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4 years ago

A rectangle is formed by placing two identical squares side by side

Mathematics

1 answer:

julsineya [31]4 years ago

4 0

Answer:

200

Step-by-step explanation:

If there are 2 squares next to eachother with the same area, then their perimeter is 6*sidelength.

60 = 6*sidelength

10 = sidelength

Square the sidelength to find the area of the square. 10^2 = 100

Multiply that by 2 to find the area of the rectangle. 100*2 =

200

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REALLY NEED HELP WITH THIS!!!

koban [17]

Answer:

Step-by-step explanation:

Solve the equation

Area =1/2(heightxbase)

27=1/2(Xx6)

54=6x

9 =x

4 0

3 years ago

The students in Roberto's school are painting a mural that will be 15 feet by 8 feet. First they make a scale drawing of the mur

bixtya [17]

Answer:

Follows are the solution to this question:

Step-by-step explanation:

In point A:

The two-point C and y is given, where C is the scale drawing lengths and y is the actual mural lengths so, the formed equation is:

$\to \frac{c}{y}=\frac{2}{5}$

In point C :

Using the value of the scale:

let 1 feet: 20 feet

therefore the equation is:

$\to \frac{c}{y}=\frac{1}{20}$

The size of c will be the length of:

$\to c= \frac{y}{20}\\\\\to c= \frac{8}{20}\\\\\to c= 0.4\\$

The diagram c scale width will be:

$\to c= \frac{y}{20}\\\\\to c= \frac{15}{20}\\\\\to c= 0.75\\$

8 0

4 years ago

) How many degrees of freedom are available for hypothesis tests and confidence intervals for single regression coefficient

sladkih [1.3K]

Answer:

We use students' t distribution therefore degrees of freedom is v= n-2

Step-by-step explanation:

<u>Confidence Interval Estimate of Population Regression Co efficient β.</u>

To construct the confidence interval for β, the population regression co efficient , we use b, the sample estimate of β. The sampling distribution of b is normally distributed with mean β and a standard deviation σ.y.x / √(x-x`)². That is the variable z = b - β/σ.y.x / √(x-x`)² is a standard normal variable. But σ.y.x is not known so we use S.y.x and also student's t distribution rather than normal distribution.

t= b - β/S.y.x / √(x-x`)² = b - β/Sb [Sb = S.y.x / √(x-x`)²]

with v= n-2 degrees of freedom.

Consequently

P [ - t α/2< b - β/Sb < t α/2] = 1- α

P [ b- t α/2 Sb< β < b+ t α/2 Sb] = 1- α

Hence a 100( 1-α) percent confidence for β the population regression coefficient for a particular sample size n <30 is given by

b± t α/2 Sb

Using the same statistic a confidence interval for α can be constructed in the same way for β replacing a with b and Sa with Sb.

a± t α/2 Sa

Using the t statistic we may construct the confidence interval for U.y.x for the given value X0 in the same manner

Y~0 ± t α/2(n-2) SY~

Y~0= a+b X0

4 0

3 years ago

3. The Leakey Shipping Company uses small containers with a volume of 2.5 m3and large containers with a volume of 4 m3. A shipme

Serga [27]

Given:

• Volume of small containers = 2.5 m³

• Volume of large containers = 4 m³

• Number of containers in the shipment = 140

• Total volume = 440 m³

Let's find the number of the size of each container used.

Let s represent the number of small containers

Let L represent the number of large containers.

• Equation for number of containers:

s + L = 140

• Equation for total volume:

2.5s + 4L = 140

Hence, we have the set of equations:

s + L = 140...........................equation 1

2.5s + 4L = 440...................equation 2

Let's solve the set of equations simultaneously using substitution methos.

Rewrite equation 1 for L:

L = 140 - s...........................equation 3

Substitute (140 -s) for L in equation 2:

2.5s + 4(140 - s) = 440

Apply distributive property:

2.5s + 4(140) + 4(-s) = 440

2.5s + 560 - 4s = 440

Combine like terms:

2.5s - 4s + 560 = 440

-1.5s + 560 = 440

Subtract 560 from both sides:

-1.5s + 560 - 560 = 440 - 560

-1.5s = -120

Divide both sides by -1.5:

$\begin{gathered} \frac{-1.5s}{-1.5}=\frac{-120}{-1.5} \\ \\ s=80 \end{gathered}$

Substitute 80 for s in either of the equations.

Take equation 3.

L = 140 - s

L = 140 - 80

L = 60.

Therefore, we have the solutions:

s = 80 and L = 60

Therefore, the company used 80 small containers and 60 large containers

5 0

1 year ago

marie can make 1/8 quart of orange juice in 3/4 of a minute by squeezing oranges. At this rate, how much juice can she make in 1

scZoUnD [109]

we are given

Marie can make 1/8 quart of orange juice in 3/4 of a minute by squeezing oranges

it means

$\frac{3}{4} min=\frac{1}{8} juice$

Since, we have to find for 1 minute

so, to find 1 on left side , we will have to multiply both sides by 4/3

$\frac{4}{3}*\frac{3}{4} min=\frac{4}{3}*\frac{1}{8} juice$

$1 min=\frac{1}{6} juice$ ..............Answer

7 0

4 years ago

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