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Jobisdone [24]
3 years ago
13

I need help with 8x+3-10=-2 (x-2)+3

Mathematics
1 answer:
astraxan [27]3 years ago
5 0

0 ≠ 4. The equation is wrong, and has no true solution.

8x + 3 - 10x = -2(x - 2) + 3

<em><u>Distributive property.</u></em>

8x + 3 - 10x = -2x + 4 + 3

<em><u>Combine like terms.</u></em>

-2x + 3 = -2x + 7

<em><u>Cancel like terms.</u></em>

<em><u>Subtract 3 from both sides.</u></em>

0  ≠ 4

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The speeds of vehicles traveling on a highway are normally distributed with a population standard deviation of 7 miles per hour
True [87]

Answer:  (56.03\ ,63.97)

Step-by-step explanation:

Given : The speeds of vehicles traveling on a highway are normally distributed .

Standard deviation: \sigma: 7

Since , sample size : n=20 , which is small sample (n<30) so the test applied here is a t-test.

Degree of freedom= n-1=20-1=19

Sample mean : \overline{x}=60

Level of significance : 1-\alpha:0.98

Then , significance level : \alpha: 1-0.98=0.02

Using t-distribution table , Critical value : \text{t-score}=t_{n-1, \alpha/2}= 2.539483

The confidence interval for population mean is given by :-

\overline{x}\pm t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

60\pm( 2.539483)\dfrac{7}{\sqrt{20}}\approx60\pm3.97=(56.03\ ,63.97)

Hence, a 98% confidence interval for the population mean=(56.03\ ,63.97)

4 0
3 years ago
2. Tomás compró una bicicleta en $199.900. Primero, canceló la mitad y el resto en 7 cuotas de igual valor, con un interés total
Papessa [141]

Answer:

Cada cuota tendrá un valor de $14,850.

Step-by-step explanation:

Dado que Tomás canceló la mitad del valor de la bicicleta, la cual costaba $199.900, el valor pagado al inicio fue de $99,950 (199,900 / 2).

Luego, para el valor restante, Tomás suscribió a una financiación con un interés de $4,000, elevando el monto a pagar a $103,950, pagaderos en 7 cuotas. Por lo tanto, dichas cuotas tendrán cada una un valor de $14,850 (103,950 / 7).

4 0
3 years ago
What are the angle measures?
ozzi

Answer:In geometry, an angle measure can be defined as the measure of the angle formed by the two rays or arms at a common vertex. Angles are measured in degrees ( °), using a protractor. Fun Facts. The protractor was invented by Joseph Huddart in 1801. It was a more complex form of protractor.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
if a countrys population is 60 million with 1 million unemployed and 30 million currently holding jobs the unemployment rate is
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Answer:

8.3 %

Step-by-step explanation:

4 0
3 years ago
Solve by substitution.<br> x + 3y = -2<br> 1-3x + y = 6
aalyn [17]
Explanation:
3
x
+
y
=
2
−
x
−
3
y
=
6
⇒
−
6
−
3
y
=
x
Substitute this equation into the other system wherever you see
x
.
3
(
−
6
−
3
y
)
+
y
=
6
Distribute
3
onto
(
−
6
−
3
y
)
−
18
−
9
y
+
y
=
2
Combine alike terms
−
8
y
=
20
Divide to solve for
y
−
8
y
−
8
=
20
−
8
⇒
y
=
−
20
8
Then solve for
x
using the value of
y
.
−
x
−
60
8
=
6
x
=
−
108
8
y
=
−
20
8
3 0
3 years ago
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