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vesna_86 [32]
3 years ago
12

Sally used 1 1/2 cups of flour for her cookie recipe, but they fell apart. She realized that she needs to add 3/4 cups more flou

r the next time she makes cookies. How much flour total will she need?
Mathematics
1 answer:
padilas [110]3 years ago
7 0

Answer:

2 cups of flour total for the recipe

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STatiana [176]
First you solve for the area of the unshaded triangle. Use the formula of area of triangle which is 1/2bh to find. 1/2(9)(4) = 18 cm^2. The area of the unshaded triangle is 18cm^2. Now we need to find the area of the rectangle. We can find that by using the formula for area of rectangle which is (b)(h). 12*4 = 48 cm ^2. Now that we have the area of the triangle and the area of the rectangle, we just need to subtract the area of the triangle from the area of the rectangle to get the area of the shaded region. 48 cm^2 - 18 cm^2 = 30 cm^2.

So our answer is: The area of the shaded region is 30 cm^2. In this case it’s option C or the third option for your quiz.
4 0
3 years ago
A biologist is comparing the growth of a population of flies per week to the number of flies a lizard will consume per week. SHe
skelet666 [1.2K]
This equation can be solved graphically by plotting the equations
  f(x) = 3^x
and
  g(x) = 5x-1.

The x-coordinate of the point(s) of intersection is the solution.

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On my graphing calculator, I find it easier to locate x-intercepts, so I would rewrite the equation as
  3^x -(5x -1) = 0
and plot the function
  h(x) = 3^x -(5x -1)
The x-intercept(s) would be the solutions. (There are two: x≈0.577, x=2.)

4 0
3 years ago
You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. You sample 30 nigh
kirill [66]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean GPA of night students and μ2 be the mean GPA of day students.

The random variable is μ1 - μ2 = difference in the mean GPA of night students and the mean GPA of day students.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 ≠ μ2 H1 : μ1 - μ2 ≠ 0

This is a two tailed test.

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 2.35

μ2 = 2.58

s1 = 0.46

s2 = 0.47

n1 = 30

n2 = 25

t = (2.35 - 2.58)/√(0.46²/30 + 0.47²/25)

t = - 1.8246

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [0.46²/30 + 0.47²/25]²/[(1/30 - 1)(0.46²/30)² + (1/25 - 1)(0.47²/25)²] = 0.00025247091/0.00000496862

df = 51

We would determine the probability value from the t test calculator. It becomes

p value = 0.0746

Since alpha, 0.05 < than the p value, 0.0746, then we would fail to reject the null hypothesis.

3 0
3 years ago
Alison raised 10 to the 5th power.Then she divided this value by 100.what was the quotient? (" 1000" IS THAT CORRECT)
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Yes, that is correct. 10 to the 5th is 100,000. so that divided by 100 = 1000. Hope it helps!
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The probability is 1/4 or 25%
4 0
3 years ago
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