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Umnica [9.8K]
2 years ago
15

You bought a magazine for $5 and some notepads for $3 each. You spent a total of $26. How many notepads did you buy?

Mathematics
2 answers:
german2 years ago
8 0

Answer:

7 notepads

Step-by-step explanation:

5 + 3x = 26

Subtract constant (5)

3x = 21

Divide by coefficient (3)

x=7

natka813 [3]2 years ago
4 0

Answer:

7

Step-by-step explanation: So you know a magazine cost 5 dollars so you just add three until you get to 26. The answer would be 7

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Perform the indicated operation: (-1 1/2)(-3/2)
LiRa [457]

Answer:

=8 1/4 as a fraction or 8.25 in decimal form.

Step-by-step explanation:

The indicated operation is the product of the two fractions. Multiplication opens the brackets.

(-11/2)×(-3/2)

=(-11×-3)/(2×2)

=33/4

The negative signs before each term cancel out in multiplication and division.

=33/4 =8 1/4= 8.25

Choose 1 answer among the improper fraction, Mixed fraction or the decimal.

6 0
3 years ago
140 is what percent of 500?​
MAXImum [283]

Answer:

28%

Step-by-step explanation:

5 0
3 years ago
A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain sca
saul85 [17]

Answer:

The 95% confidence interval for the difference would be given by (-1.776;0.376)

We are 95% confidence that the true mean difference is between -1.776 \leq \mu_d \leq 0.376. Since the confidence interval contains the value 0, we don't have enough evidence to conclude that hypnotism appear to be effective in reducing pain.

Step-by-step explanation:

Previous concepts

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".

Let put some notation  

x=test value before , y = test value after

x: 6.4 2.6 7.7 10.5 11.7 5.8 4.3 2.8

y: 6.7 2.4 7.4 8.1 8.6 6.4 3.9 2.7

The differences defined as d_i = y_i -x_i and we got:

d: 0.3, -0.2, -0.3, -2.4, -3.1, 0.6, -0.4, -0.1

We can calculate the mean and the deviation for the sample with the following formulas:

\bar d=\frac{\sum_{i=1}^n d_i}{n}

s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1}

\bar d=-0.7 represent the sample mean for the difference

\mu_d population mean (variable of interest)

s_d=1.32 represent the sample standard deviation

n=8 represent the sample size  

Confidence interval

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

\bar d \pm t_{\alpha/2} *\frac{s_d}{\sqrt{n}}  (1)

In order to calculate the critical value t we need to find first the degrees of freedom, given by:

df=n-1=8-1=7

Since the Confidence is 0.95 or 95%, the value of alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,8)".And we see that t_(\alpha/2)=2.306

Now we have everything in order to replace into formula (1):

-0.7-2.306\frac{1.32}{\sqrt{8}}=-1.776    

-0.7+2.306\frac{1.32}{\sqrt{8}}=0.376    

So on this case the 95% confidence interval for the difference would be given by (-1.776;0.376)

We are 95% confidence that the true mean difference is between -1.776 \leq \mu_d \leq 0.376. Since the confidence interval contains the value 0, we don't have enough evidence to conclude that hypnotism appear to be effective in reducing pain.

6 0
3 years ago
Could someone help me ASAP, thanks !!
Rashid [163]

Answer:

I think this is the right answer but last two signs are incorrect

Hope this will help

6 0
3 years ago
Read 2 more answers
Sindi borrowed an amount of money from his
PolarNik [594]

The present value of the loan is R576923.

<h3>What is compound interest ?</h3>

Compound interest is giving the current instalment in terms of the total previous amount.

The formula is given by

A = P(1 + r/100)ⁿ.

Where,

A = Amount, P = Principle, r = rate of interest, n = Time in years.

In case the compound if interest is given every two months that is 6 instalments each year the above given formula will be

A = P{ 1 + (r/6)/100 }⁶ⁿ.

According to the given question

Rate(r) = 7.5%

Time(n) = 6 years

The loan will be paid back in 6 years every second month and it is compounded.

∴ No. of instalments = (12 × 6)/2

= 36.

Now each instalments is of R25000

So, The total amount she has to pay back to his father is

= (25000 × 36)

= R900000.

We know compounding every two months is

A = P(1 + r/100)ⁿ

900000 = P{ 1 + (7.6/6)/100 }³⁶

900000 = P{ 1 + 1.25/100 } ³⁶

900000 = P(1.0125)³⁶

900000 = 1.56P

∴ P = 576923.

Learn more about compound interest here :

brainly.com/question/13155407

#SPJ1

3 0
1 year ago
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