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AveGali [126]
2 years ago
8

The sum of Jahiem and his sister's age is 21. If Jahiem is 7 years older than his

Mathematics
1 answer:
Effectus [21]2 years ago
6 0

Step-by-step explanation:

I think it is meant to use "j" for Jahiem's age.

so,

j + s = 21

j = s + 7

=> s + s + 7 = 21

=> 2s + 7 = 21

=> 2s = 14

=> s = 7

=> j = s + 7 = 7 + 7 = 14

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Decide if each expression is equivalent to 2^6 or 4^4
Mandarinka [93]

Answer:

no

Step-by-step explanation:

2^6=64

4^4=256

4 0
2 years ago
Can someone help me with these questions, don’t mind the answers written already
Rina8888 [55]

Answer:

a) x value is -2, min is -3(if thats y)

b) x value is 3, max is 21(if thats y)

Step-by-step explanation:

yes you do quadratic formula and such :)

8 0
1 year ago
Simplify the expression cos x cot x+ sin x please select the best answer from the choices provided a.0, b.csc x, c. Tan x, d sec
expeople1 [14]

Answer:

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cos x \frac{cos x}{sin x} + sin x

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Solving for cos^2 x we got cos^2 x =1 -sin^2 x and replacing this we got:

\frac{1-sin^2 x}{sin x} +sin x

\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x

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And then the best option for this case would be:

b.csc x

Step-by-step explanation:

For this case we have the following expression given:

cos x cot x + sin x

We know from math properties that the definition for cot is cot x = \frac{cos x}{sin x}

If we use this definition we got:

cos x \frac{cos x}{sin x} + sin x

\frac{cos^2 x}{sin x} +sin x

Now we can use the following identity:

sin^2 x + cos^2 x =1

Solving for cos^2 x we got cos^2 x =1 -sin^2 x and replacing this we got:

\frac{1-sin^2 x}{sin x} +sin x

\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x

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And then the best option for this case would be:

b.csc x

4 0
3 years ago
Suppose you take an SRS of size 1000 of Connecticut students eligible to take the SAT and find that 85% plan to take the SAT dur
nadezda [96]

Answer:

\mu_{p}=p=0.81

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

So under the null hypothesis the mean for the population proportion is p

\mu_{p}=p=0.81

And the standard deviationis given by:

\sigma_{p}=\sqrt{\frac{p_0(1-p_o)}{n}}=\sqrt{\frac{0.81(1-0.81)}{1000}}=0.0124

7 0
3 years ago
Evaluate |a| - |b|, given a = 5, b = -3, and c = -2. 2 3 7 8
sertanlavr [38]

Step-by-step explanation:

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4 0
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