Answer:
x = 63
Step-by-step explanation:
We can find the value of x by multiplying the difference of large arc to small arc with 1/2
if a = 117° then the large arc would be 243
1/2 × (243 - 117) = 63
Answer:
The function is increasing from x = 0 to x = 1.
Step-by-step explanation:
A <u>function</u> is increasing when the <u>y-value increases</u> as the <u>x-value increases</u>.
A <u>function</u> is decreasing when the <u>y-value decreases</u> as the <u>x-value increases</u>.
From x = -2 to x = -1 the function is decreasing as the y-value decreases as the x-value increases:
- x-value -2 to -1 → increase
- y-value 2 to 0 → decrease
From x = -1 to x = 0 the function is increasing as the y-value increases as the x-value increase:
- x-value -1 to 0 → increase
- y-value 0 to 2 → increase
From x = 0 to x = 1 the function is increasing as the y-value increases as the x-value increase:
- x-value 0 to 1 → increase
- y-value 2 to 8 → increase
Answer: 1/4
Step-by-step explanation:
y=mx+b
y=slope+y-intercept
mx=1/4
Answer:
The percentage of cockroaches weighing between 77 grams and 83 grams is about 55%.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

The percentage of cockroaches weighing between 77 grams and 83 grams
This is the pvalue of Z when X = 83 subtracted by the pvalue of Z when X = 83. So
X = 83



has a pvalue of 0.7734
X = 77



has a pvalue of 0.2266
0.7734 - 0.2266 = 0.5468
Rounded to the nearest whole number, 55%
The percentage of cockroaches weighing between 77 grams and 83 grams is about 55%.
There are going to be 10 cupcakes left,hope I helped (: