\dfrac{x}{u\cos\theta}\\\Rightarrow t=\dfrac{400}{u\cos30^{\circ}}\\\Rightarrow t=\dfrac{400}{u\dfrac{\sqrt{3}}{2}}\\\Rightarrow t=\dfrac{800}{u\sqrt{3}}[/tex]
Displacement in y direction
[tex]y=y_0+u_yt+\dfrac{1}{2}a_yt^2\\\Rightarrow y=y_0+u\sin\theta t+\dfrac{1}{2}a_yt^2\\\Rightarrow 15=2.5+u\sin30^{\circ}(\dfrac{800}{u\sqrt{3}})+\dfrac{1}{2}\times -32.2\times (\dfrac{800}{u\sqrt{3}})^2\\\Rightarrow \dfrac{400}{\sqrt{3}}-\dfrac{10304000}{3u^2}-12.5=0\\\Rightarrow 218.44=\dfrac{10304000}{3u^2}\\\Rightarrow u=\sqrt{\dfrac{10304000}{3\times218.44}}\\\Rightarrow u=125.4\ \text{m/s}[/tex]
The minimum initial velocity needed for the ball to clear the fence is [tex]125.4\ \text{m/s}[/tex]
Which is the graph of the equation y-1 =
-1 =3(x-3)?
10
6.
-4.
(34)
2.
-10-85--22
2488 10x
-4
-6.
-8.
10
morang
Answer: 60
Just put 60 :)
Q = x^2 - 15x + 56 = 0
Answer:
x = 8
x = 7
Step-by-step explanation:
Solving x2-15x+56 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 1
B = -15
C = 56
Accordingly, B2 - 4AC =
225 - 224 =
1
Applying the quadratic formula :
15 ± √ 1
x = —————
2
So now we are looking at:
x = ( 15 ± 1) / 2
Two real solutions:
x =(15+√1)/2= 8.000
or:
x =(15-√1)/2= 7.000
please answer this :(
Answer:
X+2 metres. Just use a^+2ab+b^2
What is 8(3 + a) = 64
a =
Answer: a = 3
Step-by-step explanation: