All categories

2 years ago

Answer below these questions

Mathematics

1 answer:

timurjin [86]2 years ago

3 0

Answer:

A: 6x⁸y⁵

B: 4x⁵z⁸

C: 48a¹²b⁵

D: 6s⁹t³

Step-by-step explanation:

When you multiply 2 exponents together, you add them. When you power an exponent, you multiply the 2 exponents together,

3x²2y⁴(2x⁶y)

6x⁸y⁵

xz³(4x⁴z⁵)

4x⁵z⁸

(4a³)²(3a⁶b⁵)

16a⁶(3a⁶b⁵)

48a¹²b⁵

6s⁵t(s⁴t²)

6s⁹t³

You might be interested in

Name the postulate or theorem you can use to prove ∆ABD ≅ ∆CBD.

lozanna [386]

Hey there!

Triangle CBD is congruent to triangle ABD. This means that BD is congruent to BD by reflexive property. You have two congruent angles, and one congruent side. This would be AAS theorem. The answer is D.

I hope this helps!

5 0

2 years ago

Read 2 more answers

Hard times In June 2010, a random poll of 800 working men found that 9% had taken on a second job to help pay the bills. (www.ca

Phoenix [80]

Answer:

a) The 95% confidence interval would be given (0.0702;0.1098).

We can conclude that the true population proportion at 95% of confidence is between (0.0702;0.1098)

b) Since the confidence interval NOT contains the value 0.06 we have anough evidence to reject the claim at 5% of significance.

Step-by-step explanation:

Previous concepts

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".

$p$ represent the real population proportion of interest

$\hat p =0.09$ represent the estimated proportion for the sample

n=800 is the sample size required

$z$ represent the critical value for the margin of error

Confidence =0.95 or 95%

Part a

The population proportion have the following distribution

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

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

The margin of error is given by :

$Me=z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

$Me=1.96 \sqrt{\frac{0.09(1-0.09)}{800}}=0.0198$

And replacing into the confidence interval formula we got:

$0.09 - 1.96 \sqrt{\frac{0.09(1-0.09)}{800}}=0.0702$

$0.09 + 1.96 \sqrt{\frac{0.108(1-0.09)}{800}}=0.1098$

And the 95% confidence interval would be given (0.0702;0.1098).

We can conclude that the true population proportion at 95% of confidence is between (0.0702;0.1098)

Part b

Since the confidence interval NOT contains the value 0.06 we have anough evidence to reject the claim at 5% of significance.

6 0

1 year ago

The graph shows the number of each kind of book in Hero's personal library. A book is chosen randomly. What is the probability t

VMariaS [17]

14 science fiction, 2 romance, 4 biography, 10 adventure...total of 30 books

P(biography) = biographies / total books = 4/30 which reduces to 2/15 <=

5 0

2 years ago

Read 2 more answers

11. S(-4,-6) and T(-7, -3); Find R. What is the missing endpoint if S is the midpoint of RT

Nezavi [6.7K]

answer is (-7,-9)

step by step:-

S is the midpoint of RT so ,

s= $\frac{R+T}{2 }$

$-4=\frac{x-7}{2}$ , $-6=\frac{y-3}{2}$

$-14=x-7$ , $-12=y-3$

$x=-7$ , $y=-9$

R= (-7,-9)

5 0

2 years ago

What integer is equivalent to 25 3/2

antiseptic1488 [7]

Answer
26 1/2 is not equivalent to and integer but it can be approximated to 27 which is an integer.

Explanation
An integer is a whole number. It is a number that is not a fraction.
253/2=25+3/2=25+1 1/2=26 1/2
26 1/2 is not equivalent to and integer but it can be approximated to 27 which is an integer.

3 0

1 year ago

Read 2 more answers