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Mashutka [201]
3 years ago
10

Which of the following points lies on the graph of y = 3x-5

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
6 0

Answer:

(4,7)

Step-by-step explanation:

I have attached what the graph looks like below.

Looking at it, you will see the point (4,7) lies on the graph.

So the answer is 2)

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You drive from your home to a vacation resort 420 miles away. You return on the same highway. The average velocity on the return
attashe74 [19]
<h2>Time required to complete the round​ trip T=\frac{420}{x}+\frac{420}{(x-15)} where x is average velocity on the outgoing​ trip.</h2>

Step-by-step explanation:

Let average velocity of outgoing trip = x mph

The average velocity on the return trip is 15 miles per hour slower than the average velocity on the outgoing trip.

Average velocity of return trip = (x-15) mph

Distance to vacation place = 420 miles

Distance to vacation place = Time for outgoing trip x average velocity of outgoing trip

          420=t_1\times x\\\\t_1=\frac{420}{x}

Distance to vacation place = Time for return trip x average velocity of return trip

          420=t_2\times (x-15)\\\\t_2=\frac{420}{(x-15)}  

We have total time T = t₁ + t₂

That is

                     T=\frac{420}{x}+\frac{420}{(x-15)}

Time required to complete the round​ trip T=\frac{420}{x}+\frac{420}{(x-15)} where x is average velocity on the outgoing​ trip.

8 0
3 years ago
Descent, Inc., produces a variety of climbing and mountaineering equipment. One of its products is a traditional three-strand cl
Rainbow [258]

Solution :

Assuming $\sigma_1^2=\sigma_2^2$

We have to test

$H_0:\mu_1=\mu_2$

Against H_a: \mu_1 \neq \mu_2

Level of significance, $\alpha = 0.05$

$s_p=\sqrt{\frac{(n_1-1)s_1^2+ (n_2-1)s_2^2}{n_1+n_2-2}}$

$s_p=\sqrt{\frac{(25-1)(425)^2+ (20-1)(415)^2}{25+20-2}}$

   = 420.6107

Under H_0, the t-statistics is as follows:

$t=\frac{(\overline{x_1} - \overline{x_2})}{s_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}} \sim $             $\text{t with }(n_1+n_2-2) \ DF$

$t=\frac{(7200-7087)}{(420.6107)\sqrt{\frac{1}{25}+\frac{1}{20}}}$

 = 0.90

DF = (25 + 20 - 2)

    = 43

P-value of the test = 0.375

Since the p value is more than 0.05, we fail to reject our null hypothesis.

There is no difference between then mean tensile strength of the ropes that is produced in the Bozeman and Challis.

3 0
3 years ago
Myron is determined to do well in science. His goal is to maintain at least an 85% average so he can accept a football scholarsh
il63 [147K]

Answer:

No he didnot

Step-by-step explanation:

Average= Sum/Number

=72+89+92=253

=253/3

<h3> =84.3% which is less than 85 %</h3>
7 0
3 years ago
Solve the system by substitution.<br> x = 9y<br> x-5y=20
storchak [24]

Step-by-step explanation:

hope this helps you! have a great day

4 0
3 years ago
What is the area of a sector with a central angle 210 and a diameter of 4.6
gizmo_the_mogwai [7]
Theta = 210°
r = 4.6/2 = 2.3
Area of circle = pi * r * r
= 3.14 * 2.3 * 2.3 = 16.61
Area of sector =
(theta / 360) * area of circle
= (210/360) * 16.61
= 9.69
5 0
3 years ago
Read 2 more answers
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