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Anna71 [15]
3 years ago
5

!!!!!!

Mathematics
1 answer:
juin [17]3 years ago
6 0

Answer:

required Value of x is x=8

Step-by-step explanation:

We are given two points: (5,8) and (x,14) and slope =2 . We need to find value of x.

The formula used to find slope is: Slope=\frac{y_2-y_1}{x_2-x_1}

We are given slope =2 , x₁=5, y₁=8, x₂=x, y₂=14

So, we actually need to find value of x₂. Putting values in formula and find value of x

Slope=\frac{y_2-y_1}{x_2-x_1}\\2=\frac{14-8}{x-5}\\Solving:\\2(x-5)=6\\2x-10=6\\2x=6+10\\2x=16\\x=\frac{16}{2}\\x=8

So, required value of x=8

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I answered this but i couldn’t take multiple pictures. however i found a website with the same answer as me after i answered your question. here : https://www.quora.com/How-do-I-integrate-Integrate-sinxdx-sin-3x+cos-3x
3 0
2 years ago
Tony’s Electronics is marking down the price of a TV 23% from the original price of $175. Which expression can be used to find t
Arlecino [84]

Answer:

The sale price is \$134.75

The expression is \$175(0.77)

Step-by-step explanation:

we know that

The sale price is equal to subtract the discount price from the original price

The discount price is equal to multiply the original price by the percent discount in decimal form

Let

x ----> the sale price

y ---> discount price

23\%=23/100=0.23 ----> percent discount in decimal form

y=\$175(0.23)=\$40.25

x=\$175-y

substitute

x=\$175-\$40.25=\$134.75

therefore

the expression is

175-0.23(175)\\175(1-0.23)\\175(0.77)

3 0
3 years ago
Read 2 more answers
According to the Vivino website, suppose the mean price for a bottle of red wine that scores 4.0 or higher on the Vivino Rating
Natali [406]

Answer:

a) Null and alternative hypothesis

H_0: \mu=32.48\\\\H_a:\mu< 32.48

b) Test statistic t=-1.565

P-value = 0.0612

NOTE: the sample size is n=65.

c) Do not reject H0. We cannot conclude that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.

d) Null and alternative hypothesis

H_0: \mu=32.48\\\\H_a:\mu< 32.48

Test statistic t=-1.565

Critical value tc=-1.669

t>tc --> Do not reject H0

Do not reject H0. We cannot conclude that the price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.

Then, the null and alternative hypothesis are:

H_0: \mu=32.48\\\\H_a:\mu< 32.48

The significance level is 0.05.

The sample has a size n=65.

The sample mean is M=30.15.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=12.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{12}{\sqrt{65}}=1.4884

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{30.15-32.48}{1.4884}=\dfrac{-2.33}{1.4884}=-1.565

The degrees of freedom for this sample size are:

df=n-1=65-1=64

This test is a left-tailed test, with 64 degrees of freedom and t=-1.565, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t

As the P-value (0.0612) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

At a significance level of 0.05, there is not enough evidence to support the claim that the mean price in Providence for a bottle of red wine that scores 4.0 or higher on the Vivino Rating System is less than the population mean of $32.48.

<u>Critical value approach</u>

<u></u>

At a significance level of 0.05, for a left-tailed test, with 64 degrees of freedom, the critical value is t=-1.669.

As the test statistic is greater than the critical value, it falls in the acceptance region.

The null hypothesis failed to be rejected.

6 0
3 years ago
Name the 7 deadly sins.
arlik [135]

Answer:

1. Lust

2. Gluttony

3. Greed

4. Sloth

5. Wrath

6. Envy

7. Pride

3 0
3 years ago
Read 2 more answers
A sector with a radius of 6 cm has a central angle measure of 4pi/9 (in radians). What is the area of the sector?
Usimov [2.4K]

Answer:

The area of the sector is 25.1327 cm²

Step-by-step explanation:

The area of a sector of circunference delimited by an angle in radians can be calculated by using the formula below:

area = (angle*r²)/2

area = [(4*pi/9)*(6)²]/2

area = [(4*pi/9)*36]/2

area = (144*pi/9)/2

area =  144*pi/18

area = 8*pi

area = 25.1327 cm²

The area of the sector is 25.1327 cm²

8 0
3 years ago
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