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astraxan [27]
3 years ago
15

Find the angle θ between ???? and ???? if ????⋅????=12‖????‖⋅‖????‖. (Use symbolic notation and fractions where needed. Give you

r answer in terms of π. )
Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
4 0

Answer: hello your question is poorly written below is the complete question

Find the angle between and if ⋅=3√2‖‖⋅‖‖.

(Use symbolic notation and fractions where needed. Give your answer in terms of . )

answer :

∅ = π / 6

Step-by-step explanation:

V .W = \frac{\sqrt{3} }{2}  || V ||. ||W||

Hence

∅ = cos^-1 ( \frac{\frac{\sqrt{3} }{2}  || V ||. ||W||}{||V||.||W||}

∅ = cos^-1 ( \frac{\sqrt{3} }{2} )

∴ ∅ = π / 6

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The tree in your friend's yard casts a shadow that is 27 feet long. Your friend is 5 feet tall and casts a shadow that is 4.5 fe
GarryVolchara [31]

Answer:

The height of the tree is 30 feet

Step-by-step explanation:

Let

h ----> the height of the tree

we know that

The tree casts a shadow that is 27 feet long

Your friend is 5 feet tall and casts a shadow that is 4.5 feet long

so

using proportion

Find out the height of the tree

\frac{h}{27}=\frac{5}{4.5}\\\\h=27(5)/4.5\\\\h=30\ ft

6 0
3 years ago
A random sample of 180 microbiology students were asked how many science classes he or she was enrolled in August 1990. The resu
frutty [35]

Answer:

z=\frac{1.83-1.94}{\sqrt{\frac{1.48^2}{180}+\frac{1.62^2}{180}}}}=-0.673  

p_v =2*P(z

Comparing the p value with the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we FAIL to reject the null hypothesis, and a would NOT be a significant difference in the two means

Step-by-step explanation:

Data given and notation

\bar X_{1}=1.83 represent the mean in 1990

\bar X_{2}=1.94 represent the mean for 2005

s_{1}=1.48 represent the sample deviation for 1990

s_{2}=1.62 represent the sample standard deviation for 2005

n_{1}=180 sample size for 1990

n_{2}=180 sample size for 2005

t would represent the statistic (variable of interest)

\alpha=0.05 significance level provided

Develop the null and alternative hypotheses for this study?

We need to conduct a hypothesis in order to check if the means for the two groups are different, the system of hypothesis would be:

Null hypothesis:\mu_{1}=\mu_{2}

Alternative hypothesis:\mu_{1} \neq \mu_{2}

Since we don't know the population deviations for each group, for this case is better apply a t test to compare means, and the statistic is given by:

z=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}} (1)

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the value of the test statistic for this hypothesis testing.

Since we have all the values we can replace in formula (1) like this:

z=\frac{1.83-1.94}{\sqrt{\frac{1.48^2}{180}+\frac{1.62^2}{180}}}}=-0.673  

What is the p-value for this hypothesis test?

Since is a bilateral test the p value would be:

p_v =2*P(z

Based on the p-value, what is your conclusion?

Comparing the p value with the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we FAIL to reject the null hypothesis, and a would NOT be a significant difference in the two means

8 0
4 years ago
Plzzzzzz heeelllpp. 20 pointsss
posledela

Answer:

Hello.

The answer to this question is  

− √ 2 − √ 3 /2

And in Decimal Form: − 0.25881904

Step-by-step explanation:

Give brainliest :)

7 0
3 years ago
Read 2 more answers
A picture is 10 inches by 14inches. The frame measures 2 inches longer and wider than the painting. What is the area of the fram
kow [346]

Answer:

52

Step-by-step explanation:

so first you do 10x14=140

next you have to do 12x16=192

then u have to do 192-140=52in squared

4 0
2 years ago
I need help with this question, please respond with an answer ASAP. Please provide reasoning for your answer.
yulyashka [42]

Answer:

total balloons = 120r+72y

Step-by-step explanation:

If there are 120 cases of red balloons and r red balloons in each cases

Number of red balloons = 120*r

If there are 72 cases of yellow balloons and y  yellow balloons in each cases

Number of yellow balloons = 72y


The total number of balloons is red balloons plus yellow balloons

total balloons = 120r+72y

4 0
4 years ago
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