Ask question

Ask question

All categories

gizmo_the_mogwai [7]

2 years ago

10

Amir lent Rs. 600 to Hameed for 2 yrs and Rs.150 to Aman for 4 yrs and recievd altogether from both rs.90 as simple intrest.The

rate of intrest is?

1 answer:

Alja [10]2 years ago

5 0

600 *2*x + 150*4*x = 90

1200x + 600x = 90

1800x = 90

x = 90/1800 = 0.05

x = 5%

Answer: rate of interest = 5%

You might be interested in

Function ggg can be thought of as a scaled version of f(x)=x^2f(x)=x 2 f, left parenthesis, x, right parenthesis, equals, x, squ

emmainna [20.7K]

Answer:

g(x)=15/20 x^2

Step-by-step explanation:

write 15/20 as a fraction then x^2 comes after it

I took the khan test and aced it

5 0

2 years ago

Read 2 more answers

PLEASE HELP! A horse-drawn carriage tour company has found that the number of people that take their tour depends on the price c

Natasha_Volkova [10]

A is the correct answers

8 0

2 years ago

Paul and jose are trying to measure the height of a tree. paul is standing 19m from the foot of the tree and measures the angle

Nina [5.8K]

The firts thig we are going to do is create tow triangles using the angles of elevation of Paul and Jose. Since the problem is not giving us their height we'll assume that the horizontal line of sight of both of them coincide with the base of the tree.
We know that Paul is 19m from the base of the tree and its elevation angle to the top of the tree is 59°. We also know that the elevation angle of Jose and the top of the tree is 43°, but we don't know the distance between Paul of Jose, so lets label that distance as $x$ .
Now we can build a right triangle between Paul and the tree and another one between Jose and the tree as shown in the figure. Lets use cosine to find h in Paul's trianlge:
$cos(59)= \frac{19}{h}$
$h= \frac{19}{cos(59)}$
$h=36.9$
Now we can use the law of sines to find the distance $x$ between Paul and Jose:
$\frac{sin(43)}{36.9} = \frac{sin(16)}{x}$
$x= \frac{36.9sin(16)}{sin(43)}$
$x=14.9$

Now that we know the distance between Paul and Jose, the only thing left is add that distance to the distance from Paul and the base of the tree:
$19m+14.9=33.9m$

We can conclude that Jose is 33.9m from the base of the tree.

3 0

2 years ago

A sociologist wishes to estimate the average number of automobile thefts in a large city per day within 2 automobiles. He wishes

anzhelika [568]

Answer:

$n=(\frac{2.58(4.2)}{2})^2 =29.35 \approx 30$

So the answer for this case would be n=30 rounded up to the nearest integer

Step-by-step explanation:

Information given

$ME = 2$ the margin of error desired

$\sigma =4.2$ standard deviation from previous studies

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =2 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance level is $\alpha=0.01$ and the critical value would be $z_{\alpha/2}=2.58$ , replacing into formula (b) we got:

$n=(\frac{2.58(4.2)}{2})^2 =29.35 \approx 30$

So the answer for this case would be n=30 rounded up to the nearest integer

5 0

1 year ago

Your friend likes to show off to his coworkers using statistical terminology, but he makes errors so much that you often have to

nexus9112 [7]

Answer:

Option d: Your friend is wrong, the statement should be revised as "the probability of obtaining a sample mean of 105 or more extreme from a random sample of n = 40 when the true population mean is assumed to be 100."

Step-by-step explanation:

We are given;

Null hypothesis; H0 : μ = 100

Alternative hypothesis; HA : μ ≠ 100

Sample mean; x = 105

Sample standard deviation; s = 10

Sample size; n = 40

p - value = 0.0016

Looking at the options, the first option is wrong because the sample size is not irrelevant her since it's more than 30.

The second option can't be correct because they just told us he is right without giving explanation.

The third option is wrong because 100 is the true population mean and not 150.

Thus we are left with Option D as the correct answer.

8 0

1 year ago