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crimeas [40]
3 years ago
8

Use any method to solve the equation. If necessary, round to the nearest hundredth.7x2 − 16x = 8

Mathematics
1 answer:
Semmy [17]3 years ago
4 0
7x^2 - 16x - 8 = 0

using the quadratic formula x = [ -(-16)+/- sqrt((-16^2 - 4*7-8]  / 2*7

 =   (16 +/1 sqrt 480)  / 14

=  2.71, -0.42     to nearest hundredth
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Is 3.03003000300003... a repeating decimal
SVETLANKA909090 [29]
The answer is no because after each 3 there is one more zero added

to be repeating the number of zeros would have to stay the same
8 0
3 years ago
Two runners start 30kilometer apart and run toward each other. they meet after 3hours. One Runner runs 2 kilometers per hour fas
joja [24]

Answer:

4 km per hour and 6 km per hour.

Step-by-step explanation:

The combined running rate  = 30/3 = 10 km/h.

If one runner's speed = x then the other one's speed is x+2 km/h.

So x + x + 2 = 10

2x = 8

x = 4

So one runs at 4 km/h and the other at 6 km/h.

3 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

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

p1 = p2

<u>Alternative hypothesis H1:</u>- 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

<u>conclusion</u>:-

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

p1 = p2

c) <u>95% confidence intervals</u>

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 <u>confidence intervals  (0.523 ,0.596)</u>

<u></u>

3 0
3 years ago
Does the point(1, 8)satisfy the inequality y ≥ 6x + 2 ?
nalin [4]

Answer: Yes

Step-by-step explanation:

1. Substitute 1 for x

2. 6 times 1 is 6 plus 2 is 8

3.8 is equal to or greater than 8

4 0
3 years ago
116.PS-9<br> Question Help<br> Find the surface area of the prism.<br> 8 cm<br> 5 cm13cm<br> 12 cm
Ivanshal [37]

Answer:

6,240 cm

Step-by-step explanation:

8 cm x 5 cm x 13 cm x 12 cm = 6,240 cm

8 0
3 years ago
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