The given questions seems incomplete below is the correct question
A highly selective boarding school will only admit students who place at least 1.5 standard deviations above the mean on a standardized test that has a mean of 200 and a standard deviation of 26. What is the minimum score that an applicant must make on the test to be accepted?
Answer:
Minimum score is 239
Step-by-step explanation:
Minimum score = mean + standard deviation above mean*standard deviation
= 200 + 1.5*26
= 200+ 39
Minimum score = 239
Answer: x = log₃₇(12)
Step - by - step explanation:
1. Remove the variable from the exponent using logarithms
37^x=12
Take the common logarithm of both sides of the equation:
log₁₀(37^x)=log₁₀12)
Use the log rule: log_a(x^y)=y*log_a(x) to move the exponent outside the logarithm:
x*log₁₀(37)=log₁₀(12)
2. Isolate the x-variable
x*log₁₀(37)=log₁₀(12)
Divide both sides of the equation log₁₀(37) by:
x = log₁₀(12) / log₁₀(37)
Use the formula
to combine the logarithms into one:
x=log₃₇(12)
Decimal form:
x=0.6881648129099501
Hope this helps!
Answer:
C
Step-by-step explanation:
Next time, please begin with a question of your own, and share whatever work you have done.
Look at the illustration. You want to reflect point J in the origin. Point J's coordinates are (0,3). If you reflect this point in the origin, you'll get the new point J' as (0,-3).
Next, reflect point I in the origin. The original point I is (-4,4). Reflecting this in the origin takes you from Quadrant 2 to Quadrant 4. The coordinates of the new point I' are (4,-4). Spend enuf time with this so that it becomes clear.
Next, reflect point K in the origin. You might want to draw a straight line thru point K and the origin. The new point, K', will lie on this line the same distance from the origin as is the old point K is from the origin.