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liubo4ka [24]
3 years ago
8

PLEASE HELP!! g(r)=25−3r G(4)=

Mathematics
2 answers:
Lostsunrise [7]3 years ago
8 0

Answer:

13

Step-by-step explanation:

goldenfox [79]3 years ago
3 0

Answer:

13

Step-by-step explanation:

g(r)=25−3r

Let r=4

G(4)= 25 - 3(4)

      = 25 -12

      = 13

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OleMash [197]
13/14 is already in simplest form because they have no common factors.
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Chris and 3 friends shared 3/4 of a bag of popcorn equally. How much popcorn did each person get?
koban [17]

Answer: 3/16 of the bag

Step-by-step explanation: 3/4 divided by 4 is the same as 3/4 * 1/4 which is 3/16

4 0
3 years ago
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Please help!!!! will mark brainlest
fomenos

Answer: B. 84 in²

Step-by-step explanation:

Divide the area into two regions: a rectangle and a trapezoid (depicted in the attached photo).

Find the area of the rectangle:

Area of a rectangle=length*width

Area of rectangle=(5 in)( 10 in)

Area of rectangle=50 in²

Next, calculate the area of the trapezoid:

Area of trapezoid=\frac{h(b_{1} +b_{2}) }{2}

h=10 in-6 in

h=4 in

b_{1} =15 in

b_{2} =15 in-5 in

b_{2} =10 in

Area of trapezoid=\frac{4in(7 in+10in)}{2}

Area of trapezoid=\frac{4(17in^{2})  }{2}

Area of trapezoid=\frac{68in^{2} }{2}

Area of trapezoid=34in^{2}

Add the area of the trapezoid to the area of the rectangle to find the total area: 50 in²+34 in²=84 in²

3 0
3 years ago
The scores of individual students on the American College Testing (ACT) Program College Entrance Exam have a normal distribution
tekilochka [14]

Answer:

The probability that the average of the scores of all 400 students exceeds 19.0 is larger than the probability that a single student has a score exceeding 19.0

Step-by-step explanation:

Xi~N(18.6, 6.0), n=400, Yi~Ber(p); Z~N(0, 1);

P(0\leq X\leq 19.0)=P(\frac{0-\mu}{\sigma} \leq \frac{X-\mu}{\sigma}\leq \frac{19-\mu}{\sigma}), Z= \frac{X-\mu}{\sigma}, \mu=18.6, \sigma=6.0

P(-3.1\leq Z\leq 0.0667)=\Phi(0.0667)-\Phi (-3.1)=\Phi(0.0667)-(1-\Phi (3.1))=0.52790+0.99903-1=0.52693

P(Xi≥19.0)=0.473

\{Yi=0, Xi<  19\\Yi=1, Xi\geq  19\}

p=0.473

Yi~Ber(0.473)

P(\frac{1}{n}\displaystyle\sum_{i=1}^{n}X_i\geq 19)=P(\displaystyle\sum_{i=1}^{400}X_i\geq 7600)

Based on the Central Limit Theorem:

\displaystyle\sum_{i=1}^{n}X_i\~{}N(n\mu, \sqrt{n}\sigma),\displaystyle\sum_{i=1}^{400}X_i\~{}N(7440, 372)

Then:

P(\displaystyle\sum_{i=1}^{400}X_i\geq 7600)=1-P(0

P(\displaystyle\sum_{i=1}^{n}Y_i=1)=P(\displaystyle\sum_{i=1}^{400}Y_i=1)

Based on the Central Limit Theorem:

\displaystyle\sum_{i=1}^{400}Y_i\~{}N(400\times 0.473, \sqrt{400}\times 0.499)=\displaystyle\sum_{i=1}^{400}Y_i\~{}N(189.2; 9.98)

P(\displaystyle\sum_{i=1}^{400}Y_i=1)\~{=}P(0.5

Then:

the probability that the average of the scores of all 400 students exceeds 19.0 is larger than the probability that a single student has a score exceeding 19.0

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Ierofanga [76]

Answer:

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Slope-intercept is defined <em>y = mx + b</em>

Where m = slope (change in y-coordinate/ change in x-coordinate)

and b = y-intercept (where the graph crosses the y-axis)

For every 1 unit the line moves horizontally... it travels 3 units vertically. Therefore the slope (m) equals 3/1 or 3

The line crosses the y-axis at -4. Therefore... the y-intercept (b) is -4

I hope this helps!

8 0
3 years ago
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