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3 years ago

5

Dylan draws up a plan to fence in a yard for his chickens. This distance between grid lines is 1 foot. A. Is 30 feet of fencing

enough to enclose the yard?

1 answer:

Mazyrski [523]3 years ago

3 0

No it definitely is not

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The sparky valley barbershop quartet made appearances in Quakertown and Doleystown. The hotel charge before taxes in Doleystown

joja [24]

Answer:

The hotel at Qakertown charged $5000 before tax while the hotel at Doleystown charged $5,500 before tax

Step-by-step explanation:

In this question, we have a musical band that visited two different towns which hotel charge different amounts at different tax rate. We are now given the total amount in taxes and now asked to calculate what is charged in each of the towns.

Let’s proceed!

Since we do not know the amount charged in each of the towns, let the amount charged at the hotel at Quakertown be $x and the amount charged at the hotel at Doleytown be $y.

Doley charged $500 more then what is charged at Quaker.

Mathematically;

y = 500 + x •••••••••••••••(I)

Let’s now work with the taxes;

Tax rate at Doley is 6% or say 0.06; the amount of tax paid at Doley is thus 0.06y

Tax rate at Quaker is 3% or say 0.03; the amount of tax paid at Quaker is thus 0.03x

Mathematically;

0.06y + 0.03x= 480 •••••••••(ii)

We can substitute i into ii

0.06(500 + x ) + 0.03x = 480

30+ 0.06x + 0.03x = 480

30 + 0.09x = 480

0.09x = 480 - 30

0.09x = 450

x = 450/0.09

x = $5,000

y = 500 + x

y = 500 + $5000 = $5,500

5 0

3 years ago

A professor at a local university noted that the grades of her students were normally distributed with a mean of 78 and a standa

dimulka [17.4K]

Answer:

The minimum score needed to receive a grade of A is 87.74.

Step-by-step explanation:

We are given that a professor at a local university noted that the grades of her students were normally distributed with a mean of 78 and a standard deviation of 10.

The professor has informed us that 16.6 percent of her students received grades of A.

<u><em /></u>

<u><em>Let X = grades of the students</em></u>

SO, X ~ Normal( $\mu=78,\sigma^{2} =10^{2}$ )

The z-score probability distribution for normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = mean grades = 78

$\sigma$ = standard deviation = 10

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

<u>Now, we are given that the professor has informed us that 16.6 percent of her students received grades of A, so the minimum score needed to receive grade A is given by;</u>

P(X $\geq$ x) = 0.166 {where x is the required minimum score needed}

P( $\frac{X-\mu}{\sigma}$ $\geq$ $\frac{x-78}{10}$ ) = 0.166

P(Z $\geq$ $\frac{x-78}{10}$ ) = 0.166

<em>So, the critical value of x in the z table which represents the top 16.6% of the area is given as 0.9741, that is;</em>

<em> </em> $\frac{x-78}{10} =0.9741$

${x-78}{} =0.9741\times 10$

<em> </em> $x$ = 78 + 9.741 = <u>87.74</u>

Hence, the minimum score needed to receive a grade of A is 87.74.

4 0

3 years ago

The equation I wrote was F=9/5C+32 Rearrange the equation and solve for C

Trava [24]

F=9/5C+32
rewrite as 9/5C+32=F
9/5C+32-32=F-32
9/5C=F-32
(5*9/5)C=(F-32)*5
9C=5F-160
9/9C=(5F-160)/9
C=(5F-160)/9

4 0

3 years ago

Draw a line representing the “rise” and a line representing the “run” of the line. State the slope of the line in simplest form.

Oksanka [162]

The slope of the line in its simplest form is 3.

The slope of a line is $Slope=\frac{Rise}{Run}$ .

We need to find the slope of the line in its simplest form.

<h3>What is the slope?</h3>

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope is often denoted by the letter m; there is no clear answer to the question of why the letter m is used for slope.

Select any two points on the line like A and B.

From the below figure it is clear that

Rise = Change in y = -2-(-5) = 3

Run = Change in x = 9-0 = 9

Now, $\frac{9}{3} =3$

Therefore, the slope of the line in simplest form is 3.

To learn more about the slope visit:

brainly.com/question/3605446.

#SPJ1

6 0

2 years ago

Ya'll how do I graph this? I haven't graphed anything in 3 years

Artyom0805 [142]

Answer:

I hope you get it .............

4 0

3 years ago