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gizmo_the_mogwai [7]
3 years ago
11

a tree casts a 26 ft shadow. a boy standing nearby casts a 10 foot shadow, forming similar triangles. his height is 4 ft. how ta

ll is the tree
Mathematics
1 answer:
andrezito [222]3 years ago
6 0

Answer:

he would be 22 ft smaller than the tree

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The larger of two consecutive odd integers is four less than three times the smallest integer. Find the two integers.
ElenaW [278]

Answer: -1 and 1

Step-by-step explanation:

Let the first integer be x and the second x +2 , clearly, the larger is x + 2.

From the statement given

x + 2 = 3x + 4

x - 3x = 4 - 2

-2x = 2

x = -1

The second integer is -1 + 2 = 1

4 0
3 years ago
A research group wants to know if the online platform to play Settlers of Catan is being accessed more after the stay at home or
Gre4nikov [31]

Answer:

a) The P-value is 0.

At a significance level of 0.05, there is enough evidence to support the claim that the online platform was accessed significantly more so than before the stay at home order.

b) Effect size d = 0.77

Medium.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the online platform was accessed significantly more so than before the stay at home order.

Then, the null and alternative hypothesis are:

H_0: \mu=1000\\\\H_a:\mu> 1000

The significance level is 0.05.

The sample has a size n=108000.

The sample mean is M=1378.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=489.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{489}{\sqrt{108000}}=1.488

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{1378-1000}{1.488}=\dfrac{378}{1.488}=254.036

The degrees of freedom for this sample size are:

df=n-1=108000-1=107999

This test is a right-tailed test, with 107999 degrees of freedom and t=254.036, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t>254.036)=0

As the P-value (0) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

At a significance level of 0.05, there is enough evidence to support the claim that the online platform was accessed significantly more so than before the stay at home order.

The effect size can be estimated with the Cohen's d.

This can be calculated as:

d=\dfrac{M-\mu}{\sigma}=\dfrac{1378-1000}{489}=\dfrac{378}{489}=0.77

The values of Cohen's d between 0.2 and 0.8 are considered "Medium", so in this case, the effect size d=0.77 is medium.

5 0
3 years ago
You are building a frame for a window. The window will be installed in the opening shown in the diagram. Determine whether the o
lubasha [3.4K]

Answer:

dfffffdf

Step-by-step explanation:

3 0
3 years ago
The intersection of roads M and N creates a 41.4 degree angle. What are the complimentary and supplementary angles of this inter
Keith_Richards [23]
Supplementary angles are two angles which sum up to 180 degrees while complementary angled are those the sum is 90 degrees. Therefore, the complementary of 41.4 is 90-41.4 = 48.6 and the supplement would be 180-41.4= 138.6.
3 0
3 years ago
Help 26-1x6 ASAP hurry
Ronch [10]

Answer: 20

Step-by-step explanation: Lets break down the problem;

You always use multiplication first when solving an expression.

26 - 1 x 6

1 x 6 = 6

26 - 6 = 20

7 0
3 years ago
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