Ask question

Ask question

All categories

2 years ago

14

Xavier is saving to purchase a new television that costs $483. He has $227 in his bank account. He deposits an additional $130 a

nd will save equal amounts over the next six weeks. How much does he need to save each week to buy the television?

1 answer:

inn [45]2 years ago

7 0

$18 each week for 6 weeks.

You might be interested in

Based on a survey, assume that 43% of consumers are comfortable having drones deliver their purchases. Suppose we want to find

svlad2 [7]

Answer:

The probability of getting two consumers comfortable with drones is 0.3424.

Step-by-step explanation:

The probability that a consumer is comfortable having drones deliver their purchases is, <em>p</em> = 0.43.

A random sample of <em>n</em> = 5 consumers are selected, and exactly <em>x</em> = 2 of them are comfortable with the drones.

To compute the probability of getting two consumers comfortable with drones followed by three consumers not comfortable, we will use the Binomial distribution instead of the multiplication rule to find the probability.

This is because in this case we need to compute the number of possible combinations of two consumers who are comfortable with drones.

So, <em>X</em> = number of consumers comfortable with drones, follows a Binomial distribution with parameters <em>n</em> = 5 and <em>p</em> = 0.43.

Compute the probability of getting two consumers comfortable with drones as follows:

$P(X=x)={5\choose x}\ 0.43^{x}\ (1-0.43)^{5-x};\ x=0,1,2,3...$

$P(X=2)={5\choose 2}\ 0.43^{2}\ (1-0.43)^{5-2}$

$=10\times 0.1849\times 0.185193\\=0.342421857\\\approx 0.3424$

Thus, the probability of getting two consumers comfortable with drones is 0.3424.

4 0

3 years ago

3. <br> Which is the graph of the function y = 2(4)x?

valentinak56 [21]

This would simply be y=8x. Which is not one of the options. Are you sure that is the function?

3 0

2 years ago

Read 2 more answers

A recipe calls for 120 mL of milk for each 200 g of flour.Juan is going to use 1 pound of flour. Estimate the number cups of mil

Ratling [72]

Answer:

<u>1 cup</u> of milk Juan should use.

Step-by-step explanation:

Given:

A recipe calls for 120 ml of milk for each 200 g of flour.

Juan is going to use 1 pound of flour.

Now, to estimate the number of cups of milk.

Let the quantity of milk be $x.$

Now, to convert the pound of flour to gram.

1 pound = 453.59 g.

So, Juan is going to use 453.59 g of flour.

As, given recipe calls for 120 ml of milk for each 200 g of flour.

So, 120 ml is equivalent to 200 g.

Thus, $x$ is equivalent to 453.59 g.

Now, to solve by using cross multiplication method:

$\frac{120}{200} =\frac{x}{453.59}$

By cross multiplying we get:

$54430.8=200x$

Dividing both sides by 200 we get:

$272.154=x$

$x=272.154$

The quantity of milk = 272.154 ml.

Now, converting the quantity into cups by conversion factor:

1 ml = 0.004 cup.

So, 272.154 ml of milk is:

272.154 × 0.004

=1.088 cups.

Estimating the number = 1 cup.

Therefore, 1 cup of milk Juan should use.

7 0

3 years ago

The longest diagonal

Ratling [72]

The diagonals are:
diagonal₁=2x+3y
diagonal₂=(x+8)+(2y+5)
We have to solve the following system of equations:
2x=3y
(x+8)=(2y+5)
We solve this system by substitution method:
2x=3y ⇒x=3y/2

(3y/2 +8)=2y+5
3y+16=4y+10
-y=-6
y=6

x=3y/2=3*6/2=9

we obtain the measure of the diagonals:
diagonal₁=2x+3y=2*9+3*6=18+18=36
diagonal₂=(x+8)+(2y+5)=(9+8)+(2*6+5)=17+17=34

Answer: The longest diagonal is 36 units.

8 0

3 years ago

What is a randomized controlled trial?

mr_godi [17]

Answer:

Definition. A study design that randomly assigns participants into an experimental group or a control group. As the study is conducted, the only expected difference between the control and experimental groups in a randomized controlled trial (RCT) is the outcome variable being studied.

Step-by-step explanation:

because

3 0

3 years ago

Read 2 more answers