If h(x) = x - 7 and g(x) = x^2 , which expression is equivalent to (gOh)(5)?

Consider randomly selecting a single individual and having that person test drive 3 different vehicles. Define events A1, A2, an

zmey [24]

a. Use the inclusion/exclusion principle.

$P(A_1\cap A_2)=P(A_1)+P(A_2)-P(A_1\cup A_2)=0.55+0.65-0.80=0.40$

b. By definition of conditional probability,

$P(A_2\mid A_3)=\dfrac{P(A_2\cap A_3)}{P(A_3)}=\dfrac{0.50}{0.70}\approx0.7143$

4 0

2 years ago

To solve work problems, find the portion of the job each person completes in 1 unit of time. The sum of these portions is the po

Gwar [14]

Answer:

4.8 minutes

Step-by-step explanation:

Using the given hint, working together, the amount of floor mopped in 1 minute is ...

1/8 + 1/12 = 3/24 +2/24 = 5/24 . . . . jobs/minute

The reciprocal of that is the rate in terms of minutes per job. Thus the entire job takes 24/5 = 4.8 minutes.

6 0

3 years ago

What is an explicit equation?

artcher [175]

An explicit equation is an equation used to find a term in a sequence without using the any previous terms. For example, if I have the set of numbers 1, 3, 5, 7, 9, my explicit equation is F(n)=2(n-1)+1. If I plug 1 in for n, I get F(1)= 2(0)+1, which is 1, my first term.

Hope this made sense.

4 0

3 years ago

Find m<1 in the rhombus below

Margarita [4]

Answer:

$m \angle \: 1 = 120 \degree$

Step-by-step explanation:

Given figure is of a rhombus.

Measures of the opposite angles of a rhombus are equal.

Therefore,

$m \angle \: 1 = 120 \degree$

6 0

2 years ago

You plan on financing a new road bike for $2,500. The bike shop offers a 13.5% APR for a 24 month loan. Use this information, an

Mila [183]

This question can be approached using the present value of annuity formula. The present value of annuity is given by $PV=P\left( \frac{1-\left(1+ \frac{r}{t} \right)^{-nt}}{ \frac{r}{t} } \right)$ , where: PV is the present value/amount of the loan, P is the periodic (monthly in this case) payment, r is the APR, t is the number of payments in one year and n is the number of years.

Given that the<span> financing is for a new road bike of $2,500 and that the bike shop offers a 13.5% APR for a 24 month loan.

Thus, PV = $2,500; r = 13.5% = 0.135; t = 12 payments (since payment is made monthly); n = 2 years (i.e. 24 months)

Thus,

</span> $2500=P\left( \frac{1-\left(1+ \frac{0.135}{12} \right)^{-2\times12}}{ \frac{0.135}{12} } \right) \\ \\ =P\left( \frac{1-\left(1+ 0.01125 \right)^{-24}}{ 0.01125 } \right)=P\left( \frac{1-\left(1.01125 \right)^{-24}}{ 0.01125 } \right) \\ \\ =P\left( \frac{1-0.764531}{ 0.01125 } \right)=P\left( \frac{0.235469}{ 0.01125 } \right)=20.9306P \\ \\ \Rightarrow P= \frac{2500}{20.9306} =119.44$
<span>
Therefore, his monthly payment is $119.44</span>

6 0

3 years ago