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3 years ago

Solve the inequality showing all steps needed to justify your answer. State your solution in interval notation

Mathematics

1 answer:

dybincka [34]3 years ago

5 0

Which two measures did the United States take to counter terrorism after the September 11 attacks?

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Now, solve this problem. 106% of $ _______ = $7.95

Alex787 [66]

Answer:

7.5

Step-by-step explanation:

106% of $x = $7.95

In other words,

$\frac{106}{100}$ of $x = 7.95

Multiplying both sides of the equation by $\frac{100}{106}$

$\frac{106}{100} * \frac{100}{106}$ of x = 7.95 * $[\frac{100}{106}]$

=> x = $[\frac{750}{100}]$

=> x = $[\frac{7.50}{1}]$

=> x = 7.5

Validation: 106% of 7.5 = 7.95

4 0

3 years ago

Mae took out a 30-year loan for $235,000 at 4.6% interest, compounded monthly. If her monthly payment on the loan will remain $1

zvonat [6]

1204.71*30(years)*12(months per year)=$433,695.60
Original price was 235,000 so she paid 433,695.60-235,000=$198,695.60 in interest.

8 0

3 years ago

Read 2 more answers

What is 0.000012 pounds in word form

erastovalidia [21]

The answer is twelve millionth

In a scientific notation, you have to put a decimal right after the first number (unless it is a zero). How many times you move the decimal from its original spot determines the answer. (FYI: In a number like 196 the decimal point is 196.000<--here)

1.46000000 (moved the decimal point 8 times, so the answer is --->)
1.46× $10^{8}$

6 0

3 years ago

Bob’s heart rate is 68 beats per minute. a. If this is his average heart rate, how many times will his heart beat in 15 years? b

cluponka [151]

Answer:

Try googling it

Step-by-step explanation:

8 0

2 years ago

In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equa

arlik [135]

Answer:

Yes. At this significance level, there is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

Step-by-step explanation:

The question is incomplete:

The significance level is 0.05.

The data is:

Brand X: 91, 100, 88, 89

Brand Y: 99, 96, 94, 99

Brand Z: 83, 88, 89, 76

We have to check if there is a significant difference between the absorbency rating of each brand.

Null hypothesis: all means are equal

$H_0:\mu_x=\mu_y=\mu_z$

Alternative hypothesis: the means are not equal

$H_a: \mu_x\neq\mu_y\neq\mu_z$

We have to apply a one-way ANOVA

We start by calculating the standard deviation for each brand:

$s_x^2=30,\,\,s_y^2=6,\,\,s_z^2=35.33$

Then, we calculate the mean standard error (MSE):

$MSE=(\sum s_i^2)/a=(30+6+35.33)/3=71.33/3=23.78$

Now, we calculate the mean square between (MSB), but we previously have to know the sample means and the mean of the sample means:

$M_x=92,\,\,M_y=97,\,\,M_z=84\\\\M=(92+97+84)/3=91$

The MSB is then:

$s^2=\dfrac{\sum(M_i-M)^2}{N-1}\\\\\\s^2=\dfrac{(92-91)^2+(97-91)^2+(84-91)^2}{3-1}\\\\\\s^2=\dfrac{1+36+49}{2}=\dfrac{86}{2}=43\\\\\\\\MSB=ns^2=4*43=172$