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3 years ago

5. The sum of two numbers is 24. Five times the first number minus the second

Mathematics

2 answers:

photoshop1234 [79]3 years ago

8 0

Answer:

6 and 18

Step-by-step explanation:

a+b=24

5a-b=12

5a+a=6a

24+12=36

6a=36 so A on it's own is 6

24-6=b

b=18

hope this helps!

Hitman42 [59]3 years ago

4 0

Answer 6 and 8

Explanation because it’s the two number for the question

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) The manager of a local Gap store estimates that on average the probability of a customer entering the store and will purchase

xeze [42]

Answer: 1. 0.0256

2. 0.4096

Step-by-step explanation:

Binomial probability formula , to find the probability of getting x successes:

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where n= Total number of trials

p= Probability of getting success in each trial.

Let x be the number of customers will make purchase.

As per given , we have

p= 0.20

n= 4

1. The probability that 3 of the next 4 customers will make a purchase will be:-

$P(x=3)=^4C_3(0.20)^3(1-0.20)^{4-3}$

$P(x=3)=(4)(0.20)^3(0.80)^{1}\ \ [\because\ ^nC_{n-1}=n]$

$P(x=3)=(4)(0.008)(0.80)=0.0256$

Hence, the probability that 3 of the next 4 customers will make a purchase = 0.0256

2. The probability that none of the next 4 customers will make a purchase will be :

$P(x=0)=^4C_0(0.20)^0(1-0.20)^{4-0}$

$P(x=0)=(1)(0.80)^{4}\ \ [\because\ ^nC_{0}=1]$

$P(x=0)=0.4096$

Hence, the probability that none of the next 4 customers will make a purchase= 0.4096

5 0

3 years ago

PLZ HELP its Triangle Properties and where using the 45º-45º-90º Triangle Theorem and the 30º-60º-90º Triangle Theorem.

den301095 [7]

Answer:

The answer to your questions is below

Step-by-step explanation:

4.-

In a 45°-45°-90° triangle, the length of the legs are "x" and the length of the hypotenuse is x $\sqrt{2}$

Then, in this problem, the length of the leg is 7 then the length of the hypotenuse will be 7 $\sqrt{2}$

5.- In a 30°-60°-90° triangle, the length of the hypotenuse is 2x, the length of the longer leg is x $\sqrt{3}$ and the length of the shorter leg is x.

In this problem we have the length of the hypotenuse = 20 and find x.

2x = 20

x = 20/2

x = 10

longer leg = x $x\sqrt{3} = 10\sqrt{3}$

6.- nonzero

7.- hypotenuse = 20 cm

Find x

2x = 20

x = 20/2

x = 10

Shoter leg = x = 10 cm

4 0

3 years ago

Read 2 more answers

I need help on this please

rjkz [21]

Answer:

maybe rotation.........i think....

7 0

3 years ago

In a survey of 12 people, it was found that an average of $36 was spent on their child's last birthday gift with a standard devi

Nataliya [291]

Answer:

(27.3692 ; 44.6308)

Step-by-step explanation:

Mean, xbar = 36

Standard deviation, s = 11

Sample size, n = 12

Tcritical at 0.2, df = 12 - 1 = 11 ; Tcritical = 2.718

Confidence interval :

Xbar ± Margin of error

Margin of Error = Tcritical * s/sqrt(n)

Margin of Error = 2.718 * 11/sqrt(12) = 8.6308

Confidence interval :

Lower boundary : 36 - 8.6308 = 27.3692

Upper boundary : 36 + 8.6308 = 44.6308

(27.3692 ; 44.6308)

3 0

3 years ago

Use a graphing calculator to find the value of the correlation coefficient r to determine if there is a strong correlation among

OlgaM077 [116]

The value for r = - 0.8535 , there is strong correlation between the variables.

<h3>What is a correlation coefficient ?</h3>

Correlation coefficient describes the relationship between the two variables in the data .

The data given is

(1, 7), (2, 5), (3, -1), (4, 3), (5, -5)

Assuming Linear Regression ,

The data is plotted on the graphing calculator

The value for r = - 0.8535

as the value is in the range of - .85 to -1 , therefore there is strong correlation between the variables.

To know more about Correlation Coefficient

brainly.com/question/15577278

#SPJ1

3 0

2 years ago