What is the largest number that can divide 35,50 and 40 exactly?

Assume that AABC= APQR. Which of the following congruence statements

Burka [1]

Answer:

Options B, D, E

Step-by-step explanation:

If triangle ABC and triangle PQR are congruent,

∠A ≅ ∠P

∠B ≅ ∠Q

∠C ≅ ∠R

AB ≅ PQ

BC ≅ QR

AC ≅ PR

Therefore, Options B, D, E are the correct options.

8 0

3 years ago

For the following inequality, indicate whether the boundary line should be dashed or solid. x + y < 2

Pachacha [2.7K]

Answer:

Its going to be solid...

Step-by-step explanation:

If the < then sign had a line underneath it then it is dashed but if it does not then its solid!..I love u

6 0

4 years ago

Read 2 more answers

Which fraction is equivalent to 6/36

kkurt [141]

1/6 all you have to do is simplify

8 0

4 years ago

Read 2 more answers

Dr. Pagels is a mammalogist who studies meadow and common voles. He frequently traps the moles and has noticed what appears to b

Rina8888 [55]

Answer:

The food preferences among vole species are independent of one another.

Step-by-step explanation:

The hypothesis can be defined as follows:

H₀: The food preferences among vole species are independent of one another.

Hₐ: There is a relationship between voles and food preference.

The data provided is:

meadow voles common voles

apple slices 15 21

peanut butter-oatmeal 25 16

A Chi-square test for the Goodness of fit will be used.

The expected values are computed using the formula:

$E_{i}=\frac{\text{ith Row Total}\times \text{jth Column Total}}{N}$

Consider the Excel sheet attached.

The Chi-square statistic value is 2.861.

Compute the degrees of freedom as follows:

df = (r - 1)(c - 1)

= (2 - 1)(2 - 1)

= 1

Compute the p-value as follows:

$p-value=P(\chi^{2}_{(1)}>2.861)=\text{CHISQ.DIST.RT(2.861,1)}=0.091$

The p-value = 0.091 > α = 0.05

The null hypothesis will not be rejected.

Thus, it can be concluded that the food preferences among vole species are independent of one another.

4 0

3 years ago

Delta makes 12-volt car batteries. These batteries are known to be normally

blondinia [14]

Answer:

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

Step-by-step explanation:

Step(i):-

Given that the sample size n =12 -volt car batteries

Let 'X' be a Random variable in a normal distribution

Given that mean of the normal distribution = 45 months

Given that the Standard deviation of the normal distribution = 8months

Step(ii):-

Let X₁ = 3 years = 12 × 3 = 36 months

$Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{36-45}{8} = -1.125$

Let X₂ = 4 years = 12 × 4 = 48 months

$Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{48-45}{8} = 0.375$

Step(iii):-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = P(-1.125≤Z≤0.375)

= P(Z≤0.375) - P(Z≤-1.125)

= 0.5 +A(0.375) - (0.5-A(1.125)

= 0.5 + 0.1480 - (0.5 -0.3708)

= 0.1480 + 0.3708

= 0.5188

Final answer:-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

5 0

3 years ago

What is the largest number that can divide 35,50 and 40 exactly? ​

What is the largest number that can divide 35,50 and 40 exactly?