Life, Inc., experienced the following events in Year 1, its first year of operation:

maurice bought a car costing £8248. he paid a deposit of £1975 and 6 monthly instalments of £511. estimate the amount maurice st

Maurinko [17]

Hello :D

£8000 - £2000 = £6000

6 x 500 = £3000

£6000 - £3000

3 0

2 years ago

The critical value t* gets larger as the confidence level increases. True or false?

posledela

Answer:

We can find the critical value $t_{\alpha/2}$

And for this case if the confidence increase the critical value increase so then this statement is True

Step-by-step explanation:

For a confidence level given c, we can find the significance level like this:

$\alpha=1 -c$

And with the degrees of freedom given by:

$df=n-1$

We can find the critical value $t_{\alpha/2}$

And for this case if the confidence increase the critical value increase so then this statement is True

5 0

3 years ago

Jonah is going to the store to buy candles. Small candles cost $2.50 and large candles cost $7.00. He needs to buy at least 20 c

artcher [175]

The system of linear inequalities are:

$a + b \geq 20\\\\2.50a + 7b\leq 80$

Solution:

Let "a" be the number of small candles bought

Let "b" be the number of large candles bought

He needs to buy at least 20 candles

Therefore, number of small candles and number of large candles bought must be at least 20

Thus, we frame a inequality as:

$a + b \geq 20$

"at least" means greater than or equal to

Here, we used "greater or equal to" symbol because, he can buy 20 candles or more than 20 candles also

From given,

Cost of 1 small candle = $ 2.50

Cost of 1 large candle = $ 7

He can spend no more than 80 dollars

Which means, he spend maximum 80 dollars or less than 80 dollars also

So we have to use "less than or equal to" symbol

Thus, we frame a inequality as:

Number of small candles bought x Cost of 1 small candle + number of large candles bought x Cost of 1 large candle $\leq$ 80

$a \times 2.50 + b \times 7 \leq 80\\\\2.50a + 7b\leq 80$

Thus the system of linear inequalities are:

$a + b \geq 20\\\\2.50a + 7b\leq 80$

3 0

3 years ago

F(x)=x cubed +3x squared -6x-8

svlad2 [7]

Answer: x = {-4, -1, 2}

Step-by-step explanation:

q p

F(x) = x³ + 3x² - 6x - 8

$\frac{p}{q} = +/- \frac{1, 2, 4, 8}{1}$

Possible rational roots are: +/- {1, 2, 4, 8}

F(1) = (1)³ + 3(1)² - 6(1) - 8

= 1 + 3 - 6 - 8

= -10 Since the remainder is not 0, then x = 1 is not a root

F(-1) = (-1)³ + 3(-1)² - 6(-1) - 8

= -1 + 3 + 6 - 8

= 0 Since the remainder is 0, x = -1 is a root.

Use synthetic division to find the remaining factor:

x = -1 → x + 1 = 0

-1 | 1 3 -6 -8

| ↓ -1 -2 8

1 2 -8 0

(x + 1)(x² + 2x - 8) = 0

Next, factor the polynomial:

(x + 1)(x + 4)(x - 2) = 0

x + 1 = 0 x + 4 = 0 x - 2 = 0

x = -1 x = -4 x = 2

6 0

3 years ago

Which expression is equivalent to c+2? c+2c 2c-2c+2 3c-3+c+1 4c+6-3c-4

Mashcka [7]

Your answer would be 4c + 6 - 3c - 4

This is because when you simplify, you get 4c - 3c = c, and 6 - 4 = 2, so combining the two terms gives you c + 2.

I hope this helps!

4 0

3 years ago