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2 years ago

5

each hour Maggie baby-sits she charge $2 plus $0.75 for each child. write an equation for Maggie's hourly rate h in terms of the

number of children. Then solve the equation to find the hourly rate when Maggie baby-sits 3 children

1 answer:

choli [55]2 years ago

6 0

Maggie charges $3.50 for 3 children an hour
Y=75c+2
Y=75•3+2
Y=1.50+2
Y=3.50
Hope this helps!

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Find the perimeter RST. Round answer to the nearest tenth<br> Show all the work

kow [346]

Answer:

35.1 units

Step-by-step explanation:

Imagine a right-angled triangle with RS as hypotenuse. The base would be 3 units and the height would be 6 units. By Pythagorus:

RS²=3²+6²

RS= $\sqrt{45}$ ≈6.7 units

Imagine a right-angled triangle with RT as hypotenuse. The base would be 9 units and the height would be 12 units. By Pythagorus:

RT²=9²+12²

RT= $\sqrt{225}$ = 15 units

Imagine a right-angled triangle with TS as hypotenuse. The base would be 12 units and the height would be 6 units. By Pythagorus:

TS²=12²+6²

TS= $\sqrt{180}$ ≈13.4 units

Perimeter=RS+RT+TS

=6.7+15+13.4

=35.1 units

6 0

3 years ago

What is the product of 4 and 8V200 in simplest radical form?

Sonja [21]

Answer:

320√2

Step-by-step explanation:

4 * 8√200

= 4 * 8√2√100

= 32 * √2 * 10

= 320√2

4 0

2 years ago

During the 7th examination of the Offspring cohort in the Framingham Heart Study, there were 1219 participants being treated for

AlexFokin [52]

Answer:

95% confidence interval for the proportion of the population which are on treatment is [0.3293 , 0.3607].

Step-by-step explanation:

We are given that during the 7th examination of the Offspring cohort in the Framing ham Heart Study, there were 1219 participants being treated for hypertension and 2,313 who were not on treatment.

The sample proportion is : $\hat p$ = x/n = 1219/3532 = 0.345

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

P.Q. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion = 0.345

n = sample of participants = 3532

p = population proportion

<em>Here for constructing 95% confidence interval we have used One-sample z proportion statistics.</em>

So, 95% confidence interval for the population proportion, p 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 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 1.96) = 0.95

P( $-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < ${\hat p-p}$ < $1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.95

P( $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < p < $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.95

<u>95% confidence interval for p</u>= [ $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ , $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ]

= [ $0.345-1.96 \times {\sqrt{\frac{0.345(1-0.345)}{3532} } }$ , $0.345+1.96 \times {\sqrt{\frac{0.345(1-0.345)}{3532} } }$ ]

= [0.3293 , 0.3607]

Hence, 95% confidence interval for the proportion of the population which are on treatment is [0.3293 , 0.3607].

6 0

3 years ago

Simplify (write without absolute value sign): |x+3|, if x>2

Bas_tet [7]

Answer:

5

Step-by-step explanation:

Substitute 2 in for x

|2+3| = 5

This would take the absolute value of the answer, or in other words once you solve the equation it will remove any negatives to return a positive number. I took the test and I have links to prove it.

3 0

3 years ago

Solve 2x+ 3=7<br> please

blondinia [14]

2x+3=7

2x+3-3=7-3

Whenever moving a number to the other side you have to change the sign .

2x= 4

x=2

7 0

3 years ago