Which of these shows the result of using the first equation to substitute for y

What is /frac{3}{125} of 1875t

barxatty [35]

$\dfrac{3}{125} \times 1875t =$

$= \dfrac{3 \times 1875}{125} t$

$= 3 \times 15 \times t$

$= 45t$

7 0

3 years ago

Jenny started with $5 in her piggy bank and earns an

alina1380 [7]

Answer:

x = 3 days y = $7

Step-by-step explanation:

7 0

2 years ago

The manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean s

Tcecarenko [31]

Answer:

The most appropriate null hypothesis for this situation is

$H_0$ : The mean sales volume is equal to 24.

the most appropriate alternative hypothesis for this situation is

$H_a$ : The mean sales volume is greater than 24.

Step-by-step explanation:

The null hypothesis $H_0$ is the fact that is established and consider as true fact.

Since the established mean sales volume is 24 automobiles per month this should be considered as the null hypothesis.

So, the most appropriate null hypothesis for this situation is

$H_0$ : The mean sales volume is equal to 24

The alternative hypothesis is a fact that intends to reject or refute the null by collecting data that could contradict it.

In this case, since the manager wants to conduct a research study to see whether the new bonus plan increases sales volume, he wants to see if the data collected after the new bonus plan can show that the new average is greater than the established one.

So, the most appropriate alternative hypothesis for this situation is

$H_a$ : The mean sales volume is greater than 24.

To try and prove that $H_a$ shows enough evidence as to assure the new plan actually increases sales volume, he must fix a significance level $\alpha$ , for example 0.1 or 0.05, which gives the probability that $H_a$ is not wrong in case that it rejects $H_0$ .

This confidence level defines an $\alpha$ -score $z_\alpha$ which is a point such that the area under the normal curve N(0;1) to the right of $z_\alpha$ is less than $\alpha$ .

In this case we considered the right side because you want to see the new average is greater than the established one.

If the z-score obtained through the sample is greater than $z_\alpha$ then you can say the new bonus actually increases sales.

If the z-score obtained through the sample is less than or equals to $z_\alpha$ then you do not have enough evidence showing that the new bonus actually increases sales.

6 0

3 years ago

What is the value of cosθ given that (−2, −3) is a point on the terminal side of θ ?

snow_tiger [21]

Answer:

-0.555

Step-by-step explanation:

The terminal point of the vector in this problem is

(-2,-3)

So, it is in the 3rd quadrant.

We want to find the angle $\theta$ that gives the direction of this vector.

We can write the components of the vector along the x- and y- direction as:

$v_x = -2\\v_y = -3$

The tangent of the angle will be equal to the ratio between the y-component and the x-component, so:

$tan \theta = \frac{v_y}{v_x}=\frac{-3}{-2}=1.5\\\theta=tan^{-1}(1.5)=56.3^{\circ}$

However, since we are in the 3rd quadrant, the actual angle is:

$\theta=180^{\circ} + 56.3^{\circ} = 236.3^{\circ}$

So now we can find the cosine of the angle, which will be negative:

$cos \theta = cos(236.3^{\circ})=-0.555$

7 0

3 years ago

Answer the following Question

anastassius [24]

Answer:

a)$15.95

b) 8kg

Step-by-step explanation:

a)Approach this question by finding how much does it cost for 1g

So,

$2.1/50=$0.042per gram

then, multiple 380 to get the cost of sweets for 380 g

$0.042/gram*380gram=$15.96(Note: the gram cancel out each other)

Which is $15.95 as the question requested

b)This question stated that 3/4 of the metal has 15 kg

So, in order to find the total mass of metal we invert the 3/4 fraction

e.g 4/3*15=20kg

now we have the total mass we can find the mass for 2/5 of the metal

2/5*20kg=8kg

3 0

3 years ago