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Agata [3.3K]
3 years ago
14

henry has a fair number pyramid with four faces and a spinner with three equal size colored section. the possible outcomes for e

ach are shown below. what is the probability that the number pyramid will land on 3 and the spinner will stop on blue
Mathematics
1 answer:
Leya [2.2K]3 years ago
8 0
Assuming the pyramid is numbered 1 to 4 and there are 3 colors on the spinner, the probability of landing on 3 and blue is 1/12.

To find the combined probability, we just multiply the 2 individual probabilities.

P(3) = 1/4
P(blue) = 1/3

1/4 x 1/3 = 1/12
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Write a polynomial that represents the length of the rectangle<br><br> help please !!
disa [49]

Answer:

\textsf{Length}=0.8x^2-0.7x+0.7\quad \sf units

Step-by-step explanation:

Area of a rectangle = width × length

Therefore, to find the length of the rectangle, we need to divide the area by the width.

Using long division:

\large\begin{array}{r}0.8x^2-0.7x+0.7\phantom{)} \\x+0.5{\overline{\smash{\big)}\,0.8x^3-0.3x^2+0.35x+0.35\phantom{)}}}\\-~\phantom{(}\underline{(0.8x^3+0.4x^2)\phantom{-b))))))))))))))}}\\0-0.7x^2+0.35x+0.35\phantom{)}\\ \underline{-~\phantom{()}(-0.7x^2-0.35x)\phantom{-b)))))}}\\ 0.7x+0.35\phantom{)}\\\underline{-~\phantom{()}(0.7x-0.35)}\\ 0\phantom{)}\end{array}

Therefore, the <u>length</u> of the rectangle is:

0.8x^2-0.7x+0.7

5 0
2 years ago
It is 9:00. What is the measure of the smaller angle between the hour hand
Ksivusya [100]

Answer:

The hour hand is three-fourths of the way from the "4" to the "5; that is, ... What is the angle between the hour hand and the minute hand at 4:40? ... What is the measure of the smaller angle formed by the hands of an analog watch if the hour hand is on the ... One has to account, however, for the 10 minutes that have passed.Step-by-step explanation:

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3 years ago
Allison and her children went into a bakery where they sell donuts for $2 each and cookies for $1 each. Allison has $20 to spend
KATRIN_1 [288]

Answer:

if donuts are 2 for each and cookies for 1 each it could be

X x 2 and X x 1

one equation could be 4 donuts for 2$ and 7 cookies for 1$

8 0
3 years ago
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Usimov [2.4K]
<span>5t=3b+660....and ... 2t+5b=450

from the first we can see that t=(3b+660)/5 and using this value in the second...

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b=30...and since 2t+5b=450

t=150</span>
4 0
3 years ago
To begin a bacteria study, a petri dish had 2800 bacteria cells. Each hour since, the number of cells has increased by 7.2%. Let
Rudiy27
The function that models exponential growth is:

P(t) = P0*(1 + r)^t, where

P0 = P(0) is the initial value of P

r is the growth rate as a decimal

In our case we have:

P(0) = 2800

r = 0.035 or 3.5%

P(t) = 2800*(1 + 0.035)^t

P(t) = 2800*(1.035)^t

The same exponential function written using y and t is:

y = 2800*1.035^t.

Explanation: https://softmath.com/algebra-word-problems/to-begin-a-bacteria-study-a-petri-dish-had-2800-bacteria
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