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3 years ago

In ΔABC, m∠CAB = 60° and

Mathematics

1 answer:

eimsori [14]3 years ago

7 0

The distance from D to the closest point on either side will be ...

... (8 ft)·sin(60°/2) = 4 ft

Both distances are 4 ft.

_____

It isn't really clear that you don't want the distance along line BC; rather, you want the direct shortest distance to the side. For that, sufficient information is given.

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A farmer has a circular shaped field. Fertilizer

Aleonysh [2.5K]

Answer:

It will be $5 per square yard

Step-by-step explanation:

4 0

3 years ago

Plz help asap !! The high school jazz band is selling homemade leather bracelets at a local craft fair to raise money for a trip

torisob [31]

Answer:

y = 2x - 200

Step-by-step explanation:

The function type that would model this relationship is linear because for each bracelet sold, the jazz band would increase their profit by $2. Since it has a consistent rate, it is linear. Using the slope-intercept formula of y = mx + b, where 'm' is the rate and 'b' is the initial value, you can use $2 for the rate or cost per bracelet and -$200 for the initial value or cost of supplies:

y = 2x - 200, where '2' is the cost per bracelet, 'x' the number of bracelets sold, '-200' is the cost for supplies and 'y' is the profit.

6 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

What is the slope of a line perpendicular to the line whose equation is 4x+5y=354x+5y=35. Fully simplify your answer.

IrinaK [193]

The perpendicular slope is expressed as the negative reciprocal of the slope or − 1 m. In this scenario, the slope, or m, is −4 so the slope of the perpendicular line is − 1 −4 which simplifies to 1 4

5 0

2 years ago

What is the correct answer?

vesna_86 [32]

Answer:

Step-by-step explanation:

The volume of a rectangular prism is V=lwh

x+4=L

x+1=W

x+6=H

Thus:

(x+4)(x+1)(x+6)

(x^2+5x+4)(x+6)

x^3+5x^2+4x+6x^2+30x+24

x^3+11x^2+34x+24

Therefore, the correct answer is (C) x^3+11x^2+34x+24

7 0

3 years ago