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Pavel [41]
3 years ago
15

Identify the factors in the expression 6 (×+5)

Mathematics
1 answer:
Setler [38]3 years ago
5 0
The factors are 6 and x + 5
You might be interested in
Find the area of the figure
Eduardwww [97]

Answer:

132cm²

Step-by-step explanation:

You can find the area of the entire shape by calculating the area of seperate smaller shapes.

You can split them up into 2 rectangles, one with a base of 7cm and height of 4cm, and another one with a base of 7cm and height of 8cm. You also have 2 triangles, with a base of 19cm - 7cm / 2 = 6cm since it is the entire bottom line subtracted by the top; they will have a height of 8cm each.

To calculate the rectangles areas, simply do length x width, which are:

4cm x 7cm = 28cm²

8cm x 7cm = 56cm²

Next, since the triangles are similar in measurements, instead of doing the normal calculation to find the area of a triangle, you can do base times height again, which is:

6cm x 8cm = 48cm²

Add all the answers together to get the final area, which is 132cm².

8 0
2 years ago
According to Maryland Motor Vehicle Administration [MVA] data, Gary Turgeon, a clerk at the Beltsville, Maryland, MVA location,
atroni [7]

Step-by-step explanation:

6 customers per hour =1[tex] customer per 10 minutes
[tex]X \sim \operatorname{Exp}(\beta=10) \quad (given mean)

Pdf is given by: f(x)=\frac{1}{\beta} e^{-x / \beta}, 0

Pdf: f(x)=\frac{1}{10} e^{-x / 10}, \quad 0

P(X \leq x)=1-e^{(-x / 10)} \quad for x>0 \Longrightarrow P(X>x)=e^{-x / 10}

a)
\begin{array}{c}
P(X

\begin{aligned}
&\begin{array}{c}
P(X>20)=\exp (-20 / \beta)=e^{-2} \approx 0.135335 \approx 0.1353 \\
P(X>20)=0.1353
\end{array}\\

&\text { c) }\\

&P(8<X<15)\\

&\begin{array}{l}

=P(X<15)-P(X<8) \\

=(1-\exp (-15 / \beta))-(1-\exp (-8 / \beta)) \\

=\exp (-8 / \beta)-\exp (-15 / \beta) \\

=e^{-0.8}-e^{-1.5} \\

=0.449329-0.22313 \approx 0.226199 \approx 0.2262 \\

\quad P(8<X<15)=0.2262

\end{array}

\end{aligned}

\begin{aligned}

&\text { d) }\\

&\begin{array}{l}

P(14<X<22) \\

=P(X<22)-P(X<14) \\

=(1-\exp (-22 / \beta))-(1-\exp (-14 / \beta)) \\

=\exp (-14 / \beta)-\exp (-22 / \beta) \\

=e^{-1.4}-e^{-2.2} \\

=0.246597-0.110803 \approx 0.135794 \approx 0.1358 \\

P(X<14 \cup X>22)=1-P(14<X<22)=1-0.1358=0.8642 \\

P(X<14 \cup X>22)=0.8642

\end{array}

\end{aligned}

6 0
3 years ago
7th grade math help me pleaseee
vitfil [10]

Answer:

Yes she is correct.

Step-by-step explanation:

I think she is correct.

6 0
2 years ago
Read 2 more answers
3 kg of beef costs £51<br> Max buys 2 kg of beef.<br> Work out how much Max pays
balandron [24]

Find the rate:

51 ÷ 3 = £17

1 kg of beef = £17

2 kg of beef = £17 × 2 = £34

2 kg beef = £34

3 0
2 years ago
A research center is interested in investigating the height and age of children who are between 5 to 9 years old. In order to do
ehidna [41]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Age(x)

7

8

5

8

8

7

7

7

9

8

5

8

6

5

8

Height (Y)

47.3

48.8

41.3

50.4

51

47.1

46.9

48

51.2

51.2

40.3

48.9

45.2

41.9

49.6

The estimated regression equation:

ŷ = 2.73953X + 27.91395

Where ;

X = independent variable

ŷ = predicted or dependent variable

27.91395 = intercept

C.) To obtain the variation in sample values of height estimated by the model, we obtain the Coefficient of correlation:

Using the online pearson correlation Coefficient calculator :

The correlation Coefficient is 0.9696.

which means that the regression model estimated in part (b) explains approximately (0.9696 * 100) = 96.96% = 97% of the variation in the height in the sample.

3 0
3 years ago
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