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3 years ago

ASAP PLEASE!!!! What is an equation for the line with slope 2/3 and y-intercept 9?

Mathematics

2 answers:

Ainat [17]3 years ago

7 0

Y=2/3x+9 the answer is C

Sergio [31]3 years ago

4 0

Answer:

$\mathrm{C.\:}y=\frac{2}{3}x+9$

Step-by-step explanation:

In slope-intercept form, the equation of a line is $y=mx+b$ where $m$ is the slope and $b$ is the y-intercept. Plugging in given values, the equation of the is $\fbox{$y=\frac{2}{3}x+9$}$ .

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I dont understand how to do this

Airida [17]

The statement EF=2.GF (Option A) and the statement

$\frac{\sqrt{3} }{2} .EF=GE$ (Option C) are true for the ΔEFG.

<h3>What are trigonometric ratios?</h3>

The six trigonometric ratios of a right-angle triangle are Sin, Cos, Tan, Cosec, Sec and Cot. Trigonometric ratios are used to measure the sides of the right triangle.

Given that in ΔEFG, m∠E=30°, m∠F=60° and m∠G=90°.

Wow, sin 30° $=\frac{GF}{EF}$

⇒ $\frac{1}{2} =\frac{GF}{EF}$

⇒EF=2.GF

and sin 60° $=\frac{GE}{EF}$

⇒ $\frac{\sqrt{3} }{2} =\frac{GE}{EF}$

⇒ $\frac{\sqrt{3} }{2} .EF=GE$

Therefore, the statement EF=2.GF (Option A) and the statement $\frac{\sqrt{3} }{2} .EF=GE$ (Option C) are true for the ΔEFG.

To learn more about trigonometric ratios visit:

brainly.com/question/1201366.

#SPJ1

6 0

2 years ago

35 words to 115 words. Percent change??

FrozenT [24]

Answer:

328.57% increase

Step-by-step explanation:

(35/115)*100

6 0

4 years ago

What is the slope of a line that passes through the points (5, 12) and (8, -1)

Pachacha [2.7K]

Answer:

m = -4.33333 or -4 and 1/3

Step-by-step explanation:

gradient = (difference in y)/(difference in X)

m = (-1-12)/(8-5)

m = -13/3

m = -4.3333333

4 0

3 years ago

Katie had 4 full cement blocks and one that was 4⁄6 the normal size. If each full block weighed 3 2⁄4 pounds, what is the weight

sveta [45]

Answer:

The weight of the block that Katie has is 16 1/3 pounds

Step-by-step explanation:

Katie has: 4 full cement blocks and 4/6 (or 2/3 ) of the normal size of a cement block

For one full block, it weighs 3 2/4 ( or 1/2) pounds, if you want to find the answer of the question, you need to multiply the weight with the cement blocks that Katie have.

First do the four full cement blocks:

4 * 3 2/4 = ?

4 * 14/4 = ?

Cancel the 4 that is being multiplied and the 4 that is being divided by 14.

= 14.

Now do the 4/6 (or 2/3) cement block:

2/3 * 3 2/4 = ?

2/3 * 14/4 = ?

Multiply the fractions together:

= 28/12

= 2 1/3

Finally, you add up the full blocks and the 2/3 cement block to get your answer:

2 1/3 + 14 = 16 1/3

The weight of the block that Katie has is 16 1/3 pounds

4 0

4 years ago

a regional manager is comparing customer satisfaction ratings at two of its stores. 100 customer rattings from each store are ra

zhuklara [117]

Answer:

Yes, there is a significant difference in customer satisfaction ratings at the two stores

The P-value is P=0.000.

Step-by-step explanation:

The question is incomplete:

The store A has a sample mean of 4.05 and a sample standard deviation of 0.039. The store B has a sample mean of 3.99 and a sample standard deviation of 0.025.

We have to perform an hypothesis test for the difference between means.

The claim will state that satisfaction ratings differ. So, the null and alternative hypothesis are:

$H_0: \mu_1-\mu2=0\\\\H_a: \mu_1-\mu2\neq0$

being μ1: the actual staisfaction rating of store A, and μ2: the actual satisfaction rating of store B.

The significance level is 0.05.

We know that, for both samples, the sample size is n=100.

The difference between means is:

$M_d=\mu_1-\mu_2=4.05-3.99=0.06$

The standard error of the diffence between means is calculated as:

$s_M=\sqrt{\dfrac{s_1^2+s_2^2}{n}}=\sqrt{\dfrac{0.039^2+0.025^2}{100}}=\sqrt{\dfrac{0.0021}{100}}=\sqrt{0.000021}=0.0046$

The z-statistic can be calculated as:

$z=\dfrac{M_d-(\mu_1-\mu_2)}{s_M}=\dfrac{0.06-0}{0.0046}=13.04$

The P-value for this test statistic in a two tailed test is

$P-value=2P(z>13.04)=0.000$

The P-value is smaller than the significance level, so the effect is significant. The null hypothesis is rejected.

There is enough evidence that the customer satisfaction rating differs from store A to store B.

7 0

4 years ago