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tigry1 [53]
3 years ago
12

Write an example of the distributive property.

Mathematics
2 answers:
aalyn [17]3 years ago
6 0
3(3x9)

 3x3=9
3x9=27
9+27=36
borishaifa [10]3 years ago
3 0
4 Times 1 5 Times 1 4 plus 5 is 9
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The population of a local species of dragonfly can be found using an infinite geometric series where a1=42 and the common ratio
san4es73 [151]
\bf \textit{sum of an infinite geometric serie}\\\\
\stackrel{for~~|r|\ \textless \ 1}{S=\sum\limits_{i=0}^{\infty}~a_1r^i\implies \cfrac{a_1}{1-r}}\qquad 
\begin{cases}
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=42\\
r=\frac{3}{4}
\end{cases}
\\\\\\
S=\cfrac{42}{1-\frac{3}{4}}\implies S=\cfrac{42}{\frac{1}{4}}\implies S=164

bearing in mind that, the geometric sequence is "convergent" only when |r|<1, or namely "r" is a fraction between 0 and 1.
3 0
3 years ago
Solve for the value of X. <br> -4x + 3 = 35
Stella [2.4K]

Answer:

-8

Step-by-step explanation:

4 0
2 years ago
A professor finds that the average SAT score among all students attending his college is 1150 ± 150 (μ ± σ). He polls his class
solniwko [45]

Answer:

Step-by-step explanation

Hello!

Be X: SAT scores of students attending college.

The population mean is μ= 1150 and the standard deviation σ= 150

The teacher takes a sample of 25 students of his class, the resulting sample mean is 1200.

If the professor wants to test if the average SAT score is, as reported, 1150, the statistic hypotheses are:

H₀: μ = 1150

H₁: μ ≠ 1150

α: 0.05

Z= \frac{X[bar]-Mu}{\frac{Sigma}{\sqrt{n} } } ~~N(0;1)

Z_{H_0}= \frac{1200-1150}{\frac{150}{\sqrt{25} } } = 1.67

The p-value for this test is  0.0949

Since the p-value is greater than the level of significance, the decision is to reject the null hypothesis. Then using a significance level of 5%, there is enough evidence to reject the null hypothesis, then the average SAT score of the college students is not 1150.

I hope it helps!

7 0
3 years ago
a coin is tossed 3 times. what is the probability of getting heads on the first toss, heads on the second toss, and tails on the
Salsk061 [2.6K]

Answer:

There are 2^3 = 8 possible outcomes after tossing a fair coin fairly 3 times. The 8 possible outcomes are: TTT, HTT, THT, TTH, HHT, HTH, THH, HHH. Exactly 2 of 8 possible outcomes result in 3 of the same faces showing up.

Step-by-step explanation:

3 0
3 years ago
A bag contains white marbles and red marbles, 90 in total. The number of white marbles is 6 less than 5 times the number of red
Gelneren [198K]

Answer:

W = 72

Step by step explanation:

White = W

Red = R

W + R = 90

Write an equation

W = 5R - 6

Substitute

5R - 6 = 90

Add 6 to both sides of the equation

5R = 90

Simplify

90 ÷ 5 = 18

R = 18

90 - 18 = W

W = 72

Hope this was useful to you!

8 0
3 years ago
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