What is -7x3(4+-5)=

Mathematics

1 answer:

nlexa [21]4 years ago

6 0

$\text{Hey there!}$

$\bf{-7\times(4+(-5))}$

$\bf{First, you\ need\ to\ do \ is\ PEMDAS}\\\\\\\text{Parentheses, Exponents, Multiplication, Division,Addition\ \& Subtraction}$

$\bf{ -7\times3(4+(-5))}\\\bf{-7\times3=-21}\\\bf{-21(4+(-5))}\\\bf{4+(-5)= -1}\\\bf{-21\times-1=21}\\\\\boxed{\boxed{\bf{Answer: 21}}}\checkmark$

$\text{Good luck on your assignment and enjoy your day!}\\\\\\\frak{LoveYourselfFirst:)}$

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a) $0.823 - 1.96\sqrt{\frac{0.823(1-0.823)}{1000}}=0.799$

$0.823 + 1.96\sqrt{\frac{0.823(1-0.823)}{1000}}=0.847$

The 95% confidence interval would be given by (0.799;0.847)

b) $n=\frac{0.823(1-0.823)}{(\frac{0.03}{1.96})^2}=621.79$

And rounded up we have that n=622

c) $n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

Step-by-step explanation:

Part a

$\hat p=\frac{823}{1000}=0.823$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by: