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3 years ago

Carrie has 0.125 more than Larry, Larry has 3/4 more than Harry. In total they have 151. How much does Harry have

Mathematics

1 answer:

miv72 [106K]3 years ago

4 0

Answer:

Carrie has 0.125 more than Larry and Larry has 3/4 more than Harry. Between them Harry, Larry and Carrie have 151. How many does Harry have? Carrie=63, Larry=56, Harry=32.

Step-by-step explanation:

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The perimeter of an isosceles triangle is p = 2a + b. Find the numerical value of a if p = 10 and b = 3.

bagirrra123 [75]

P = 2a + b
10= 2a + 3
2a = 10-3
a = 7/2 = 3.5

Therefore, numerical value of a is 3.5

7 0

3 years ago

A professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their class

KIM [24]

Answer:

We conclude that seniors skip more than 2% of their classes at 0.01 level of significance.

Step-by-step explanation:

We are given that a professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their classes.

He randomly samples a group of seniors and out of 2521 classes, the group skipped 77.

Let p = percentage of seniors who skip their classes.

So, Null Hypothesis, $H_0$ : p $\leq$ 2% {means that seniors skip less than or equal to 2% of their classes}

Alternate Hypothesis, $H_A$ : p > 2% {means that seniors skip more than 2% of their classes}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of seniors who skipped their classes = $\frac{77}{2521}$

n = sample of classes = 2521

So, test statistics = $\frac{\frac{77}{2521} -0.02}{{\sqrt{\frac{\frac{77}{2521}(1-\frac{77}{2521})}{2521} } } } }$

= 3.08

The value of the test statistics is 3.08.

Now at 0.01 significance level, the z table gives critical value of 2.3263 for right-tailed test. Since our test statistics is more than the critical value of z as 2.3263 < 3.08, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that seniors skip more than 2% of their classes.

6 0

3 years ago

Please, help thanks! I would like an explanation how to do it too, IF you dont mind.

Aneli [31]

Answer:

Phoebe has £180, Andy has £60, and Polly has £30.

Step-by-step explanation:

Ok, to start of let's establish some variables! We'll give Phoebe the variable "p", Andy the variable "a", and Polly the variable "o". By giving each person a variable we can create an equation and solve for it!

So, what do we know?

Well we know the following information...

p + a + o = 270

(Phoebe + Andy + Polly = £270)

p = 3a

(Phoebe = 3 times more than Andy)

a = 2o

(Andy = 2 times more than Polly)

To be able to solve this equation we have to solve for just one variable first.The only one we can use is "o" for Polly!

3(2o) + 2o + o = 270

6o + 2o + o = 270 (Distribute 3 to get like terms)

9o = 270 (Combine like terms [6+2+1])

o = 30 (Divide by 9 on both sides to get "o" by itself)

Now that we have how much Polly has, we have to solve for Andy and Phoebe. (To do this we will input our value, 30, where our variable is "o")

Andy

a = 2(30) (Input term)

a = 60 (Multiply by 2 to get final answer)

(Since we now know what Andy has we can input 60 into our "a" variable to solve for Phoebe)

Phoebe

p = 3(60) (Input term)

p = 180 (Multiply by 3 to get final answer)

Now! Just to check we are going to input our variables into our original equation to be sure we have the right variables.

p + a + o = 270

180 + 60 + 30 = 270!!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

4 0

2 years ago

You have a $5,000 limit on your credit card. What is the largest balance you should carry on this card to maintain an acceptable

Volgvan

Answer:

Amount of balance maintain = $2,500

Step-by-step explanation:

Given:

Limit of credit card = $5,000

Debt ratio = 50%

Find:

Amount of balance to maintain

Computation:

Amount of balance to maintain = Limit of credit card × Debt ratio

Amount of balance to maintain = $5,000 × 50%

Amount of balance to maintain = $2,500

4 0

3 years ago

Substituting the equation y = 4x + 1 into the equation 2y = -x – 1 will produce the equation ________.

Allushta [10]

Answer:

Step-by-step explanation:

This is substitution method in solving simulteanous equations.

given y = 4x + 1

we will substitute y into 2y = -x-1

$2(4x + 1) = - x - 1 \\ 8x + 2 = - x - 1 \\ 8x + x + 2 = - 1 \\ 9x + 2 = - 1 \\ 9x = - 1 - 2 \\ 9x = - 3$

Therefore the answer is C.

8 0

2 years ago

Read 2 more answers