HELPPPPPPPPPPPPPPPPPP

Mathematics

2 answers:

Liono4ka [1.6K]3 years ago

5 0

The product of Diego's age and 9 is 162. 'product' is multiplication, 'is' means equal to. So we can write:

$\sf d\times 9=162$

or

$\sf 9d=162$

Nookie1986 [14]3 years ago

3 0

162 - 9 = 153.
d = 153.
Diego is old.

You might be interested in

Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gen

erma4kov [3.2K]

You need to use the binomial probability formula:
$p(k) = \frac{n!}{k!(n-k)!} p^{k} (1-p)^{n-k}$

where:
n = total number of events = 10
k = number of events we are testing = 6
p = probability of event happening = 0.5

$p(6) = \frac{10!}{6!(10-6)!} 0.5^{6} (1-0.5)^{10-6}$
= 210×0.015625×0.0625
= 0.205078

Hence, the probability of getting 6 boys out of 10 births is p = 0.205.

6 0

4 years ago

A principle of $3100 is invested at 6.5% interest, compounded annually. How much will the investment be worth after 12 years?

Tpy6a [65]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3100\\ r=rate\to 6.5\%\to \frac{6.5}{100}\dotfill &0.065\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &12 \end{cases} \\\\\\ A=3100\left(1+\frac{0.065}{1}\right)^{1\cdot 12}\implies A=3100(1.065)^{12}\implies A\approx 6600.198$

3 0

3 years ago

Read 2 more answers

Find the area of the rectangle, to the nearest hundredth, with a base of 5 inches and a height = 2.5 inches.

Juli2301 [7.4K]

The equation for the area of a rectangle is: A = bh, where A = area, b = length of base, and h = height.

You're told that the base, b = 5 in, and the height, h = 2.5 in. Plug these numbers into the equation to find the area:
A = bh
A = (5)(2.5)
A = 12.5 $in^2$

If you include the hundredth place, your answer would be 12.50 $in^2$ .

-------

Answer: 12.50 $in^2$

5 0

3 years ago

What theorem can be used to prove that the two triangles are similar?

kupik [55]

Hey!

Your answer will be:

Angle-Angle (AA) Similarity Postulate!

(Explanation) If two angles of one triangle are congruent to two angles of another, then the triangles must be similar.

6 0

3 years ago

Read 2 more answers

a grocer bought 8 boxes of apples. each box contains 35 apples and fewer than 40% of the aples in each box are green apples. fin

pantera1 [17]

You multiple or dive

8 0

4 years ago