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3 years ago

Help with the fraction

Mathematics

2 answers:

Aleksandr [31]3 years ago

7 0

Yes they do form a proportion since they both simplify to 6/11

Bezzdna [24]3 years ago

4 0

Yes they are! You need to simplify.

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Amy works for 36 hours per week for 10 weeks during the summer, making $\$3000$. If she works for 30 weeks during the school yea

Zinaida [17]

Answer:

12 hours per week

Step-by-step explanation:

1. Find how many hours she worked to make $3,000 (36x10=360 hours)

2. divide 360 hours by 30 weeks

she would need to work 12 hours per week to make $3,000

6 0

3 years ago

A survey of 700 adults from a certain region asked, "What do you buy from your mobile device?" The results indicated that 59%

Kryger [21]

Answer:

a) the test statistic z = 1.891

the null hypothesis accepted at 95% level of significance

b) the critical values of 95% level of significance is zα =1.96

c) 95% of confidence intervals are (0.523 ,0.596)

Step-by-step explanation:

A survey of 700 adults from a certain region

Given sample sizes $n_{1} = 400 and n_{2} = 300$

Proportion of mean $p_{1} = \frac{236}{400} = 0.59 and p_{2} = \frac{156}{300} = 0.52$

Null hypothesis H0 : assume that there is no significant difference between males and women reported they buy clothing from their mobile device

p1 = p2

Alternative hypothesis H1:- p1 ≠ p2

a) The test statistic is

$Z = \frac{p_{1} -p_{2} }{\sqrt{pq(\frac{1}{n_{1} }+\frac{1}{n_{2} )} } }$

where $p = \frac{n_{1}p_{1} +n_{2}p_{2} }{n_{1}+n_{2}}= \frac{400X0.59+300X0.52}{700}$

on calculation we get p = 0.56

now q =1-p = 1-0.56=0.44

$Z = \frac{p_{1} -p_{2} }{\sqrt{pq(\frac{1}{n_{1} }+\frac{1}{n_{2} )} } }\\ =\frac{0.56-0.52}{\sqrt{0.56X0.44}(\frac{1}{400}+\frac{1}{300} }$

after calculation we get z = 1.891

b) The critical value at 95% confidence interval zα = 1.96 (from z-table)

The calculated z- value < the tabulated value

therefore the null hypothesis accepted

conclusion:-

assume that there is no significant difference between males and women reported they buy clothing from their mobile device

p1 = p2

c) 95% confidence intervals

The confidence intervals are P± 1.96(√PQ/n)

we know that = $p = \frac{n_{1}p_{1} +n_{2}p_{2} }{n_{1}+n_{2}}= \frac{400X0.59+300X0.52}{700}$

after calculation we get P = 0.56 and Q =1-P =0.44

Confidence intervals are ( P- 1.96(√PQ/n), P+ 1.96(√PQ/n))

now substitute values , we get

( 0.56- 1.96(√0.56X0.44/700), 0.56+ 1.96(0.56X0.44/700))

on simplification we get (0.523 ,0.596)

Therefore the population proportion (0.56) lies in between the 95% of confidence intervals (0.523 ,0.596)

3 0

3 years ago

The vertices of a triangle are A(0, 0), B(3, 8), and C(9, 0). What is the area of this triangle?

Harlamova29_29 [7]

Answer: 36 units squared.

Explanation:
Area of a traingle is given by,

| 0.5{x1(y2-y3) + x2(y3-y1) + x3(y1-y2)} |

Accepting the values of the coordinates in x's and y's,

x1 =0, y1=0

x2=3, y2=8

x3 =9, y3=0

= | 0.5 × (-72)|
= 36 unit squared.

8 0

3 years ago

Read 2 more answers

What isvequivalent to y=23x−6?

RUDIKE [14]

Answer:

Slope = 46.000/2.000 = 23.000

x-intercept = 6/23 = 0.26087

y-intercept = -6/1 = -6.00000

3 0

3 years ago

The ratio of two similar polygons is 3:5. The perimeter of the larger polygon is is 150 centimeters. What is the perimeter of th

Effectus [21]

Think of it like this 3/5=x/150

4 0

3 years ago