What is 2+2 in math and the answer is 4

A kite flying in the air has an 11 - ft line attached to it. Its line is pulled taut and casts an 8 - ft shadow. Find the height

Fofino [41]

The line, shadow and the height form a right angled triangle so we can apply the Pythagoras theorem here:-

11^2 = h^2 + 8^2 where h = height of the kite
h^2 = 11^2 - 8^2
h^2 = 57
h = 7.55 ft to the nearest foot Answer

5 0

3 years ago

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What is 0.25 in the equation p(x)=0.25x-50

stira [4]

0.25 represents the slope of the line. For every 1 unit it goes up, it goes 4 to the right.

8 0

3 years ago

The mean waiting time at a drive-through of a fast-food restaurant from the time the order is received is 84 seconds. A manager

olga nikolaevna [1]

Answer:

$t=\frac{81-84}{\frac{3.6}{\sqrt{100}}}=-8.33$

And the standard score for this case is $-8.33$

Step-by-step explanation:

Data given and notation

$\bar X=81$ represent the sample mean

$s=3.6$ represent the sample standard deviation

$n=100$ sample size

$\mu_o =84$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the ture mean is lower than 84, the system of hypothesis would be:

Null hypothesis: $\mu \geq 84$

Alternative hypothesis: $\mu < 84$

If we analyze the size for the sample is > 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{81-84}{\frac{3.6}{\sqrt{100}}}=-8.33$

And the standard score for this case is $-8.33$

5 0

3 years ago

Triangle PAT has been reflected over the x-axis. Which of the following best describes the relationship between the x-axis and t

fredd [130]

Answer:

B and B' are both 72 degrees, and sides BC and B'C' are both 5 units long.

Step-by-step explanation:

Parallelogram ABCD is reflected over the x-axis. What rule shows the input and output of the reflection, and what is the new coordinate of A'? Triangle ABC has been translated to create triangle A'B'C'. Angles C and C' are both 32 degrees, angles B and B' are both 72 degrees, and sides BC and B'C' are both 5 units long.

8 0

3 years ago

What is 13+6b=-5(7-6b)

gayaneshka [121]

13+6b=-5(7-6b) -- expand brackets
13+6b=-35+30b -- subtract 6b and add 35 to both sides
48=24b -- divide by 24
2=b

b=2

3 0

3 years ago