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makvit [3.9K]
3 years ago
12

Which expression is equivalent to ⅛x - 10(¾ - ⅜x) + ⅝ x?

Mathematics
1 answer:
postnew [5]3 years ago
3 0
9/2x-15/2 that is the answer
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The mean SAT score in mathematics, M, is 600. The standard deviation of these scores is 48. A special preparation course claims
kupik [55]

Answer:

Step-by-step explanation:

The mean SAT score is \mu=600, we are going to call it \mu since it's the "true" mean

The standard deviation (we are going to call it \sigma) is

\sigma=48

Next they draw a random sample of n=70 students, and they got a mean score (denoted by \bar x) of \bar x=613

The test then boils down to the question if the score of 613 obtained by the students in the sample is statistically bigger that the "true" mean of 600.

- So the Null Hypothesis H_0:\bar x \geq \mu

- The alternative would be then the opposite H_0:\bar x < \mu

The test statistic for this type of test takes the form

t=\frac{| \mu -\bar x |} {\sigma/\sqrt{n}}

and this test statistic follows a normal distribution. This last part is quite important because it will tell us where to look for the critical value. The problem ask for a 0.05 significance level. Looking at the normal distribution table, the critical value that leaves .05% in the upper tail is 1.645.

With this we can then replace the values in the test statistic and compare it to the critical value of 1.645.

t=\frac{| \mu -\bar x |} {\sigma/\sqrt{n}}\\\\= \frac{| 600-613 |}{48/\sqrt(70}}\\\\= \frac{| 13 |}{48/8.367}\\\\= \frac{| 13 |}{5.737}\\\\=2.266\\

<h3>since 2.266>1.645 we  can reject the null hypothesis.</h3>
6 0
3 years ago
Read 2 more answers
Check all of the ordered pairs that satisfy the equation below.
stiv31 [10]

Answer:

Hey there!

y=3/4x shows that the y-value is always 3/4 of the x-value.

Thus, if x is 4, y is 3. It always fits the 4:3 ratio.

The ordered pairs that satisfy this equation are: 28:21 and 16:12

Let me know if this helps :)

6 0
3 years ago
a band that will be the opening act for a concert charges a $700.00 flat fee as well as 16% of all ticket profits from ticket sa
Fofino [41]
The band earned $1,200.

1. Subtract the flat fee 1,200-700 =500
2. 500 is what just the band made. Divide that by .16 (16%) to get the total ticket amount... 500 divided by .16 = 3,125

The total ticket amount was $3,125.
5 0
3 years ago
Work out the percentage change to 2 decimal places when a price of £70 is increased to £99.
TiliK225 [7]

Answer: that is the solution to the question

Step-by-step explanation:

6 0
3 years ago
What is the value of 4 ,6,2 in the digits 654 321
marta [7]
4= 4,000
6= 600,000
2=20
5 0
3 years ago
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