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3 years ago

Simplify (2 (radical 5) - 4) (3 (radical 5) +2)

1 answer:

6 0

$(2 \sqrt{5}-4 )(3 \sqrt{5}+2 )=\\2*3*5+2*2* \sqrt{5} -4*3* \sqrt{5}-4*2= \\ 30+4 \sqrt{5}-12 \sqrt{5}-8= \\ 22-8 \sqrt{5}$

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6x + 5y = 82 2x + 5y = 54

vovikov84 [41]

Answer:

A) 6x + 5y = 82

B) 2x + 5y = 54 We'll multiply equation B) by -1

B) -2x -5y = -54 Then we'll add this to A)

A) 6x + 5y = 82

4x = 28

x = 7

y = 8

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

I NEED HELP PLEASE, THANKS! :)

Afina-wow [57]

Answer:

Third option is the right choice.

Step-by-step explanation:

Manipulate the right hand side.

$\sec \left(x\right)\\\\=\frac{1}{\cos \left(x\right)}\\\\\mathrm{Use\:the\:following\:identity}:\quad \:1=\cos ^2\left(x\right)+\sin ^2\left(x\right)\\\\=\frac{\cos ^2\left(x\right)+\sin ^2\left(x\right)}{\cos \left(x\right)}\\\\\Rightarrow \mathrm{True}$

Best Regards!

6 0

3 years ago

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In ΔKLM, the measure of ∠M=90°, the measure of ∠K=78°, and KL = 35 feet. Find the length of MK to the nearest tenth of a foot.

Margaret [11]

Answer:

7.3 feet

Step-by-step explanation:

osK=

hypotenuse

adjacent

\cos 78=\frac{x}{35}

cos78=

35\cos 78=x

35cos78=x

Cross multiply.

x=7.2769\approx \mathbf{7.3}\text{ feet}

x=7.2769≈7.3 feet

Type into calculator and round to the nearest tenth of a foot.

4 0

2 years ago

Read 2 more answers

In a survey of 603 adults, 98 said that they regularly lie to people conducting surveys. Create a 99% confidence interval for th

marysya [2.9K]

Answer:

The population proportion is estimated to be with 99% confidence within the interval (0.1238, 0.2012).

Step-by-step explanation:

The formula for estimating the population proportion by a confidence interval is given by:

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

Where:

$\hat{p}$ is the sample's proportion of success, which in this case is the people that regularly lie during surveys,

$z_{\alpha /2}$ is the critical value needed to find the tails of distribution related to the confidence level,

$n$ is the sample's size.

First we compute the $\hat{p}$ value:

$\hat{p}=\frac{successes}{n}=\frac{98}{603}=0.1625$

Next we find the z-score at any z-distribution table or app (in this case i've used StatKey):

$z_{\alpha /2}=2.576$

Now we can replace in the formula with the obtained values to compute the confidence interval:

$\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}=0.1625\pm 2.576\times\sqrt{\frac{0.1625\times(1-0.1625)}{603}}=(0.1238, 0.2012)$

5 0

2 years ago

Maria brought home a sandwich that was 6 1/8 feet long to share with 4 members of her family. If each person, including Maria, a

mamaluj [8]

There are 5 people. Each ate the same amount. So it is 1/5 of the sandwich. 6.125/5=1.225 feet

6 0

2 years ago