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3 years ago

Help me find the y-intercept The slope The equation of the line Please

Mathematics

2 answers:

kramer3 years ago

4 0

Answer:

Y Intercept: 10 Slope=2 y=2x+1

Step-by-step explanation:

Y intercept is when the line touches the y axis, which in this case is 10.

Rise over run: 2/1 (2)

y=mx+b (point slope formula)

Doss [256]3 years ago

3 0

Answer:

y = 2x + 10

Step-by-step explanation:

The y-intercept is where the line touches the y-axis.

The slope is it's rise/run.

The equation of a line is y = mx + b where m is slope and b is the y-intercept.

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Shortbread fingers

allsm [11]

Step-by-step explanation:

120/20=6g

50/20=2.5g

170/20=8.5g

for one shortbread ^^

6*50=300g

2.5*50=125g

8.5*50=425g

for 50 shortbread ^^

6 0

2 years ago

In studies for a medication, 3 percent of patients gained weight as a side effect. Suppose 643 patients are randomly selected.

timofeeve [1]

Part a)

It was given that 3% of patients gained weight as a side effect.

This means

$p = 0.03$

$q = 1 - 0.03 = 0.97$

The mean is

$\mu = np$

$\mu = 643 \times 0.03 = 19.29$

The standard deviation is

$\sigma = \sqrt{npq}$

$\sigma = \sqrt{643 \times 0.03 \times 0.97}$

$\sigma =4.33$

We want to find the probability that exactly 24 patients will gain weight as side effect.

P(X=24)

We apply the Continuity Correction Factor(CCF)

P(24-0.5<X<24+0.5)=P(23.5<X<24.5)

We convert to z-scores.

$P(23.5 \: < \: X \: < \: 24.5) = P( \frac{23.5 - 19.29}{4.33} \: < \: z \: < \: \frac{24.5 - 19.29}{4.33} ) \\ = P( 0.97\: < \: z \: < \: 1.20) \\ = 0.051$

Part b) We want to find the probability that 24 or fewer patients will gain weight as a side effect.

P(X≤24)

We apply the continuity correction factor to get;

P(X<24+0.5)=P(X<24.5)

We convert to z-scores to get:

$P(X \: < \: 24.5) = P(z \: < \: \frac{24.5 - 19.29}{4.33} ) \\ = P(z \: < \: 1.20) \\ = 0.8849$

Part c)

We want to find the probability that

11 or more patients will gain weight as a side effect.

P(X≥11)

Apply correction factor to get:

P(X>11-0.5)=P(X>10.5)

We convert to z-scores:

$P(X \: > \: 10.5) = P(z \: > \: \frac{10.5 - 19.29}{4.33} ) \\ = P(z \: > \: - 2.03)$

$= 0.9788$

Part d)

We want to find the probability that:

between 24 and 28, inclusive, will gain weight as a side effect.

P(24≤X≤28)=

P(23.5≤X≤28.5)

Convert to z-scores:

$P(23.5 \: < \: X \: < \: 28.5) = P( \frac{23.5 - 19.29}{4.33} \: < \: z \: < \: \frac{28.5 - 19.29}{4.33} ) \\ = P( 0.97\: < \: z \: < \: 2.13) \\ = 0.1494$

3 0

3 years ago

Shawn's Breakfast Goodies recently sold 3 blueberry muffins and 3 other muffins. What is the experimental probability that the n

katovenus [111]

Answer:

The experimental probability can be expressed in three ways:

Fraction Form: 3/6 or 1/2

Decimal Form: 0.5

Percent Form: 50%

Step-by-step explanation:

Experimental probability is expressed as:

(Favorable outcomes) / (Total outcomes)

The favorable outcome in this situation is blubbery muffins. There were 3 blueberry muffins sold, so this is the numerator of our fraction.

To find the total outcomes we add 3 + 3, which equals 6. This will be the denominator of our fraction.

The fraction used to express experimental probability will look like this: 3/6

We can further simplify this to 1/2.

3 ÷ 3 = 1

6 ÷ 3 = 2

To find a decimal, we divide 1 ÷ 2 = 0.5

Multiply this by 100 to get a percentage, 0.5 x 100 = 50%

3 0

3 years ago

George went to the supermarket and he bought bananas for his monkeys. They were $5.99. He got a family discount because his wife

BlackZzzverrR [31]

Answer:

$4.49

Step-by-step explanation:

If bananas are $5.99, we need to find 75% of the price, or 25% off. There are two ways we can do this, I'll show the more detailed way. First, we multiply 5.99 by .25 to find 25% of it. We got ~1.50. This means that 25% of 5.99 is 1.50. Now, we take away 1.50 from 5.99. This gets us $4.49. That means the price of the bananas with the discount is $4.49. The other way we can do this is multiply 5.99 and .75 (because 25+75=100). This gets us 4.4925, which rounds to $4.49. I hope this helps!

7 0

3 years ago

Read 2 more answers

Please helpppppppppp include step by step

balandron [24]

Answer:

507

Step-by-step explanation:

As they said, I will be using 3 as pi.

$3$ (pi) $* (\frac{26}{2})^2$ (radius squared)

Without annotations: $3*\frac{26}{2}^2$