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nasty-shy [4]
3 years ago
15

Nicholas has 8 pieces of rope that are 4 yards each. He uses 4 pieces that are each 4 feet long.

Mathematics
1 answer:
Komok [63]3 years ago
4 0
What's the question nbnnbbb
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An article reports the following data on yield (y), mean temperature over the period between date of coming into hops and date o
skelet666 [1.2K]

Answer:

x1=c(16.7,17.4,18.4,16.8,18.9,17.1,17.3,18.2,21.3,21.2,20.7,18.5)

x2=c(30,42,47,47,43,41,48,44,43,50,56,60)

y=c(210,110,103,103,91,76,73,70,68,53,45,31)

mod=lm(y~x1+x2)

summary(mod)

R output: Call:

lm(formula = y ~ x1 + x2)

Residuals:  

   Min      1Q Median      3Q     Max

-41.730 -12.174   0.791 12.374 40.093

Coefficients:

        Estimate Std. Error t value Pr(>|t|)    

(Intercept) 415.113     82.517   5.031 0.000709 ***  

x1            -6.593      4.859 -1.357 0.207913    

x2            -4.504      1.071 -4.204 0.002292 **  

---  

Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1  

Residual standard error: 24.45 on 9 degrees of freedom  

Multiple R-squared: 0.768,     Adjusted R-squared: 0.7164  

F-statistic: 14.9 on 2 and 9 DF, p-value: 0.001395

a).  y=415.113 +(-6.593)x1 +(-4.504)x2

b). s=24.45

c).  y =415.113 +(-6.593)*21.3 +(-4.504)*43 =81.0101

residual =68-81.0101 = -13.0101

d). F=14.9

P=0.0014

There is convincing evidence at least one of the explanatory variables is significant predictor of the response.

e).  newdata=data.frame(x1=21.3, x2=43)

# confidence interval

predict(mod, newdata, interval="confidence")

#prediction interval

predict(mod, newdata, interval="predict")

confidence interval

> predict(mod, newdata, interval="confidence",level=.95)

      fit      lwr      upr

1 81.03364 43.52379 118.5435

95% CI = (43.52, 118.54)

f).  #prediction interval

> predict(mod, newdata, interval="predict",level=.95)

      fit      lwr      upr

1 81.03364 14.19586 147.8714

95% PI=(14.20, 147.87)

g).  No, there is not evidence this factor is significant. It should be dropped from the model.

4 0
2 years ago
Using a straightedge draw a random triangle now carefully cut it out next amputate the angles by snipping through adjacents side
Nezavi [6.7K]
This is usually used as a proof that triangles have 180°.  Look at the attached figures.  If you cut off angle A, angle B and angle C and rotate them so that their vertices touch, you form a half-circle out of them (or a straight line).  We know that half a circle is 1/2 of 360° or 180; therefore all 3 angles in a triangle must add up to 180°.

4 0
3 years ago
______ is a common clue of law enforcement that a driver impaired
Vikentia [17]

Answer:

Step-by-step explanation:    Weaving is a common clue to law enforcement that a driver is impaired

4 0
3 years ago
Read 2 more answers
Sec (a) + tan (a) = sec (a) – tan (a)
Mariulka [41]

Answer:

a = π n for n element Z

Step-by-step explanation:

Solve for a:

sec(a) + tan(a) = sec(a) - tan(a)

Subtract sec(a) - tan(a) from both sides:

2 tan(a) = 0

Divide both sides by 2:

tan(a) = 0

Take the inverse tangent of both sides:

Answer:  a = π n for n element Z

7 0
3 years ago
A school buys games for 6 classrooms. It buys 3 board games, 4 puzzles, and 1 video for each classroom. How many games dose the
AlexFokin [52]

Answer:

42

Step-by-step explanation:

4+3=7

7x6 = 42

7 0
2 years ago
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