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2 years ago

Let p: x=4 let q:y=-2

Mathematics

1 answer:

ICE Princess25 [194]2 years ago

6 0

Question:

Let p: x = 4 Let q: y = −2 Which represents "If x = 4, then y = −2”? p ∨ q p ∧ q p → q p ↔ q

Answer:

Option c: p → q

Explanation:

Option a: p ∨ q

p ∨ q means that either p is true or q is true or both are true.

Hence, Option a is not the correct answer.

Option b: p ∧ q

p ∧ q means that both p and q are true.

Hence, Option b is not the correct answer.

Option c: p → q

p → q means that if p is true, then q is also true.

Hence, Option c is the correct answer.

Option d: p ↔ q

p ↔ q means that if p is true, then q is true. If q is true, then p is true.

Hence, Option d is not the correct answer.

Thus, p → q is the correct option.

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EAB and DCB are two right triangles. The figure has BED≅ BDE. Point B is the midpoint of segment AC. Prove: EAB≅ DCB

aleksklad [387]

See the attached picture.

you are given that ABCE is an isosceles trapezoid. 

you are given that AB is parallel to EC. 

this means that AE is congruent to BC. 

you are given that AE and AD are congruent. 

triangle EAD is an isosceles triangle because AE and AD are congruent. 

this means that angle 1 is equal to angle 3. 

since angle 1 is equal to angle 2 and angle 3 is equal to angle 1, then angle 3 is also equal to angle 2. 

this means that AD and BC are parellel because their corresponding angles (angles 3 and 2) are equal. 

since AB is parallel to EC and DC is part of the same line, than AB is parallel to DC. 

you have AB parallel to DC and AD parallel to BC. 

if opposite sides of a quadrilateral are parallel, then the quadrilateral is a parallelogram. 

that might be able to do it,depending on whether all these statements are acceptable without proof. 

they are either postulates or theorems that have been previously proven. 

if not, then you need to go a little deeper and prove some of the statements that you used.. 

here's my diagram.

this is not a formal proof, but should give you some ideas about how to proceed. 

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2 years ago

A company will make a cereal box with whole number dimensions and a volume of 100 cubic centimeters. if cardboard costs $0.05 pe

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Answer:

The best dimension to use to have the least cost to make 100 boxes is 5 x 5 x 4. It only costs $6.50 to make 100 boxes.

Step-by-step explanation:

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2 years ago

A sample of 1714 cultures from individuals in Florida diagnosed with a strep infection was tested for resistance to the antibiot

Damm [24]

Answer:

a) $p$ represent the real population proportion of people who showed partial or complete resistance to the antibiotic

b) $\hat p=\frac{973}{1714}=0.568$ represent the estimated proportion of people who showed partial or complete resistance to the antibiotic

c) We are confident (95%) that the true proportion of individuals in Florida diagnosed with a strep infection was tested for resistance to the antibiotic penicillin present partial or complete resistance to the antibiotic is between 54.5% to 59.1%.

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Part a

Description in words of the parameter p

$p$ represent the real population proportion of people who showed partial or complete resistance to the antibiotic

$\hat p$ represent the estimated proportion of people who showed partial or complete resistance to the antibiotic

n=1714 is the sample size required

$z_{\alpha/2}$ represent the critical value for the margin of error

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Part b

Numerical estimate for p

In order to estimate a proportion we use this formula:

$\hat p =\frac{X}{n}$ where X represent the number of people with a characteristic and n the total sample size selected.

$\hat p=\frac{973}{1714}=0.568$ represent the estimated proportion of people who showed partial or complete resistance to the antibiotic

Part c

The confidence interval for a proportion is given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

And replacing into the confidence interval formula we got:

$0.568 - 1.96 \sqrt{\frac{0.568(1-0.568)}{1714}}=0.545$

$0.568 + 1.96 \sqrt{\frac{0.56(1-0.56)}{1714}}=0.591$

And the 95% confidence interval would be given (0.545;0.591).

We are confident that about 54.5% to 59.1% of individuals in Florida diagnosed with a strep infection was tested for resistance to the antibiotic penicillin present partial or complete resistance to the antibiotic.

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2 years ago

Q. You are working on an air conditioning system. A roll of cylindrical copper tubing has an outside diameter of 7/8 inch and an

diamong [38]

The refrigerant can hold 1.92 ft³

Step-by-step explanation:

The formula to apply is that of volume

v=π *r²*h where v is volume, r is radius of cylindrical object and h is height of tubing

Finding volume of using outside diameter

v=π*7/16*7/16*12

v=49/64 *3/1 *3.14

v=7.22 ft³

Volume using inside diameter

v=π*r²*h

v=3.14*3/8*3/8*12

v=5.30 ft³

Volume the refrigerant can hold is;

7.22-5.30 = 1.92 ft³

Learn More

Volume of a cylindrical object:brainly.com/question/2665971

Keywords :conditioning,system,roll,copper tubing,refrigerant

#LearnwithBrainly

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2 years ago

Tanvi finds that her robot vacuum can clean her 150-square-foot kitchen in 1 2 of an hour. How many square feet could the robot

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Answer:

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Step-by-step explanation:

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2 years ago

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