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1 year ago

There must be more than 4 campers in a group during free play and the difference between the number of boys, x, and the

Mathematics

2 answers:

Diano4ka-milaya [45]1 year ago

6 0

Answer:

The answer is B. Just took the test

Step-by-step explanation:

RSB [31]1 year ago

4 0

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x -----> the number of boys

y -----> the number of girls

$x-y \leq 5$

$y \geq x-5$ ----->inequality A

The solution of the inequality A is the shaded area above the solid line $y=x-5$

The slope of the solid line is positive

The y-intercept of the solid line is (0,-5)

The x-intercept of the solid line is (5,0)

$x+y >4$ -----> equation B

The solution of the inequality B is the shaded area above the dashed line $y=-x+4$

The slope of the dashed line is negative

The y-intercept of the solid line is (0,4)

The x-intercept of the solid line is (4,0)

using a graphing tool

the solution of the system of inequalities is the shaded area between the solid line and the dashed line

see the attached figure

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How does the area of triangle RST compare to the area of triangle LMN? The area of △RST is 2 square units less than the area of

sashaice [31]

Inscribe triangle RST in the square with dimensions 4×4, as shown in the figure.

from the area of this square, 4*4=16, we remove the triangles with dimensions
3×4, 2×1 and 2×4, whose side lengths are shown in the figure, and we are left with the area of triangle RST.

so $Area(RTS)=16- \frac{1}{2}*3*4- \frac{1}{2}*2*1- \frac{1}{2}*2*4=16-6-1-4=5$ units squared

similarly,

$Area(LMN)=4*3- \frac{1}{2}*1*4- \frac{1}{2}*2*2- \frac{1}{2}*2*3=12-2-2-3=5$ units squared

Thus, the areas are equal.

8 0

1 year ago

Read 2 more answers

Aldo invested in a savings bond for 6 years and was paid simple interest at an annual rate of 4% the total interest that he earn

bonufazy [111]

Answer:

$723.66

Step-by-step explanation:

$x(1 + 4 {)}^{6} = x + 192$

$\boxed{\green{x = 723.66}}$

8 0

1 year ago

A community center charges x dollars for a summer activity if individuals are signed up before the day of the activity. Individu

Art [367]

Answer:

The answer should be A, let me know if that's wrong.

Step-by-step explanation:

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1 year ago

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Researchers from Dartmouth Medical School conducted a study in 2003 to look at the connection between watching actors smoking in

docker41 [41]

Answer:

The 95% confidence interval for the proportion of adolescents who tried smoking for the first time because of exposure to smoking in the movies is (0.37, 0.40).

Step-by-step explanation:

A confidence interval is an interval estimate of the population parameter. The confidence interval has a certain probability of consisting the true value of the parameter.

The (1 - α) % confidence interval for the population proportion (p) is given by:

$CI=\hat p\pm z_{\alpha/2}\times \sqrt{\frac{\hat p(1-\hat p)}{n}}$

The information provided is:

$n = 6522\\\hat p=0.38\\z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table for the critical value.

Construct the 95% confidence interval for the proportion of adolescents who tried smoking for the first time because of exposure to smoking in the movies as follows:

$CI=\hat p\pm z_{\alpha/2}\times \sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.38\pm 1.96\times \sqrt{\frac{0.38(1-0.38)}{6522}}\\=0.38\pm 0.0118\\=(0.3682, 0.3918)\\\approx (0.37, 0.40)$

Thus, the 95% confidence interval for the proportion of adolescents who tried smoking for the first time because of exposure to smoking in the movies is (0.37, 0.40).

8 0

1 year ago

The height of seaweed of all plants in a body of water are normally distributed with a mean of 10 cm and a standard deviation of

Degger [83]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is:

X: height of seaweed.

X~N(μ;σ²)

μ= 10 cm

σ= 2 cm

You have to find the value of the variable X that separates the bottom 0.30 of the distribution from the top 0.70

P(X≤x)= 0.30

P(X≥x)= 0.70

Using the standard normal distribution you have to find the value of Z that separates the bottom 0.30 from the top 0.70 and then using the formula Z= (X-μ)/σ translate the Z value to the corresponding X value.

P(Z≤z)= 0.30

In the body of the table look for the probability of 0.30 and reach the margins to form the Z value. The mean of the distribution is "0" so below 50% of the distribution you'll find negative values.

z= -0.52

Now you have to clear the value of X:

Z= (X-μ)/σ

Z*σ= X-μ

X= (Z*σ)+μ

X= (-0.52*2)+10= 8.96

The value of seaweed height that divides the bottom 30% from the top 70% is 8.96 cm

I hope this helps!

7 0

2 years ago