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trasher [3.6K]
2 years ago
11

Find the area of the following compound shape. Pleaseeee helppp. Its urgent!! ​

Mathematics
2 answers:
Maslowich2 years ago
8 0

Answer:

(bd×ac)÷2

108÷2

54cm^2

Step-by-step explanation:

hope u like the ans

TiliK225 [7]2 years ago
3 0

Answer:

54cm

Step-by-step explanation:

AC = 9cm

BD = 12 cm

Area of rhombus = 1/2 × AC × BD

= 1/2× 9×12

= 9× 6

= 54 cm

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Listed below are annual data for various years. The data are weights​ (metric tons) of imported lemons and car crash fatality ra
anyanavicka [17]

Answer:

Because the​ P-value is _(<u>0.02)  less </u> than the significance level 0.05​, there <u> is </u> sufficient evidence to support the claim that there is a linear correlation between lemon imports and crash fatality rates for a significance level of α=0.05.

C. The results suggest that imported lemons cause car fatalities.

Step-by-step explanation:

Hello!

The study variables are:

X₁: Weight of imported lemons.

X₂: Car crash fatality rate.

The objective is to test if the imported lemons affect the occurrence of car fatalities. To do so you are asked to use a linear correlation test.

I've made a Scatterplot with the given data, it is attached to the answer.

To be able to use the parametric linear correlation you can use the parametric test (Person) or the nonparametric test Spearman. For Person, you need your variables to have a bivariate normal distribution. Since one of the variables is a discrete variable (ratio of car crashes) and the sample is way too small to make an approximation to a normal distribution, the best test to use is Spearman's rank correlation.

This correlation coefficient (rs) takes values from -1 to 1

If rs = -1 this means that there is a negative correlation between the variables

If rs= 1 this means there is a positive correlation between the variables

If rs =0 then there is no correlation between the variables.

The hypothesis is:

H₀: There is no linear association between X₁ and X₂

H₁: There is a linear association between X₁ and X₂

α: 0.05

To calculate the Spearman's correlation coefficient you have to assign ranks to the observed values of each variable, from the smallest to the highest). Then you have to calculate the difference (d)between the ranks and the square of that difference (d²). (see attachment)

The formula for the correlation coefficient is:

rs= 1 - \frac{6* (sum of d^2)}{(n-1)n(n+1)}

rs= 1 - \frac{6* (40)}{4*5*6}

rs= -1

For this value of the correlation coefficient, the p-value is 0.02

Since the p-value (0.02) is less than the significance level (0.05) the decision is to reject the null hypothesis. In other words, there is a linear correlation between the imported lemons and the car crash fatality ration, this means that the modification in the lemon import will affect the car crash fatality ratio.

Note: the correlation coefficient is negative, so you could say that there is a correlation between the variables and this is negative (meaning that when the lemon import increases, the car crash fatality ratio decreases)

I hope it helps!

4 0
3 years ago
What is the smallest two-digit prime that is the sum of three (not necessarily distinct) positive perfect cubes?
love history [14]

Answer:

17

Step-by-step explanation:

1+8+8=17\\1^3+2^3+2^3=17

6 0
3 years ago
Read 2 more answers
Pls help me ............
Alex73 [517]

Answer:

7

Step-by-step explanation:

2v ÷ e + 3

we want to find the value of the expression when v = 10 and e = 5

to do so we substitute the values into the expression

2v ÷ e + 3

==> substitute 10 for v and 5 for e

2(10) ÷ 5 + 3

We now evaluate using bpemdas

==> multiply 2 and 10

20 ÷ 5 + 3

==> divide 20 by 5

4 + 3

==> add 4 and 3

= 7

6 0
1 year ago
Plz help me !!!!!!!!!!!
Artist 52 [7]

Split the second term in 3a^2 - 8a + 4 into two terms

3a^2 - 2a - 6a + 4 = 0

Factor out common terms in the first two terms, then in the last two terms.

a(3a - 2) -2(3a - 2) = 0

Factor out the common term 3a - 2

(3a - 2)(a - 2) = 0

Solve for a;

a = 2/3,2

<u>Answer : B. (2/3,2)</u>

6 0
2 years ago
On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a negative slope and has a formula o
suter [353]

Answer:

  B.  (3, –1)

Step-by-step explanation:

Reflection in the line y=-x is described by the transformation ...

  (x, y) ⇒ (-y, -x)

Then the point of interest becomes ...

  F(1, -3) ⇒ F'(3, -1) . . . . matches choice B

7 0
2 years ago
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