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3 years ago

A line contains the points P(1, 1) and Q(7, 10). What is the slope of the line?

Mathematics

1 answer:

lana66690 [7]3 years ago

7 0

Answer and work down below. Let me know if you have any questions

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The vertex form of the equation of a parabola is y = (x - 3)2 + 36.

IrinaVladis [17]

- B. y = x2 - 6x + 45

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2 years ago

A candy company claims that its jelly bean mix contains 15% blue jelly beans. Suppose that the candies are packaged at random in

I am Lyosha [343]

Answer:

Doubtful.

Step-by-step explanation:

Our values are,

$P=0.15 \rightarrow 15\%$ Jelly Bean Mix.

The sample for us is n=200

And our proportion (x) is 40 .

We can calculate with this dates the sample proportion and make he test statistic.

$p=\frac{x}{n} = \frac{40}{200} = 0.20$

$H_0:P=0.15$

$H_1:P \neq 0.15$

We use the formula for Test statistic, that is given by,

$z= \frac{p-P}{\sqrt{\frac{P-(1-P)}{n}}}$

$z= \frac{0.20-0.15}{\sqrt{\frac{0.15(1-0.15)}{200}}}$

$z= 1.98$

We see that our P-value: 0.048 (From the Table)

We note that p-value is less than 0.05, so we should to rejecyt the null hypothesis and conclude that the calim is doubtful

4 0

2 years ago

You have $30 to spend on gas for your vehicle this week. If gas costs $2.42 per gallon, how many gallons of gas can you buy? Rou

BartSMP [9]

Answer:

you can get 12 gallons on gas

Step-by-step explanation:

x/30=1/2.42

step 1) cross multiply

x * 2.42 = 1 * 30

2.42x=30

step 2) divide both sides by 2.42

2.42x/2.42 = 30/2.42

= 12.396694

round to the nearest gallon

≈12 gallons

5 0

3 years ago

PLEASE HELP ME I'M GIVING 20PTS AND MARKING BRAINLIEST!!!!

pishuonlain [190]

Using a trigonometric identity, it is found that the values of the cosine and the tangent of the angle are given by:

$\cos{\theta} = \pm \frac{2\sqrt{2}}{3}$

$\tan{\theta} = \pm \frac{\sqrt{2}}{4}$

<h3>What is the trigonometric identity using in this problem?</h3>

The identity that relates the sine squared and the cosine squared of the angle, as follows:

$\sin^{2}{\theta} + \cos^{2}{\theta} = 1$

In this problem, we have that the sine is given by:

$\sin{\theta} = \frac{1}{3}$

Hence, applying the identity, the cosine is given as follows:

$\cos^2{\theta} = 1 - \sin^2{\theta}$

$\cos^2{\theta} = 1 - \left(\frac{1}{3}\right)^2$

$\cos^2{\theta} = 1 - \frac{1}{9}$

$\cos^2{\theta} = \frac{8}{9}$

$\cos{\theta} = \pm \sqrt{\frac{8}{9}}$

$\cos{\theta} = \pm \frac{2\sqrt{2}}{3}$

The tangent is given by the sine divided by the cosine, hence:

$\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}$

$\tan{\theta} = \frac{\frac{1}{3}}{\pm \frac{2\sqrt{2}}{3}}$

$\tan{\theta} = \pm \frac{1}{2\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}}$

$\tan{\theta} = \pm \frac{\sqrt{2}}{4}$

More can be learned about trigonometric identities at brainly.com/question/24496175

#SPJ1

5 0

2 years ago

Can someone please help me?

oksano4ka [1.4K]

1) 12
2) 2y
3) 12+2y
4) 12+2y

8 0

2 years ago

Read 2 more answers