1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kisachek [45]
2 years ago
14

On a map the distance between rip and Janeiro Brazil and San Jose Costa Rica is 4 inches.the scale on the map shows that 1 inch=

200 miles ,or if you write it as a ratio.. how would set up a proportion if you want to figure out how many miles it is form Rio de Janeiro to San jose.?
​
Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
4 0

Answer:

The way a proportion is set is as follows;

\dfrac{1 \ inch}{200 \ miles } = \dfrac{4 \ inches}{ Distance \ from \ Rio \ de \ Janeiro \ to \ San \ Jose}

The Distance from Rio de Janeiro and San Jose Costa Rica is then found as  800 miles

Step-by-step explanation:

The dimension of the distance between Rio de Janeiro and San Jose Costa Rica = 4 inches

The map scale = 1 inch to 200 miles

To figure out how many miles it is or the actual distance from Rio de Janeiro and San Jose Costa Rica, we have;

\dfrac{1 \ inch}{200 \ miles } = \dfrac{4 \ inches}{ Distance \ from \ Rio \ de \ Janeiro \ to \ San \ Jose}

Therefore, we have;

(4 inches × 200 miles)/(1 inche) = Distance from Rio de Janeiro and San Jose Costa Rica

Which gives;

Distance from Rio de Janeiro and San Jose Costa Rica = 800 miles.

You might be interested in
Write an equation that is perpendicular to y = 2x + 5 and passes through (3 , -2)
Maslowich
To find the perpendicular line, we need to find the negative inverse slope.

y = -1/2x - 2

This line also passes through the point since both have the y intercept / value of -2.

Hope this helps!
3 0
3 years ago
A dataset lists full IQ scores for a random sample of subjects with low lead levels in their blood (sample 1) and another random
Alenkasestr [34]

Answer:

a. Null hypothesis: \mu_1 \leq \mu_2

Alternative hypothesis: \mu_1 >\mu_2

b. t=\frac{(92.88 -86.90)-(0)}{\sqrt{\frac{15.34^2}{78}}+\frac{8.99^2}{21}}=2.282

c. p_v =P(t_{97}>2.287) =0.0122

So with the p value obtained and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the mean of the group 1 (Low Blood Lead level) is significantly higher than the mean for the group 2 (High Blood Lead level).  

Step-by-step explanation:

a. State and label the null and alternative hypotheses.

The system of hypothesis on this case are:

Null hypothesis: \mu_1 \leq \mu_2

Alternative hypothesis: \mu_1 >\mu_2

Or equivalently:

Null hypothesis: \mu_1 - \mu_2 \leq 0

Alternative hypothesis: \mu_1 -\mu_2>0

Our notation on this case :

n_1 =78 represent the sample size for group 1

n_2 =21 represent the sample size for group 2

\bar X_1 =92.88 represent the sample mean for the group 1

\bar X_2 =86.90 represent the sample mean for the group 2

s_1=15.34 represent the sample standard deviation for group 1

s_2=8.99 represent the sample standard deviation for group 2

b. State the value of the test statistic.

And the statistic is given by this formula:

t=\frac{(\bar X_1 -\bar X_2)-(\mu_{1}-\mu_2)}{\sqrt{\frac{s^2_1}{n_1}}+\frac{s^2_2}{n_2}}

Where t follows a t distribution with n_1+n_2 -2 degrees of freedom. If we replace the values given we have:

t=\frac{(92.88 -86.90)-(0)}{\sqrt{\frac{15.34^2}{78}}+\frac{8.99^2}{21}}=2.282

Now we can calculate the degrees of freedom given by:

df=78+21-2=97

c. Find either the critical value(s) and draw a picture of the critical region(s) or find the P-value for this test. Indicate which method you are using: ( CIRCLE ONE: Critical value / P-value )

Method used: P value

And now we can calculate the p value using the altenative hypothesis, since it's a right tail test the p value is given by:

p_v =P(t_{97}>2.287) =0.0122

So with the p value obtained and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the mean of the group 1 (Low Blood Lead level) is significantly higher than the mean for the group 2 (High Blood Lead level).  

6 0
3 years ago
The floor of a rectangular deck has an area of 600 sq. ft. The floor is 20 ft. wide. How long is the floor?
grin007 [14]
<span>The question is asking us to determine the length of the floor of a rectangular deck. The rectangular deck has an area of 600 squared feet. The floor is 20 feet wide ( W = 20 ft ). Formula for the area of the rectangle is: A = L x W. 600 = L X 20; L = 600 : 20; L = 30 ft. Answer: The floor is 30 ft long.</span>
3 0
2 years ago
What is an equation of the line in point slope form that passes through the given point and has the given slope?
NemiM [27]
It is the fourth option, y+8=3(x-8)
3 0
3 years ago
If theperimeter of the triangle ABC is 23, find the length of each side.
aalyn [17]
You can't.
There isn't enough evidence/proof to prove the length of each side.<span />
6 0
3 years ago
Other questions:
  • If the weight of a package is multiplied by 4/5 the result is 30 pounds. Find the weight of the package
    11·1 answer
  • What is the answer to 5 squared
    10·2 answers
  • PLEASEEE HELPPP If quadrilateral C'D'EF represents quadrilateral CDEF rotated 90° clockwise about the origin, the ordered pair o
    14·1 answer
  • Which of the following is the horizontal asymptote for the graph below?
    15·2 answers
  • Let ABC be an isosceles triangle with AB = AC and ∠BAC=30°. Side AB and the median AD contain points Q and P respectively (point
    7·1 answer
  • Peyton is taking a multįple choice test with a total of 20 points available. Each
    12·1 answer
  • If x = 7+3 root 5 by 7 - 3 root 5 , find the value of x^2 + 1 by x^2
    13·1 answer
  • I really need help with this question could I please get help?
    15·1 answer
  • How does the graph of f(x) = |x| compare with the graph of g(x) = 3|x| ?
    14·1 answer
  • Solve the radical equation.<br> √x − 1 + 5 = 9
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!