Help!!!! please!! i’m confused of this.

I cannot find the answer to this can someone please help me

dlinn [17]

Answer:

A = 1,144 ft²

Step-by-step explanation:

The base of the quadrilateral is also x. We know this since there are 2 90° angles, there fore the other 2 angles are also 90°, making the top and bottom sides of the quadrilateral parallel to each other, and equal in measure.

Since the entire base of the yard is 2x, the base of the triangle is x.

The area of the triangle is

A = (1/2)bh where b is the base, and h is the height

For this example...

A = (1/2)x(44) (x is the base, and 44 is the height)

So

A = (1/2)(44)x

A = 22x

The area of the quadrilateral is

A = LW

A = 44x

The total area of the yard is

A = 22x + 44x

A = 66x

We are told that the entire area is 3,462. so

3,462 = 66x now solve for 'x'

3,462/66 = x (divide both sides by 66)

52 = x

So the area of the picnic tables is the area of the triangle, which is

A = 22(52) = 1,144 ft²

5 0

4 years ago

Kara has 21 collectible buttons to sell. She sells the small buttons for $3 and the large buttons for $4, and earns a total of $

Sergeeva-Olga [200]

The best and most correct answer among the choices provided by your question is the first choice or letter A. The systems of equations can be used to calculate the number of large and small buttons sold are:

x + y = 21
3x + 4y = 68

I hope my answer has come to your help. Thank you for posting your question here in Brainly.

3 0

3 years ago

Find the possible values of r in the inequality 5 > r - 3.

ioda

The answer to this question is A

3 0

4 years ago

Read 2 more answers

In 2008, there were 507 children in Arizona out of 32,601 who were diagnosed with Autism Spectrum Disorder (ASD) ("Autism and de

Naily [24]

Answer:

$z=\frac{0.0156-0.0114}{\sqrt{0.01554(1-0.01554)(\frac{1}{32601}+\frac{1}{88})}}=0.318$

$p_v =P(Z>0.318)=0.375$

So the p value is a very high value and using the significance level provided $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the proportion of children diagnosed with Autism Spectrum Disorder (ASD) in arizona is not significantly higher than the national incident rate at 1% of significance.

Step-by-step explanation:

Data given and notation

$X_{1}=507$ represent the number of children diagnosed with Autism Spectrum Disorder (ASD) in Arizona

$n_{1}=32601$ sample elected from arizona

$\hat p_{1}=\frac{507}{32601} =0.0156$ represent the proportion of children diagnosed with Autism Spectrum Disorder (ASD) in arizona

$p_{2}=\frac{1}{88}= 0.0114$ represent the proportion of children diagnosed with Autism Spectrum Disorder (ASD) in the nation

z would represent the statistic (variable of interest)

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

Concepts and formulas to use

We need to conduct a hypothesis in order to check if that the incident of ASD is more in Arizona than nationally, the system of hypothesis are:

Null hypothesis: $p_{1} \leq p_{2}$

Alternative hypothesis: $p_{1} > p_{2}$

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 $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{507+1}{32601 +88}=0.01554$

Calculate the statistic

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

$z=\frac{0.0156-0.0114}{\sqrt{0.01554(1-0.01554)(\frac{1}{32601}+\frac{1}{88})}}=0.318$

Statistical decision

The significance level provided is $\alpha=0.01$ , and we can calculate the p value for this test.

Since is a one right sided test the p value would be:

$p_v =P(Z>0.318)=0.375$

So the p value is a very high value and using the significance level provided $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the proportion of children diagnosed with Autism Spectrum Disorder (ASD) in arizona is not significantly higher than the national incident rate at 1% of significance.

5 0

3 years ago

Solve the equation for y. Then find the value of y for each value of x. 3x-7y=13;x= -3, 0, 3

Sidana [21]

When x is -3

$3\left(-3\right)-7y=13\quad :\quad y=-\frac{22}{7}\quad \left(\mathrm{Decimal}:\quad y=-3.14285\dots \right)$