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2 years ago

DECIDE WHETHER THE CONGRUENCE STATEMENT IS TRUE. EXPLAIN YOUR REASONING.

Mathematics

1 answer:

kaheart [24]2 years ago

6 0

Yes it is because ejehhjekeb

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A rectangular prism with a volume of 5 cubic units is filled with cubes with side lengths of 1/3 unit how many unit cubes does i

Elenna [48]

Answer:

135 cubes would fill the prism

Step-by-step explanation:

volume of one small cube = (1/3)^3

= 0.037 cubic units

Number of cubes that would fill the prism =

5 cubic units / 0.037 cubic units

= 135 cubes

7 0

2 years ago

Let us suppose we have data on the absorbency of paper towels that were produced by two different manufacturing processes. From

maksim [4K]

Answer:

The 95% CI for the difference of means is:

$-155.45 \leq \mu_1-\mu_2 \leq -44.55$

Step-by-step explanation:

The question is incomplete:

"Find a 95% confidence interval on the difference of the towels mean absorbency produced by the two processes. Assumed that the standard deviations are estimated from the data. Round to two decimals places."

Process 1:

- Sample size: 10

- Mean: 200

- S.D.: 15

Process 2:

- Sample size: 4

- Mean: 300

- S.D.: 50

The difference of the sample means is:

$M_d=M_1-M_2=200-300=-100$

The standard deviation can be estimated as:

$\sigma_d=\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}\\\\\sigma_d=\sqrt{\frac{15^2}{10}+\frac{50^2}{4}} =\sqrt{22.5+625}=\sqrt{647.5}=25.45$

The degrees of freedom are:

$df=n_1+n_2-2=10+4-2=12$

The t-value for a 95% confidence interval and 12 degrees of freedom is t=±2.179.

Then, the confidence interval can be written as:

$M_d-t\cdot \sigma_d\leq \mu_1-\mu_2 \leq M_d+t\cdot \sigma_d\\\\-100-2.179*25.45\leq \mu_1-\mu_2 \leq -100+2.179*25.45\\\\-100-55.45 \leq \mu_1-\mu_2 \leq -100+55.45\\\\ -155.45 \leq \mu_1-\mu_2 \leq -44.55$

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2 years ago

Justin wants to buy a new bicycle, which costs $266.52. His parents have promised to contribute one-fourth of the cost of the bi

EleoNora [17]

Answer:

Step-by-step explanation:

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2 years ago

-(1 - 9x) - 8 helpppp meeeeeee

madreJ [45]

Answer

9x - 9

Step-by-step explanation

sorry im late

7 0

2 years ago

Juanita is the self-employed owner of Juanita's Linens. Her estimated annual earnings are $73,040 and she expects to pay 27% of

adell [148]

Answer:

$7724

Step-by-step explanation:

Her estimated quarterly income is $73,040/4 = $18,260.

Her estimated tax rate is ...

27% + 12.4% + 2.9% = 42.3%

This tax rate applied to her estimated earnings gives an estimated quarterly tax of ...

$18,260 × 0.423 = $7723.98

≈ $7724 . . . . . taxes are rounded to the nearest dollar

7 0

2 years ago

DECIDE WHETHER THE CONGRUENCE STATEMENT IS TRUE. EXPLAIN YOUR REASONING.​

DECIDE WHETHER THE CONGRUENCE STATEMENT IS TRUE. EXPLAIN YOUR REASONING.