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3 years ago

Is step 3 correct or would I change 5/2 into a decimal?

Mathematics

2 answers:

Rzqust [24]3 years ago

8 0

Answer:

keep it man u will do ok just be careful with other problems

Step-by-step explanation:

I am Lyosha [343]3 years ago

6 0

Answer:

Good Job!!! You would keep it as a fraction. My teacher said to NEVER use decimals with problems like these.

Step-by-step explanation:

You might be interested in

Why does the fact family for 81 and 9 only have two number sentences?

sukhopar [10]

Because, 9 x 9 = 81. Hope I helped!

6 0

3 years ago

A garbabge cn shape like a rectangular prism the lenght is 8 feet the width is 4 feet and the height is five feet what is the vo

V125BC [204]

Answer:

160 feet³

Step-by-step explanation:

Volume of a rectangular prism = length x breadth x height

8 feet x 4 feet x 5 feet = 160 feet³

8 0

3 years ago

Find the interest earned.

SCORPION-xisa [38]

June is 30 days
30-12=18 days
July is 31 days
August is 30 days
Time=18+31+30=79 days
A=2,750×(1+0.035÷365)^(79)
A=2,770.91
Interest earned
I=A-p
I=2770.91-2750
I==20.91

4 0

3 years ago

Triangle X Y Z is cut by line segment C D. Line segment C D goes from side X Y to side Y Z. The length of C D is 15, the length

Marizza181 [45]

The length of DZ is 4 units ⇒ 3rd answer

Step-by-step explanation:

Triangle X Y Z is cut by line segment C D, where

C lies on side XY and D lies on the side YZ
The length of C D is 15
The length of X Z is 18
The length of C Y is 25
The length of Y D is 20
C D and X Z are parallel
CX = 5 units

We need to find the length of DZ

In Δ XYZ

∵ C ∈ XY and D ∈ YZ

∵ CD // XZ

∴ m∠YCD = m∠YXZ ⇒ alternate angles

∴ m∠YDC = m∠YZX ⇒ alternate angles

In Δs YCD and YXZ

∵ m∠YCD = m∠YXZ

∵ m∠YDC = m∠YZX

∵ ∠Y is a common angle

∴ Δ YCD is similar to Δ YXZ by AAA postulate

- There is a constant ratio between their corresponding sides

∴ $\frac{YC}{YX}=\frac{CD}{XZ}=\frac{YD}{YZ}$

∵ YC = 25 units

∵ CX = 5 units

∵ YX = YC + CX

∴ YX = 25 + 5 = 30 units

∵ YD = 20 units

∵ YZ = YD + DZ

∴ YZ = 20 + DZ

Let us use the ratio of the corresponding side

∵ $\frac{YC}{YX}=\frac{YD}{YZ}$

∴ $\frac{25}{30}=\frac{20}{20+DZ}$

- Simplify $\frac{25}{30}$ by dividing up and down by 5

∵ $\frac{25}{30}=\frac{5}{6}$

∴ $\frac{5}{6}=\frac{20}{20+DZ}$

- By using cross multiplication

∴ 5(20 + DZ) = 6(20)

∴ 100 + 5 DZ = 120

- Subtract 100 from both sides

∴ 5 DZ = 20

- Divide both sides by 5

∴ DZ = 4 units

The length of DZ is 4 units

Learn more:

You can learn more about triangles in brainly.com/question/3202836

#LearnwithBrainly

8 0

3 years ago

Tensile-strength tests were carried out on two different grades of wire rod. Grade 1 has 10 observations yielding a sample mean

LuckyWell [14K]

Answer:

$t = \frac{1085-1034}{\sqrt{\frac{52^2}{10} +\frac{61^2}{15}}} = 2.240$

$df = n_1 +n_2 -2 = 10+15-2= 23$

$p_v = 2*P(t_{23} >2.240) = 0.035$

Since the p value is lower than the significance level we have enough evidence to conclude that the true means are different at 5% of significance

Step-by-step explanation:

Data given

$\bar X_1 = 1085$ sample mean for group 1

$\bar X_2 = 1034$ sample mean for group 2

$n_1 = 10$ sample size for group 1

$n_2 = 15$ sample size for group 2

$s_1 = 52$ sample deviation for group 1

$s_2 = 61$ sample deviation for group 2

Solution

We want to check if the two means are equal so then the system of hypothesis are:

Null hypothesis: $\mu_1= \mu_2$

Alternative hypothesis: $\mu_1 \neq \mu_2$

And the statistic is given by:

$t = \frac{\bar X_1 -\bar X_2}{\sqrt{\frac{s^2_1}{n_1}+\frac{s^2_2}{n_2}}}$

And replacing we got:

$t = \frac{1085-1034}{\sqrt{\frac{52^2}{10} +\frac{61^2}{15}}} = 2.240$

The degrees of freedom are given by:

$df = n_1 +n_2 -2 = 10+15-2= 23$

And the p value would be:

$p_v = 2*P(t_{23} >2.240) = 0.035$

Since the p value is lower than the significance level we have enough evidence to conclude that the true means are different at 5% of significance

8 0

3 years ago