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Paha777 [63]
2 years ago
10

Matthew went to a amusement park during his summer vacation. He went

Mathematics
2 answers:
Sophie [7]2 years ago
5 0

Answer:he can buy 4 tickets

Bond [772]2 years ago
4 0

Answer:

4 rides

Step-by-step explanation:

36.75-10.5= 26.25    cost of admission

26.25 divded by 5.5= 4.7777777

so 4 rides with left over change

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Alexis saves up her monthly allowance over a period of six months to buy a pair of high-resolution headphones. She lends her fri
Anika [276]
Her monthly allowance should be $41.50
6 0
3 years ago
Read 2 more answers
Diana works in a building that is 130 feet tall. She is outside, looking up at the building at an angle of 37° from her feet to
prohojiy [21]

Answer: 17.6 facetime

Step-by-step explanation: just did the assignment and it was right

8 0
3 years ago
The perimeter of a rectangle is 46 m if the with were doubled and on length were increased by 5 their perimeter would be 66 what
Kamila [148]

Answer:

18 and 5

Step-by-step explanation:

if 'x' - is the length and 'y' - the width of the rectangle, then

2(x+y)=46 - perimeter of the original rectangle and 2(2x+(y+5))=66 - the perimeter of the new rectangle.

\left \{ {{x+y=23} \atop {2x+y=28}} \right. \=> \ \left \{ {{x=5} \atop {y=18}} \right.

Finally, the length is x=5 and the width is y=18.

8 0
3 years ago
Change the equation of the circle x^2+14x+y^2-10y=14x 2 + 14 x + y 2 − 10 y = 14 into center-radius form of a circle.
jonny [76]

Answer:

The answer to your question is      (x + 7)² + (y - 5)² = 88

Step-by-step explanation:

Equation

                     x²  +  14x  +  y²  - 10y   =  14

Complete perfect trinomial squares

                     x² + 14x + (7)² + y² - 10y + (5)² = 14 + (7)² + (5)²

Simplify

                     x² + 14x + (7)² + y² - 10y + (5)² = 14 + 49 + 25

                     x² + 14x + (7)² + y² - 10y + (5)² = 88

Factor

                     (x + 7)² + (y - 5)² = 88   This is the equation in the form

                     center-radius

7 0
3 years ago
In the past, 21% of all homes with a stay-at-home parent, the father is the stay-at-home parent. An independent research firm ha
Afina-wow [57]

Answer:

A sample size of 79 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

\pi = 0.21

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.  

What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.09?

A sample size of n is needed.

n is found when M = 0.09. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.09 = 1.96\sqrt{\frac{0.21*0.79}{n}}

0.09\sqrt{n} = 1.96\sqrt{0.21*0.79}

\sqrt{n} = \frac{1.96\sqrt{0.21*0.79}}{0.09}

(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.21*0.79}}{0.09})^{2}

n = 78.68

Rounding up to the nearest whole number.

A sample size of 79 is needed.

4 0
3 years ago
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