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Norma-Jean [14]

2 years ago

9

My mom gave me 5 dollar and I had 6 dollar and my dad gave me 8 dollar how much money I have?/

1 answer:

Luba_88 [7]2 years ago

3 0

19
Starting amount 5
Adding 6 and 8
5+6+8=19

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Solve the following system of equations using substitution.<br><br> 4x + 2y = 12<br> x = y + 3

BigorU [14]

Answer:

x = 3

y = 0

Step-by-step explanation:

The method of substitution is when one solves an equation for one of the variables, and then substitutes the expression into the other equation. After doing so, one will solve the other equation for the remaining variable and then backsolve for the first variable.

4x + 2y = 12

x = y + 3

The second equation is already sovled for parameter (x), subttiute this into the other equation,

4(y + 3) + 2y = 12

Distribute,

4y + 12 + 2y = 12

Simplify,

6y + 12 = 12

Inverse operations,

6y + 12 = 12

-12

6y = 0

/6

y = 0

Backsolve for (x), substitute the value of (y) into the equation for (x) and solve,

x = y + 3

x = 0 + 3

x = 3

4 0

3 years ago

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A researcher wishes to be 95% confident that her estimate of the true proportion of individuals who travel overseas is within 3%

andre [41]

Answer: a) 683 b) 1067

Step-by-step explanation:

The confidence interval for population proportion is given by :-

$p\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}$

a) Given : Significance level : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}}=\pm1.96$

Margin of error : $E=0.03$

Formula to calculate the sample size needed for interval estimate of population proportion :-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.2(0.8)(\dfrac{1.96}{0.03})^2=682.951111111\approx683$

Hence, the required sample size would be 683 .

b) If no estimate of the sample proportion is available then the formula to calculate sample size will be :-

$n=0.25(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.25(\dfrac{1.96}{0.03})^2=1067.11111111\approx1067$

Hence, the required sample size would be 1067 .

3 0

3 years ago

What is the total surface area of the rectangular pyramid below

Novosadov [1.4K]

Answer:

<h2>S.A. = 225 ft²</h2>

Step-by-step explanation:

We have

the rectangle 12ft × 6ft

two triangles with the base b = 12ft and the height h = 8ft

two triangles with the base b = 6ft and the height h = 9.5ft.

The formula of an area of a rectangle l × w:

$A=lw$

Substitute:

$A_1=(12)(6)=72\ dt^2$

The formula of an area of a triangle:

$A=\dfrac{bh}{2}$

Substitute:

$A_2=\dfrac{(12)(8)}{2}=48\ ft^2$

$A_3=\dfrac{(6)(9.5)}{2}=28.5\ ft^2$

The Surface Area:

$S.A.=A_1+2A_2+2A_3$

Substitute:

$S.A.=72+2(48)+2(28.5)=225\ ft^2$

5 0

3 years ago

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Lilit [14]

Answer:

26$

Step-by-step explanation:

10+ (5x3) +1= 26$

8 0

3 years ago

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Slope Intercept form

valentinak56 [21]

Answer:

y=mx+b

Step-by-step explanation:

3 0

2 years ago

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