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gayaneshka [121]

2 years ago

15

There is a one-time fee of $50 to join a gym. If the monthly membership fee is $28, how much will you have spent after 3 months

of your membership?

1 answer:

ArbitrLikvidat [17]2 years ago

4 0

It would be $134
28 x 3 = 84
84 + 50 = 134

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What is the value of the y-coordinate of point A?

ycow [4]

Answer:

C.) sin(11pi/6)

Step-by-step explanation:

construct triangle with a side perpendicular to x-axis

y=(-1)sin(pi/6)

y=sin(-pi/6)

y=sin((-pi/6)+2pi)

y=sin(11pi/6)

8 0

3 years ago

Solve −2x − 15 = 6x + 9.

Sindrei [870]

Answer: $x=-3$

Step-by-step explanation:

Given the equation:

$-2x - 15 = 6x + 9$

You must solve for "x" to find its value.

You can follow these steps:

- Add $2x$ to both sides of the equation:

$-2x - 15+2x= 6x + 9+2x$

$- 15 = 8x +9$

- Subtract 9 from both sides of the equation:

$- 15-9 = 8x +9-9$

$-24 = 8x$

- Divide both sides of the equation by 8. Then you get:

$\frac{-24}{8}=\frac{8x}{8}\\\\x=-3$

6 0

3 years ago

Calculate the length of the circumference of a circle with diameter of 7cm? ~3

DaniilM [7]

The calculation for circumference is 2πr or 2 × π (pi=3.14) × radius of a circle

Since the diameter of this circle is 7cm, and the radius is half of the diameter, 7 ÷ 2 = 3.5

So, 2×3.14(π)×3.5=21.98

6 0

3 years ago

Read 2 more answers

In 1998, as an advertising campaign, the Nabisco Company announced a "1000 Chips Challenge," claiming that every 18-ounce bag of

Phoenix [80]

Answer:

A 95% confidence interval for the mean number of chips in a bag of Chips Ahoy Cookies is [1187.96, 1288.44].

Step-by-step explanation:

We are given that statistics students at the Air Force Academy (no kidding) purchased some randomly selected bags of cookies and counted the chocolate chips.

Some of their data are given below; 1219, 1214, 1087, 1200, 1419, 1121, 1325, 1345, 1244, 1258, 1356, 1132, 1191, 1270, 1295, 1135.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean number of chocolate chips = $\frac{\sum X}{n}$ = 1238.2

s = sample standard deviation = $\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }$ = 94.3

n = sample of car drivers = 16

$\mu$ = population mean number of chips in a bag

<em>Here for constructing a 95% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation.</em>

<u>So, 95% confidence interval for the population mean, </u> $\mu$ <u> is ;</u>

P(-2.131 < $t_1_5$ < 2.131) = 0.95 {As the critical value of t at 15 degrees of

freedom are -2.131 & 2.131 with P = 2.5%}

P(-2.131 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 2.131) = 0.95

P( $-2.131 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $2.131 \times {\frac{s}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-2.131 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+2.131 \times {\frac{s}{\sqrt{n} } }$ ) = 0.95

<u>95% confidence interval for</u> $\mu$ = [ $\bar X-2.131 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+2.131 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $1238.2-2.131 \times {\frac{94.3}{\sqrt{16} } }$ , $1238.2+2.131 \times {\frac{94.3}{\sqrt{16} } }$ ]

= [1187.96, 1288.44]

Therefore, a 95% confidence interval for the mean number of chips in a bag of Chips Ahoy Cookies is [1187.96, 1288.44].

7 0

3 years ago

In the figure, if CD = 15 cm, then BC ≈ cm.

Alona [7]

Check the picture below.

make sure your calculator is in Degree mode, since the angles are in degrees.

3 0

3 years ago

Read 2 more answers