Can someone help me I’m stuck on this question

(72*78*85*90*90)/(68*84*91*108) (There's an easier way than multiplying out the giant products 72 78 85 90 98 and 68 84 91 108)H

Sveta_85 [38]

Cancel common factors. For instance,

$\dfrac{72}{68}=\dfrac{2^3\cdot3^2}{2^2\cdot17}=\dfrac{2\cdot3^2}{17}=\dfrac{18}{17}$

For this expression, we have

$\dfrac{72\cdot78\cdot85\cdot90^2}{68\cdot84\cdot91\cdot108}=\dfrac{2^6\cdot3^7\cdot5^3\cdot13\cdot17}{2^6\cdot3^4\cdot7^2\cdot13\cdot17}=\dfrac{3^3\cdot5^3}{7^2}=\dfrac{15^3}{7^2}=\dfrac{3375}{49}$

5 0

4 years ago

A random sample of 400 voters in a certain city are asked if they favor an additional 4% gasoline tax to provide badly needed re

Norma-Jean [14]

Answer:

A) α = 0.04136

B) β = 0.00256

Step-by-step explanation:

We are given;

Sample size; n = 400

Proportion; p = 60% = 0.6

Formula for mean is;

μ = np

μ = 400 × 0.6 = 240

Standard deviation is given by;

σ = √npq

Where q = 1 - p = 1 - 0.6 = 0.4

σ = √(400 × 0.6 × 0.4)

σ = √96

σ = 9.8

A) our null hypothesis is at p = 0.6

Probability of making a type I error means we reject the null hypothesis when it is true.

This can be expressed in reference to the question as;

α = P(x < 220) + P(x > 260) all at p = 0.6

Now,

P(x < 220) = z = (x¯ - μ)/σ = (220 - 240)/9.8 = -2.04

Also;

P(x > 260) = z = (260 - 240)/9.8 = 2.04

Now, from z-distribution table probability of a z-score of -2.04 is 0.02068.

Also, probability of z-score of 2.04 is (1 - P(z < 2.04) = 1 - 0.97932 = 0.02068

Thus;

α = 0.02068 + 0.02068

α = 0.04136

B) Type II error occurs when we fail to reject the null hypothesis even though it's false.

In this case our alternative hypothesis is at p = 48% = 0.48

Thus;

μ = np

μ = 400 × 0.48 = 192

Standard deviation is given by;

σ = √npq

Where q = 1 - p = 1 - 0.48 = 0.52

σ = √(400 × 0.48 × 0.52)

σ = √99.84

σ = 9.992

Type II error would be given by;

β = [((x1¯ - μ)/σ) < z > ((x2¯ - μ)/σ)]

β = [((220 - 192)/9.992) < z > ((260 - 192)/9.992)]

β = (2.8 < z > 6.81)

Rearranging this gives us;

β = P(z < 6.81) - P(z < 2.8)

From z-distribution tables, we have;

β = 1 - 0.99744

β = 0.00256

3 0

3 years ago

What is padlet and how does it work?

GenaCL600 [577]

Answer:

Padlet is an online virtual “bulletin” board, where students and teachers can collaborate, reflect, share links and pictures, in a secure location. Padlet allows users to create a hidden wall with a custom URL. Padlet creators can also moderate posts, remove posts, and manage their board 24/7.

Step-by-step explanation:

dont know if its right or wrong soooOOO ;-;

3 0

3 years ago

Read 2 more answers

(2.5-6.7)^2÷2/5 simplify.

kipiarov [429]

Answer

44.1

Step-by-step explanation:

(-4.2)^2/2/5

17.64/2/5

44.1

8 0

3 years ago

Read 2 more answers

Yesterday marcel walked 9,648 steps .this number in expanded form is

Natalka [10]

Answer:

The number 9,648 in expanded form is '9,648 = 9,000 + 600 + 40 + 8'.

Step-by-step explanation:

Expanded form is a way to expand a number in addition form. Since the '9' is in the thousands place, it's value will be 9,000. With 6 in the hundreds place, it's value will be 600. This will occur the same thing with the tens and the ones place. Now, the answer to the question is explained below.

=> 9,648 = 9,000 + 600 + 40 + 8

Hence, the number 9,648 in expanded form is '9,648 = 9,000 + 600 + 40 + 8'.

Hoped this helped.

$BrainiacUser1357$

3 0

2 years ago