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The perimeter of a certain soccer field is 310 m. The length is 65 m more than the width. What are the dimensions?

Dmitriy789 [7]

Answer:

50x105m

Step-by-step explanation:

310 (length of field) - 65-65= 200/4=50

Start with the perimeter subtract 65 twice because the length is on two sides. Now the length and width will be equal so divide by 4. Add 65 back because you subtracted it earlier.

3 0

3 years ago

PLEASE HELP ME WHOEVER HELPS I WILL MARK BRAINLEST :)

julsineya [31]

Remember the shortcut way for graphing quadratic equations

A quadratic function has graph as parabola
Hence on both sides of vertex the parabola is symmetric and axis of symmetry is vertex x values .
y on both sides for -x and +x is same

#1

y=2(x-3)²-1

Vertex

(h,k)=(3,-1)

As a is positive parabola facing upwards

Find y for same x distance from vertex

I took 3-1=2 and 3+1=4

f(2)=2(2-3)²-1=2(-1)²-1=2-1=1
f(4)=2(4-3)²-1=1

Now plot vertex and these two points (2,1) and (4,1) on graph then draw a parabola by freehand

#2

y=(x-2)(x+4)
y=x²+4x-2x-8
y=x²+2x-8

Convert to vertex form

y=x²+2x+1-9
y=(x+1)²-9

Vertex at (-1,-9)

Same take two equidistant x values

Let's take -1-1=-2 and -1+1 =0

f(-2)=(-2+1)²-9=1-9=-8
f(0)=(1)²-9=-8

Put (-1,-9),(-2,-8),(0,-8) on graph and draw a freehand parabola

#3.

Yes it can be verified by finding the coordinate theoretically on putting them on function then can be verified through putting them on graph whether they matches or not

8 0

2 years ago

Assume that you plan to use a significance level of alpha α equals =0.05 to test the claim that p 1 p1 equals = p 2 p2. Use the

stiks02 [169]

Answer:

z=3.536

$\hat p=0.204$

$p_v =2*P(Z>3.54)\approx 0.0004$

Step-by-step explanation:

1) Data given and notation

$X_{1}=172$ represent the number of people with the characteristic 1

$X_{2}=356$ represent the number of people with the characteristic 2

$n_{1}=677$ sample 1 selected

$n_{2}=3377$ sample 2 selected

$p_{1}=\frac{172}{677}=0.254$ represent the proportion estimated for the sample 1

$p_{2}=\frac{654}{3377}=0.194$ represent the proportion estimated for the sample 2

$\hat p$ represent the pooled estimate of p

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

$\alpha=0.05$ significance level given

2) Concepts and formulas to use

We need to conduct a hypothesis in order to check if is there is a difference between the two proportions, the system of hypothesis would be:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{172+654}{677+3377}=0.204$

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

3) Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.254-0.194}{\sqrt{0.204(1-0.204)(\frac{1}{677}+\frac{1}{3377})}}=3.536$

4) Statistical decision

Since is a two side test the p value would be:

$p_v =2*P(Z>3.54)\approx 0.0004$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to to reject the null hypothesis, and we can say that the proportion analyzed is significantly different between the two groups.

6 0

4 years ago

What’s the slope of a line perpendicular to a line through points, <br> E(5,7), F(3,1)

juin [17]

Answer:

-1/3 is the slope perpendicular

Step-by-step explanation:

When we have 2 points, we can use the formula

m = (y2-y1)/(x2-x1) to find the slope

m = (1-7)/(3-5)

=-6/-2

=3

The slope is 3

We want a slope perpendicular

Remember that is the negative reciprocal

- (1/3)

-1/3

5 0

3 years ago

Read 2 more answers

Which expression results in a rational number?

Elodia [21]

Answer:

4

the fourth expression is a rational

8 0

3 years ago

Read 2 more answers