An 18 foot tall pole casts a shadow that is 28.8 feet long. At the same time a woman casts a shadow that is 8.8 feet long how ta
ll is the woman
1 answer:
Answer:
5.5 ft tall
Step-by-step explanation:
The shadows cast by the pole and by the woman form <em>similar triangles</em>.
In similar triangles, corresponding sides are in the same proportion.
Thus,
18/28.8 = x/8.8
Multiply each side of the equation by 8.8
x = 8.8 × 18/28.8 = 5.5 ft
The woman is 5.5 ft tall.
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Answer:
The p-value of the test is of 0.0536 > 0.02, which means that there is not sufficient evidence at the 0.02 level to support the executive's claim.
Step-by-step explanation:
A publisher reports that 75% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage.
At the null hypothesis, we test if the proportion is of 75%, that is:
At the alternate hypothesis, we test if the proportion is different of 75%, that is:
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
75% is tested at the null hypothesis:
This means that
A random sample of 280 found that 70% of the readers owned a particular make of car.
This means that
Value of the test statistic:
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion differing from 0.75 by at least |0.7 - 0.75| = 0.05, which is P(|z| > 1.93), which is 2 multiplied by the p-value of z = -1.93.
Looking at the z-table, z = -1.93 has a p-value of 0.0268.
2*0.0268 = 0.0536.
The p-value of the test is of 0.0536 > 0.02, which means that there is not sufficient evidence at the 0.02 level to support the executive's claim.
Answer:
Step-by-step explanation:
Let's find the answer.
Because we have 3 equations and 3 variables (x1, x2, x3) a 3x3 matrix (A) can be constructed by using their respectively coefficients.
Equations:
Eq. 1 : x1 + 2x2 + 5x3 = 5
Eq. 2 : x1 + x2 + x3 = 6
E1. 3 : 4x1 + 6x2 + 5x3 = 7
Coefficients for x1 ; x2 ; x3
From eq. 1 : 1 ; 2 ; 5
From eq. 2 : 1 ; 1 ; 1
From eq. 3 : 4 ; 6 ; 5
So matrix A is:
And the vector of vriables (X) is:
Now we can find the resulting vector (B) using the 'resulting values' from each equation:
In conclusion, AX=B is:
Answer:
So, the number of ways in which the dress can be chosen
= 3 × 2 × 2
= 12.
And the combinations are
(Green shirt, black pant, checkered shoes),
(Green shirt, black pant, red shoes),
(Green shirt, blue pant, checkered shoes),
(Green shirt, blue pant, red shoes),
(Red shirt, black pant, checkered shoes),
(Red shirt, black pant, red shoes),
(Red shirt, blue pant, checkered shoes),
(Red shirt, blue pant, red shoes),
(Yellow shirt, black pant, checkered shoes),
(Yellow shirt, black pant, red shoes),
(Yellow shirt, blue pant, checkered shoes),
(Yellow shirt, blue pant, red shoes).
The tree diagram is below.
Step-by-step explanation:
Answer:
$30
Step-by-step explanation:
-One week has 7 days, so the total number of eggs laid by both chickens:
-One doze is equivalent to 12 items. There's only one full dozen unit in 21 pieces.
Hence, she makes $30 in week one.