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3 years ago

What is cos 45º?...........

Mathematics

1 answer:

Alenkinab [10]3 years ago

5 0

Answer:

$\frac{1}{\sqrt{2} }$

Step-by-step explanation:

Cosine (cos) is adjacent by hypotenuse. $\frac{adjacent}{hypotenuse}$

In any of the 45° angles, 1 is adjacent and √2 is the hypotenuse.

So arrange them to get $\frac{1}{\sqrt{2} }$

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Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 139 to 192 cm and

Bumek [7]

Answer:

The weight of an adult male who is 158 cm tall is 59.32 kg.

Step-by-step explanation:

The regression equation representing the relationship between height and weight of a person is:

$\hat y=-105+1.04 x$

Here,

y = weight of a person (in kg)

x = height of a person (in cm)

The information provided is:

$\bar x=167.77\ \text{cm}\\\bar y=81.54\ \text{cm}\\r(X, Y)=0.201\\p-value=0.045$

The significance level of the test is, α = 0.01.

The hypothesis to test the significance of the correlation between height and weight is:

H₀: There is no relationship between the height and weight, i.e. ρ = 0.

Hₐ: There is a relationship between the height and weight, i.e. ρ ≠ 0.

Decision rule:

If the p-value of the test is less than the significance level, then the null hypothesis will be rejected and vice-versa.

According to information provided:

p-value = 0.045 > 0.01

The null hypothesis will not be rejected at 1% level of significance.

Thus, concluding that there is no relationship between the height and weight.

Compute the weight of an adult male with height, x = 158 cm as follows:

$\hat y=-105+1.04 x$

$=-105+(1.04\times 158)\\=-105+164.32\\=59.32$

Thus, the weight of an adult male who is 158 cm tall is 59.32 kg.

6 0

3 years ago

You solve a brain teaser 0.75 of the time. describe the likeihood

d1i1m1o1n [39]

.75 is the same as 75 %, therefore the likelihood of you solving the brain teaser is 75% of the time. Hope that helped.

3 0

3 years ago

Passes through (-4, -3), slope = -2.

Lemur [1.5K]

9514 1404 393

Answer:

y +3 = -2(x +4)

Step-by-step explanation:

The point-slope form of the equation for a line is ...

y -k = m(x -h) . . . . line with slope m through point (h, k)

For your given point and slope, this is ...

y -(-3) = -2(x -(-4))

y +3 = -2(x +4)

5 0

3 years ago

2 number cubes are rolled what is the probability the first lands on 6 and the second lands on an odd number

zimovet [89]

answer

1- 1 / 6

2- 1 / 2

8 0

3 years ago

Factor x^2+ llxy + 30y^2

KonstantinChe [14]

Answer:

(x + 5y) ( x + 6y)

Step-by-step explanation:

x²+ 11xy + 30y² = (x + 5y) ( x + 6y)

6 0

3 years ago

Read 2 more answers