2 points

In a two-digit number, the units digit is 5 more that the tenth digit. The number itself is three times the sum of its digits. W

postnew [5]

Answer:

15

Step-by-step explanation:

1+5=6

6*3=15

7 0

3 years ago

Read 2 more answers

a tire on a car rotates at 500rpm when the car is traveling at 50 km/h what is the circumference of the tire in meters

Nady [450]

50 km/h = 50,000m / hr

= 50,000 / 60 = 833.333 m / minute

The tire rotates 500 times for this period

So the circumference of the tire = 833.333 / 500 m

= 1.67 m to the nearest hundredth

=

5 0

3 years ago

The desired percentage of Silicon Dioxide (SiO2) in a certain type of aluminous cement is 5.5. To test whether the true average

Reil [10]

Answer:

a) Null hypothesis : H₀ : μ = 5.5

Alternative Hypothesis : H₁ : μ < 5.5

b) The test statistic

|t| = |-3.33| = 3.33

c) P - value lies between in these intervals

0.001 < P < 0.005

Step-by-step explanation:

Step( i ):-

Given data the Population mean 'μ' = 5.5

The small sample size 'n' = 16

The sample mean (x⁻) = 5.25

Given the percentage of SiO2 in a sample is normally distributed with a sigma of 0.3.

Null hypothesis : H₀ : μ = 5.5

Alternative Hypothesis : H₁ : μ < 5.5

Level of significance ∝ = 0.01

Step(ii):-

The test statistic

$t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }$

$t = \frac{5.25 -5.5}{\frac{0.3}{\sqrt{16} } }$

On calculation , we get

t = -3.33

|t| = |-3.33| = 3.33

Step(iii):-

P - value

The degrees of freedom γ = n-1 = 16-1 =15

The calculated value t = 3.33 (check t-table) lies between the 0.001 to 0.005

0.001 < P < 0.005

Condition(i)

P - value < ∝ then reject H₀

Condition(ii)

P - value > ∝ then Accept H₀

we observe that 0.001 < P < 0.005

P- value < 0.01

we rejected H₀

(or)

The tabulated value = 2.60 at 0.01 level of significance with '15' degrees of freedom

The calculated value t = 3.33 > 2.60 at 0.01 level of significance with '15' degrees of freedom

The null hypothesis is rejected

Conclusion:-

Accepted Alternative hypothesis H₁

The Claim that the true average is smaller than 5.5

4 0

3 years ago

A bag is filled with small and large marbles. The ratio of small to large marbles is 1:3. On your own sheet of paper, draw a tap

34kurt

Tape diagrams are simple. Look at the picture I put in the comments

8 0

3 years ago

Read 2 more answers

Math whizzes assemble! this is a tough one, this is a question on my study guide its a screenshot, any help would be appreciated

irga5000 [103]

Answer:

14

Step-by-step explanation:

Knowing the first triangle is isosceles, and given the degree is 69.

We can find the top left angle as 180-69-69=42

42 combine with another angle to make a right angle

90-42=48.

The second triangle is also isosceles, so to find 2

we can use 180-42=138 (supplementary angles rule)

and given 10x-8=138

10x=140

x=14

3 0

3 years ago