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4 years ago

The distance train a travels is represented d=90t

Mathematics

1 answer:

USPshnik [31]4 years ago

8 0

Please answer this What term is used to refer to the merging of government services with information technology?

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Two angles of a quadrilateral measure 107° and 115°. The other two angles are in a ratio of 5:18. What are the measures of those

puteri [66]

Answer:

Interior angle of quadrilateral is 360

Sum of the two known angles 222

The sum of the other two is 360-222=138

Ratio 5:18

A=5/23*138=30

B=18/23*138=108

Step-by-step explanation:

7 0

3 years ago

the two triangles below are similar use what you know about similar triangles to find the missing side. show your work

lara31 [8.8K]

If both triangles are similar the ratio of sides will be same

$\\ \sf\longmapsto \frac{x}{24} = \frac{6}{12} \\ \\ \sf\longmapsto 12x = 6 \times 24 \\ \\ \sf\longmapsto 12x = 144 \\ \\ \sf\longmapsto x = \frac{144}{12} \\ \\ \sf\longmapsto x = 12$

7 0

3 years ago

Which of the following equations are equivalent to -2m - 5m - 8 = 3 + (-7) + m?

grandymaker [24]

-2m - 5m = -7m
-7m - 8 = 3 -7 + m
3 - 7 = -4
-7m - 8 = m - 4
-7m - 8 + 8 = m - 4 + 8
-7m = m + 4
-7m - m = m + 4 - m
-8m = 4
-8m/-8 = 4/ -8
FINAL = m= -1/2 = -0.5

4 0

4 years ago

Taking a test i don’t know anything about please help

PilotLPTM [1.2K]

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 4:

The line of regression is $\hat y = a+bx$ where:

$a=\overline y-b \overline x$

$b=\frac{r*s_y}{s_x}$

We are given that $\overline y=75$ , $s_y=8$ , $\overline x=280$ , $s_x=30$ , and $r=0.60$ , therefore our slope, $b$ , is:

$b=\frac{r*s_y}{s_x}$

$b=\frac{(0.60)(8)}{30}$

$b=0.16$

Therefore, the slope of the regression line is 0.16, which can be used along with the values of $\overline y$ and $\overline x$ to find the constant $a$ :

$a=\overline y-b \overline x$

$a=75-(0.16)(280)$

$a=30.2$

This means our final regression line is $\hat y = 30.2 + 0.16x$

Problem 5:

The slope, $b=0.16$ , means that for every 1 point earned for a student's pre-exam total, their final exam score will increase by 0.16 points for each point they earned on the pre-exam.

Problem 6:

The y-intercept (or constant), $a=30.2$ , means that if a student's pre-exam total were 0, then they would expect to get a 30.2 on the final exam.

Problem 7:

$R^{2}=(0.60)^{2}=0.36=36\%$

Problem 8:

The fraction of variability (aka. coefficient of determination), $R^2$ , means that a certain proportion (or percentage) of the variance in the response variable can be explained by the explanatory variable. In context, this means that 36% of the variance in final exam scores can be explained by the pre-exam scores.

6 0

3 years ago

What is the prime factorization for 180

omeli [17]

Answer:

2*2*3*3*5

Step-by-step explanation:

Factor 180 into prime numbers that multiply together to give 180

180 = 20 *9

= 4*5 * 3*3

= 2*2* 5 * 3*3

Now rewrite them from smallest to largest

2*2*3*3*5

6 0

4 years ago