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Elena L [17]
3 years ago
11

The fourth and fifth grade students at Franklin Elementary are going on a field trip to the zoo. There are 22 fourth graders and

38 fifth graders on each bus headed to the zoo. There are 6 buses in all. This equation can be used to find the total number of students on the field trip.
x = (22 + 38)6

Using this equation, how many Franklin Elementary students were on the trip?
A) 330
B) 360
C) 630
D) 660
Mathematics
1 answer:
elena-s [515]3 years ago
7 0

Answer:

360

Step-by-step explanation:

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Explain when each method(graphing, substitution,linear combinations) is a good method to find a solution to a system of equation
PSYCHO15rus [73]
Graphing is a good method when you have small integers or fractions as your slope.
Substitution is a good method when you have two equations, and when one of the coefficient of the variables is one.
Linear combinations is a good method when you have the same coefficient for the same variable in 2 different equations.
6 0
2 years ago
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In the equation m-1 1/3=4
romanna [79]

m = 5 \frac{1}{3}

note that 1 \frac{1}{3} = \frac{4}{3}

isolate m by adding \frac{4}{3} to both sides

m = 4 + \frac{4}{3} = \frac{16}{3} = 5 \frac{1}{3}


3 0
3 years ago
The scientist performs additional analyses and observes that the number of major earthquakes does appear to be decreasing but wo
kifflom [539]

Answer:

Step-by-step explanation:

Hello!

A regression model was determined in order to predict the number of earthquakes above magnitude 7.0 regarding the year.

^Y= 164.67 - 0.07Xi

Y: earthquake above magnitude 7.0

X: year

The researcher wants to test the claim that the regression is statistically significant, i.e. if the year is a good predictor of the number of earthquakes with magnitude above 7.0 If he is correct, you'd expect the slope to be different from zero: β ≠ 0, if the claim is not correct, then the slope will be equal to zero: β = 0

The hypotheses are:

H₀: β = 0

H₁: β ≠ 0

α: 0.05

The statistic for this test is a student's t: t= \frac{b - \beta }{Sb} ~~t_{n-2}

The calculated value is in the regression output t_{H_0}= -3.82

This test is two-tailed, meaning that the rejection region is divided in two and you'll reject the null hypothesis to small values of t or to high values of t, the p-value for this test will also be divided in two.

The p-value is the probability of obtaining a value as extreme as the one calculated under the null hypothesis:

p-value: P(t_{n-2}\leq -3.82) + P(t_{n-2}\geq  3.82)

As you can see to calculate it you need the information of the sample size to determine the degrees of freedom of the distribution.

If you want to use the rejection region approach, the sample size is also needed to determine the critical values.

But since this test is two tailed at α: 0.05 and there was a confidence interval with confidence level 0.95 (which is complementary to the level of significance) you can use it to decide whether to reject the null hypothesis.

Using the CI, the decision rule is as follows:

If the CI includes the "zero", do not reject the null hypothesis.

If the CI doesn't include the "zero", reject the null hypothesis.

The calculated interval for the slope is: [-0.11; -0.04]

As you can see, both limits of the interval are negative and do not include the zero, so the decision is to reject the null hypothesis.

At a 5% significance level, you can conclude that the relationship between the year and the number of earthquakes above magnitude 7.0 is statistically significant.

I hope this helps!

(full output in attachment)

5 0
3 years ago
A ship is anchored off a long straight shoreline that runs north and south. From two observation points 16 miles apart on shore,
ELEN [110]
D - the shortest distance from the ship to the shore.
d / ( 17 - x ) = tan 32° = 0.62487
d / x = tan 53° = 1.32704
d = 0.62487 ( 17 - x )
d = 1.32704 x
0.62487 ( 17 - x ) = 1.32704 x
10.62279 - 0.62487 x = 1.32704 x
x = 10.62279 : 1.95191
x = 5.44226 miles
d = 5.44226 · 1.32704
Answer:
d = 7.222  miles
6 0
3 years ago
Pls help me ASAP i need help
raketka [301]

Answer:

934 or 935

Step-by-step explanation:

8 0
2 years ago
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