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andrew-mc [135]
3 years ago
13

Which expression is equivalent to 24 ⋅ 2−7? (5 points)

Mathematics
2 answers:
fenix001 [56]3 years ago
8 0
1 over 2 to the power of 11
olchik [2.2K]3 years ago
3 0
Not sure I think it’s 1 over 2 to the power of 11
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Greta wants to make 5 pounds of a nut mix using peanuts and cashews. Her budget requires the mixture to cost her $6 per pound. P
Vinil7 [7]

Answer:

3 pounds of peanuts and 2 pounds of cashews

Step-by-step explanation:

Let x be the pounds of peanuts and y be the pounds of cashews

Greta wants to make 5 pounds of a nut mix using peanuts and cashews.

So, x+y=5 ----- A

Cost of 1 pound of peanuts = $4

Cost of x pounds of peanuts = 4x

Cost of 1 pound of cashews = $9

Cost of y pounds of cashews = 9y

Her budget requires the mixture to cost her $6 per pound

So, cost of mixture of x pounds of peanuts and y pounds of cashews is 6(x+y)

So, 4x+9y=6(x+y) --- B

Plot A and B

x+y=5 ---Blue

4x+9x=6(x+y) ---Green

Refer the attached figure

Intersection point = (x,y)=(3,2)

Hence she should use 3 pounds of peanuts and 2 pounds of cashews

6 0
3 years ago
A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than ex
quester [9]

Answer:1866

Step-by-step explanation:

Given

n=200

x=118

Population proportion P=\frac{118}{200}=0.59

\alpha=0.005

Realiability =99%

Z_{\frac{\alpha }{2}}=2.576

Margin of erroe is given by \sqrt{\frac{p\left ( 1-p \right )}{N}}

0.03= \sqrt{\frac{0.59\left ( 1-0.59 \right )}{N}}

85.667=\sqrt{\frac{N}{0.6519}}[tex]N=1865.88[tex]\approx 1866 Students

4 0
3 years ago
A researcher found a study relating the value of a car, y, to the age of the car, x. When researchers looked at the association
vredina [299]

Answer: c) About 16% of the variation in value of the car is explained by a linear relationship with the age of the car.

e) The correlation coefficient, r, is 0.397.

Step-by-step explanation:

Given that:

Coefficient of determination (r²) between two variables, age of car (x) and value of car (y) = 0.158

Correlation of determination (r²) of 0.158 = (0.158 × 100% = 15.8% of the variation between the two variables can be explained by the regression line). Hence, about 16% of the variation between age and value of car can be explained by the linear relationship.

Coefficient of correlation (r) = sqrt(r²) = sqrt(0.158) = 0.397

8 0
4 years ago
HELP! SOMEWHERE AROUND 20 POINTS
Aleks [24]

❤️Hello!❤️ A. is 6.80 inches, B. is 6.28 inches, C. is 776.470, D. is 840.764, so the standard bike will get you their faster. Hope this helps!↪️ Autumn ↩️

4 0
3 years ago
Solve for x. 0.6x = 1.2x + 6
hichkok12 [17]

Step-by-step explanation:

0.6x- 1.2x = 6

-0.6x = 6

x = 6/0.6

x = -10

8 0
3 years ago
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