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Sholpan [36]
3 years ago
11

How do you do this?

Mathematics
1 answer:
ELEN [110]3 years ago
8 0
Use the Pythagorean Theorem: a² + b² = c².

a and b are the legs of the right triangle, and c is the hypotenuse.

2) 5² + b² = 6²
    25 + b² = 36
    b² = 11
    b = 3.3 cm

3) 7² + b² = 8²
    49 + b² = 64
    b² = 15
    b = 3.9 cm

4) a² + 5² = 13²
     a² + 25 = 169
     a² = 144
     a = 12 cm
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6. A psychology professor of a large class became curious as to whether the students who turned in tests first scored differentl
grigory [225]

Answer: Z is less than Zc ∴ 1.342 < 1.96

Therefore, Null hypothesis is not Rejected.

There is no sufficient evidence to claim that students turning in their test first score is significantly different from the mean.

Step-by-step explanation:

Given that;

U = 75

X = 78

standard deviation α = 10

sample size n = 20

population is normally distributed

PROBLEM is to test

H₀ : U = 75

H₁ : U ≠ 75

TEST STATISTIC

since we know the standard deviation

Z =  (X - U) / ( α /√n)

Z = ( 78 - 75 ) / ( 10 / √20)

Z = 1.3416 ≈ 1.342

Now suppose we need to test at ∝ = 0.05 level of significance,

Then Rejection region for the two tailed test is Zc = 1.96

∴ Reject H₀ if Z > Zc

and we know that Z is less than Zc ∴ 1.342 < 1.96

Therefore, Null hypothesis is not Rejected.

There is no sufficient evidence to claim that students turning in their test first score is significantly different from the mean.

6 0
3 years ago
A car travels 360 miles on 18 gallons of gas. Write the unit rate
bixtya [17]
The unit rate is 20 i think
4 0
3 years ago
Read 2 more answers
Factor the expression below.
rjkz [21]

Answer:

A.

(x - 3)(x - 3)

Step-by-step explanation:

x^2 – 6x + 9

What 2 numbers multiply to 9 and add to -6

-3*-3 =9

-3+-3 = -6

(x-3) (x-3)

7 0
3 years ago
Five times a number is greater thn 25
Kobotan [32]

5 x 6 is greater than 25.


( Hope this helps!! ) <3


5 0
3 years ago
Read 2 more answers
QUESTION IS DOW BELOW 5 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP
____ [38]

The central angle in the circle is ∠DAC,major arc is BED, minor arc is ADC and BC=(5π*BD)/18.

Given that BD is diameter of the circle and angle BAC is 100°.

We are required to find the central angle, major arc, minor arc, m BEC, BC.

Angle is basically finding out the intensity of inclination of something on the surface.

In the circle central angles are many like BAC and CAD. We can write CAD as DAC also.

Major arc of a circle is that arc whose length is larger than all other arcs in the circle.

In our circle the major arc is arc BED.

Minor arc of a circle is that arc whose length is smaller.

In our circle the minor arc is arc ADC.

We know that arc's length is 2πr(Θ/360)

In this way BC=2π*(BD/2)*100/360

=(5π*BD)/18

We cannot find angle BEC.

Hence the central angle in the circle is ∠DAC,major arc is BED, minor arc is ADC and BC=(5π*BA)/18.

Learn more about angles at brainly.com/question/25716982

#SPJ1

5 0
2 years ago
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