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jarptica [38.1K]
3 years ago
6

What is the value of z in the equation 5(2z+4)

Mathematics
2 answers:
Molodets [167]3 years ago
8 0
10z+20 is the answer
morpeh [17]3 years ago
5 0

Answer: z = -2

Step-by-step explanation:

5(2z + 4) = 0

10z + 20 = 0    [distributive property]

10z = -20   [carry over the 20]

z = -2    [divide]

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What is the equation of the line that passes through the point (-2,7) and has a slope of zero​
Lina20 [59]

Answer:

Equation of the line that passes through the point (-2,7) and has a slope of zero​ is given as

y=7

Step-by-step explanation:

Equation of line is given as

y-y_1=m(x-x_1)   -----------(1)

Here

m=0 \ \ \ and \ \ \ (x_1, y_1) = (-2, 7)

Substituting values in equation (1)

y-7=0(x+2)\\y=7

5 0
2 years ago
As a rule of thumb, the sampling distribution of the sample proportion can be approximated by a normal probability distribution
Gennadij [26K]

As a rule of thumb, the sampling distribution of the sample proportion can be approximated by a normal probability distribution whenever the sample size is large.

<h3>What is the Central limit theorem?</h3>
  • The Central limit theorem says that the normal probability distribution is used to approximate the sampling distribution of the sample proportions and sample means whenever the sample size is large.
  • Approximation of the distribution occurs when the sample size is greater than or equal to 30 and n(1 - p) ≥ 5.

Thus, as a rule of thumb, the sampling distribution of the sample proportions can be approximated by a normal probability distribution when the sample size is large and each element is selected independently from the same population.

Learn more about the central limit theorem here:

brainly.com/question/13652429

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4 0
2 years ago
Write the expression as the sine or cosine of an angle sin(pi/7) cos(x) + cos(pi/7) sin(x)
Natasha_Volkova [10]

Answer:

\sin(\frac{\pi}{7}+x)

Step-by-step explanation:

We are going to use the identity

\sin(a+b)=\sin(a)\cos(b)+\cos(a)\sin(b)

because this identities right hand side matches your expression where

a=\frac{\pi}{7} and b=x.

So we have that \sin(\frac{\pi}{7})\cos(x)+\cos(\frac{\pi}{7})\sin(x) is equal to \sin(\frac{\pi}{7}+x).

5 0
3 years ago
I don’t get how to get the answer or graph it
timofeeve [1]
The distance might be the slope of the line
7 0
3 years ago
manuel deposits $10000 for 12 yr in an account paying 4% compounded annually.He then puts this total amount on deposit in anothe
Naddik [55]
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he then turns around and grabs that money and sticks it for another 9 years,

\bf ~~~~~~ \textit{Compound Interest Earned Amount}&#10;\\\\&#10;A=P\left(1+\frac{r}{n}\right)^{nt}&#10;~~&#10;\begin{cases}&#10;A=\textit{accumulated amount}\\&#10;P=\textit{original amount deposited}\to &\$16010.32\\&#10;r=rate\to 5\%\to \frac{5}{100}\to &0.05\\&#10;n=&#10;\begin{array}{llll}&#10;\textit{times it compounds per year}\\&#10;\textit{semi-annually, thus twice}&#10;\end{array}\to &2\\&#10;t=years\to &9&#10;\end{cases}&#10;\\\\\\&#10;A=16010.32\left(1+\frac{0.05}{2}\right)^{2\cdot 9}\implies A=16010.32(1.025)^{18}&#10;\\\\\\&#10;A\approx 24970.64

add both amounts, and that's how much is for the whole 21 years.
6 0
3 years ago
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