Help me solve this please. The last column says simplified expressions and whoever gives the best answer is brainliest

Trinity solved the equation 2(x-3)+7-3x=11.

lukranit [14]

Answer:

$x=-10$

Step-by-step explanation:

$2(x-3)+7-3x=11$

$2\left(x-3\right)+7-3x-7=11-7$

$2\left(x-3\right)-3x=4$

$-x-6=4$

$-x-6+6=4+6$

$-x=10$

$\cfrac{-x}{-1}=\cfrac{10}{-1}$

$x=-10$

~

8 0

2 years ago

Area of Composed figures<br><br> PLEASEEE RN

madam [21]

Answer:

33 ft²

Step-by-step explanation:

The area of the outdoor carpet = area of trapezoid + area of rectangle + area of triangle

✔️Area of trapezoid = ½(a + b)h

Where,

a = 6 ft

b = 3 ft

h = 11 - 9 = 2 ft

Area of trapezoid = ½(6 + 3)*2 = 9 ft²

✔️Area of rectangle = L*W = 7 *3 = 21 ft²

✔️Area of triangle = ½bh

b = 2 ft

h = 3 ft

Area = ½*2*3 = 3 ft²

✅Area of the outdoor carpet = 9 + 21 + 3 = 33 ft²

5 0

3 years ago

Over the past several years, the proportion of one-person households has been increasing. The Census Bureau would like to test t

bixtya [17]

Answer:

For this case we can find the critical value with the significance level $\alpha=0.05$ and if we find in the right tail of the z distribution we got:

$z_{\alpha}= 1.64$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing we got:

$z=\frac{0.344 -0.27}{\sqrt{\frac{0.27(1-0.27)}{125}}}=1.86$

Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of households with one person is significantly higher than 0.27

Step-by-step explanation:

We have the following dataset given:

$X= 43$ represent the households consisted of one person

$n= 125$ represent the sample size

$\hat p= \frac{43}{125}= 0.344$ estimated proportion of households consisted of one person

We want to test the following hypothesis:

Null hypothesis: $p \leq 0.27$

Alternative hypothesis: $p>0.27$

And for this case we can find the critical value with the significance level $\alpha=0.05$ and if we find in the right tail of the z distribution we got:

$z_{\alpha}= 1.64$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing we got:

$z=\frac{0.344 -0.27}{\sqrt{\frac{0.27(1-0.27)}{125}}}=1.86$

Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of households with one person is significantly higher than 0.27

5 0

3 years ago

riya obtained the following score (out of 100) in a vocabulary test: 80,85,90,71,60,100. what is her mean score

Greeley [361]

Answer:

85

Step-by-step explanation:

3 0

3 years ago

Find the domain of the given function. f(x) = square root of quantity x plus eight divided by quantity x plus four times quantit

BaLLatris [955]

Your f(x)=sqrt[x+8]/(x+4)(x-6) is MUCH clearer, but not 100% clear. I will assume that your denominator here is the product of (x+4) and (x-6):

√x+8)

f(x) = ------------------

(x+4)(x-6)

We cannot divide by zero. Thus, x cannot be -4 and cannot be 6.

Thus, the domain is:

(-infinity, -4) or (-4, 6) or (6, infinity).

7 0

4 years ago