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sertanlavr [38]
3 years ago
10

You need at least $635 to go on a trip to Washington, DC. You already have $75 saved for the trip. You decide to save an additio

nal $65 per week. Which inequality shows the number of weeks, w, you need to save to be able to go on the trip?
Mathematics
1 answer:
Reika [66]3 years ago
4 0

Answer: $75 + $65w ≥ $635

Step-by-step explanation:

$635 is your goal and how much money you should earn

$75 is your already saved money

$65 is how much you're going to save every week

Ask yourself, how many weeks do you have to save money before you reach your goal of $635. Since we don't know this value, it's a variable, w.

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Click on the measurement that is equal to 24 kilograms
kenny6666 [7]

Answer:

24000 grams

Step-by-step explanation:

1kg = 1000 grams

So 24kg × 1000 = 24000 grams

3 0
3 years ago
Suppose that scores on a knowledge test are normally distributed with a mean of 60 and a standard deviation of 4.3. Scores on an
Sphinxa [80]

Question:

(c) Boris also took a logic test. His z-score on that test was +0.93 . Does this change the answer to which test Boris performed better on? Explain your answer using z-scores.

Answer:

The answers to the questions are;

(a) Based on the z score, Boris perform better on his aptitude test.

(b) Based on the z score, Callie perform better on his knowledge test .

(c) For Boris since +0.93 = z_{logic} >  z_{knowledge}  >  z_{aptitude}

Yes as Boris now performed best on the logic test.

Step-by-step explanation:

The z-score of a score is a measurement of the score withe respect to its distance from the mean as a factor of the standard deviation.

To solve the question, we note that we are required to find the z score as follows.

z score is given by z = \frac{x -\mu}{\sigma}

Where:

z = Standard score

x = Score

σ = Standard deviation

μ = Mean

(a) To find out which test did Boris performed better usin z score, we have

Boris scored a

57 on the knowledge test and

106 on the aptitude test

Therefore the z sore for the knowledge test is

z = \frac{x -\mu}{\sigma}

Here

x = 57

μ = 60

σ = 4.3

Therefore

z_{knowledge} = \frac{57 -60}{4.3} = -3/4.3 = -30/43 = -0.6977

The z sore for Boris on the aptitude test is

Here

x = 106

μ = 110

σ = 7.1

z_{aptitude} = \frac{106 -110}{7.1} = -40/17 = -0.5634

Based on the z score, Boris perform better on the aptitude test as his z score is higher (on the number line), --0.5634, compared to the z score on the knowledge test , -0.6977

(b) For Callie we have

Callie scored a

63 on the knowledge test and

114 on the aptitude test

Therefore the z sore for the knowledge test is

z = \frac{x -\mu}{\sigma}

Here

x = 63

μ = 60

σ = 4.3

Therefore

z_{knowledge} = \frac{63 -60}{4.3} = 3/4.3 = 30/43 = 0.6977

The z sore for Callie on the aptitude test is

Here

x = 114

μ = 110

σ = 7.1

z_{aptitude} = \frac{114 -110}{7.1} = 40/17 = 0.5634

Based on the z score, Callie perform better on the knowledge test as his z score is higher (on the number line), 0.6977, compared to the z score on the aptitude test , 0.5634.  

(c) If z_{logic}  = +0.93 then sinc for Boris z_{knowledge} = -0.6977 and

z_{aptitude}=  - 0.5634 then

z_{logic} >  z_{knowledge}  >  z_{aptitude}

Therefore Boris now performed best on the logic test.

6 0
2 years ago
50 is ____________ times as large as 5.
coldgirl [10]

Answer: 10

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Given that A varies directly as B and inversely as C and that; A=12 when B=3 and C=2. Find B when A=10 and C=1.5​
maria [59]

Answer:

B = 1.875

Step-by-step explanation:

given that A varies directly as B and inversely as C then the equation relating them is

A = \frac{kB}{C} ← k is the constant of variation

to find k use the condition A = 12 when B = 3 and C = 2 , then

12 = \frac{3k}{2} ( multiply both sides by 2 to clear the fraction )

24 = 3k ( divide both sides by 3 )

8 = k

A = \frac{8B}{C} ← equation of variation

when A = 10 and C = 1.5 , then

10 = \frac{8B}{1.5} ( multiply both sides by 1.5 )

15 = 8B ( divide both sides by 8 )

1.875 = B

8 0
2 years ago
Please, I need help with this!! :(
hram777 [196]
PQS = 40 because if you look at the image above it half equals 20 and 20+20=40
4 0
3 years ago
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