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3 years ago

5(2 + x) apply distributive property

Mathematics

2 answers:

ki77a [65]3 years ago

4 0

Your answer is 10+5x

Because 5x2=10
And 5 times x= 5x

MrMuchimi3 years ago

3 0

Answer:

10+5x

Step-by-step explanation:

The distributive property is where you multiply what's on the outside with ALL the terms on the inside.

Here, you have to multiply 5 by two terms on the inside: 2 and x. 5*2 is 10 and 5*x is 5x. Add them together and your answer is 10+5x (or, 5x+10).

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Please show you work Thankyou :)

Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

Firstly the unfilled circle means that it is not equal to

If you read the scale the unfilled circle is at -1 and the arrow is pointing left.

This means that x is smaller than -1 or -1 is greater than x read in the form x<-1

The filled circle means x can be equal to, in this case, 4. The arrow is pointing right so x is greater or equal to 4

x≥4

Therefore the answer is b

Hope this helps

8 0

4 years ago

The National Center for Education Statistics surveyed a random sample of 4400 college graduates about the lengths of time requir

Paha777 [63]

Answer:

95% confidence interval for the mean time required to earn a bachelor’s degree by all college students is [5.10 years , 5.20 years].

Step-by-step explanation:

We are given that the National Center for Education Statistics surveyed a random sample of 4400 college graduates about the lengths of time required to earn their bachelor’s degrees. The mean was 5.15 years and the standard deviation was 1.68 years respectively.

Firstly, the pivotal quantity for 95% confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean time = 5.15 years

$\sigma$ = sample standard deviation = 1.68 years

n = sample of college graduates = 4400

$\mu$ = population mean time

Here for constructing 95% confidence interval we have used One-sample z test statistics although we are given sample standard deviation because the sample size is very large so at large sample values t distribution also follows normal.

So, 95% confidence interval for the population mean, $\mu$ is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5%

level of significance are -1.96 & 1.96}

P(-1.96 < $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ < 1.96) = 0.95

P( $-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

95% confidence interval for $\mu$ = [ $\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ , $\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ]

= [ $5.15-1.96 \times {\frac{1.68}{\sqrt{4400} } }$ , $5.15+1.96 \times {\frac{1.68}{\sqrt{4400} } }$ ]

= [5.10 , 5.20]

Therefore, 95% confidence interval for the mean time required to earn a bachelor’s degree by all college students is [5.10 years , 5.20 years].

8 0

3 years ago

Lester worked 12 hours last week at the grocery store and earned $93.00. If he continues to earn the same hourly pay, how many a

kykrilka [37]

93 / 12 = 7.75

so Lester earns $7.75 a hour.

if he earns $62 how many hours did he work.

so 62 = 7.75 (h)

62/ 7.75 = 8

so he worked 8 hours.

4 0

3 years ago

Read 2 more answers

Is there a rational number between 1/7 and 1/8

telo118 [61]

1/7 = 2/14 = 0.1428571429 
1/8 = 2/16 = 0.125
2/15 = 0.1333333333 
So, 2/15 is between 1/7 and 1/8
(and there are an infinite amount of numbers between 1/7 and 1/8)

5 0

4 years ago

Find the solutions of the quadratic equation 14x^2+9x+10=014x

Vesnalui [34]

Answer:

Option B. $x=-\frac{9}{28}(+/-)\frac{\sqrt{479}}{28}i$