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3 years ago

Determining a value of an expression

1 answer:

5 0

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations.

I think.

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N÷4=1225 what is the answer?

Vilka [71]

If you are looking for the value of N, multiply both sides by 4. The value of N is 4900.

7 0

4 years ago

In Exercise,find the balance in the account after 10 years.

Vesnalui [34]

Answer: $ 3462.03

Step-by-step explanation:

The exponential equation for growth (compounded continuously) is given by :-

$A=Pe^{rt}$

, where P= Present value

r= growth rate ( in decimal)

t= time

As per given , we have

P=$1900, r = 6% =0.06 and t= 10

Substitute all the values in the above equation , we get

$A=1900e^{0.06(10)}$

$A=1900e^{0.6}$

$A=1900(1.8221188)=3462.02572\approx3462.03$ [To the nearest cent]

Hence, the balance in the account after 10 years = $ 3462.03

3 0

4 years ago

HURRYSolve. X/3 <_ -6 please answer fast HURRY

Eva8 [605]

Step-by-step explanation:

do you mean less than or equal to

x/3<= -6 x 3

x<= -18

3 0

3 years ago

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

Josh wrote a whole number using the digits 8,4,7,2,9 and 0. Josh's number has a seven in the thousands and a 2 in the tens place

sweet [91]

Answer:

Step-by-step explanation:

Using the digits 8,4,7,2,9 and 0 to write a whole Number with 7 in the thousands place and 2 in the tens place :

The whole number is 6 digits long

100 thousand

10 thousand

Thousand = 7

Hundred

Tens = 2

Unit

Also the whole number is less than 500,000

Hence, number in the 100 thousand place is less Than 5,

Hence digit in the 100 thousand place = 4

Placing either 8 or 9 in the ten thousand place will mean That Josh's whole number is greater than 480,000

7 0

3 years ago