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Lana71 [14]
1 year ago
5

Wyatt went to soda city to get vegetables for herself and her friends. She collected $30 and boxes are $10 each. Fill in the equ

ation that represents the relationship between her total budget and the number of boxes (b) of the veggies she can buy $__ = $__ b
Mathematics
1 answer:
sergey [27]1 year ago
7 0

Answer:

Budget = 3 b

Step-by-step explanation:

Given

Budget = \$30

Cost\ of\ box (b) = \$10

Required

Represent as an equation;

Budget = \$30

Expand the above

Budget = 3 * \$10

<em>Recall that b = $10 ----given</em>

Budget = 3 * \$10 becomes

Budget = 3 * b

Budget = 3 b

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En una cancha se va a pintar la circunferencia central que tiene un diámetro de 5 m .¿cual es la longitud de la circunferencia?
Alona [7]

Answer:

The length of the circumference is 5\pi\ m  or 15.70\ m

Step-by-step explanation:

<u><em>The question in English is</em></u>

On a court, the central circumference will be painted, which has a diameter of 5 m. What is the length of the circumference?

we know that

The circumference of a circle is given by the formula

C=\pi D

we have

D=5\ m

substitute

C=\pi (5)\\C=5\pi\ m

This is the exact value

assume

\pi=3.24

C=5(3.14)=15.70\ m

4 0
1 year ago
The article "Expectation Analysis of the Probability of Failure for Water Supply Pipes"† proposed using the Poisson distribution
oksian1 [2.3K]

Answer:

a. P(X ≤ 5) = 0.999

b. P(X > λ+λ) = P(X > 2) = 0.080

Step-by-step explanation:

We model this randome variable with a Poisson distribution, with parameter λ=1.

We have to calculate, using this distribution, P(X ≤ 5).

The probability of k pipeline failures can be calculated with the following equation:

P(k)=\lambda^{k} \cdot e^{-\lambda}/k!=1^{k} \cdot e^{-1}/k!=e^{-1}/k!

Then, we can calculate P(X ≤ 5) as:

P(X\leq5)=P(0)+P(1)+P(2)+P(4)+P(5)\\\\\\P(0)=1^{0} \cdot e^{-1}/0!=1*0.3679/1=0.368\\\\P(1)=1^{1} \cdot e^{-1}/1!=1*0.3679/1=0.368\\\\P(2)=1^{2} \cdot e^{-1}/2!=1*0.3679/2=0.184\\\\P(3)=1^{3} \cdot e^{-1}/3!=1*0.3679/6=0.061\\\\P(4)=1^{4} \cdot e^{-1}/4!=1*0.3679/24=0.015\\\\P(5)=1^{5} \cdot e^{-1}/5!=1*0.3679/120=0.003\\\\\\P(X\leq5)=0.368+0.368+0.184+0.061+0.015+0.003=0.999

The standard deviation of the Poisson deistribution is equal to its parameter λ=1, so the probability that X exceeds its mean value by more than one standard deviation (X>1+1=2) can be calculated as:

P(X>2)=1-(P(0)+P(1)+P(2))\\\\\\P(0)=1^{0} \cdot e^{-1}/0!=1*0.3679/1=0.368\\\\P(1)=1^{1} \cdot e^{-1}/1!=1*0.3679/1=0.368\\\\P(2)=1^{2} \cdot e^{-1}/2!=1*0.3679/2=0.184\\\\\\P(X>2)=1-(0.368+0.368+0.184)=1-0.920=0.080

4 0
1 year ago
Evaluate <br> 17.3<br> % of <br> 45.94<br> km<br> Give your answer rounded to 2 DP.
Katyanochek1 [597]

Answer: 17.3% of 45.94 km is 7.95 km

4 0
1 year ago
Mr. Stephens uses 100 N of force to push the snake tank straight up 2 meters.
ArbitrLikvidat [17]
What is the question?
8 0
2 years ago
Determine the number of atoms in<br> 98.3 g mercury, Hg
Arisa [49]
The answer is 2.95 × 10²³ atoms

Atomic mass is 200.59 g.
So, 1 mole has 200.59 g. Let's calculate how many moles have 98.3 g:
1M : 200.59g = x : 98.3g
x = 98.3 g * 1 M : 200.59 g = 0.49 M

To calculate this, we will use Avogadro's number which is the number of units (atoms, molecules) in 1 mole of substance:

6.023 × 10²³ atoms per 1 mole
<span>How many atoms are in 0.49 mole:
</span>6.023 × 10²³ atoms : 1M = x : 0.49M
x = 6.023 × 10²³ atoms : 1M * 0.49M = 2.95 × 10²³ atoms
8 0
2 years ago
Read 2 more answers
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