Evaluate the dot product of (3,-1) and (1,5).<br><br> Answer here

What is th resulting true inequality

lorasvet [3.4K]

Answer:

10>-15

Step-by-step explanation:

The given inequality is:

-2<3

The inequality has to be multiplied by -5.

The multiplication is same as multiplying a normal equation with a number. The only difference is that the sign of inequality is changed when it is multiplied with a negative number.

So,

-2(-5) < 3(-5)

10>-15

So the correct answer is the last option ..

8 0

3 years ago

Bob Nale is the owner of Nale's Texaco GasTown. Bob would like to estimate the mean number of litres (L) of gasoline sold to his

Fudgin [204]

Answer:

a

The point estimate of the population mean is $\= x = 56$

b

The 80% confidence level is $50.57 < \mu < 61.43$

c

There is 80% confidence that the true population mean lies within the confidence interval.

Step-by-step explanation:

From the question we are told that

The sample size is n = 18

The standard deviation is $\sigma = 18 \ L$

The sample mean is $\= x = 56$

Generally the point estimate of the population mean is equivalent to the sample mean whose value is $\= x = 56$

Given that the confidence interval is 80% then the level of significance is mathematically represented as

$\alpha = 100 - 80$

$\alpha = 20 \%$

$\alpha = 0.20$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table

The value is $Z_{\frac{ \alpha }{2} } = 1.28$

Generally the margin of error is mathematically evaluated as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

=> $E = 1.28 * \frac{18 }{\sqrt{18} }$

=> $E = 5.43$

Generally the 80% confidence interval is mathematically represented as

$\= x - E < \mu < \= x + E$

=> $56 - 5.43 < \mu < 56 + 5.43$

=> $50.57 < \mu < 61.43$

The interpretation is that there is 80% confidence that the true population mean lies within the limit

3 0

3 years ago

15 boys are needed to build a wall in 40 days how many boys are required to build the wall in 30 days

bagirrra123 [75]

Step-by-step explanation:

40 days = 15 boys

1 day = 15/40 = 3/8

therefore,

30 days = 3/8 × 30

= 11.1/4 boys or 11.25boys

5 0

2 years ago

All three sides of a triangle are initially 5.0 long. One of the triangle's sides is oriented horizontally. The triangle is scal

zlopas [31]

Answer:

h = 3.62

Step-by-step explanation:

First, as both triangles have the same angles we can use the relationship of areas and sides corresponding to similar triangles as follows:

$relation\ between\ areas=( relation\ between\ sides)^2\\\frac{0.7A}{A}=(\frac{s}{5})^2\\s= 5\sqrt0.7= 4.18$

Now we know that the new triangle has sides of 4.18. Then, as these triangles are equilateral we can use the Pythagorean Theorem to find the height:

$4.18^2=h^2+(\frac{4.18}{2})^2\\h=\sqrt (4.18^2-2.09^2)=3.62 m\\h= 3.62$

Finally the height of this new triangle is 3.62 cm

6 0

3 years ago

B) Amount<br>Rs 5760, Interest<br>Rs 1526

Crazy boy [7]

Given :

Amount, A = 5760 Rs.

Interest in the amount, I = 1526 Rs.

To Find :

We need to find the % rate of interest.

Solution :

Let, us assume it is simple interest.

So,

$Interest = \dfrac{price \times rate \times time}{100}\\\\1526 = \dfrac{5760 \times r \times m}{100}\\\\r = \dfrac{152600}{5760m}\\\\r = \dfrac{26.5}{m}$

Hence, this is the required solution.

6 0

3 years ago

Evaluate the dot product of (3,-1) and (1,5). Answer here