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jok3333 [9.3K]
2 years ago
6

Simplify -19 + 13 + (-22)

Mathematics
2 answers:
Fudgin [204]2 years ago
6 0
19+13= 32 32/22 divide both by 2 and the answer is 15/11
Rudik [331]2 years ago
3 0
-19+13+(-22)=-19+13-22=13-(19+22)=13-41=\boxed{-28}
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If sin x = .52 and cos x = .85, what is cot x?
Eduardwww [97]

cot x = cos x / sin x

cot x = .85 / .52 = 1.6346

6 0
2 years ago
The weather forecast says that the probability of being cloudy tomorrow is 30% and the probability of raining is 25%. If it is c
Bumek [7]
<h3>Answer:</h3>

\large\boxed{C).\,13.5\%}

<h3>Step-by-step explanation:</h3>

In this question, we're trying to find the probability of it being cloudy and raining.

In this case, we know that:

  • Probability of it being cloudy is 30%
  • Probability of it raining is 25% (this is necessarily not needed)
  • If it's cloud, the probability of it raining is 45%

With the information above, we can find the probability.

We know that from a 100% scale, the chance of it being cloudy is 30%.

We know that if it's cloudy, the chances of raining is 45%

To find the probability of it being cloudy and raining, we would multiply 0.3 (30%) by 0.45 (45%)

Solve:

0.3*0.45=0.135\\\\\text{Move the decimal place two times to the right}\\\text{to turn it into a percent}\\\\\boxed{13.5\%}

Your answer would be C). 13.5%

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
6 0
2 years ago
Answers are highly appreciated!
Ksenya-84 [330]
C
Because I had this question
6 0
2 years ago
Read 2 more answers
Two 5-year girls, Alyse and Jocelyn, have been training to run a 1-mile race. Alyse's 1 mile time A is approximately Normally di
tatyana61 [14]

Answer:

1.7 × 10⁻⁴

Step-by-step explanation:

The question relates to a two sample z-test for the comparison between the means of the two samples  

The null hypothesis is H₀:  μ₁ ≤ μ₂

The alternative hypothesis is Hₐ: μ₁ > μ₂

z=\dfrac{(\bar{x}_1-\bar{x}_2)-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}}

Where;

\bar {x}_1 = 13.5

\bar {x}_2 = 12

σ₁ = 2.5

σ₂ = 1.5

We set our α level at 0.05

Therefore, our critical z = ± 1.96

For n₁ = n₂ = 23, we have;

z=\dfrac{(13.5-12)-(0)}{\sqrt{\dfrac{2.5^{2} }{23}-\dfrac{1.5^{2}}{23}}} = 3.5969

We reject the null hypothesis at α = 0.05, as our z-value, 3.5969 is larger than the critical z, 1.96 or mathematically, since 3.5969 > 1.96

Therefore, there is enough statistical evidence to suggest that Alyse time is larger than Jocelyn in a 1 mile race on a randomly select day and the probability that Alyse has a larger time than Jocelyn is 0.99983

Therefore;

The probability that Alyse has a smaller time than Jocelyn is 1 - 0.99983 = 0.00017 = 1.7 × 10⁻⁴.

8 0
3 years ago
Using the tree diagram what is the probability that a player will reach Level 2 with the bonus?
pentagon [3]
That is 0.3*0.3*0.3 = 0.027
6 0
3 years ago
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