<em><u>Answer:</u></em>
1/2
1/3
6
1/6
<em><u>Step-by-step explanation:</u></em>
When we are finding the opposite of a scale factor, the scale factor is always the reciprocal. E.g. From S to R, the scale factor is 3, so from R to S, the scale factor is 1/3 so:
1. From T to S, it's the reciprocal of the scale factor (2) so 1/2
2. From S to R, it's the reciprocal of the scale factor (3) so 1/3
3. From R to T, is the from a figure to a figure to a figure so we can multiply the two scale factors (2 and 3) to get 6
4. From T to R, that's the opposite of R to T, so it's the reciprocal of the scale factor from R to T (6) so 1/6
Answer:
Malik substituted 60 for y instead of x.
Step-by-step explanation:
According to the given situation the computation of error that Malik make first when solving the equation is shown below:-
First, we will find the value of x



x = 625
Now, we have

we will solve the above equation, to find the value of y
24 - 4y = 10
4y = 24 - 10
4y = 14


So, from the above calculation, the correct option is
Malik substituted 60 for y instead of x.
Answer:
Grace could have 1.36 pounds, 1.37 pounds, 1.38 pounds or 1.39 pounds of apples.
Step-by-step explanation:
Let a represent pounds of apples.
We have been given that Grace has 1.35 pounds of strawberries. She has more pounds of apples than pounds of strawberries.
This means that a is greater than 1.35. We can represent this information in an inequality as:

We are also told that Grace has 1.4 pounds of bananas. She has fewer pounds of apples than pounds of bananas. This means that a is less than 1.4. We can represent this information in an inequality as:

Upon combining both inequalities, we will get:

Therefore, Grace could have 1.36 pounds, 1.37 pounds, 1.38 pounds or 1.39 pounds of apples.
Answer:
The p-value here is 0.0061, which is very small and we have evidence that the girls' mean is higher than the boys' mean.
Step-by-step explanation:
We suppose that the two samples are independent and normally distributed with equal variances. Let
be the mean number of ring tones for girls, and
the mean number of ring tones for boys.
We want to test
vs
(upper-tail alternative).
The test statistic is
T =
where
.
For this case,
,
,
,
,
.
and the observed value is
t =
.
We can compute the p-value as P(T > 2.6309) where T has a t distribution with 20 + 20 - 2 = 38 degrees of freedom, so, the p-value is 0.0061. Because the p-value is very small, we can reject the null hypothesis for instance, at the significance level of 0.05.