Can someone plz help me solved this problem I need help ASAP plz help me! Will mark you as brainiest!

Answer:

(A)$10,500

Step-by-step explanation:

Joe contributed $6000 out of a salary of $50,000.

6% of $50,000=$3000

Since his employer matches 100% of his contributions for the first 6%:

The employer adds $3000.

For the other $3000, Jose's employer matches 50%.

Therefore, the employer adds:

50% X 3000=$1500

Total Contribution by Jose's Employer = $3000+1500=$4500

Therefore, the total amount that was contributed to Jose's account last year

=Joe's Contribution + Employer's Contribution

=6000+4500

=$10,500

The correct option is A.

The correct answer is $10,500.

Answer:

[See Below]

Step-by-step explanation:

Point slope form is: [tex]y-y_1=m(x-x_1)[/tex]

'm' is the slope

(x1, y1) is a coordinate point.

Slope is rise over run. [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (-1,5) and (3,-3).

[tex]\frac{-3-5}{3-(-1)}=\frac{-8}{4}= -2[/tex]

The slope of the line is -2.

I will use (-1,5) as the point:

[tex]y-y_1=m(x-x_1)\rightarrow\boxed{y-5=-2(x+1)}[/tex]

Slope intercept is: [tex]y=mx+b[/tex]

'm' - Slope

'b' - y-intercept

We can use the point slope equation to convert it into slope intercept form:

[tex]y-5=-2(x+1)\\\\y-5=-2x-2\\\\y-5+5=-2x-2+5\\\\\boxed{y=-2x+3}[/tex]

Standard form is [tex]Ax+By=C[/tex]

Using out slope intercept form equation:

[tex]y=-2x+3\\\\y+2x=-2x+2x+3\\\\1y+2x=3\\\\\boxed{2x+1y=3}[/tex]

Answer:

[tex] 2 \sqrt{21} is \: the \: ans[/tex]

Step-by-step explanation:

given;abc is a right angled triangle.

by takingr eference reference angle c

p=ab=? ,h=bc=10 ,b=ac=4.

by the Pythagoras relation we get;

[tex]p = \sqrt{h {}^{2} - b {}^{2} } [/tex]

so ,p=

[tex] \sqrt{10 {}^{2} - 4 {?}^{2} } [/tex]

==

=

[tex] = 2 \sqrt{21} [/tex]

is ans

Answer:

after 7 seconds the driver applied the brakes to stop the car.

Step-by-step explanation:

Given:

The position of the car s(t)=[tex]42t-3t^2[/tex]

∴Speed of the car =[tex]\frac{ds}{dt}=\frac{d(42t-3t^2)}{dt}=42-6t[/tex]

When car stopped the speed of car=0

[tex]\Rightarrow42-6t=0\\\Rightarrow6t=42\\\Rightarrow\ t=7[/tex]

Therefore, after 7 seconds the driver applied the brakes to stop the car.

Answer:

Volume: 1080

Surface area: 654

Step-by-step explanation:

Part A:

How to solve surface Area: 2×(9×15 + 9×8 + 15×8)

How to solve volume: 9x15x8

Part B:

Surface Area

Part C:

Volume

Hope this helps

Answer:

(a) The probability that his weight is between 150 lb and 201 lb is 0.3428.

(b) The probability that the sample mean weight is between 150 lb and 201 lb is 0.011.

(c) When redesigning the ejection seat, the probability of a single pilot is more relevant as discussed in part (a).

Step-by-step explanation:

We are given that the seat was designed for pilots weighing between 130 lb and 181 lb.

The new population of pilots has normally distributed weights with a mean of 140 lb and a standard deviation of 27.3 lb.

Let [tex]\bar X[/tex] = sample mean price for a movie in the United States

SO, X ~ Normal([tex]\mu=140,\sigma^{2} =27.3^{2}[/tex])

(a) The z-score probability distribution for the normal distribution is given by;

                              Z  =  [tex]\frac{ X-\mu}{\sigma}} }[/tex]  ~ N(0,1)

where,  [tex]\mu[/tex] = population mean weights = 140 lb

            [tex]\sigma[/tex] = standard deviation = 27.3 lb

Now, the probability that his weight is between 150 lb and 201 lb is given by = P(150 lb < X < 201 lb) = P(X < 201 lb) - P(X [tex]\leq[/tex] 150 lb)

         P(X < 201 lb) = P( [tex]\frac{ X-\mu}{\sigma}} }[/tex] < [tex]\frac{ 201-140}{27.3}} }[/tex] ) = P(Z < 2.23) = 0.9871

         P(X [tex]\leq[/tex] 150 lb) = P( [tex]\frac{ X-\mu}{\sigma}} }[/tex] [tex]\leq[/tex] [tex]\frac{ 150-140}{27.3}} }[/tex] ) = P(Z [tex]\leq[/tex] 0.37) = 0.6443

The above probability is calculated by looking at the value of x = 2.23 and x = 0.37 in the z table which has an area of 0.9871 and 0.6443.

Therefore, P(150 lb < X < 201 lb) = 0.9871 - 0.6443 = 0.3428.

(b) Let [tex]\bar X[/tex] = sample mean weight

The z-score probability distribution for the sample mean is given by;

                              Z  =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where,  [tex]\mu[/tex] = population mean weight = 140 lb

            [tex]\sigma[/tex] = standard deviation = 27.3 lb

            n = sample of pilots = 39

Now, the probability that the sample mean weight is between 150 lb and 201 lb is given by = P(150 lb < [tex]\bar X[/tex] < 201 lb) = P([tex]\bar X[/tex] < 201 lb) - P([tex]\bar X[/tex] [tex]\leq[/tex] 150 lb)

       P([tex]\bar X[/tex] < 201 lb) = P( [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]\frac{201-140}{\frac{2.73}\sqrt{39} } }[/tex] ) = P(Z < 13.95) = 0.9999

       P([tex]\bar X[/tex] [tex]\leq[/tex] 150 lb) = P( [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] [tex]\leq[/tex] [tex]\frac{150-140}{\frac{2.73}\sqrt{39} } }[/tex] ) = P(Z [tex]\leq[/tex] 2.29) = 0.9889

Therefore, P(150 lb < [tex]\bar X[/tex] < 201 lb) = 0.9999 - 0.9889 = 0.011.

(c) When redesigning the ejection seat, the probability of a single pilot is more relevant as discussed in part (a) because it is important to look after the safety of each and every pilot not of a particular sample.

Answer:

The mass of half a liter of water is 500g, that is, 0.5kg.

Step-by-step explanation:

Density is mass divided by the volume, that is:

[tex]d = \frac{m}{v}[/tex]

Here, we have to be careful. Since the density is in grams per cm³, m has to be in grams and v in cm³.

We have that:

[tex]d = 1[/tex]

What is the mass of half a liter of water?

One liter is 1000 cm³.

So half a liter is 1000/2 = 500 cm³, which means that [tex]v = 500[/tex]

Then

[tex]d = \frac{m}{v}[/tex]

[tex]1 = \frac{m}{500}[/tex]

[tex]m = 500[/tex]

The mass of half a liter of water is 500g, that is, 0.5kg.

Answer:

[tex]0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286[/tex]

[tex]0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562[/tex]

The 99% confidence interval would be given by (0.286;0.562)

Step-by-step explanation:

Information given:

[tex] X= 36[/tex] represent the families owned at least one DVD player

[tex] n= 85[/tex] represent the total number of families

[tex]\hat p=\frac{36}{85}= 0.424[/tex] represent the estimated proportion of families owned at least one DVD player

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by [tex]\alpha=1-0.99=0.01[/tex] and [tex]\alpha/2 =0.05[/tex]. And the critical value would be given by:

[tex]z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58[/tex]

The confidence interval for the mean is given by the following formula:  

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

If we replace the values obtained we got:

[tex]0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286[/tex]

[tex]0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562[/tex]

The 99% confidence interval would be given by (0.286;0.562)

Answer:

[tex] P(X=3)[/tex]

And we can use the probability mass function and we got:

[tex]P(X=3)=(3C3)(0.45)^3 (1-0.45)^{3-3}=0.091[/tex]

Then the probability that all three have a smart phone is 0.091

Step-by-step explanation:

Let X the random variable of interest "number of students with smartphone", on this case we now that:

[tex]X \sim Binom(n=3, p=0452)[/tex]

The probability mass function for the Binomial distribution is given as:

[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]

Where (nCx) means combinatory and it's given by this formula:

[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]

And we want to find this probability:

[tex] P(X=3)[/tex]

And we can use the probability mass function and we got:

[tex]P(X=3)=(3C3)(0.45)^3 (1-0.45)^{3-3}=0.091[/tex]

Then the probability that all three have a smart phone is 0.091

Answer:

[tex]-15.11[/tex]

Step-by-step explanation:

[tex]-12.48-(-2.99)-5.62=\\-12.48+2.99-5.62=\\-9.49-5.62=\\-15.11[/tex]

Answer:

-15.11

Step-by-step explanation:

-12.48+2.99-5.62=

-9.49 - 5.62= - (9.49+5.62)=-15.11

Answer:

96mm

Step-by-step explanation:

4 times 4 will give you the area of one face of a square, which is 16. Squares have 6 faces, so multiply 16 times 6, to get 96mm.

Answer:

96mm  

Step-by-step explanation:

4* 4=16

Also, will give you the area of one face of a square. Squares have 6 faces, so multiply 16*6, which equals 96 mm.

Answer:

130 women

Step-by-step explanation:

First set up a system of equations:

1.23W+2.50M=365.00

W+M=211

Using substitution you get:

1.25W+2.50(211-W)=365.00

Simplify:

-1.25W=-162.5

Divide:

W=130

Answer:

A. [tex](2b+7)^2[/tex]

Step-by-step explanation:

[tex]4b^2 +28b + 49\\=(2b)^2 + 2\times 2b\times 7 + (7)^2\\=(2b+7)^2[/tex]

90% of 18% = .9*.18 = 0.162 = 16.2%

So 18 - 16.2 = 1.8 = 18% of them labeled as not defective  

are actually defective.

Please mark me brainliest!

Answer:

1.8%

Step-by-step explanation:

90% × 18% = 16.2%

18% - 16.2% = 1.8%

1.8% is the probability of an incorrect conclusion.

Complete question:

A police car is located 50 feet to the side of a straight road. A red car is driving along the road in the direction of the police car and is 130 feet up the road from the location of the police car. The police radar reads that the distance between the police car and the red car is decreasing at a rate of 75 feet per second. How fast is the red car actually traveling along the road.

Answer:

The red car is traveling along the road at 80.356 ft/s

Step-by-step explanation:

Given

Police car is 50 feet side off the road

Red car is 130 feet up the road

Distance between them is decreasing at the rate of 75 feet per sec

Let x be how far the police is off the road.

Let y be how far the red car is up the road.  

Let h be the distance between the police and the red car.

This forms a right triangle so we can use the Pythagorean theorem, to solve for h

h² = x² + y²

h² = 50² + 130²

h² = 19400

h = √19400

h = 139.284 ft

Again;

Let dx/dt be how fast the police is traveling toward the road.

Let dy/dt  be how fast the red car is traveling along the road.

Let dh/dt be how fast the distance between the police and the car is decreasing.

Recall that, h² = x² + y² (now differentiate with respect to time, t)

2h(dh/dt) = 2x(dx/dt) + 2y(dy/dt)

divide through by 2

h(dh/dt) = x(dx/dt) + y(dy/dt)

since the police car is not, dx/dt = 0

and dy/dt is the how fast is the red car actually traveling along the road

139.284(75) = 50(0) + 130(dy/dt)

10446.3 = 0 + 130(dy/dt)

dy/dt = 10446.3 / 130

dy/dt = 80.356 ft/s

Therefore, the red car is traveling along the road at 80.356 ft/s

Answer:

B

Step-by-step explanation

Answer: £36

Step-by-step explanation:

4 Euros = £3

48 Euros (4x12) = £36 (3x12)

Answer:

£ 36.00

Step-by-step explanation:

£ 3 = € 4

Divide both sides by 4.

£ 3/4 = € 1

1 euro is 3/4 pound.

48 × 3/4 = 36

£ 36 = € 48

48 pounds is 36 euros.

Answer:

65

Step-by-step explanation:

We know that,

The Sum of all angles of the triangle is 180°.

As given in the question,

Triangle PQR is similar to Triangle WXY

Therefore ,

Let the third angle be 'x'.

35° + 80° + x = 180°

115 + x = 180°

x = 180° - 115°

x = 65°.

Hence, 65° is the appropriate answer to the question.

I hope my answer helped!!

Answer: D. [tex]y+4=(x+2)[/tex]

Step-by-step explanation: Once you subtract [tex]4[/tex] from both sides, in order to solve for y (as the equation needs to be in the slope-intercept form, otherwise known as [tex]y=mx+b[/tex]), you end up with [tex]y=x-2[/tex], which is the right answer. It is the correct answer because the y-intecept shown in the equation matches what is on the graph, in addition to the fact that the slope is just [tex]x[/tex].

Answer:

(D)0.9836

Step-by-step explanation:

There are 365 days in a year.

Since each person has a different birthday:

Therefore,

P(4 randomly selected people all have different birthdays)

[tex]=\dfrac{365}{365} \times \dfrac{364}{365} \times \dfrac{363}{365} \times \dfrac{362}{365}\\\\=0.9836[/tex]

Answer:

B). 3 1/2(-2) = -7

Step-by-step explanation:

Let's evaluate the expression so as to be able to get the right estimate.

3 4/7 (-2 1/12)

=3 4/7 (-25/12)

= 25/7 * -25/12

= 25/7 * -25/12

= -625/84

= -7 37/84

Approximately it's equal to ,-7

Answer:

b  

Step-by-step explanation:

got  it right on edge

Answer:

C. 2.75P

Step-by-step explanation:

The original value was P.

It increased by 275%. That means it increased by 275% of P.

275% of P = 2.75P

The increase in value is 2.75P.

Now we add the increase to the original value of P to find today's value.

2.75P + P = 3.75P

Answer: C. 2.75P

Step-by-step explanation:

[tex]( {n}^{3} )^{2} = {n}^{6} = n \times n \times n \times n \times n \times n [/tex]

Answer:

n x n x n x n x n x n

Step-by-step explanation:

(n^3)^2 = n^6 = n x n x n x n x n x n

Answer:

The price per ounce should have been 1.25 per ounce

Step-by-step explanation:

The price per ounce should have been 1.25 per ounce

-google

(found it online)

XD - don't delete/report!

Answer:

1.25

Step-by-step explanation:

Answer:

He has  2,772 ways

Step-by-step explanation:

Hello,

the teacher has to choose 6 students and there are 11 students in total.

When he chooses the first student he has 11 choices

if he has to choose 1 students he has 11 ways to do it

then for the second one he has 11-1=10 choices

if he has to choose 2 students he has (11*10)/2 ways to do it (we do not count the duplicate - for instance if he chooses Steve and then Nils or Nils and then Steve this is only one group (Steve, Nils) we do not care of the order)

Then for the third student he has 10-1=9 choices

if he has to choose 3 students he has (11*10*9)/(2*3) ways to do it (we do not take into account the order of ppl in the group)

and so on and so forth

...

if he has to choose 6 students he has (11*10*9*8*7*6)/(2*3*4*5)

so he has  2,772 ways

Answer:

C. 462 is correct. I did the test.

Step-by-step explanation:

Answer:

B, C and D

Step-by-step explanation:

Given:

Statement: "Every integer has an additive inverse"

To find: statement that is equivalent to the given statement

Solution:

For any integer x, if [tex]x+y=0[/tex] then y is the additive inverse of x.

Here, 0 is the additive identity.

Statements ''All integers have additive inverses '', '' If x is an integer, then x has an additive inverse'' and  ''Given an integer x, there exists a y such that y is the additive inverse of x'' are equivalent to the given statement "Every integer has an additive inverse".

Answer:

  False

Step-by-step explanation:

Dilation changes the side lengths, but not the angles. The given statement is FALSE.

Answer:

x=10 and x-7 is the answer

Step-by-step explanation:

a)2x-7=13

2x=13+7

2x=20

x=20/2

x=10

b)3x+4=25

3x=25-4

3x=21

x=21/3

x=7

i hope it will help you

Answer:

a) [tex]x=10[/tex]

b) [tex]x=7[/tex]

Step-by-step explanation:

a)

2x-7=13

Add 7 to both sides

2x=20

Divide both sides by 2

x=10

b)

3x+4=25

Subtract 4 from both sides

3x=21

Divide both sides by 3

x=7

Answer:

They aren't wrong. The program is.

Step-by-step explanation:

The numbers you entered are the answers that matches the correct answers. It is a program error.