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3 years ago

What is a=1/2bh so what will h be

1 answer:

6 0

From information given I can only tell you that
a=1/2bh
multiply both sides of = by 2 and you'll cancel the 1/2 out on the right side making
2a=bh
then divide both sides by b, canceling out the b on the right side giving you
2a/b=h
so h=2a/b

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Which value of x would make this equation true? 4x-10=18

garik1379 [7]

1) move the 10 over to the other side which would give you 28.
2) divide by 4 to get x by itself.

ANSWER: 7

4 0

3 years ago

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You have 6 people working to set up for tonight's banquet, and each person can set up 13 tables per hour. You need to have 500 t

svlad2 [7]

6*13=78

they can set up 78 tables an hour

500/78=6.41025641026

rounded=6.4103

they would take 6-7 hours to set up 500 tables

they should start set up at 11:00 a.m

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3 years ago

1. log 100<br> Evaluate without using a calculator

andreev551 [17]

Answer:

Step-by-step explanation:

log 100

Rewriting 100 as 10 ^2

log 10^2

We know that log a^b = b log a

2 log 10

log 10 = 1 since log 10 (10) =1

2 (1) =2

5 0

3 years ago

An automobile dealer wants to see if there is a relationship between monthly sales and the interest rate. A random sample of 4 m

SVETLANKA909090 [29]

Answer:

a) $y=-6.254 x +75.064$

b) r =-0.932

The % of variation is given by the determination coefficient given by $r^2$ and on this case $-0.932^2 =0.8687$ , so then the % of variation explained by the linear model is 86.87%.

Step-by-step explanation:

Assuming the following dataset:

Monthly Sales (Y) Interest Rate (X)

22 9.2

20 7.6

10 10.4

45 5.3

Part a

And we want a linear model on this way y=mx+b, where m represent the slope and b the intercept. In order to find the slope we have this formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=278.65-\frac{32.5^2}{4}=14.5875$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=696.9-\frac{32.5*97}{4}=-91.225$

And the slope would be:

$m=\frac{-91.225}{14.5875}=-6.254$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{32.5}{4}=8.125$

$\bar y= \frac{\sum y_i}{n}=\frac{97}{4}=24.25$

And we can find the intercept using this:

$b=\bar y -m \bar x=24.25-(-6.254*8.125)=75.064$

So the line would be given by:

$y=-6.254 x +75.064$

Part b

For this case we need to calculate the correlation coefficient given by:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

$r=\frac{4(696.9)-(32.5)(97)}{\sqrt{[4(278.65) -(32.5)^2][4(3009) -(97)^2]}}=-0.937$

So then the correlation coefficient would be r =-0.932

The % of variation is given by the determination coefficient given by $r^2$ and on this case $-0.932^2 =0.8687$ , so then the % of variation explained by the linear model is 86.87%.

6 0

4 years ago

Please answer the question (8TH GRADE?!)<br> if you can.. dont give me wrong answer

Free_Kalibri [48]

Answer:

Step-by-step explanation:

Since the figure is rotated and translated its shape/size doesn't change. If you correspond each of the sides to the other figure then PQ and ZW are the same.

7 0

3 years ago

Read 2 more answers