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3 years ago

What is the value of the expression?

Mathematics

1 answer:

fomenos3 years ago

4 0

2/3 would be the value of this expression:)

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Eric is studying people's typing habits. He surveyed 525 people and asked whether they leave one space or two spaces after a per

Otrada [13]

Answer: (0.8115, 0.8645)

Step-by-step explanation:

Let p be the proportion of people who leave one space after a period.

Given: Sample size : n= 525

Number of people responded that they leave one space. =440

i.e. sample proportion: $\hat{p}=\dfrac{440}{525}\approx0.838$

z-score for 90% confidence level : 1.645

Formula to find the confidence interval :

$\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$0.838\pm (1.645)\sqrt{\dfrac{0.838(1-0.838)}{525}}\\\\=0.838\pm (1.645)\sqrt{0.00025858285}\\\\=0.838\pm (1.645)(0.01608)\\\\= 0.838\pm0.0265\\\\=(0.838-0.0265,\ 0.838+0.0265)\\\\=(0.8115,\ 0.8645)$

Hence, a 90% confidence interval for the proportion of people who leave one space after a period: (0.8115, 0.8645)

3 0

3 years ago

Htuhrjnkemldjrhftrfejdkws

kondaur [170]

Answer:

2z + 4 = 8

Z = 2

Step-by-step explanation:

2z + 4 = 8

-4. -4

2z = 8

—- —

2. 2

z. =. 4

Easy Peasy! Hope this helped :) have great day!!

3 0

2 years ago

Reese is selling lemonade at the parade. He gets to keep 10% of the money he collects. A large lemonade is $7.00 and a small lem

jeka94

Answer:

We conclude that the simplified expression is:

$0.10\left(7l\:+\:2s\right)=0.7l+0.2s$

Step-by-step explanation:

Given the expression

$0.10\left(7l\:+\:2s\right)$

Apply the distributive law: a(b+c) = ab+ac

a = 0.1, b = 7l, c = 2s

$0.10\left(7l\:+\:2s\right)=0.1\cdot \:7l+0.1\cdot \:2s$

$=7\cdot \:0.1l+2\cdot \:0.1s$

$=0.7l+0.2s$

Therefore, we conclude that the simplified expression is:

$0.10\left(7l\:+\:2s\right)=0.7l+0.2s$

4 0

3 years ago

How to solve algebraic expression using pemas(please excuse my aunt sally)

cupoosta [38]

Its actually PEMDAS you forgot the D.
P-parentheses () E-exponents M-multiplication D-division A-addition S-subtraction. <span />

3 0

3 years ago

Read 2 more answers

The trailer ramp is shaped like a triangle prism . The height of the ramp is 14 inches and the volume of the ramp is 4704 inches

Hatshy [7]

Answer:

A = 2167.73 cm²

Step-by-step explanation:

Given that,

A trailer ramp is in the shape of a triangular prism.

the height of the ramp, h = 14 inches

The volume of the ramp, V = 4704 inches²

We need to find the area of the base of the trailer ramp.

The volume of the triangular prism is given by :

$V=A\times h$

A is area of base and h is height

$A=\dfrac{V}{h}\\\\A=\dfrac{4704}{14}\\\\A=336\ \text{inches}^2$

A = 2167.73 cm²

So, the area of the base of the ramp is 2167.73 cm².

8 0

3 years ago